According to the given statement The drag force is four times as strong, and the viscous force is double that.
Why is viscous force?It is the resistive (internal) force a fluid offers when tangential force is applied to its surface (shear). The fluid's near-surface particles stick to the surface when it flows over it. The fluid's velocity profile the about surface is thus zero.
What is the viscous force law of Newton?Newton's law of fluidity states. The relationship between the shear stress and velocity gradient is straightforward. The negative magnitude of velocity gradient within the same two neighboring fluid layers has a direct relationship with the shear stress between them.
To know more about Viscous force visit:
https://brainly.com/question/15726547
#SPJ4
ernie is trying to swim directly across a rushing river. ernie can swim at a rate of 6.2 m/s. the river's current is moving at a rate of 10.7 m/s. calculate the magnitude of ernie's resultant velocity?
The magnitude of Ernie's resultant velocity is [tex]V=8.72m/s[/tex].
Velocity:
Velocity is the direction in which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time. In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.
Given,
Ernie's swimming rate with respect to the river [tex]V_{ER} =6.2 m/s[/tex]
River's current rate [tex]V_{R}=10.7 m/s[/tex]
Hence,
The magnitude of Ernie's resultant velocity
[tex]V[/tex] = [tex]V_{R} -V_{ER}=10.7i - 6.2j[/tex]
[tex]V=\sqrt{(10.7)^{2}-(6.2)^{2} }[/tex]
[tex]V=8.72m/s[/tex]
Hence,
The magnitude of Ernie's resultant velocity is [tex]V=8.72m/s[/tex].
Learn more about Velocity here
https://brainly.com/question/25749514
#SPJ4
if the minute hand has a mass of 130 kg, what is the torque being applied by the mass of the minute hand itself?
The torque being applied by the mass of the minute hand itself is 3470.303N-m. if it has mass of 130kg.
In material science and mechanics, torque is a standard mechanical amount, what might be compared to direct force.[1] It is likewise alluded to as the snapshot of power (likewise shortened to second). It addresses the capacity of a power to deliver change in the rotational movement of the body. The idea began with the examinations by Archimedes of the use of switches, which is reflected in his well known expression: "Give me a switch and a spot to stand and I will move the Earth". The law of preservation of energy can likewise be utilized to grasp force. The image for force is ordinarily , the lowercase Greek letter tau. While being alluded to as snapshot of power, it is normally signified by M.
Torque is given by the formula=r×F
or Torque=rFsinθ
Now,we have r=6meter,F=130 ˣ 9.8=1274N,θ=27°,sin27°=0.453
So,Torque=6 ˣ 1274ˣ0.453
=>Torque=3470.303N-m.
Hence,torque applied by the mass is 3470.303N-m.
To know more about Torque, visit here:
https://brainly.com/question/29024338
#SPJ4
(Complete question) is:
if the minute hand has a mass of 130 kg, what is the torque being applied by the mass of the minute hand itself?length of minute hand is 6 meters long,and angle made by minute hand is 27 degrees.
during ice operation when the coolant expands and pressure in the closed coolant system increases, what component allows excess pressure to vent to prevent system damage?
A radiator cap's purpose is to relieve excess pressure caused by the coolant expanding as it heats up using two one-way valves.
What happens if the cooling system's pressure is raised?
The coolant expands as it warms up. The final outcome is a rise in pressure because the system's size remains constant. The coolant's boiling point does, however, rise as the pressure does, which is a benefit. At atmospheric pressure, pure water boils at 212 degrees Fahrenheit.
What regulates the cooling system's pressure?
The pressure in the cooling system rises as the temperature of the coolant does as well.
The radiator cap regulates this pressure
Learn more about Cooling System
Visit
https://brainly.com/question/13258295
#SPJ4
Where does the depenent variable go on a graph?
The dependent variable go on the Y-axis on a graph.
what is a dependent variable?The dependent variable is described as the variable that is being measured or tested in an experiment.
Dependent variable can be explained using the example where a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.
The independent variable is found on the x-axis (horizontal line) of the graph and the dependent variable is displayed on the y-axis.
The difference between independent variable and the dependent variable is that in an experiment, the independent variable is the variable that is varied or manipulated by the researcher.
