A spring has a spring constant of 1573 N/m. You place the spring vertically with one end on the floor. You then drop a 2 kg book onto it from a height of 0.8 m above the top of the spring. Find the maximum distance the spring will be compressed. Express your answer with the appropriate mks units.

A spring has a spring constant of 1573 N/m. You place the spring vertically with one end on the floor. You then drop a 2 kg book onto it from a height of 0.8 m above the top of the spring. Find the maximum distance the spring will be compressed. Express your answer with the appropriate mks units.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 35P: When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force...

See similar textbooks

Related questions

Q: A 5.00-kg block is moving at 6.00 m/s along a frictionless, horizontal surface toward a spring with…

A: When the block compresses the spring, the kinetic energy of the block will be equal to the spring…

Q: A block of mass 4.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a…

Q: given by u = 0.400. How far has the spring compressed by the time the block first momentarily comes…

A: Here some of the initial kinetic energy changes into potential energy of spring and some will…

Q: A block of mass 1.5 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: The given data are listed below with appropriate variables. Here, m denotes the mass, k denotes the…

Q: A spring has been attached at the bottom of the frictionless surface which has angle of 30 degree…

Q: A block whose mass is 5.7 kg slides on horizontal frictionless table top with a constant speed of 5…

A: Given values: Mass, m=5.7 kg Speed, v=5 m/s Spring constant, K=1282.5 N/m

Q: A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: Here, m denotes the mass, k denotes the spring constant, xi denotes the initial compression, and F…

Q: right

A: Given: The spring constant K1 =10 N/m The spring constant K2 =20 N/m The left spring is compressed…

Q: (b) Determine the velocity of the block when it slides at a distance of 0.6m from point A. 0.8m…

A: The potential energy stored in the spring is U = 0.5 K y2 where, K is the spring constant, y is the…

Q: A block of mass m = 4.45 kg slides along a horizontal table with speed up = 6.50 m/s. At x = 0, it…

A: Given data: The mass of the block is m=4.45 kg The initial speed of the mass v∘=6.50 m/s The spring…

Q: Problem 7: A block of mass 5.5 kg is sitting on a frictionless ramp with a spring at the bottom that…

Q: A block of mass m = 1.75 kg slides along a horizontal table www with speed vo = 3.50 m/s. At x = 0,…

A: Given Data Mass of the block is m=1.75 kg Initial speed of the block is v0=3.50 m/s Spring constant…

Q: A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0,…

A: The mass of the block is m = 2.25 kg. The speed with which the block slides along a horizontal table…

Q: Problem 4: The spring has a spring constant 627 N/m. The box of mass 4.4 kg is released from rest at…

A: Given: Spring constant k = 627 N/m. Mass of box m = 4.4 kg Initial height h = 1.9 m. Angle of…

Q: spring constant of the spring is 400 N/m. Once the block has made contact with the spring, it…

A: We know that We have given that the steel block drop from the rest, the block falls from the height…

Q: A 2.50 kg block on a horizontal floor is attached to a horizontal spring that is initially…

Q: A 5.00-kg block is moving at 6.00 m/s along a frictionless, horizontal surface toward a spring with…

A: Given:Mass of the block = 5 kgVelocity of the block = 6 m/sSpring constant = 500 N/m

Q: A block of mass 4.70 kg is leaning against a spring of spring constant 5.43⋅102 N/m (see figure). At…

Q: A child's toy consists of a piece of plastic attached to a spring (as shown in Figure). The spring…

Q: A 2.85 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Apply Newton’s second law at the vertical motion of the block, then n-mg=0n=mg=2.85 kg9.8 m/s2=27.93…

Q: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 800 N/m as shown…

A: Here, m denotes the mass, k denotes the spring constant, xi denotes the initial compression, and F…

Q: The 20 kg block is sliding down an inclined plane at a 30 ° inclined friction and is stopped by a…

A: Given: Block's mass→m=20 kg Inclined angle→θ=30° Spring constant→k=2×104 N/m Distance moved by block…

Q: A 3 kg block is fastened to a vertical string that has a spring constant of 800 N/m. A 1.2 kg block…

A: Since the system is at rest, the forces acting on both blocks must be balanced. For the top block of…

Q: A box of mass m = 2.20 kg is dropped from rest onto a massless, vertical spring with spring…

A: according to the conservation of energy, Kf-Ki+Uf-Ui=0 1

Q: To measure the static friction coefficient between a 4.50-kg block and a vertical wall, the setup…

Q: Your doctor has told you to watch your weight. Of course, your weight comprises two factors, so you…

A: Given, the elastic band is stretched by a distance, x = 2.1 cmwhile you are in lift the band is…

Q: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 1100 N/m as…

A: Solution:

Q: A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x.…

A: Given Data : The mass of the ball is given as m The spring constant of the spring is given as k The…

