Section Problem 2 A 1.50-kg block is held in place against the spring by a 75-N horizontal external force compressing it by a distance x (see the figure), The external force is removed, and the block is projected with a velocity v = 1.2 m/s upon separation from the spring and reaching point A which is on the same height as the spring, The block descends a ramp and has a velocity v1 = 5.6 m/s at the bottom. The track is frictionless. a) b) [ c) I s] Calculate the initial compression of the spring. -] Calculate the height h of the ramp (shown on the figure). s] What is the stiffness constant k of the spring? v2

Section Problem 2 A 1.50-kg block is held in place against the spring by a 75-N horizontal external force compressing it by a distance x (see the figure), The external force is removed, and the block is projected with a velocity v = 1.2 m/s upon separation from the spring and reaching point A which is on the same height as the spring, The block descends a ramp and has a velocity v1 = 5.6 m/s at the bottom. The track is frictionless. a) b) [ c) I s] Calculate the initial compression of the spring. -] Calculate the height h of the ramp (shown on the figure). s] What is the stiffness constant k of the spring? v2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

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 large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

Q: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 795…

A: Given data: Mass of the box, m=1.5 kg Force constant, k=795 N/m Coefficient of kinetic friction,…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the…

Q: A 4.00-kg mass is connected to a cable attached to a spring with a spring constant of 75.0 N/m. when…

A: Given, The mass , m = 4.00 Kg Spring constant, k = 75.0 N/m Initial velocity , vi = 2.00 m/s∆x =…

Q: Suppose that an object of mass 6.7 g is hung from a vertical spring that is stretched 10.2 cm as a…

A: mg=kx k=mgx

Q: Iace with d speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m)…

A: Mass "m" = 2.6 kg . initial velocity "u" = 1.8m/s .

Q: A 3.20-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Given value--- mass = 3.20 kg. Speed = 1.8 m/s. We have to find--- (a) Determine the force…

Q: A spring and block are in the arrangement of the figure below. When the block is pulled out to x =…

A: The work done by a spring on a block is given by the formula: W = - ∆U = - (1/2) k (x22 - x12) W =…

Q: A 1.60-kg object is held 1.40 m above a relaxed, massless vertical spring with a force constant of…

A: mass of object (m) = 1.60 kg height of object above spring (h) = 1.40 m force constant (k) = 300 Nm…

Q: A block of mass m = 1.50 kg is dropped from height h = 46.0 cm onto a spring of spring constant k =…

Q: A block of mass 3.60 kg is placed against a horizontal spring of constant k = 825 N/m and pushed so…

Q: A spring-loaded toy gun is aimed vertically and fired after a spherical projectile of mass m =…

A: Given: The mass of the object is 28.5 kg. The sprign constant is 830 N/m. The compresson in the…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 865 N/m and pushed so…

Q: A 20 kg mass is fastened to a spring of force constant k- 350 N/m by a string passing over a light…

A: The conservation of energy is, mgh=12mv2+12kx22mgh=mv2+kx22mgh-kx2=mv2v=2gh-kx2m

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: According to the conservation of energy, 12kx2=mghkx2=2mghk=2mghx2

Q: A vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the…

A: Spring constant (k) = 360 N/m Mass of block (m) = 0.30 kg Compression in the spring (y) = 3 cm =…

Q: An elevator car of mass 815 kg falls from rest 2.70 m, hits a buffer spring, and then travels an…

Q: If the spring is 1 meter long now and compresses a maximum dis tance of 3O cm, what is the spcing…

A: Answer..

Q: Ablock of mass of 10 kg is moving across a frictionless floor and comes in contact with an idoal…

Q: A) A 1.2 kg block slides down a frictionless incline with a slope angle of 42°, starting from a…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.90 m above…

A: Given data: Mass of the block is, m = 500 g = 0.5 kg Height of the block from horizontal is, h =…

Q: 8. DETAILS (a) With what speed does the projectile leave the barrel of the cannon? 1.34 ✓ m/s A toy…

A: To solve this problem, we can use conservation of energy to find the initial speed of the ball and…

Q: A 1.10-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

Q: sin A 3 kg block at the bottom of a 37 frictionless inclined plane is given an initial velocity of 6…

A: Given: Mass of the block m = 3 kg. Inclination angle of ramp θ=37o Initial velocity of block u = 6…

Q: An elevator car of mass 815 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

Q: You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you…

A: Given: Mass of block m=2 kg Length of compression ∆x=15 cm=0.15 m Stopping distance measured from…

Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring Work done =12kx2 where k is spring constant x…

Q: A bow made for arrows behaves just like a spring. You pull on the bow and stretch it a distance of…

A: Given, A bow made for arrows behaves just like a spring. Distance of stretch x = 0.44m Maximum force…

