The sections 2 and 4 of the track will the sled experience an unbalanced force which is frictionless surface.
As we see from the diagram the track is a frictionless surface where the sled will move. In section 1 and 3, the sled will experience a balanced force because the gravitational force pulling the sled down is equal to the normal force of the track pushing the sled up. While in section 2 and 4, however, the sled will experience an unbalanced force because the gravitational force pulling the sled down will be greater than the normal force of the track pushing the sled up. This will cause the sled to accelerate and move faster. Hence section 2 and 4 will experience an unbalanced force.
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hydroelectric dams generate electricity by question 20 options: a. using the energy of the river to produce steam. b. using run-of-the-river systems, in which turbines are placed into the natural water flow. c. water impoundment, in which dam operators control the rate of water flow to turbines. d. using generators that are placed on the bottom of a river. e. converting the kinetic energy of the water impounded behind a dam into potential energy.
Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.
c is the correct option.
Hydroelectric dams are dams used to produce electricity. The movement of water drives turbines, which power generators that generate electricity.
The movement of water, generated by gravity, is what drives turbines. Hydroelectric dams are the most widely used renewable energy source, accounting for approximately 16% of global electricity production.
Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.
This is the process of using turbines that are powered by the movement of water that has been dammed to generate electricity.
Turbines are powered by water that has been dammed to generate electricity, which is then sent to a power station to be used.
The electricity generated from hydroelectric dams is clean and safe, making it an important part of the renewable energy mix. They are also an essential part of the global infrastructure because they provide reliable, low-cost power.
They also assist in the management of rivers, flood control, and irrigation systems in various parts of the world.
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A 12100 kg railroad car is coasting on a level, frictionless track at a speed of 19.0 m/s when a 4790 kg load is dropped onto it.
If the load is initially at rest, find the new speed of the car and the % change of the kinetic energy.
Hint 1: If the load is dropped into the car, it is like the car is "colliding� with a stationary load. If the load is stuck in the car, can they have different final velocities from one another?
The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.
The 12100 kg railroad car is initially travelling at a speed of 19.0 m/s and has a kinetic energy of KE = 0.5*12100*1902 = 5.58 x 106 Joules. The 4790 kg load is dropped onto the car from rest, so its initial kinetic energy is 0.
When the load is dropped onto the car, the two objects collide and their velocities after the collision will be equal. Therefore, the final speed of both the railroad car and the load will be v = (12100*19 + 4790*0) / (12100 + 4790) = 17.2 m/s. The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.
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a bullet is shot into a wood block. the bullet becomes embedded in the block, and they move off the ledge and land on the ground. the mass of the bullet is 2 g. the mass of the block is 98 g. the ledge height is 5 m. the block lands 10 m horizontally from the ledge. determine the initial speed of the bullet. let me see your literal equations first.
The initial speed of the bullet before being shot will be 1107 meters per second.
What are the given values?The mass of the bullet is given as 2 g. The mass of the block is given as 98 g. The height of the ledge is given as 5 m. The distance travelled by the block is given as 10 m.
We can use conservation of energy to find the initial velocity of the bullet. Conservation of energy: The work done on the block-bullet system is zero. Therefore, the initial potential energy of the block-bullet system is equal to the final kinetic energy of the block-bullet system. Potential energy of block-bullet system = Kinetic energy of block-bullet system
Initial potential energy = mgh
Final kinetic energy = (1/2)mv²
So, mgh = (1/2)mv²
where, m = total mass (mass of bullet + mass of block), h = height from where the block and bullet fall, v = final velocity
Let's calculate the total mass of the system:
m = mass of bullet + mass of block = 2 g + 98 g = 100 g = 0.1 kg
Let's substitute the values in the equation: 0.1 kg × 9.8 m/s² × 5 m = (1/2) × 0.1 kg × v²
v = 22.14 m/s
We can use conservation of momentum to confirm our result.
Conservation of momentum: Initial momentum = final momentum
0 = (m bullet × v bullet ) + (m block × v block ) (as the bullet gets embedded into the block, they both move with the same velocity)
v = (m bullet × v bullet )/(m bullet + m block )
Substituting the values:
v = (2 g × v bullet ) / (2 g + 98 g) = 0.02 v bullet / 1.00 = 0.02 v bullet
v bullet = 50 × v = 50 × 22.14 = 1107 m/s
Therefore, the initial speed of the bullet is 1107 m/s.