Q: A spring with spring constant 150 N/m and rest length 13.6 cm is used to pull a wooden block of…

A: The spring force is the force exerted by a compressed or stretched spring upon an object that is…

Q: A block of mass 12 kg slides down a frictionless inclined plane inclined at 35° with no initial…

Q: To measure the static friction coefficient between a 4.96-kg block and a vertical wall, the setup…

A: The coefficient of static friction is μs=1.709.Explanation:Step 1: Given-Mass of the block is…

Q: A gymnast of mass 52.0 kg is jumping on a trampoline. She jumps so that her feet reach maximum…

A: Given, Mass of gymnast m = 52 kg Maximum height h = 2.49 m Stretch in trampoline x = 68 cm

Q: An 2.1 kg object is launched down a frictionless ramp at 7.2 m/s towards a spring connected to the…

Q: An object of mass 6.25 kg slides down a hill of height 21.1 m. At the bottom of the hill is a spring…

A: Given:- the mass starts from rest at the top of the hill mass of the object = 6.25 kg height of…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

O Part 1: Book dropped on a spring
A spring has a spring constant of 1573 N/m. You place the spring vertically with one end on the floor. You then drop a 2 kg book onto it
from a height of 0.8 m above the top of the spring. Find the maximum distance the spring will be compressed. Express your answer with
the appropriate mks units.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Problem 4: The spring has a spring constant 627 N/m. The box of mass 4.4 kg is released from rest at the top of the ramp as shown. The initial height is 1.9 m, and the angle is 18 degrees. Assume the surfaces are frictionless. Part (a) What is the maximum distance that the spring is compressed in m (when the box comes to a rest)? Grad Dedu m Poter Subr
Tendons. Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke’s law. In laboratory tests on a particular tendon, it was found that, when a 248-g object was hung from it, the tendon stretched 1.22 cm. (a) Find the force constant of this tendon in N/m. (b) Because of its thickness, the maximum tension this tendon can support without rupturing is 140 N. By how much can the tendon stretch without rupturing, and how much energy is stored in it at that point? Draw free-body diagram.
A crate of mass m is above a ramp of angle θ and a distance L from a spring of constant k. The ramp and the crate have a coefficient of kinetic friction μ. (a) What is the crate's speed before it compresses the spring? (b) What is the maximum compression of the spring? (c) How far does the box get to its initial distance once it rebounds?
m y A 1.7060 kg object is pressed into a spring. The spring constant is 355 N/m. The object is released at the bottom of a frictionless ramp and rises to a height of 149.0 cm as shown in the picture. Calculate how far the spring was compressed. Enter the numerical part of your answer to three significant figures.
O Macmillan Learning A block of mass m = 2.15 kg slides along a horizontal table with speed vo= 1.00 m/s. At x = 0, it hits a spring with spring constant k = 73.00 N/m, and it also begins to experience a friction force. The coefficient of friction is given by μ = 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? Ax = m wwwwwwwww Ax
Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that it is moving at 5 m/s. It hits a spring (k = 92.5 N/m) at the end of the track, causing it to compress. How far did the spring compress to bring the car to a stop? Calculate the answer in cm and make sure to include the unit. Report your final answer with three significant figures.
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance Yo' then helps to support any additional load. Consider a leaf spring constant of 5.35 × 105 N/m, helper spring constant of 3.60 × 105 N/m, and y₁ = 0.500 m. Truck body Yo Axle (a) What is the compression of the leaf spring for a load of 4.10 × 105 N? 0.69 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) How much work is done compressing the springs? J and
A 1.72 kg box falls from a height of 2.19 m onto a large capacity spring scale with a spring constant of 1.75 × 105. N compression, the reading on the scale is m O 1720 N. O 37.0 N. O 7180 N. O 3590 N. O 12.8 N. At its greatest
Tendons. Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke’s law. In laboratory tests on a particular tendon, it was found that, when a 250 g object was hung from it, the tendon stretched 1.23 cm. (a) Find the force constant of this tendon in N/m. (b) Because of its thickness, the maximum tension this tendon can support without rupturing is 138 N. By how much can the tendon stretch without rupturing, and how much energy is stored in it at that point?
A block of mass 1.3 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. F. x0 (a) A constant friction force of 3.7 N retards the block's motion fr the moment is released. How m is the spring compressed when the speed of the block is a maximum. cm (b) What is the maximum speed? cm/s
The massless spring of a spring gun has a force constant k = 0.04 N/cm. When the gun is aimed vertically, a 40 g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) How much was the spring compressed initially? (Find d, in meters.)
What is the magnitude of the force required to stretch a 10 cm-long spring, with a spring constant of 100 N/m, ?to a length of 15 cm :Select one а. 50N b. 10N С. 150N d. 15N е. 5N أخل اختياري O O