Q: A 5 kg object is pressed against the spring which has an undeformed length of 0.5 m (spring…

Q: At an archery event, a woman draws the string of her bow horizontally back from 0 to 0.416 m with a…

Q: A ball is attached to a vertical spring with a spring constant of 6.0 N/m.it is held at the…

A: Spring constant, Distance, Acceleration due to gravity,

Q: You are asked to design a spring that will give a 1050 kg satellite a speed of 2.80 m/s relative to…

Q: A 20 m long spring is attached to the wall When puled horizontaly with a force of 100 N. the spring…

A: The force provided to stretch the spring is F=100 N , which is calculated by using the formula F=kx…

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

Name
Problem 2
A 1.50-kg block is held in place against the spring by a 75-N horizontal external force
compressing it by a distance x (see the figure). The external force is removed, and the block
is projected with a velocity v, = 1.2 m/s upon separation from the spring and reaching point
A which is on the same height as the spring. The block descends a ramp and has a velocity
v1 = 5.6 m/s at the bottom. The track is frictionless.
a)
b) [
c) |
Section
s] Calculate the initial compression of the spring.
Calculate the height h of the ramp (shown on the figure).
s] What is the stiffness constant k of the spring?
v1
A
V2
and Block
surface
to the
Thelon?
dei of block
peciy

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 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

Course dashboard Q. A block of mass 250.0 g is placed on top of a light vertical spring of constant k = 4.80 x 103 N/m and is pushed downward so that the spring is compressed 6.60 cm. After the block is released, it travels upward and leaves the spring. To what maximum height above the point of release does it rise? n A) 2.13 m В) 4.27 m С) 8.53 m D) 20.9 m E) 129 m retle Lütfen birini seçin: O B OC OD O E O O O O
Question 2 : Block B slides down the rough surface, while pulling block A to the right. If both blocks are initially at rest and the spring is initially unstretched, determine: a. Velocity of A, after B slides down a distance d=0.5m b. Maximum distance "d" block B slides down before stopping K=300N/m A 10kg Note: Spring is attached to A H=0,2 B 50kg 3 d
A 3.00 kg box that is sliding on frictionless surface with a speed of 15 m/s approaches a horizontal spring. The spring has a spring constant of 1900 N/m. m 10000000 How far will the spring be compressed in stopping the box? Submit Answer Tries 0/10 How far will the spring be compressed when the box's speed is reduced to half of its initial speed? Note: This is not saying that the box starts with half of the original speed, the box still starts with 15 m/s, the question asks how far the spring will have been compressed when it has slowed the box to half of that speed. Submit Answer Tries 0/10
7) A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? _____ N/m
A 1.5 kg block is forced against a horizontal spring, compressing the spring 0.17 m. When released, the block moves on a horizontal table top for 1.01 m before coming to rest. The spring constant is 112 N/m. Determine the coefficient of kinetic friction between the block and the table
Question as an attachment
A spring with a constant k = 100 N/m is placed after point-C in the frictionless ABC path. A ball of mass of 2 kg is initially at rest and released from point A. The ball travels through the ABC path and finally hits the spring. a) What is the velocity of the ball at point B and C? b) What is the maximum compression in the spring? 2 kg 1.8 m 0.45 m g-9.8 m/s²
A block with a mass 3.7 kg is sitting on a frictionless ramp with a spring at rhe bottom that has a spring constant of 540 N/m. The angle of the ramp in respect to the horizontal is 36 degrees. 1) the block starts from rest and slides down the ramp a distance of 69cm before hitting the spring. how far is the spring compressed as the block comes to momentary rest? 2) after the block comes to rest the spring pushes the block back up the ramp. how fast is the block moving right after it comes off the spring. 3) what is the change in gravitational potential energy between the original positiion of the block at the top of the ramp and the position of the block when the spring is fully compressed?
A box slides from rest down a frictionless ramp inclined at 38.0° with respect to the horizontal and is stopped at the bottom of the ramp by a spring with a spring constant of k = 3.50 x 104 N/m. point of release 1 m compression of spring If the box has a mass of 12.0 kg and slides 3.00 m from the point of release to the point where it comes to rest against the spring, determine the compression (in m) of the spring when the box comes to rest.
1) A pendulum bob of mass 0.710 kg is suspended by a string of length 1.50 m. The bob is released from rest when the string is at 30°to the vertical. The swing is interrupted by a peg 1.00 m vertically below the support as shown below. What is the maximum angle to the vertical made by the string after it hits the peg? 1 m
A 3.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 4.7 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.5 cm. m/s Additional Materials O Reading
A spring with a spring constant of 51.1 N/m is hung from the ceiling. A block is then attached to the free end of the spring. When released from rest, the block drops 0.160 m before momentarily coming to rest, after which it moves back upward. What is the mass of the block?