Answer:
The horizontal range of the cannonball is 9180.4 meters.
Explanation:
The horizontal range of a cannonball can be calculated using the following formula:
range = (speed * speed * sin (2 * angle)) / acceleration due to gravity
In this case, we are given that the cannon is fired at an angle of 45 degrees and that the speed of the ball is 300 m/s. We can plug these values into the formula to calculate the horizontal range of the ball:
range = (300 * 300 * sin (2 * 45)) / 9.8
= (90000 * sin (90)) / 9.8
= (90000 * 1) / 9.8
= 9180.4 m
a student performs an experiment by ringing a bell in the air and in a pool and measuring the time it takes for a friend to hear the bell. in one or two sentences, make and justify a hypothesis on which medium the friend would hear the bell the fastest.(2 points)
Water is much denser than air which means that the molecules of water are closer together than the molecules of air. Therefore, sound of the bell travels faster through liquid than in air.
How far can sound propagate via water?The distance that sound waves travel is mostly influenced by the temperature and pressure of the water, even though sound travels through water at a far quicker rate than it does in the air. While pressure rises as ocean depth rises, the water's temperature only falls to a certain point, beyond which it remains largely constant. These elements have an odd impact on the speed (and range) of sound waves.
Why does sound travel through water more quickly than through air?This is true because sound is a pressure wave that travels by causing molecules to move; the nature of the molecules determines how quickly or slowly the wave travels. For example, it moves more quickly through water than through air, and through wood than through water.
To know more about sound visit
brainly.com/question/29707602
#SPJ1
what is the length of the y component shown below?
The length of the y component shown is C. 2.0.
How to find the length ?We are given the angle of the vector, and the length of one of the components of the vetor. Given the angle we have, the available component is the hypotenuse. The y component that we are to find, will then be the opposite or perpendicular component.
To solve for the length of the y - component therefore, the useful operation would be the Sin function.
The length of the y - component would be:
Sin 42 ° = Opposite / Hypotenuse
Sin 42 ° = y component / Hypotenuse
y - component = Sin 42 ° x Hypotenuse
y - component = Sin 42 ° x 3
y - component = 0. 6691 x 3
y - component = 2. 0
In conclusion, the y - component is 2.0.
Find out more on y-component at https://brainly.com/question/3387587
#SPJ1
Full question is:
What is the length of the y-component of the vector shown below?
A. 2.2 B. 3 c. 2.0 D. 2.7A large cannon is mounted on a cart with frictionless wheels that is initially at rest on a horizontal surface. The cannon fires a large cannonball to the right with a speed v_b which is then caught by a trap firmly attached to the cart. What is the final speed of the cannoncart-cannonball system? V > v_b, to the left
The final velocity of the cannonball-cart system is less than the initial velocity of the cannonball and the system will move in the direction of the cannonball ( V < v_b ).
What is the law of conservation of linear momentum?
The law of conservation of linear momentum states that the sum of the initial momentum is equal to sum of the final momentum, provided that the system is Isolated.
Mathematically, the law of conservation of linear momentum is given as;
Pi = Pf
where;
Pi is the sum of the initial momentumPf is the sum of the final momentumm₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is the mass cannon ballu₁ is the initial velocity of the cannon ballm₂ is the mass of the cartu₂ is the initial velocity of the cartv is the final velocity of the cannoncart-systemsince the cart is initially at rest, the initial velocity of the cart = 0
m₁u₁ + 0 = v ( m₁ + m₂ )
m₁u₁ = v ( m₁ + m₂ )
v = ( m₁u₁ ) / ( m₁ + m₂ )
given initial velocity of the cannon ball = v_b
The final velocity of the cannonball-cart system is calculated as follows;
V = ( m₁v_b ) / ( m₁ + m₂ )
Hence, V < v_b
Learn more about linear momentum here: https://brainly.com/question/7538238
#SPJ1
write a story and create a star schema in erwin: you need to add attributes to each entity (table) your model should include at least one fact and four dimensions you must submit your solution using erwin (as a .erwin file) and a pdf file. the erwin includes star schema and pdf file includes the story.
A dimensional model constructed as a star arrangement is known as a star schema.
Star Schema Design
A huge central table, known as the fact table, is often surrounded by smaller satellite tables, known as dimension tables, that are connected to the fact table in a radial design. An outrigger table and a dimension table can optionally be connected in a star structure.