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Suppose two protostars form at the same time, one with a mass of 0.5 msun and the other with a mass of 15 msun . Which of the following statements are true?
[Select ALL answers that are true in alphabetical order]
A) The 10MSun protostar will have a smaller change in surface temperature during this phase than the 0.5MSun protostar.
B) The 10MSun protostar will reach the main sequence cooler and fainter than the 0.5MSun protostar.
C) The 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage.
D) The 10MSun protostar will have a smaller change in luminosity during the sequence shown than the 0.5MSun protostar.
E) The 10MSun protostar will be much more luminous than the 0.5MSun protostar.
The two protostars form at the same time, the 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage, and 10MSun will be much more luminous than the 0.5MSun protostar. Thus, options C and E are correct.
More massive stars have shorter lifetimes because they burn through their nuclear fuel more quickly.
Therefore, the 10MSun star will end its main-sequence life before the 0.5MSun star even completes its protostar stage. Thus, option C is correct.
The luminosity of a star depends on its mass.
More massive stars have higher luminosities than less massive stars. Therefore, option E is correct.
Thus, options C and E are correct.
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An object is released from rest a height h above the ground. A second object with four times the mass of the first if released from the same height the potential energy of the second object compared to the first is a. four times moors. b. twice as much. c. the same d. sixteen times more.
Answer:
A. Four times
Explanation:
Gravitational Potential Energy (PE) is given as PE=mass*gravity*height
setting the equations of potential energy equal to each other for each object you get
m1gh=m2gh
then you can cancel out the gravity and height and get
m1=m2
then we know the mass of the second object is 4 times the mass of the first object so
m2=4m1
A ________ is a descriptive research activity representing a small-scale investigation of 10 to 30 subjects that are representative of the main study's defined target population but focus on a specific subcomponent of the main study.
Multiple Choice
median
pretest
pilot test
pilot study
mode
A d.pilot study is a descriptive research activity representing a small-scale investigation of 10 to 30 subjects that are representative of the main study's defined target population but focus on a specific subcomponent of the main study.
A pilot study is a small-scale study that is usually carried out before the main study or trial to test if the intended study design, data collection method(s), measurement instruments, and data analysis techniques are feasible and sufficient. This is also done to ensure that data is collected in a way that minimizes the risk of error in the main study.
Mode, the most frequently occurring value in a data set is referred to as the mode. It is frequently utilized with categorical or nominal data. Pretest, before the test, a pretest is given to test subjects to establish a baseline for their knowledge or capability. Median, in statistics, the median is a measure of central tendency that is used to split a dataset into two equal parts. It is used with continuous or ordinal data.
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what is the relationship between the velocity of a fluid and the size of the sediment that the fluid carries?
The relationship between the velocity of a fluid and the size of the sediment that the fluid carries is directly proportional.
Higher velocity fluids are capable of carrying larger sediments while lower-velocity fluids are capable of carrying smaller sediments. This is due to the fact that higher-velocity fluids have greater kinetic energy, which allows them to overcome the gravitational forces that hold larger sediments in place.
A fluid is a substance that is able to flow and take on the shape of the container it is placed in, with the ability to deform under applied shear stress. Examples of fluids include liquids and gases. In contrast, solids maintain their shape and volume under applied stress.
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A ball rolls across the floor, slowing down with constant acceleration of magnitude . The ball has positive velocity ???? after rolling a distance x across the floor.
Calculate the ball's initial speed ????0 if ????= 4.51 m/s2, ????=11.17 m/s, and x=2.66 m.
A ball rolls across the floor, slowing down with a constant acceleration of magnitude a = 4.51 m/s2.
The ball has positive velocity v after rolling a distance x = 2.66 m across the floor.
To calculate the ball's initial speed v0 if
v = 11.17 m/s.
The initial velocity of the ball, v0 =?
The final velocity of the ball, v = 11.17 m/s
The acceleration of magnitude a = 4.51 m/s2
Distance travelled, x = 2.66 m
If an object has initial velocity v0, constant acceleration a, and travelled distance x, then its final velocity is given by:
v2 = v0² + 2ax
Here, the ball's initial velocity is v0, and its final velocity is v.