Learn more about dependent variable at:
https://brainly.com/question/1670595
#SPJ1
an explosion of gas from a hawaiian volcano blows a rock into the sky. the rock has 2000j of kinetic energy. what was its mass if the rock had a velocity of 20m/s? ( ke
The mass of the rock will be 20 kg. This can be determined from the kinetic energy equation, k = 1/2 mv².
What is the straightforward meaning of kinetic energy?Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Kinetic energy may be transmitted from one thing to another, for example during collisions, and is determined by the mass of an item and its movement or speed.
How to solve the question?Given in the question,
Kinetic Energy of rock = 2000J
Velocity of rock = 20 m/s
also, k.e. = 1/2 mv²
2000 = 1/2 m × 20²
m = 20 kg
The mass of rock that blew in the sky was 20 kg.
To know more about Kinetic Energy visit
brainly.com/question/999862
#SPJ4
how does newton's third law explain how a rocket is launched upward
Answer:
Newton's Third Law states that "every action has an equal and opposite reaction". In a rocket, burning fuel creates a push on the front of the rocket pushing it forward. This creates an equal and opposite push on the exhaust gas backwards.
Maher is trying to find the density of a plastic toy. The toy’s mass is 160 g.
Maher placed the toy in a graduated cylinder that has 70 ml of water, the water level increased
till 150 ml.
a) Find the toy’s volume.
The volume of the toy is 80 ml.
To find the volume of the plastic toy, Maher can use the principle of buoyancy. When an object is placed in a fluid, it will displace an amount of fluid equal to its own volume. The volume of the displaced fluid can be measured and used to calculate the volume of the object.
In this case, Maher has placed the toy in a graduated cylinder filled with water, and he has observed that the water level increased from 70 ml to 150 ml. This means that the toy displaced 150 - 70 = 80 ml of water.
The volume of the toy is equal to the volume of the displaced water, so the toy's volume is 80 ml. This is the volume of the toy when it is completely submerged in water.
It's important to note that the volume of an object can change depending on its temperature, pressure, and other factors. To get an accurate measurement of the volume of the toy, Maher should make sure to measure the volume of the displaced water carefully and under controlled conditions.
Answer:
Volume of the toy: [tex]80\; {\rm mL}[/tex].
Average density of the toy: [tex]2\; {\rm g\cdot mL^{-1}}[/tex] (or equivalently, [tex]2\; {\rm g \cdot cm^{-3}}[/tex].)
Explanation:
The graduated cylinder initially measures the volume of water in this cylinder:
[tex]V(\text{water}) = 70\; {\rm mL}[/tex].
Assume that the toy is submerged in the water. The graduated cylinder would then measure the volume of the water and the toy, combined:
[tex]V(\text{water}) + V(\text{toy}) = 150\; {\rm mL}[/tex].
Rearrange to find the volume of the toy:
[tex]\begin{aligned}V(\text{toy}) &= 150\; {\rm mL} - V(\text{water}) \\ &= 150\; {\rm mL} - 70\; {\rm mL} \\ &= 80\; {\rm mL}\end{aligned}[/tex].
To find the average density of this toy, divide mass by volume:
[tex]\begin{aligned}(\text{average density}) &= \frac{(\text{mass})}{(\text{volume})} \\ &= \frac{160\; {\rm g}}{80\; {\rm mL}} \\ &= 2\; {\rm g\cdot mL^{-1}}\end{aligned}[/tex].
b) how far will the cart move in the 4.5 s if the shopper places a(n) 84 n child in the cart before pushing it? answer in units of m.
The cart of the supermarket will move 3.99 m if the shopper places an 84 N child in cart and is pushing.
Given that,
Mass of the cart = 25.1 kg
Horizontal force = 13.3 N
It is pushed for 3.6 sec
Mass of the cart and child = Total force/ Acceleration = (25.1* 9.8 + 84)/9.8 = 33.67 kg
From the equations of motion, we know,
Initial velocity = 0
Time t = 4.5 s
Distance s = ut + 1/2* a* t² = 0 + 1/2* (13.3/33.67)* (4.5)² = 3.99 m
Thus, the cart will move for 3.99 m after placing the child.
The question is incomplete. The complete question is 'A shopper in a supermarket pushes a loaded cart with a horizontal force of 13.3 Newtons. The cart has a mass of 25.1 kg and is pushed for 3.60 seconds, starting from rest.'