Dimensional modelling elements are demonstrated in the following data warehouse example from a movie rental shop. Customer, Movie, Market, and Time are dimension tables; District and Region are outrigger tables; and the REVENUE table is a fact table. The REVENUE fact table includes revenue information for each customer's rentals of movies over time in a certain geographic area. The customers, films, marketplaces, and time periods utilized in the fact table are defined in the database's dimension tables.
To visually demonstrate that a table is a fact, dimension, or outrigger table, you can display icons. Right-click a white space in the diagram window of a dimensional model, then select Table Display, Dimensional Icon.
To learn more about Star Schema Design
https://brainly.com/question/27507218
#SPJ1
Interpret Would a hurricane be more likely
to remain a hurricane if it reached point A or
point B? Explain your answer.
Interpret If a hurricane got to point B, would it be more likely to stay a hurricane. because warm ocean water is what creates hurricanes. The hurricane will likely continue to be a hurricane if it travels to point b because it will still be on the ocean.
What does a hurricane means?A tropical storm is considered a hurricane if its sustained winds are 74 mph or higher. The eye of a storm can extend 400 miles and is normally 20 to 30 miles wide. Storms can be hazardous due to their intense rainfall, powerful gusts, and storm surges. A spiral arrangement of thunderstorms that produce torrential rain and squalls, a low-pressure center, and powerful winds are the characteristics of a tropical cyclone, a fast revolving storm system.
What kills a hurricane and why do hurricanes happen?In a 2014 study, Dr. Edward Rappaport, the National Hurricane Center's deputy director, found that water is the No. 1 killer during a hurricane or tropical storm that strikes the U.S., accounting for nearly 90% of all tropical cyclone deaths. Most people drown in storm surge, rainfall flooding, or high surf.
Warm ocean water and humid, moist air are required for one to form. Water is released from the air, forming the storm clouds, while humid air is flowing upward at a zone of low pressure over warm ocean water. The air within a storm rotates as it climbs.
To know more about Hurricane visit:
https://brainly.com/question/18950883
#SPJ1
which equation states newtons second law?
the ANSWER is m=f/a
(apex physical science)
According to Newton's Second Law of Motion, when a force applies on a mass, acceleration (or speeding up) occurs (object). The application of this law of motion can be seen while bicycling. There is mass in your bicycle. The force is generated by the leg muscles pressing against the bicycle pedals.
What equation states newtons second law?According to the second law, an item will require more force to accelerate the more mass it has. In fact, the formula F=ma states that force is equal to mass times acceleration. This also implies that a ball will travel farther the harder you kick it.
Therefore, The formula F = ma, or force is equal to mass times acceleration, is part of Newton's second law of motion. Find out how to compute acceleration using the formula.
Learn more about newtons here:
https://brainly.com/question/17375354
#SPJ1
Using the graph provided, determine the velocity in meters per second of the object at t = 6 seconds. Do not include units in your answer.
Answer:
Below
Expetion:
The SLOPE of the tim-position graph is the velocity at a given time....
Slope = rise / run
From graph at t = 6 sec = (4 -8) / (7-5) = -2 m/s
From the graph, the position of the object at 6 seconds is 8.33 m. Then the velocity taken to cover this distance is 1.38 m/s.
What is velocity?Velocity is a physical quantity used to express distance covered by object per unit time. Velocity is a vector quantity thus, having both magnitude and direction.
Velocity is the rate of speed and mathematically it is the ratio of distance to the time. As more distance covered within less time, the velocity is higher.
From the graph, after a time of 6 seconds, the position of the object is 8.33 m. Then, the velocity of the object is:
velocity = distance/ time
= 8.33 m / 6 s
= 1.38 m/s.
Therefore, the velocity of the object at 6 s is 1.38 m/s.
To find more on velocity, refer here:
https://brainly.com/question/18084516
#SPJ2
1.The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by 52.7 Co, 1.48 x 10-3 m3, and 946 J, respectively. The mass of the gas is 29.9 g, and its specific heat capacity (at constant pressure) is 1060 J/(kg Co). Determine the pressure. 2. Under constant-volume conditions, 3600 J of heat is added to 1.9 moles of an ideal gas. As a result, the temperature of the gas increases by 65.1 K. How much heat would be required to cause the same temperature change under constant-pressure conditions? Do not assume anything about whether the gas is monatomic, diatomic, etc.
