A very small 51-g steel ball is released from rest and falls vertically onto a steel plate. The ball strikes the plate and is in contact with it for 0. 50 ms. The ball rebounds elastically and returns to its original height. The total time interval for a round trip is 3. 00 s. What is the magnitude of the average force exerted on the ball by the plate during contact with the plate?.

Answers

Answer 1

The magnitude of the average force exerted on the ball by the plate during contact with the plate is 5.01 × 10² N (approx).

Mass of the steel ball, m = 51 g = 0.051 kg

Time of contact, t = 0.50 ms = 0.50 × 10⁻³ s

Time for a round trip, T = 3.00 s

We know that the ball rebounds elastically and returns to its original height. Therefore, the time taken by the ball to reach its original height = time taken by the ball to fall = t1

Let v be the velocity of the ball just before it strikes the plate.

The initial velocity of the ball is zero.

v = 0, u = 0, a = g = 9.81 m/s²

Using the equation of motion ,s = ut + 1/2 at²= 0 + 1/2 × 9.81 × (t1)²= 4.905t1² …….(1)

Total time interval for a round trip, T = t1 + t + t1= 2t1 + 0.5

Time taken by the ball to fall from the height h = t1

We have, h = 1/2 g t1²

From equation (1),t1 = √[2h/g]

Putting this value in the equation of T,T = √[2h/g] + 0.5

Using the given values of T and g, we get,√[2h/9.81] + 0.5 = 3

h = (9.81/8) × (3 - 0.5)²= 0.05169 m

During the contact of the ball with the plate, the change in momentum of the ball is given by

Δp = mv - mu, Where, final velocity of the ball, v = -u, since the ball rebounds elastically.

Δp = m(v - u)= -2mu

The average force exerted by the plate on the ball is given by F = Δp / t= -2mu / t= -2 × 0.051 × 9.81 / 0.5 × 10⁻³= - 5.01 × 10² N.

Therefore, the magnitude of the average force exerted on the ball by the plate during contact with the plate is 5.01 × 10² N (approx).

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Related Questions

An apple is released from rest 500 m above the ground. Due to the combined forces of air resistance and gravity, it has a speed of 40 m s when it reaches the ground. What percentage of the initial mechanical energy of the apple-earth system was dissipated due to air resistance? take the potential energy of the apple-earth system to be zero when the apple reaches the ground.

Answers

The percentage of the initial mechanical energy of the apple-earth system that was dissipated is : 84%

Determine the percentage of the initial mechanical energy dissipated

Given that

Potential energy = mgh = 0

                           = m* 9.81 * 500 = 0

                           = 4905 m J

Kinetic energy ( K ) = 1/2 mv²

                                 = 1/2 * m * 40²

                                 = 800 m

Next step : calculate the dissipated energy

dissipated energy = Potential energy - kinetic energy

                              = 4905 m - 800 m

                              = 4105 m

Final step : determine the percentage of the dissipated energy

= dissipated energy / potential energy

= 4105 m / 4905 m

= 84%

Hence we can conclude that The percentage of the initial mechanical energy of the apple-earth system that was dissipated is : 84%

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one force acting on a machine part is f⃗ =(−5.00n)i^ (4.00n)j^. the vector from the origin to the point where the force is applied is r⃗ =(−0.450m)i^ (0.150m)j^.

Answers

To find the torque, we can use the formula:

τ = r x F

Torque is a physical quantity that describes the ability of a force to rotate an object around an axis or pivot point. It is defined as the product of the force and the lever arm distance from the axis to the point of force application.

where r is the position vector from the origin to the point of application of the force, F is the force vector, and x represents the cross product.

First, we need to calculate the cross product of r and F:

r x F = det([[i, j, k], [-0.450, 0.150, 0], [-5.00, 4.00, 0]])

= (0)(0) - (-0.450)(0) + (-5.00)(0.150)i - (-4.00)(-0.450)j + (0)(4.00)k

= 1.80i + 1.80j

Therefore, the torque is τ = 1.80i + 1.80j N*m.