After substituting the given values, we have:
v2 = v0² + 2ax
=> (11.17)²
= v0² + 2(4.51)(2.66)
=> 124.57
= v0² + 25.39
=> v0² = 124.57 - 25.39
=> v0² = 99.18 => v0 = √99.18
=> v0 = 9.96 m/s
Hence, the initial velocity of the ball is v0 = 9.96 m/s.
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water flows through a pipe with a cross-sectional area of 0.002 m2 at a mass flow rate of 4 kg/s. the density of water is 1 000 kg/m3. determine its average velocity. multiple choice question. 0.02 m/s 2 m/s 200 m/s 20 m/s 0.2 m/s
The average velocity of water flowing through a pipe with a cross-sectional area of 0.002 m² at a mass flow rate of 4 kg/s is 2 m/s.
What is the formula for average velocity?The formula for average velocity is:
v = Q / A
Where:
v is the average velocityQ is the volume flow rateA is the cross-sectional area of the pipeThe formula for volume flow rate is:
Q = m / ρ
Where:
m is the mass flow rateρ is the density of the fluidSubstituting the values:
v = Q / Av = (m / ρ) / Av = m / (ρA)Given that the cross-sectional area of the pipe is 0.002 m², the mass flow rate is 4 kg/s, and the density of water is 1000 kg/m³, the average velocity is:
v = 4 / (1000 × 0.002)v = 2 m/sTherefore, the average velocity of water flowing through a pipe with a cross-sectional area of 0.002 m² at a mass flow rate of 4 kg/s is 2 m/s.
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when the air is in geostrophic balance, it flows _______ to isobars _________ the boundary layer.
When the air is in geostrophic balance, it flows parallel to isobars and above the boundary layer.
Geostrophic balance is a state of balance between the pressure gradient force and the Coriolis force, where the pressure gradient force is directed from higher to lower pressure, and the Coriolis force is perpendicular to the direction of motion. In this state, the wind flows parallel to the isobars, with the pressure gradient force and the Coriolis force balancing each other out.
The boundary layer is the layer of air near the Earth's surface where friction between the air and the surface slows down the wind and causes it to flow in a more complex manner, with the wind direction changing with height. However, in the geostrophic flow regime, the wind flow is typically above the boundary layer and thus not affected by surface friction.
Therefore, in geostrophic balance, the wind flows parallel to isobars and above the boundary layer, with little to no effect from the Earth's surface.
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an electromagnetic wave is transporting energy in the positive y direction. at one point and one instant the magnetic field is in the positive x direction. the electric field at that point and instant points in the
Energy is being transported in the positive y direction by an electromagnetic wave. The magnetic field is in the positive x direction at one spot and one moment. At that precise moment, the electric field is oriented in the "negative z" direction.
The given electromagnetic wave is transporting energy in the positive y direction. At one point and one instant, the magnetic field is in the positive x direction. Now we have to find the direction of the electric field at that point and instant. According to the right-hand rule, when the magnetic field is directed towards the positive x-axis, the electric field will be directed downwards along the negative z-axis. Therefore, the electric field at that point and instant points in the negative z direction.
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what is the current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds
The current in a counductor if 3.15*10^18 electrons pass a given point in the conductor in 10 seconds is 0.0504 amperes
Current calculation.
The current in a conductor is defined as the rate at which electric charge flows through it. The unit of current is amperes (A), which is defined as coulombs per second. One coulomb is equal to the charge on 6.24 × 10^18 electrons.
Given that 3.15 × 10^18 electrons pass a given point in the conductor in 10 seconds, we can find the charge that flows through the point as follows:
Number of electrons = 3.15 × 10^18
Charge on one electron = 1.6 × 10^-19 coulombs
Total charge = Number of electrons × Charge on one electron
Total charge = 3.15 × 10^18 × 1.6 × 10^-19
Total charge = 0.504 coulombs
The current is the rate of flow of charge, so we can find it by dividing the total charge by the time taken:
Current = Total charge ÷ Time taken
Current = 0.504 coulombs ÷ 10 seconds
Current = 0.0504 amperes (A)
Therefore, the current in the conductor is 0.0504 amperes, or 50.4 milliamperes (mA).