To know more about cart:
https://brainly.com/question/157327
#SPJ4
when the ice shuts off and the engine coolant temperature is reduced, what component compensates for the drop in pressure inside the closed coolant system?
Thhe compensates for the drop in pressure inside the closed coolant system radiator cap.
What is coolant system?Internal combustion engines cooling used either air or liquid to removed from the wasted heat from an internals combustion engines. For smaller or special purposes engines, cooling using the air from atmosphere makes for a light-weight and relatively simplest system.
The radiators cap is also called a pressures cap, because of its job is to maintaining pressures in the cooling systems. High pressures raised the boiling the point of the coolant, so it cools moreover effectively even in very demanding to the conditions.
coolant Temperature increases, so it does the pressures in the cooling systems. This pressures is regulated by the radiators cap.
To know more about coolant system click-
https://brainly.com/question/23389345
#SPJ4
a dad pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 15 rpm in 10.0 s. assume the merry-go-round is a uniform disk of radius 2.5 m and has a mass of 330 kg, and two children (each with a mass of 25 kg) sit opposite each other on the edge. calculate the torque required to produce the acceleration, neglecting frictional torque. what force is required at the edge?
Refer to the photo taken.
a 1,402-kg car rounds an unbanked curve with a radius of 53 m at a speed of 9.9 m/s. what minimum coefficient of friction must exist between the road and tires to prevent the car from slipping?
To keep the car from slipping, the road and tires need to have a minimum coefficient of friction of 0.188.
The things creating friction will determine the coefficient of friction. The value is often between 0 and 1, but it can also be higher. A number of 0 indicates that there is absolutely no friction between the items; superfluidity makes this feasible. Yes. Because the adhesive forces between molecules are stronger when the contact surface is substantially polished, frictional force increases. In this situation, the friction coefficient will be higher than one.
Here m= 1402 kg
r=53
v= 9.9 m/s
g=9.8
coefficient = (v^2) / rg
coefficient = (9.9^2) / (53*9.8)
coefficient = 98.01/519.4
coefficient = 0.188
Learn more about friction Visit : brainly.com/question/24338873
#SPJ4
solar eclipses are slightly more common than lunar eclipses. why, then, is it more likely that your region of the country will experience a lunar eclipse than a total solar eclipse? umbra
It has been estimated that solar eclipses occur around three times more frequently than lunar eclipses. However, that statistic fully disregards penumbral lunar eclipses.
The total number of solar and lunar eclipses is about equal when penumbral lunar eclipses are taken into account.Eclipses of the sun and moon happen about equally frequently. Because Earth's shadow on the Moon is far greater than the Moon's shadow on Earth during a solar eclipse, lunar eclipses happen more frequently. The probability of seeing a lunar eclipse is therefore higher than the probability of seeing a solar eclipse.When the Moon passes through the shadow of the Earth, a lunar eclipse can be seen from wherever on Earth that the Moon is above the horizon, which covers more than half of the planet. The Moon's shadow, however, is far smaller than Earth's when it seems to move in front of the Sun during a solar eclipse. When projected onto the surface of the Earth, it is only approximately 480 km (300 miles) wide.As a result, only a small portion of the Earth can observe solar eclipses, making it challenging to travel to a spot where one may be seen. They are therefore less frequently visible from any given position.
To know more about solar eclipses
https://brainly.com/question/315751
#SPJ4
a 2-kilogram object traveling 10 meters per second north has a perfect elastic collision with a 5-kilogram object traveling 4 meters per second south. what is the total momentum after collision?
The total momentum of the obejects after collision is 0 kgm/s.
What is momentum?Momentum is the product of mass and velocity
To calculate the total momentum of the objects after collision, we use the formula below.
Formula:
M = mv+m'v'................ Equation 1Where:
M = Total momentum of the objects after collisionm = Mass of the first objectm' = Mass of the second objectv = Initial velocity of the first objectv' = Initial velocity of the second objectAssuming north is positive,
From the question,
Given:
m = 2 kgm' = 5 kgv = 10 m/s northv' = -4 m/s southSubstitute these values into equation 1
M = (2×10)+(-4×5)M = 20-20M = 0 kgm/sHence, the total momentum is 0 kgm/s.