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Indicate the direction of the magnetic force. A positive charge travels to the right of the page through a magnetic field that points into the page. Which way does the magnetic force point?

A. Up along the page
B. Down along the page
C. Left
D. Right

PLS HELP ㅠㅠ

Answers

Explanation:

A. Up along the page

Using the law of the right hand

difference between basic units and derived unit​

Answers

Answer:

Basic units=those units of measurement which do not depend upon any other units are called basic units. Example length, mass, time, current etc.

Derived units=those units which are expressed in terms of fundamental units are called derived units. Example area, volume, density etc.

Which best describes the motion of the object between 1 and 4 seconds?

Answers

Answer:The object has negative acceleration and eventually stops.

Explanation:

Answer:not sure

Explanation:

Sorry:(

Identify the following major moons of Jupiter.
A. Europa
B. Ganymede
C. Io
D. Callisto

Answers

These are the four largest moons of Jupiter and are collectively known as the Galilean moons. They were discovered by Galileo Galilei in 1610 and are named after characters from Greek mythology. Europa, Ganymede, Io, and Callisto are all fascinating celestial bodies with unique features and scientific significance

Europa is known for its subsurface ocean that may harbour conditions suitable for life, Ganymede is the largest moon in the solar system, Io is the most volcanically active object in the solar system, and Callisto is heavily cratered and geologically diverse. These moons have been studied extensively by spacecraft missions such as NASA's Galileo and Juno missions, providing valuable insights into the nature of Jupiter's moons and their geological processes. The major moons of Jupiter are Europa, Ganymede, Io, and Callisto. The major moons of Jupiter are Europa, Ganymede, Io and Callisto.

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a solid sphere of silver, which is a good conductor, has a spherical cavity at its center. there is a point charge at the center of the cavity. the silver sphere has a charge of 9.00 nc on its outer surface and a charge of -2.00 nc on the surface of the cavity. what is the value of the point charge?

Answers

The value of the point charge is zero.

What do you mean by charge?

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force. There are two sorts of electric charges: positive and negative. The electric field outside the sphere is the same as the field from a point charge with a net charge of Q, according to Gauss' law, whereas the electric field inside the sphere is zero. For a solid or hollow sphere, this conclusion holds valid.

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The figure shows a box on a horizontal, frictionless
floor before and after an impulse was applied to it.
V₁= 2 m/s
Before impulse
2 kg ->
B.
A. 3 kg • m/s
c.
D.
What was the magnitude of the impulse?
6 kg • m/s
2 kg
10 kg • m/s

18 kg • m/s
After impulse
v₁ = 5 m/s

Answers

If a force has a constant magnitude, we can calculate the size of the impulse by dividing the force's strength by the length of time it is applied.

What is the formula for magnitude of impulse?p is equal to F net t. F net t F net. The impulse-momentum theorem refers to the relationship between t and this equation. The equation shows that the impulse is equal to the average net external force times the length of time that force is in effect. The change in momentum is equivalent.The change in momentum of the object is equal to the impulse it experiences. F • t = m • v is an equation. When two objects collide, they both experience an impulse, which both causes and is equal to the change in momentum.Since impulse is a vector, a negative impulse indicates that the net force is acting in the opposite direction. A positive impulse indicates that the net force is moving in the same direction.

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Can anyone help out with this question?
I'll mark as brainliest
Thankyou. ​

Can anyone help out with this question? I'll mark as brainliest Thankyou.

Answers

Answer:

p=I×B

Explanation:

If a current 'I' flows through a given element in your circuit, losing voltage 'V' in the process, then the power 'P' dissipated by that circuit element is the product of that current and voltage.

Which option is an example of chemical energy being transformed into electrical energy?
O A. A battery powering a flashlight
OB. A plant storing energy from the Sun in its leaves
OC. A rocket engine igniting its fuel during liftoff
O D. Lightning striking a tree​

Answers

a battery powering a flashlight is the correct answer

Answer:

A. A battery powering a flashlight

Im so nervous about something and I need advice!!! PPPLLLLZZZZ DO NOT REPORT!! WILL MARK BRAINLIEST!!!