While a gas's temperature, volume, and internal energy rise, its pressure stays constant. An ideal gas sample is heated while maintaining a fixed pressure.
The temperature of a cylinder containing an ideal gas with fixed mass and constant volume is changed. At constant pressure of 2.0 atm, the volume of an ideal gas is dropped from 5.0 L to 5.0 mL. Calculate the work required for this process in J. Assuming the environment is always at a constant 300:0 K temperature and pressure, Without adding or removing heat, the volume of a perfect monoatomic gas is squeezed to halve.
to know more about internal energy please visit.
https://brainly.com/question/11278589
#SPJ4
Fig. 62.7 A C₁2V 50 V 5₁ 30 (a) Calculate the readings of the ammeter and the voltmeter when the switches are as shown with S closed and S₂ open. Explain your calculations.
Generally, To solve this problem, we need to first analyze the circuit and determine the current and voltage at various points.
Starting at the left side of the circuit, we have a 50 V battery with its positive terminal connected to a resistor and its negative terminal connected to a switch. When the switch is closed, this allows current to flow from the battery through the resistor. The current will be given by Ohm's law:
I = V/R
Where I is the current, V is the voltage (50 V in this case), and R is the resistance of the resistor (5Ω in this case). Plugging in these values, we get:
I = 50 V / 5Ω = 10 A
Next, we need to determine the voltage across the resistor. This can be found using Ohm's law again:
V = IR
Where V is the voltage across the resistor, I is the current through the resistor (10 A in this case), and R is the resistance of the resistor (5Ω in this case). Plugging in these values, we get:
V = 10 A * 5Ω = 50 V
Since the voltage across the resistor is equal to the voltage of the battery, we know that the current through the resistor must be flowing in the same direction as the battery's current.
The ammeter in the circuit is connected in series with the resistor, so it will measure the current flowing through the resistor. Therefore, the reading on the ammeter will be 10 A.
The voltmeter is connected in parallel with the resistor, so it will measure the voltage across the resistor. Therefore, the reading on the voltmeter will be 50 V.
Read more about voltmeter
https://brainly.com/question/8505839
#SPJ1
during this phase, although temporary, the membrane potential becomes more negative than the resting level.
Different concentrations both inside and outside the cell contribute to the resting membrane potential. The cell membrane's greater permeability to potassium ion movement than to sodium ion transport is what gives the cell its negative charge.
K+ (a cation) efflux through K+ channels or Cl- (an anion) influx through Cl- channels are frequent causes of hyperpolarization. The neuron enters a 2-millisecond refractory phase while hyperpolarized, during which time it is unable to produce further action potentials.
A neuron that is at rest preserves its electrical polarisation, or the fact that its membrane has a negative electrical potential relative to the outside. The resting potential is the name given to this difference in electrical potential or voltage. This potential is roughly -70mV while at rest.
To know more about membrane potential
https://brainly.com/question/26872631
#SPJ4
A large water tank with cross sectional area A and height of h is filled to the top with water (density= rho). There is a hole of cross sectional area a located at the bottom of the tank. The velocity of the water exiting the small hole is
A large water tank with cross sectional area A and height of h is filled to the top with water (density= rho). There is a hole of cross sectional area a located at the bottom of the tank. The velocity of the water exiting the small hole will raise to a height and then stop.
what is density?The mass of a substance per unit volume is used to define its density.Mass/Volume is the formula for density.Unit of Density = Unit of Mass/Unit of VolumeSI unit of density equals kg/m3 CGS unit of density equals g/ml (1 cm3 = ml).However, we typically employ g/cm3.A substance's distinctive quality is its density.How tightly a substance's molecules are packed into a specific volume is determined by its density.The amount of mass in a given space is measured as density. It is a means to gauge how small an object is.It is the quantity of molecules present in a space or the mass of matter per unit volume.To learn more about density refer to:
https://brainly.com/question/952755
#SPJ4
A certain high-efficiency LED light bulb has a power output of 7.20 W. That is, 7.20 J of electric energy is converted to electromagnetic (light) energy and radiated away every second. How much energy is output by the lightbulb if it is left on for a total time of 7.00 hours? From this, what do we find the total energy output in joules to be?
In other words, every second 7.20 J of Electrical energy is transformed to electromagnetic (light) energy and radiated away. If the lightbulb is on for a total of 7.00 hours, its total energy production is 181440J.