Learn more about momentum here: https://brainly.com/question/7538238
#SPJ1
a 65 kg person dives into the water from the 10 m platform. a. what is her speed as she enters the water?
The speed of the person as she enters the water is 14.2 m/s.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy that an object has due to its motion. This energy can be transferred from one object to another or converted into other forms of energy. Kinetic energy is dependent on an object's mass and its velocity. The greater an object's mass or velocity, the more kinetic energy it has. Kinetic energy can be used to do work, such as powering a machine or vehicle. It can also be used to generate electricity or to heat up objects.
The speed of the person as she enters the water can be calculated using the equation for kinetic energy:
KE = ½mv²
Where m is the mass of the person (65 kg) and v is the speed.
Solving for v, we get:
v = √(2KE/m)
Since the potential energy of the person just before she enters the water is equal to the kinetic energy of the person just after she enters the water, we can calculate the kinetic energy as:
PE = mgh
KE = mgh
Where m is the mass of the person (65 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height of the platform (10 m).
Plugging this into the equation for v, we get:
v = √(2mgh/m)
v = √(2gh)
v = √(2*9.8*10)
v = 14.2 m/s
To learn more about kinetic energy
https://brainly.com/question/114210
#SPJ4
a pendulum is pulled to a height of 1.28 m above the lowest position and released. what is its speed at the level of the lowest position?
The speed at the level of the lowest position is 5.01m/s.
How do you conserve energy?Energy cannot be created or destroyed; it can only be changed from one form of energy to another, according to the law of conservation of energy. This implies that a system always has the same amount of energy, barring external energy addition.
To reduce expenses and protect the resources for future use, energy conservation is necessary. The environment is contaminated by the harmful gases released into the atmosphere by conventional energy sources. Traditional energy sources are finite and could run out one day.
This is a typical energy conservation question, Set the kinetic energy at the bottom and the potential energy at the height to be equal.
mgh = 1/2mv²
gh = v²/2
v = √2gh
v = √2×9.8×1.28m/s
v = 5.01m/s.
To know more about speed visit:
https://brainly.com/question/28224010
#SPJ4
- Determine the tension in each cable in the diagram to the right.
Tension of the three cables connecting the celling, 7 kg ball, 4 kg ball, 5 kg ball respectively 156.8 N, 88.2 N and 49 N.
What is tension?The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.
Tension of the cable connecting the celling and 7 kg ball:
= (7 kg + 4 kg + 5Kg) × 9.8 m/s²
= 156.8 N.
Tension of the cable connecting the 7kg ball and 4 kg ball:
= (4 kg + 5Kg) × 9.8 m/s²
= 88.2 N.
Tension of the cable connecting the 4kg ball and 5 kg ball:
= 5Kg× 9.8 m/s²
= 49 N.
Learn more about tension here:
https://brainly.com/question/29124835
#SPJ1
F. What force is necessary for a person to hold a 50 kg mass over their head?
Answer: 490.5 N
Explanation:
In this case, the only two forces acting on the mass are the person's strength (i.e. the force in question) and the weight of the mass.
The sum of the forces is equal to 0. This means that Force (person) = Force (weight).
Fp = Fw = m * gravity
Fp = 50 kg * 9.81 m/s^2
Fp = 490.5 (kg*m/s^2)
Fp = 490.5 N
the force between between two objects increases by what factor if the distance between them is changed 4.5 times the original separation?
The new gravitational force between the object will be 1/20.25 times of the original force.
The gravitational force between any two object is defined as the product of the masses of the object and it is inversely proportional to the square of the distance between them which is given by,
F = GMm/R²
Here,
G is the universal gravitational constant, M and m are the mass of the body and R is the distance between them.
As per the given question the distance between the object is increased 4.5 times the original separation.
R' = 4.5R.
The new force of attraction between the object will be,
F' = GMm/(R')²
F' = GMm/(4.5R)²
F' = GMm/20.25R²
F' = F/20.25
So, the new force of attraction between the two objects will become 1/20.25 times of original force.
To know more about gravitational force , visit,
https://brainly.com/question/24783651
#SPJ4
(b) what mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?
Mass of the lead that should be placed so that the top of the cube will be just level with the water surface will be 2.8 kg.