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2.1 [2] As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance a. approaches infinity b. approaches zero c. becomes zero d. approaches 1 Ω
2.2 [2] Kirchhoff's loop rule is equivalent to which of the following principles? a. conservation of charge b. conservation of energy c. conservation of mass d. conservation of force
2.1 As more resistors are added in parallel, the equivalent resistance approaches zero
2.2 Kirchhoff's loop rule is equivalent to the conservation of energy principle.
As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance approaches zero. This statement is TRUE. The equivalent resistance, Req, of a parallel combination of resistors is less than any of the resistors in the combination, while for a series combination it is equal to the sum of the resistances.
Kirchhoff's loop rule is equivalent to the conservation of energy principle. Kirchhoff's loop rule or Kirchhoff's voltage law (KVL) is a result of the conservation of energy principle. The principle of conservation of energy states that energy can neither be created nor destroyed, it can only be transformed from one form to another. In a closed loop, the total energy gained is equal to the total energy lost, according to the principle of conservation of energy.
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is the current flowing out of a resistor smaller than the current flowing into it. if not, then do resistors not actually slow down the flow of charge. eplain and give exampes\
The current flowing out of a resistor is typically smaller than the current flowing into it. Resistors do not actually slow down the flow of charge, they merely convert electrical energy into heat.
The statement that the current flowing out of a resistor is smaller than the current flowing into it is correct. This is because resistors slow down the flow of charge. The amount of current flowing through a resistor is determined by the amount of voltage across the resistor and the resistance of the resistor. When the voltage across the resistor increases, the current flowing through it also increases.
Conversely, when the resistance of the resistor increases, the current flowing through it decreases. Resistors are used to control the flow of current in electrical circuits. They are used in a variety of applications, such as in voltage dividers, filters, and voltage regulators.
For example, a voltage divider is a circuit that divides a voltage into two or more parts. A voltage divider is made up of two resistors in series, and the output voltage is taken across one of the resistors. The amount of voltage across the output resistor is determined by the values of the two resistors.
If the two resistors are equal, the output voltage will be half the input voltage. If the output resistor is smaller than the input resistor, the output voltage will be less than half the input voltage. Conversely, if the output resistor is larger than the input resistor, the output voltage will be greater than half the input voltage.
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Critically discuss why the environment in most communities continue to be dirty amidst the existence of local government structures
Explanation:
# Unmanaged population distribution
# lack of sanitation programs
# lack of awareness programs
# lack of implementation of policies and rules
# carelessness of people and government
# Unmanaged waste disposal
A bitmap image is provided in two different resolutions. Image 1 has a resolution of 1500 x 1225. Image 2 has a resolution of 500 x 350. Which of the following statements is true when the sizes of both the files are increased by 25 percent?
Image 1 is sharper than image 2 and has a larger file size than image 2.
The true statement is "Image 1st is sharper than Image 2nd and has a larger file size than Image 2nd"
What is a bitmap image?A bitmap image is a type of digital image that is made up of pixels, which are small squares of color that form an image.
Bitmap image also known as raster images.
Explain image resolution?Image resolution refers to the number of pixels contained in a digital image, typically measured as the number of pixels per inch (PPI) or dots per inch (DPI). The resolution of an image determines the level of detail and clarity that can be seen in the image.
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what are two characteristics of net forces that are balanced
Balanced net forces have equal and opposing forces that cancel each other out and provide a net force of zero, which does not alter the motion of an item.
An object's velocity remains constant and motion is unaltered when the net forces acting on it are balanced. This indicates that the thing is either stationary or moving continuously. When the forces exerted on an item are opposing in direction and of equal magnitude, they are said to be balanced forces. The forces in this situation cancel one another out, leaving a net force of zero. This can happen when one force is applied to an item and that object applies an equal and opposite force in the opposite direction to another object. It can also happen when two or more forces are applied in opposing directions and of equal magnitude. Understanding equilibrium and stability in physics requires a knowledge of the idea of balanced forces.
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a train moves from a train station at 30meter per second after 5 seconds its cover the distance of 100 m and the acceleration is ten meters per second square find the speed
The speed of a train that moves from a train station at 30 meters per second after 5 seconds and covers a distance of 100 m with an acceleration of ten meters per second square would be 80 m/s.
Speed of a trainWe can use the equation of motion to solve for the final velocity of the train:
v = u + at
where:
v = final velocityu = initial velocity = 30 m/sa = acceleration = 10 m/s^2t = time = 5 sSubstituting the values, we get:
v = 30 + 10(5)
v = 80 m/s
Therefore, the speed of the train after 5 seconds is 80 m/s.