Power of the led light bulb =P=7.20W
Time for which it is left on = 7hrs
=7*60 min
=7*60*60s
=25200s
As we know,
power= Energy/time
7.2=Energy/25200
Energy=181440 J
so, the total energy output in joules is 181440J
Electrical energy is a type of energy that is related to forces on electrically charged particles and electrically charged particle motion (often electrons in wires, but not always). Electric current and electric potential, which are both delivered by an electrical circuit and are frequently referred to as voltage due to the fact that electric potential is measured in volts, offer this energy (e.g., provided by an electric power utility). Current is not necessary; for instance, if there is a voltage differential along with charged particles, such as static electricity or a charged capacitor, the moving electrical energy is often changed into another kind of energy (e.g., thermal, motion, sound, light, radio waves, etc.).
Learn more about Electrical energy here:
https://brainly.com/question/9464028
#SPJ4
in a circle of radius 4 meters, what is the lenth of the arc that subtends a central angle of 100 degrees
The length of the arc that subtends a central angle of 100 degrees in a circle with a radius of 4 meters An arc measures 5.23 cm in length.
What is the length of an arc ?The formula for calculating a circle's arc length is:
[tex]l=\frac{\theta}{360^{\circ}}(2 \pi r)[/tex]
Where:
[tex]$\theta$[/tex] is the angle at its center that is subtended.
[tex]$2 \pi r$[/tex] is the circle's circumference.
its circumference [tex]$2 \pi r=(2) \cdot(3.14) \cdot(10)=62.8 \mathrm{~cm}$[/tex]
hence, arc length
[tex]\begin{aligned}& l=\frac{\theta}{360^{\circ}} \cdot(2 \pi r) \\& l=\frac{30}{360^{\circ}} \cdot(62.8) \\& l=\frac{62.8}{12} \\& l \approx 5.23 \mathrm{~cm}\end{aligned}[/tex]
The arc length is calculated by multiplying the radius by the central angle. If = 2 pi over 3 and the radius is 4 cm, the arc length is 8/3 cm. The following formula can be used to determine the length of an arc given an angle and a circle's diameter: ArcLength is equal to (angle / 360) (angle pi radius). Pi equals 22/7, diameter is 2*radius, and angle is in degrees.
To learn more about length of an arc refer to :
https://brainly.com/question/2285164
#SPJ4
Calculate the total momentum of the system comprising the two carts and the two people.
Christine and Daemon both have a momentum of 81.69kgm/s
The momentum of the system can now be obtained as 163.38kgm/s.
What is the momentum of the cart and the peopleWe know that momentum is a vector quantity and as such, we know that we must have to look at the direction If we are talking about the vector and this is important to our discussion.
We must note that if we consider the two objects that we have, they are moving in the same direction and as such, the velocity of the momentum of the objects would have to be added accordingly in the way that we work with vector
Then we have;
Total momentum of the system = Momentum of Christine + momentum
Daemon
In order to obtain the total momentum of the system we can now add up and we have;
81.69kgm/s + 81.69kgm/s
= 163.38kgm/s
Thus the combined system would be found to have a momentum of 163.38kgm/s.
Learn more about momentum:https://brainly.com/question/24030570
#SPJ1
FILL IN THE BLANK. for a t statistic, the magnitude of the estimated standard error is___. the sample variance correlates in a positive direction directly related to sample variance and inversely related to sample size has no effect on the variance or sample size increases cohen's d
For a t statistic, the magnitude of the estimated standard error is inversely related to sample size.
The sample variance does not have an effect on the magnitude of the estimated standard error for a t statistic. However, the sample variance is directly related to the variance of the population from which the sample is drawn. The sample size, on the other hand, is inversely related to the magnitude of the estimated standard error for a t statistic.
Cohen's d is a measure of effect size that is used to compare the means of two groups. It is not related to the magnitude of the estimated standard error for a t statistic.
Learn more about the standard error at
https://brainly.com/question/13179711?referrer=searchResults
#SPJ4
an ideal gas is taken from initial state i at pressure p0 to volume v0 to final state f at pressure 2p0 and volume 2v0. the figures below represent four possible processes by which the gas can be taken from state i to state f. for which process is the work done by the gas greatest?
The Total Work done by the gas = area under the graph on the volume axis.
Clearly, from the graph, we can see that area below the isotherm is less than the area under the straight line AB process.