What does buoyancy mean?The term "buoyancy" refers to the upward push a liquid applies to an item submerged in it. An upward force is imposed on an object when you try to submerge it in water, and this force grows as the object is pushed deeper.
How to solve the complete question?Let's assume that the system is in equilibrium,
now, F = force due to gravity
B = buoyant force
L = length of cube
d = density
M = mass of lead
F = B - Mwood×g - M×g
at equilibrium, F=0
B = dwater×L³×g
L³= volume of water displaced
0 = dwater×L³×g - Mwood×g - M×g
d = Mass/ Volume
dwater×L³ - dwood×L³ - M = 0
M = (dwater - dwood) L³
M = (1 - 0.65) (20)³
M = 2.8 kg
Thus, the mass of lead that should be placed on the cube so that the top of the cube will be just level with the water surface will be 2.8 kg.
To know more about buoyancy visit
brainly.com/question/29536950
#SPJ4
The complete question is,
A cube of wood an edge dimension of 20.0 cm and a density of 650kg/m³ floats on water. What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface?
on average, how much time separates the rise of one civilization in the galaxy from the rise of the next?
Between climbs, 100,000,000,000/1,000,000 equals 100,000 years. Our civilization is quite young compared to most or all of the others because it just emerged a few thousand years ago.
How much time separates the rise of one civilization in the galaxy from the rise of the next?Turn-based strategy video games like Civilization have been around since 1991. Sid Meier created the first game in the series and contributed creatively to the majority of the others; as a result, the formal titles of these games, such Sid Meier's Civilization VI, typically include his name.
An sophisticated condition of human society with highly developed institutions of government, culture, industry, and shared social conventions is known as a civilization.
Between climbs, 100,000,000,000/1,000,000 equals 100,000 years. Our civilization is quite young compared to most or all of the others because it just emerged a few thousand years ago. Given these plausible hypotheses, it is likely that there are no other civilizations that are younger than 50,000 years old.
The complete question is :Time Between Civilizations. Suppose that there are 100 billion stars in the Milky Way Galaxy, that 1 in 1 million stars gets a civilization at some point, and that these civilizations have arisen at random times over the past 5 billion years. On average, how much time separates the rise of one civilization in the galaxy from the rise of the next? Based on your answer, should we expect to make radio contact with another civilization that is either at or below our own current level of technological development?
To learn more about civilization refer to :
https://brainly.com/question/13403112
#SPJ4
9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
During a game of bowling the ball's motion:
The ball is accelerated while it is pushed by the student's hand due to an unbalanced force.The ball slows down as it rolls because friction exerts an unbalanced force.The ball does not change its motion while it is held in the student's hand due to balanced forces.The correct options are A,B and E.
Description of a bowling ball's motionBowling ball motion is commonly divided into sequential skid, hook, and roll phases. When the ball moves down the lane in the skid and hook phases, frictional contact with the lane causes the ball's forward (translational) speed to continually decrease, but to continually increase its revolution rate (rotational speed).
Learn more about bowling on
https://brainly.com/question/14775747
#SPJ1
design a base isolation system for an electronic module of mass 5 kg so that only 10% of the displacement of the base is transmitted into the displacement of the module at 50 hz. what will the transmissibility be if the frequency of the base motion changes to 100 hz?
The base isolation system for the electronic module of mass 5 kg should be designed with a vibration isolator that has a spring constant of k = 0.1 N/m and a damping coefficient b = 0.2 Ns/m. This will result in a transmissibility of 0.1 at 50 Hz.
If the frequency of the base motion changes to 100 Hz, the transmissibility will increase to 0.2.
Base isolation systems are designed to reduce the amount of vibration transmitted through the base of an electronic module. In this case, a base isolation system for a module of mass 5 kg would be designed such that only 10% of the displacement of the base is transmitted into the displacement of the module at 50 Hz.
This would be achieved by using a vibration isolator and a vibration dampener. The vibration isolator would be placed between the base and the module, while the vibration dampener would be used to absorb the kinetic energy of the vibration.
The transmissibility of the base motion would be lower at 100 Hz, meaning that even less of the displacement of the base would be transmitted into the displacement of the module.
Learn more about Frequency here:
https://brainly.com/question/254161
#SPJ4
PLEASE DO THIS FOR ME Use the words in the table to fill in the blanks. the answers underlined and bolded are already answered.