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where are pisa and boston in relation to the moon when they have high tides?
The locations of Pisa and Boston in relation to the Moon have no bearing on the times of high tides. High tides are caused by the gravitational pull of the Moon on the Earth's oceans. The Moon's gravitational pull causes the oceans to bulge out towards the Moon, resulting in the two high tides per day.
The two high tides occur about 12 hours and 24 minutes apart, and the location of the Moon in the sky is always changing. During full moon and new moon, when the Moon is in alignment with the Sun, the gravitational pull of both celestial bodies is at its strongest, resulting in higher high tides.
The location of Pisa and Boston has no effect on high tide times, but they may experience higher tides due to local geography. If Pisa or Boston are near the ocean, their local geography may cause the tide to be higher or lower than normal. Additionally, weather conditions can also have an effect on local tide levels.
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An asteroid Swift ha 3700 n on Earth what is the masa of the asteroid?
The mass of the asteroid Swift is approximately 377.55 kg.
What is mass?Mass can be best described as the amount of matter present in any object or body.
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
To calculate the mass of the asteroid Swift, we will convert its weight from newtons to kilograms (kg), which is the unit of mass in the International System of Units (SI):
Weight = 3700 N
Acceleration due to gravity on Earth (g) = 9.8 m/s^2
Weight = Mass x Acceleration due to gravity
Mass = Weight / Acceleration due to gravity
Mass = 3700 N / 9.8 m/s^2
Mass = 377.55 kg
In conclusion, The mass of the asteroid Swift is approximately 377.55 kg.
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What is the length of the x-component of the vector shown below?
The length of the x-component of the vector is approximately 48.55 units.
What is the length of the x-component of the vector?To find the length of the x-component of the vector, we need to use trigonometry.
We can use the angle and the magnitude (length) of the vector to find the x-component using the formula:
x-component = magnitude x cos(angle)
Plugging in the values given, we get:
x-component = 52 units x cos(21⁰)
x-component = 52 units x 0.9336
Multiplying these two numbers, we get:
x-component ≈ 48.55 units
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a 421 kg block is puled up a 4.54 degree incline by a constant force f of 3282 n. the coefficient of friction mu between the block and the plane is 0.47. how fast in m/s will the block be moving 6 seconds after the pull is applied?
The block will be moving at 3.97 m/s 6 seconds after the pull is applied.
Given Mass of the block, m = 421 kg, Inclined angle, θ = 4.54°, Force applied, F = 3282 N, Coefficient of friction, μ = 0.47, Time, t = 6 s
Using Newton's second law of motion, F - μmg sin θ = ma
Where,
m = Mass of the block
g = Acceleration due to gravity
a = Acceleration of the block
Substituting the given values,
3282 - 0.47 × 421 × 9.81 × sin 4.54° = 421 × a
a = 0.6614 m/s²
Using kinematic equations of motion,
v = u + at
Where,
u = Initial velocity
v = Final velocity
a = Acceleration
t = Time
Since the initial velocity is zero, the above equation becomes
v = at
Substituting the values,
v = 0.6614 m/s² × 6 s
v = 3.97 m/s
Therefore, the block will be moving at 3.97 m/s 6 seconds after the pull is applied.
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An aircraft of mass 3.2 * 10^5 kg accelerates along a runway. calculate the change in kinetic energy in mega joules when the aircraft accelerates a) 0 to 10m/s b) From 30m/s to 40 m/s c) From 60m/s to 70m/s
Explanation:
E=(mv²)/2 ΔE = E2-E1 = (m(v2²-v1²))/2 = ?
от этогo:
а) ΔE = 16 MДж
б) ΔE = 112 МДж
c) ΔΕ = 208 МДж
A car speeds up at a constant rate pf 4 m/s?. An identical car takes a right turn with 4 m radius at constant speed of 8 m/s. Which of the following statements is correct? A. The car speeding up experiences the greater net force. B. The car speeding up experiences zero net force. C. The car that is turning experiences the greater net force. D. The car that is turning experiences no net force.
The correct answer is the car that is turning experiences no net force.
What is a net force?A net force is the sum of all forces acting on an object, taking into account their magnitude and direction. If an object is not in equilibrium, it experiences a net force, which causes it to accelerate. In physics, a net force, often known as unbalanced force, is defined as the total sum of all forces that act on an object. If the forces acting on an object are balanced, meaning they are the same size but opposite in direction, the object will maintain a constant speed with no acceleration.