On drawing multiple isotherms across AB, we can see that the temperature first increases and then decreases.
1. The work done by the gas in the process A to B exceeds the work that would be done by it if the system were taken from A to B along the isotherm.
2. In the T-V diagram, path AB becomes a part of the parabola.
3. Ongoing from A to B, the temperature T of the gas first increases to the highest value and then decreases.
To know more about ideal gas:
https://brainly.com/question/28257995
#SPJ4
when a man loves a magnetic continually changes magnitude and direction a voltage is continually being induced in the coil this voltage is called voltage
When a magnetic field continually changes magnitude and direction, a voltage is continually induced in the coil. This voltage is called induced voltage.
Induced voltage is the type of voltage that is a product of electromagnetic induction. It is generally defined as the rate of change of magnetic flux with respect to time via a closed circuit.
A wire that is carrying a current will experience an induced voltage along its length if the current changes. The changes in current change the magnetic field flux perpendicular to the wire.
Induced voltage is calculated using the Faradays equation:
e = N(dΦ/dt)
e = induced voltage (volts).N = number of turns in the wire coil.Φ = magnetic flux (webers).t = time (seconds)Learn more about induced voltage at https://brainly.com/question/1103136
#SPJ4
A simple pendulum on Planet X oscillates at 3.1 Hz. If the acceleration due to gravity is 31.3 m/s^2 what is the length of the pendulum in cm?
The length of the pendulum is 8.258 cm .
Given,
Frequency f= 3.1 Hz
Acceleration due to gravity
We have to find out the length of pendulum
L=g / ( 4 x (π)^2 x (f)^2 ) --------------(1)
Where,
L is length
g is acceleration due to gravity
f is frequency
Put the given value in equation (1) becomes
L= (31.3)m/s^2 / (4x (3.14)^2 x (3.1)^2)Hz
L= 31.3 / 379
L = (0.08258) m
L= (8.258)cm
The length of pendulum is
L= (8.258)cm.
The rate by which velocity changes concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.
Learn more about acceleration here:- https://brainly.com/question/25876659
#SPJ4
The length of the pendulum is 8.258 cm .
What is pendulum?
A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position.
Given,
Frequency f= 3.1 Hz
Acceleration due to gravity
We have to find out the length of pendulum
L=g / ( 4 x (π)^2 x (f)^2 ) --------------(1)
Where,
L is length
g is acceleration due to gravity
f is frequency
Put the given value in equation (1) becomes
L= (31.3)m/s^2 / (4x (3.14)^2 x (3.1)^2)Hz
L= 31.3 / 379
L = (0.08258) m
L= (8.258)cm
The length of pendulum is
L= (8.258)cm.
The rate by which velocity changes concerning time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.
To learn more about pendulum visit
https://brainly.com/question/29702798
#SPJ4
A rocket designed for vertical takeoff has a mass of 5398kg. Find the net work done on the rocket as it accelerates upward at 2.0m/s through a distance of 30.0m starting from rest
The net work done on the rocket as it accelerate upward at 2 m/s is 10796 J.
What is work done?Work done is the product of force and distance.
To calculate the net work done on the rocket, we use the formula below.
Formula:
W = mv²/2.......................Equation 1Where:
W = Net work donem = Mass of the rocketv = Velocity of the rocketFrom the question,
Given:
m = 5398 kgv = 2 m/sSubstitute these values into equation 1
W = (5398×2²)/2W = 10796 JHence, the net work done is 10796 J.
Learn more about work done here: https://brainly.com/question/25573309
#SPJ1
The net work done on the rocket as it accelerates upward at 2.0 m/s through a distance of 30.0m starting from rest is 10796 J
How do I determine the net workdone?First, we shall list out the given parameters. This is shown below:
Mass (m) = 5398 KgVelocity (v) = 2.0 m/sDistance (d) = 30.0 mNet work done (W) = ?Considering the given parameters, we can obtain the net work done on the rocket as illustrated below:
W = ½mv²
Inputting the various varables we have:
W = ½ × 5398 × 2²
W = 2699 × 4
W = 10796 J
Thus, we can conclude that the net work done on the rocket is 10796 J
Learn more about workdone:
https://brainly.com/question/14667371
#SPJ1
a block of known mass m is on a disk that rotates about its center, as shown above. the block does not slip on the disk, and travels at a constant tangential speed v when at a distance r from the center with a centripetal force of magnitude f exerted on it. which of the following statements about other quantities that might be determined is correct?