Note that the sentences with the blank spaces are completed as follows;
A "formula" tells what elements make up a compound and the ratios of the atoms of those elements.A compound that is composed of only two elements is a "binary compound".An atom with a negative charge is an "anion".A metal and non-metal tend to form an "ionic" bond.A "bond" is formed when atoms gain, lose, or share electrons.Two non-metal atoms tend to form a "covalent" bond. A "bond" is formed when atoms gain, lose, or share electrons.An "ionic" ion forms when a compound contains both an ionic bond and a covalent bond."Periods" on the periodic table are the rows of elements, and have the same number of valence electrons."Groups" or "families" on the periodic table are the columns of elements and have similar properties.The electrons in the outermost shell of an atom are known as the "valence" electrons and are responsible for the element's chemical activity.What is a periodic table?The periodic table, commonly known as the periodic table of elements, is an arrangement of chemical elements in rows and columns. It is frequently utilized in chemistry, physics, and other disciplines, and is widely regarded as a chemical icon. Because of the arrangement of the elements, it is known as the periodic table.
The periodic table is important because it is arranged to give a wealth of information on elements and their relationships to one another in a single reference.
The table may be used to forecast the characteristics of all elements, even those yet to be found.
Learn more about Periodic Table;
https://brainly.com/question/11155928
#SPJ1
a force of 40 n is needed to keep a 10-kg steel box sliding across a level floor with a constant velocity of 8 m/s. what is the net force on the box?
The net force on the box is 40N.
A net force is what?The net force acting on an object is the result of all pushing and pulling forces acting on the object collectively (the sum). If there is an imbalance in the pushing and pulling forces acting on an object, the object will accelerate in the direction of the net force.
According to Newton's second law, an object's acceleration is inversely proportional to its mass and proportional to both the resultant force and the resultant force.
Force = m × a
40 = 10 × a
a = 40/10
a = 4m/s²
Net force ∑F = m×a
∑F = 10 × 4
∑F = 40N.
To know more about net force visit:
https://brainly.com/question/18560885
#SPJ4
which deductible level would result in the lowest premium for automobile insurance?
The deductible level that would result in the lowest premium for automobile insurance is from $250 or $500
Is a greater or lower deductible preferable?For those who anticipate needing expensive medical care or continuous medical treatment, a plan without a deductible typically offers good coverage and is a wise decision.
In most circumstances, a plan's premium will be lower the larger its deductible. You save money on what you pay each month when you're willing to pay more up front when you need care.
The typical range for a comprehensive deductible suggested by insurance agents is between $100 and $500. It makes sense to have a smaller deductible for comprehensive claims because they often involve less damage than collision claims.
High-deductible health plans typically have cheaper premiums but need greater upfront payments before insurance will cover medical expenses. Meanwhile, higher premiums are typically associated with health insurance plans with lower deductibles since they provide more predictable expenses and frequently more robust coverage.
Learn more about automobile insurance from
https://brainly.com/question/28397058
#SPJ1
a mass m at the end of a spring oscillates with a frequency of 0.83 hz. when an additional 780-g mass is added to m, the frequency is 0.60 hz. what is the value of m?
Given the following data:
Initial frequency = 0.83 Hz.
Additional mass = 780 grams to kg = 0.78 kg
New frequency = 0.60 Hz
To determine the value of the initial mass, m, we would apply the following formula:
;f=1/2л⟌k/m
Where:
F is the frequency.
m is the mass
k is the spring constant.
For mass (m):
0.83=1/2л⟌k/m ...equation 1.
For additional mass:
0.60=1/2⟌k/m+0.78 ...equation 2.
Next, we would divide eqn. 1 by eqn. 2:
;0.83/0.60=1/2л⟌((k/m)/1)/2л⟌m+0.78
1.3833=⟌k/m/⟌k/m+0.78
Taking the square of both sides, we have:
1.9135=k/m/k/m+0.78
1.9135=k/m×m+0.78/k
1.9135=m+0.78/m
1.9135m-m=0.78
0.9135m=0.78
m=0.78/0.9135
m=0.8538kg
the value of mass is 0.8538.
to know more about mass visit.
https://brainly.com/question/15686038
#SPJ4
A boy spins a ball on a string over his head with a rotational velocity of 6.3 m/s. The
length of the string is 0.50 m and the mass of the ball is 0.008 kg.