Answers

Answer: depends on what your nervous about

Explanation:tell me what your nervous about

To determine the speed of a wave, what two measurements do you need to know?

Answers

Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave speed when wavelength and frequency are known.

Somewhere you place a 7.5 kg pumpkin on a spring scale. If the scaled reads 12.5 N , what is the acceleration due to gravity at that location?

Answers

Answer:

1.667 m/s ^2

Explanation:

we use the formula F=ma

F= 12.5 N

m= 7.5 kg

a=?

F=ma

12.5= 7.5 x a

a= 12.5/7.5

a= 1.667 m/s^2

he length of a moving spaceship is 30.0 m according to an astronaut on the spaceship. if the spaceship is contracted by 13.8 cm according to an earth observer, what is the speed of the spaceship? c

Answers

The speed of the spaceship is 0.099c.

What is speed?

Speed is the fastest movement of something.

Given:

L = 30 m is the proper length of the ship

• Delta*L = 13.8cm = 0.13m is the change in length

Let us first determine our contracted length. We can do this by subtraction:

L = 30m - 0.13m

We get:

L = 29.87

Now to determine the speed of the ship, we use the length contraction equation:

L = L_{0} * √(1 - (v ^ 2)/(c ^ 2))

We isolate the square root term:

√(1 - (v ^ 2)/(c ^ 2)) = L/L_{0} To simplify calculations, let us first substitute our lengths:

√(1 - (v ^ 2)/(c ^ 2)) = (29.87/(30) =

= 0.995

After calculation

V/C = 0.099874

Or V= 0.099c

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?

Answers

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure

In the first activity, Vehicle 2 has a greater acceleration than Vehicle 1, but has a less forceful engine. How can this be? Explain in terms of your equation.

Answers

Answer:

This can be explained by the equation Force=Mass x Acceleration. Vehicle 2 has a higher acceleration than Vehicle 1, which means it accelerates quicker. However, this increased acceleration is achieved by a less forceful engine. This is possible because Vehicle 2 has a lower mass than Vehicle 1, meaning the same force applied to Vehicle 2 results in greater acceleration. Therefore, Vehicle 2 has a greater acceleration than Vehicle 1 but has a less forceful engine.

Which of the following orders represents the ordering found in an alphanumeric outline?
A. capital letters, Arabic numerals, Roman numerals, lowercase letters
B. Arabic numerals, capital letters, Roman numerals, lowercase letters
C. Roman numerals, lowercase letters, Arabic numerals, capital letters
D. Roman numerals, capital letters, Arabic numerals, lowercase letters​

Answers

Answer: D

Explanation: It says that in the paragraph

Answer:

Roman numerals, capital letters, Arabic numerals, lowercase letters

Explanation:

A computer simulation of sea-floor spreading predicts that 2.35 cm of new material is added to the width of an island each year. How many years will it take for the island to increase in width by 2.35 km?

Answers

One may calculate the spreading rate on one side of a mid-ocean ridge by dividing the distance by the time (Distance/Time = Rate). This is known as a half-spreading rate. Multiply it by two to get the spreading rate in its entirety on both sides of the ridge.

In CM years, how rapidly is the seafloor enlarging?

It spreads 2 to 5 cm (8 to 2 inches) every year and forms an ocean trench about the size of the Grand Canyon. The East Pacific Rise, on the other hand, is a core that is quickly expanding. It spreads by around 6 to 16 cm per year (3-6 inches).

Seafloor spread occurs at mid-ocean ridges, where new oceanic crust is produced by volcanic activity and then gradually moves away from the ridge.

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A girl pulls her school box with force of 78N inclined at 27 degrees to the ground. Calculate the part of the force moving the box along the ground

Answers

A girl pulls her school box with force of 78N inclined at 27 degrees to the ground.  The part of the force moving the box along the ground will be 35.1 N

there will be two components of forces :

vertical as well as horizontal component

vertical component = F sin ( 27 )

horizontal component = F sin ( 27 ) = 78 sin ( 27 )

                                                          = 35.1 N  

The part of the force moving the box along the ground will be 35.1 N

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Las turbinas que funcionan en la empresa tarjeta ¿Que tipo de energía se utiliza para hacerlas girar?