The block's centripetal acceleration may be calculated since ac=v2rac=v2r when the radius and tangential speed of the block are known.
In science, what exactly is a force?The phrase "force" seems to have a precise definition in physics. It is quite acceptable to refer to a force of this level as a push or a pull. An item does not "have in it" or "contain" a force. One thing is subject to a force from another.
What do motion and force mean?Basically, force is a push or pull that affects an item or energy as a characteristic of physical motion or movement. When two things interact, it happens. Furthermore, a body is said to be in motion when it is moving.
To know more about Force visit:
https://brainly.com/question/13191643
#SPJ4
g calculate the mass-to-light ratio for a globular cluster with a luminosity of 106 lsun and 105 stars. (assume that the average mass of a star in such a cluster is 1 msun.)
The mass-to-light ratio for a globular cluster is equal to 137.7 kg/lsun
To measure the mass-to-light ratio of a globular cluster, we first determine the total mass of the cluster. Since the cluster has 105 stars, and the average mass of a star in the cluster is 1 m-sun, therefore, the total mass of the cluster is 10^5 * 1 msun = 10^5 msun.
Now, we convert the luminosity of the cluster from solar units to kilograms. The luminosity of the cluster is given as 10^6 lsun, which is equal to 10^6 * 3.828 x 10^26 W.
Using the equation, [tex]E = mc^2[/tex], we can convert this energy to mass:
[tex]mass = (luminosity * time) / (c^2)[/tex]
where, c is the speed of light (3 x 10^8 m/s) and time is the amount of time over which the luminosity is measured (here, time is equal to 1 second).
Substituting the values in above equation, we find that the mass of the cluster in kilograms is approximately 1.45 x 10^31 kg.
To determine the mass-to-light ratio, divide the total mass of the cluster (in kilograms) by its luminosity (in solar units):
mass-to-light ratio = (total mass of cluster in kg) / (luminosity in solar units)
Substituting the values in above equation, we find that the mass-to-light ratio for this globular cluster is approximately:
1.45 x 10^31 kg / 10^6 lsun = 137.7 kg/lsun.
Learn more about globular cluster at:
brainly.com/question/15222665
#SPJ4
compare and contrast what it looks like to fall into a black hole from the perspective of the person falling into it vs. the perspective of someone watching it from a safe distance.
From the perspective of a person falling into the black hole, it would look like a high gravity object pulling us and from the perspective of person at a safe distance, it will appear a black dot.
From the perspective of a person falling into the black hole, the universe is compressed into a dot, the color changes, the stars orbit at a rate ten times faster than before, and you see a flash of visible light or invisible microwave radiation before your particles are stretched to the point where they are crushed by the extreme gravity of the black hole. This will probably happen in a matter of seconds.
It will appear to be little more than a dot to someone standing back and viewing from a safe distance.
To know more about Black holes, visit,
https://brainly.com/question/468699
#SPJ4
If you push on a heavy box which is at rest you must apply some force to start its motion however once the box is sliding you can apply a smaller force to maintain its motion
The reason why the stationary object is more difficult to move is the law of inertia.
What is the Newton first law?We know that according to the Newton first law, an object that is at rest would continue to be at rest unless the object has been acted upon by an external force. Also, the object that is in a state of constant motion would continue in the state of constant motion unless the object has been acted upon by an external force.
The law that I have just described above is called the law of inertia. The concept of the law has to do with a reluctance towards motion. The object does not move easily. We would have to apply a lot of force to the object which would enable us to over come this force of inertia and get the object to start moving in the first place. A little force can now maintain the motion of the object in a straight path.
Learn more about Newton's law:https://brainly.com/question/15280051
#SPJ1
A soccer player runs at 10 m/s and runs into a 80 kg referee standing on the field causing the referee to fly forward at 6.0 m/s. Assume the soccer player comes to complete stop after impact. What would be the mass of the soccer player be?
The mass of soccer player will be 120kg. Writing down 1/2 m1 will help us remember that KE = 1/2 mv2 (v1i) 2 + 1/2 m2(vi) (vi) 2 = 1/2 m1(v1f) (v1f) 2 + 1/2 m2 (v2f) (v2f) 2.