In this scenario, the car speeding up experiences the greater acceleration. The car that is turning, on the other hand, experiences no net force since the force acting on the car, the centripetal force, is equal to the force required to maintain its motion.
Therefore, the answer is option D. The car that is turning experiences no net force.
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if the true stress - true plastic strain curve can be described by the hollomon equation , obtain the true strain at the onset of necking in terms of hollomon equation parameters
The true strain at the onset of necking can be obtained from the Hollomon equation as follows: true strain = (K/S)^(1/n).
Here, K is the strength coefficient, S is the stress, and n is the strain hardening exponent. Thus, given the values of these parameters, we can calculate the true strain at the onset of necking.
The Hollomon equation is a mathematical expression for the true stress-true strain curve that relates the true stress to the true strain in a material. It is expressed as follows: true stress = K(true strain)^n. Here, K is the strength coefficient and n is the strain hardening exponent.
The true strain at the onset of necking is the strain at which the material starts to deform plastically instead of elastically. This can be obtained from the Hollomon equation by rearranging it to the form true strain = (K/S)^(1/n). Thus, given the values of the parameters K, S, and n, we can calculate the true strain at the onset of necking.
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The tires of a car make 95 revolutions as the car reduces its speed uniformly 95 km/h to 55 km/h. The tires have a diameter of 0.80 m. (a) what was the angular acceleration of the tires? If the car continues to decelerate at this rate, (b) how much more time is required for it to stop, and (c) how far does it go?
(a) Angular acceleration of the tyres= 7.3 rad/s^2
(b) Time required to stop= 8.9 s
(c) Distance travelled= 492.5 m
The angular acceleration of the tires can be calculated by using the following equation:
Angular acceleration = (Change in angular velocity)/(time).
Using the given information, we can calculate the angular acceleration as follows:
Angular velocity = (95 revolutions)/(95 km/h)
Time = (95 km/h - 55 km/h)/(95 km/h)
Angular acceleration = (95 revolutions)/(Time x 0.80 m)
Angular acceleration = 7.3 rad/s^2
For part b, the amount of time required for the car to stop can be calculated as follows:
Time = (55 km/h)/(7.3 rad/s^2 x 0.80 m)
Time = 8.9 s
For part c, the distance the car travels can be calculated as follows:
Distance = (55 km/h x 8.9 s)
Distance = 492.5 m
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I need to figure out the missing boxes and work out the power, work done or time taken
To calculate the missing values in the table, we can use the formulas:
Power = Work Done / Time TakenWork Done = Power x Time TakenTime Taken = Work Done / PowerUsing these formulas, we can fill in the missing values:
Power(W) Work Done(J) Time Taken(s)
For a,. 3000 90000 30
For b,. 20 100 5
For c,. 50 100 2
For d. 700 245 0.35
For e. 25 1875 75
For f. 50000 500000 10
For g. 150 450 3
For h. 0.5 10 20
What is power?
Power is the rate at which work is done or energy is transferred. Mathematically, power is defined as the amount of work done or energy transferred per unit time. The unit of power is the watt (W), which is equal to one joule of work per second.
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To calculate the missing values in the table, we can use the formulas:
Power = Work Done / Time Taken
Work Done = Power x Time Taken
Time Taken = Work Done / Power
Using these formulas, we can fill in the missing values:
Power(W) Work Done(J) Time Taken(s)
For a,. 3000 90000 30
For b,. 20 100 5
For c,. 50 100 2
For d. 700 245 0.35
For e. 25 1875 75
For f. 50000 500000 10
For g. 150 450 3
For h. 0.5 10 20
What is power?
Power is the pace at which labour or energy is done or transferred. Power is described mathematically as the quantity of labour done or energy moved per unit time. The watt (W) is the measure of electricity, and it equals one joule of work per second.