Answers

Answer:

Energía cinética.

Explicación:

La energía cinética es un tipo de energía que se utiliza para hacer girar la turbina. La energía cinética que está presente en el fluido o el viento obliga a girar la turbina que convierte esta energía y conduce a la generación de energía eléctrica. Cuando el viento o el fluido en movimiento toca las palas de la turbina, provoca la rotación de la turbina y, debido a esta rotación, los generadores conectados a la turbina también inician un movimiento que produce energía eléctrica.

Giwe two Escample of translucent
Object​

Answers

Answer: Butter paper, ground glass, and a bonus thin sheets of plastic

Explanation: Translucent objects allow light to pass through them partially.

Answer:

Tinted windows, frosted glass, sunglasses, wax paper, fingers, and certain plastics are all examples of translucent objects. Translucent is defined as a material that blurs light as it passes through.

Hope this helps :)

Calculate the amount of heat required to raise the
temperature of 140grams of water from 16°C to 90°C
. The specific heat of water is 4.18J/g ° C.

Answers

Answer:

43.1 kJ

Explanation:

Q=mCT, where Q is the energy, m is the mass, C is the specific heat, and T is the temperature change.

Q = (140g)*((4.16 J/(g*C))*(90C - 16C) = 43098 J, or 43.1 kJ with 3 sig figs

What is the range of wavelengths that our eyes can see on the spectrum(this is called visible light spectrum)

Answers

Answer:

380 to 700 nanometers

Explanation:

The visible light spectrum is the segment of the electromagnetic spectrum that the human eye can view. More simply, this range of wavelengths is called visible light. Typically, the human eye can detect wavelengths from 380 to 700 nanometers.

Magnet A has thrice the magnetic field strength of magnet B and at a certain distance pulls on magnet B with a force of 100 Newtons. With how much force, then, does magnet B pull on magnet A? What is the force if the distance between the magnets is doubled?

Answers

Answer:

- The force that magnet B pulls on the magnet A is equal to the force that magnet A pull on B. That is , 100N.

-   F'B = 25N

Explanation:

- You have that the magnet A pulls on the magnet B with a force of 100N.

By the third Newton law you have that any force has a reaction, that is, the force that magnet B pulls on the magnet A is equal to the force that magnet A pull on B. That is , 100N.

-  In order to calculate the force, if the distance between magnets is twice, you first take into account that the magnetic force is inversely proportional to the force between magnets, as follow:

\(F_B\ \alpha\ \frac{1}{r^2}\)     (1)

FB: magnetic force between the magnets = 100N

If the distance is twice, you obtain:

\(F_B'\ \alpha\ \frac{1}{(2r)^2}=\frac{1}{4r^2}\\\\F_B'\ \alpha\ \frac{1}{4}F_B\)

The new force is a quarter of the initial force, that is:

\(F_B'=\frac{1}{4}(100N)=25N\)

If the distance is twice the force is a quarter of the initial force.

if the peak kilovoltage on a single phase unit is set on 100 kvp, what will the r.m.s. value be?

Answers

Answer:

The RMS value for single phase equipment is 707 kV

Explanation:

Just answered question


pls mark brainliest :)

For a single-phase unit with a peak kilovoltage of 100 kVp, the RMS value would be approximately 70.7 kV.

How to calculate RMS value?

to calculate RMS value?In a single-phase unit set at 100 kVp (peak kilovoltage), the root mean square (RMS) value can be calculated using the relationship between peak voltage and RMS voltage for a sinusoidal waveform. The formula to find the RMS value is:

RMS voltage = peak voltage / √2

In this case, the peak voltage is 100 kVp.

Therefore, to calculate the RMS value, simply divide 100 kVp by the square root of 2 (√2 ≈ 1.414):

RMS value = 100 kVp / 1.414 ≈ 70.7 kV

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An axon of a human nerve cell is 5 x 10-6m in radius and 0.5-mm long. If the resistivity of the cytoplasm (inside the axon) is 1.6 x 107 Ω.m; Calculate the resistance along the axon, Raxial.
Raxial = ----- Ω

Answers

The axial resistance of an axon is calculated using the formula R = ρL/A, where ρ is the resistivity, L is the length, and A is the cross-sectional area. In this case, the axial resistance is 11.28 MΩ.