How to solve ?According to Newton's third law,
Given that a soccer player runs at 10m/s and plows into a 80kg referee standing on the field causing the referee to fly forward at 56m/s. Let
mass of the player = ?
initial velocity of the player = 10m/s
Final velocity of the player
mass of the referee = 80 kg
Initial velocity of the referee = 0 ( since he is at rest )
Final velocity of the referee = 6 m/s
Since it is a perfectly elastic collision,
U1 =V2 - V1 ........ (1)
M1U1 = M2V2 + M1V1........ (2)
Substitute all the necessary parameters into the equation (1)
10 = 6 - V1
V1 = 10 - 6
V1 = 4 m/s
Now, Substitute all the necessary parameters into the equation (2)
10M1 = (80 x 6) + (4M1)
10 M1- 4 M1 = 480
4M1 = 480
M1 = 480/4
M1 = 120kg
Therefore, the mass of soccer player will be 120kg
Collision formula: What is it?When kinetic energy (KE) and momentum (p) are conserved during a collision, the collision is said to be elastic. To put it another way, it denotes that KE0 = KEf and po = pf. Writing down 1/2 m1 will help us remember that KE = 1/2 mv2 (v1i) 2 + 1/2 m2(vi) (vi) 2 = 1/2 m1(v1f) (v1f) 2 + 1/2 m2 (v2f) (v2f) 2.
How is velocity determined?By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.
Learn more about Collision here:
https://brainly.com/question/12497950
#SPJ1
Calculate the current event horizon (Schwarzschild radius) of the SMBH. Show your work, give your final answer in units of astronomical units, AU)
The event horizon is about many millions of kilometers for a supermassive black hole(SMBH).
Schwarzschild radius, also called the gravitational radius, is the radius below which the gravitational attraction of the particles of a body must cause irreversible gravitational collapse.
The size of the event horizon ( the Schwarzschild radius) is directly proportional to the mass of the black hole. Astronomers have seen black holes with event horizons. Its size ranges from 6 miles to the size of our solar system.
A supermassive black hole (SMBH) is the largest type of black hole. Its mass is in hundreds of thousands or millions to billions of times the mass of the Sun (M☉).
To know more about event horizon here
brainly.com/question/13045740
#SPJ4
A polo player’s arm and stick form a 2.5-m rigid segment. If the arm and
stick are swung with an angular speed of 1.0 rad/s as the player’s horse gallops
at 5 m/s, what is the resultant velocity of a motionless ball that is struck
head-on? (Assume that ball velocity is the same as the linear velocity of the
end of the stick.)
A polo player's arm and stick together measure 2.5 metres in stiffness. A head-on collision with a still ball results in a velocity of r=7.27 m/s.
What does velocity mean to you?
The velocity of any object is the speed at which it is moving in that direction as quickly as a car travelling north on such a route or a rocket taking flight.
What does velocity provide as a means of?
Motion that starts in one place and moves to another is measured in terms of velocity. There are innumerable practical applications for velocity, but one of the more common ones is determining how quickly you will travel between two locations.
Briefing:
sv=rω
where ω = angular speed
r = the circle's radius.
v=1×2.5=2.5" " m/s
v=(2.5+5)m/s=7.5" " m/s
r=√(〖2.5)²+5²+2(2.5×5)cosθ)]
r=√(〖2.5)²+5²+2(2.5×5)cos30^0 )]
r=7.27m/s
To learn more about velocity.
brainly.com/question/18084516
#SPJ1
Determine the momentum of …
a. … an electron (m= 9.1 x10-31 kg) moving at 2.18 x 106 m/s (as if it were in a Bohr orbit in the H atom).
b. … a 0.45 Caliber bullet (m = 0.162 kg) leaving the muzzle of a gun at 860 m/s.
c. … a 110-kg professional fullback running across the line at 9.2 m/s.
d. … a 360,000-kg passenger plane taxiing down a runway at 1.5 m/s
A. The momentum of the electron is 1.98×10⁻²⁴ Kg.m/s
B. The momentum of the Caliber bullet is 139.32 Kg.m/s
C. The momentum of the professional fullback is 1012 Kg.m/s
D. The momentum of the passenger plane is 540000 Kg.m/s
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed mathematically as:
Momentum = mass × velocity
A. How do I determine the momentum of the electron?
Mass of electron = 9.1×10⁻³¹ KgVelocity of electron = 2.18×10⁶ m/sMomentum of electron =?Momentum = mass × velocity