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which of the following actions will cause the relative humidity of an air parcel to increase? select all that apply
a. Keep the parcel’s temperature constant and increase the parcel’s dew point
b. Decrease the parcels temperature and increasethe parcels dew point
c. Keep the parcel’s temperature constant and keep the parcels dew point constant
d. Increase the parcels temperature and increase the parcels dew point
e. Keep the parcels dew point constant and increase the parcels temperature
The relative humidity of an air parcel will increase if any of the following actions are taken:
Keep the parcel’s temperature constant and increase the parcel’s dew pointDecrease the temperature of the parcel and increase the parcels dew pointIncrease the temperature of the parcel and increase the parcels dew pointKeep the parcels dew point constant and increase the temperature of the parcelWhat is relative humidity?To understand this further, we can look at the formula for relative humidity, which is the amount of water vapor in the air divided by the amount of water vapor that can exist at a particular temperature. When the temperature is kept constant and the dew point increases, the amount of water vapor in the air increases, resulting in an increase in relative humidity.
The followings are the given options and the actions they will take that will cause the relative humidity of an air parcel to increase:
Option A: Keep the parcel's temperature constant and increase the parcel's dew point. This action would increase the RH of the air parcel because it will increase the quantity of water vapor in the air parcel. As the parcel's temperature is constant, the ability of the air to hold water vapor also remains constant.
Option B: Decrease the parcel's temperature and increase the parcel's dew point. This action would also increase the RH of the air parcel. As the temperature of the parcel decreases, the amount of moisture that the air can contain also decreases. When the dew point is raised, the quantity of water vapor in the air parcel rises relative to the amount it can carry.
Option C: Keep the parcel's temperature constant and keep the parcel's dew point constant. In this case, there will be no increase in RH because the quantity of water vapor in the air parcel will remain the same as the ability of the air to hold water vapor remains constant.
Option D: Increase the parcel's temperature and increase the parcel's dew point. Increasing the parcel's temperature will raise the ability of the air to hold water vapor, but it will not increase the amount of water vapor in the air parcel. As a result, the RH of the air parcel will decrease.
Option E: Keep the parcel's dew point constant and increase the parcel's temperature. This action will also decrease the RH of the air parcel as it will increase the amount of moisture that the air can hold. Thus, the relative humidity will decrease.
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A survey was conducted at local colleges around Madison, Wisconsin to find out the average height of a college student. Of 692 students surveyed, 421 replied that they were over 6 feet tall. What is the standard error? Answer choices are rounded to the hundredths place.
A survey was conducted at local colleges around Madison where 692 students were surveyed, and 421 replied that they were over 6 feet tall showing a standard error of 0.0084 in the average height of a college student.
The standard error is given by the formula given below:
[tex]$$SE= {s}/{\sqrt{n}}$$[/tex]
Where s is the standard deviation,
n is the sample size.
Now let us find out the standard deviation by using the formula given below:
[tex]$$s=\sqrt{\frac{(421-271.17)^2+(271.17-270)^2}{692-1}}$$[/tex]
After calculating we get that the standard deviation s is equal to $0.2208$.
Now let us plug the value of the standard deviation s and sample size n into the formula for standard error:
[tex]$$SE={s}/{\sqrt{n}}$$[/tex]
On substituting the respective values, we get [tex]$$SE={0.2208}/{\sqrt{692}}$$[/tex]
On solving, we get that the standard error is equal to 0.0084
Therefore, the standard error is 0.0084.
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When a person is involved in a car accident, why is the likelihood of injury greater in a head-on collision as opposed to being hit from behind? Answer using the concepts of relative velocity, momentum, and average force. (Select all that apply. )
1. The change in momentum is greater in the head-on collision.
2. The momentum of the driver relative to the ground is greater in a head-on collision.
3. The velocity of the driver relative to the ground is greater in a head-on collision. 4. The average force on the driver is greater in the head-on collision.
5. The collapse of the crumple zone in the front of the car occurs only in the head-on collision
The proper responses are: The head-on collision results in a bigger change in momentum. In a head-on collision, the driver is subjected to a greater average force.
Explanation: When an automobile collides, the external force acting on it causes a change in the vehicle's momentum. ... a The shift in momentum is greater in a head-on collision because the relative speeds of the two vehicles are higher. This increases the probability of injury because more force is being exerted to the car and its occupants. In addition, due of the shorter duration of impact in a head-on collision, the average force on the driver is higher. in a crash with the back. As a result, there is a higher average force since the force is delivered for a shorter period of time. Although this happens in both head-on and rear-end collisions, the collapse of the crumple zone in the front of the automobile also helps to absorb impact energy. The chance of injury in a collision is not primarily determined by the driver's momentum and velocity in relation to the ground, however they may have an impact on the degree of the injury.
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