The resistance along the axon is calculated using the following formula:

R = ρL/A

where:

R is the resistance in ohms

ρ is the resistivity in ohms per meter

L is the length in meters

A is the cross-sectional area in meters squared

In this case, we have:

ρ = 1.6 x 107 Ω.m

L = 0.5 mm = 0.0005 m

A = πr² = π(5 x 10-6)² = 7.854 x 10-13 m²

Therefore, the resistance is:

R = ρL/A = (1.6 x 107 Ω.m)(0.0005 m) / (7.854 x 10-13 m²) = 11.28 MΩ

Therefore, the axial resistance of the axon is 11.28 MΩ.

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Can someone please explain
1) Centripetal force with example
2) Centrifugal force with example
3) Circular motion with example

Answers

Explanation:

centripetal force is a force that makes a body follow a curved path. for example, twirling,a lasso, cream seperator etc.

A force that causes an objectmoving in a circular path to move out and away from the centres of it's path is centrifugal force. for example,drifting, banked roads, washing machine etc.

Circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. for example, stirring batter, stone tied to a string etc

hope its helpfull♡

Calculate the density of the baseball. Use the formula D = m/V where D is the density, m is the mass, and V is the volume. Determine whether the density of baseball is within the legitimate range for an official baseball. Record your answers in Table C of your Student Guide. What is the density of the baseball? g/cm3 The acceptable density range of official baseballs is between 0. 70 g/cm3 and 0. 80 g/cm3. Is the questionable ball in this range of acceptable density?.

Answers

To calculate the density of the baseball, we need the mass (m) and volume (V) of the baseball. The formula for density is D = m/V.

If you have the mass and volume measurements of the baseball, you can plug them into the formula to calculate the density. However, since you haven't provided the specific mass and volume values, I'm unable to calculate the density of the baseball for you. Once you have the density value, you can compare it to the acceptable density range for official baseballs, which is between 0.70 g/cm³ and 0.80 g/cm³. If the density of the baseball falls within this range, it is considered to have an acceptable density for an official baseball.

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a dog with mass of 14kg has a kinetic energy of 135.5j. what is the speed of the dog

Answers

Answer:

v = 4.39968 m/s

v = 9.8418038654259 mi/h

v = 14.434645669291 ft/s

v = 15.838846732892 km/h

Explanation:

v=KE/1/2m

Predict and sketch the following actions/movements A Moving with a constant speed in + direction A Moving in + direction and speeding up R Movino with a constant eneed in - dirpstion B Moving in - direction and speeding up A Moving in + direction, first fast then slow A Moving with - velocity and - accel'n R Movine in - direction. first fast then slow

Answers

A) Moving with a constant speed in the positive direction, B) Moving in the negative direction and speeding up, C) Moving in the positive direction, first fast then slow, and D) Moving with negative velocity and negative acceleration.

A) Moving with a constant speed in the positive direction: This indicates a linear motion where the object maintains a constant velocity in the positive direction. The sketch would show a straight line with a constant positive slope, indicating a steady speed.

B) Moving in the negative direction and speeding up: This suggests an object that is initially moving in the negative direction and is accelerating, or increasing its speed. The sketch would depict a line with a negative slope that becomes steeper over time, indicating an increase in velocity.

C) Moving in the positive direction, first fast then slow: This implies an object initially moving in the positive direction at a high speed and gradually slowing down. The sketch would show a line with a positive slope that becomes less steep over time, indicating a decrease in velocity.

D) Moving with negative velocity and negative acceleration: This refers to an object moving in the negative direction with decreasing speed, or decelerating. The sketch would display a line with a negative slope that becomes less steep over time, representing a decrease in velocity.

These sketches provide visual representations of the predicted actions/movements, illustrating the changes in velocity over time for each scenario.

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