Momentum of electron = 9.1×10⁻³¹ × 2.18×10⁶
Momentum of electron = 1.98×10⁻²⁴ Kg.m/s
B. How do I determine the momentum of the Caliber bullet?
Mass of Caliber bullet = 0.162 KgVelocity of Caliber bullet = 860 m/sMomentum of Caliber bullet =?Momentum = mass × velocity
Momentum of Caliber bullet = 0.162 × 860
Momentum of Caliber bullet = 139.32 Kg.m/s
C. How do I determine the momentum of the professional fullback?
Mass of professional fullback = 110 KgVelocity of professional fullback = 9.2 m/sMomentum of professional fullback =?Momentum = mass × velocity
Momentum of professional fullback = 110 × 9.2
Momentum of professional fullback = 1012 Kg.m/s
D. How do I determine the momentum of the passenger plane?
Mass of passenger plane = 360000 KgVelocity of passenger plane = 1.5 m/sMomentum of passenger plane =?Momentum = mass × velocity
Momentum of passenger plane = 360000 × 1.5
Momentum of passenger plane = 540000 Kg.m/s
Learn more about momentum:
https://brainly.com/question/250648
#SPJ1
show that the probability density for the ground state solution of the one dimensional coulomb potential energy in the schrodinger equation has its maximum at x=a0
Through Schrodinger equation probability, we can prove that the probability density for the ground state solution of the one dimensional coulomb potential energy in the Schrodinger equation has its maximum at x=a₀.
Given wave function is Ψ(1s) = 1/√π{1/a₀}^(3/2) e ^(x/a₀)
Probability refers to potential. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.
The Schrödinger equation is a linear partial differential equation that describes the wave function or state function of a quantum-mechanical system.
To find the most probable distance, differentiate the equation |Ψ(1s)|²x² with respect to x and equating to zero, we get
d / dr | 1/√π e(1/a₀)^3 / 2e^(-x/a₀) |² x² = 0
1 / π(1 / a₀)³ d / dr (e^-2x / e₀) (x²) = 0
[2e^(-2Zx / a₀) x + e^(-2Zx / a₀) {-2 / a₀} x²] = 0
2 + (-2 / a₀) x = 0
This gives x = a₀
Therefore, through Schrodinger equation probability, we can prove that the probability density for the ground state solution of the one dimensional coulomb potential energy in the Schrodinger equation has its maximum at x=a₀.
To know more about Schrodinger, refer: https://brainly.com/question/6336766
#SPJ4
explain how doping can increase the conductivity of a semiconductor. match the words in the left column to the appropriate blanks in the sentence on the right.
The left column to the appropriate blanks in the sentence on the right.: The conductivity of semiconductors is increased by adding an appropriate amount of suitable impurity or doping. Doping can be done with an impurity.
A semiconductor is a fabric, which has an electrical conductivity price falling between that of a conductor, including copper, and an insulator, inclusive of glass. Its resistivity falls as its temperature rises; metals behave in the opposite manner.
A semiconductor is a material, which has an electrical conductivity cost falling among that of a conductor, consisting of copper, and an insulator, such as glass. Its resistivity falls as its temperature rises; metals behave in the opposite manner.
Learn more about semiconductors here:
https://brainly.com/question/10618523
#SPJ4
In the figure, determine the character of the collision. The masses of the blocks, and the velocities before and after are given. The collision is (Show your work-no work shown = ZERO POINTS) 1.8 m/s 0.2 m/s 0.6 m/s 1.4 m/s 4 kg 6 kg 4 kg 6 kg Before After A) perfectly elastic. B) partially inelastic. C) completely inelastic. D) characterized by an increase in kinetic energy E) not possible because momentum is not conserved.
When two bodies come into close touch with one another, a collision occurs. In this instance, the two bodies quickly exert forces on one another. The collision changes the energy and momentum of the bodies that are interacting.
Briefing
the system's initial kinetic energy, KEi, is equal to 0.5 * 4 * 1.8 2 plus 0.5 * 6 * 0.2 2 J.
KEi = 6.6 J
The system's ultimate kinetic energy, KEf
, following the collision is equal to 0.5 * 4 * 0.6 + 0.5 * 6 * 1.4 J.
KEf = 6.6 J
since KEi = KEf
Perfectly elastic is the collision
the appropriate response is A) completely elastic.
Visit: to learn more about absolutely elastic.
brainly.com/question/14450755
#SPJ4