What is the centripetal Force (Fc) of the ball?
The centripetal force (Fc) of the ball is 0.64N.
How to calculate centripetal force?Centripetal force is the force on a rotating or orbiting body in the direction of the centre of rotation.
Centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.
Centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) as follows:
Fc = mv²/r
Where;
m = massv = velocityr = radiusAccording to this question, a boy spins a ball on a string over his head with a rotational velocity of 6.3m/s. The length of the string is 0.50 m and the mass of the ball is 0.008 kg. The centripetal force is as follows:
Fc = 0.008 × 6.3²/0.5
Fc = 0.31752 ÷ 0.5
Fc = 0.64N
Therefore, 0.64N is the centripetal force of the ball.
Learn more about centripetal force at: https://brainly.com/question/11324711
#SPJ1
Uing two billiard ball and 3 to 4 entence decided experiment to demontrate the law of conervation of momentum. (4 point)
So let's talk about billiard balls and the law of conservation of momentum. For the purposes of this simplified discussion, momentum is always conserved for collisions between balls.
What is momentum?Momentum is a commonly used term in sports. A team that has the momentum is on the move and is going to take some effort to stop. A team that has a lot of momentum is really on the move and is going to be hard to stop. Momentum is a physics term; it refers to the quantity of motion that an object has. A sports team that is on the move has the momentum. If an object is in motion (on the move) then it has momentum.Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.To learn more about velocity refer to:
https://brainly.com/question/25749514
#SPJ4
kinetic energy, what is its velocity, as a fraction of the speed of light? you will have to assume the electron is moving relativistically.
A calculation gives the result that the electron is moving at about 2,200 kilometers per second. That's less than 1% of the speed of light,
So, it is 99%of speed of light = 300000×99÷100
= 297000 km/s
The speed of light which we know is 300,000 kilometers per second is the last speed limit to get. By adding energy to the electron, it becomes faster, but we see that as we get closer to the speed of light, we need to add even more energy just to bump it a bit faster.
To reach to 99.9% (just another 9.9 percentage points), we spend a total of over 11 million eV! So it's harder to push it faster.
To know more about speed of electrons here
brainly.com/question/13130380
#SPJ4
a constriction in a pipe reduces its diameter from 4.0 cm to 2.0 cm. where the pipe is narrow the water speed is 8.0 m/s. where it is wide the water speed is:
The velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.
How to find velocity ?To find the velocity of the water where the pipe is narrow, you can use the formula for the mass flow rate, which is given by:
Mass flow rate = Density * Flow rate
= Density * (Area * Velocity)
Where:
Density is the density of the fluid
Flow rate is the volume flow rate, or the rate at which volume flows through the pipe
Area is the cross-sectional area of the pipe
Velocity is the velocity of the fluid
The mass flow rate is constant, so you can set the mass flow rate on either side of the constriction equal to each other and solve for the velocity on the other side.
The cross-sectional area of the pipe on the narrow side is given by the formula for the area of a circle:
A = pi * r^2
Where:
A is the cross-sectional area of the pipe
r is the radius of the pipe
The radius of the pipe on the narrow side is 3 cm / 2 = 1.5 cm. Plugging this value into the formula for the cross-sectional area, you get:
A = pi * (1.5 cm)^2
= 7.07 cm^2
The cross-sectional area of the pipe on the wide side is given by the same formula, with a radius of 6 cm / 2 = 3 cm:
A = pi * (3 cm)^2
= 28.27 cm^2
Since the mass flow rate is constant, you can set the mass flow rates on either side of the constriction equal to each other and solve for the velocity on the other side:
(Density * 7.07 cm^2 * v) = (Density * 28.27 cm^2 * 8 m/s)
Solving for v, the velocity on the narrow side, you get:
v = (Density * 28.27 cm^2 * 8 m/s) / (Density * 7.07 cm^2)
= 11.6 m/s
The final value for the velocity on the narrow side is 11.6 m/s. This is the velocity of the water in the narrow part of the pipe.
To learn more about mass flow rate refer :
https://brainly.com/question/13289839
#SPJ4
