17. A 2.4 kg dynamics cart is moving to the fight a linear elastic spring attached to its front end, when it collides head-on with a stationary cart of mass 3.6 kg. (a) Calculate the total energy of the system before the collision. (b) What is the velocity of each cart at minimum separation? (c) Calculate the change in total kinetic energy of the system at minimum separation. (d) If the maximum compression of the spring during the col- lision is 12 cm, what is its force constant?

17. A 2.4 kg dynamics cart is moving to the fight a linear elastic spring attached to its front end, when it collides head-on with a stationary cart of mass 3.6 kg. (a) Calculate the total energy of the system before the collision. (b) What is the velocity of each cart at minimum separation? (c) Calculate the change in total kinetic energy of the system at minimum separation. (d) If the maximum compression of the spring during the col- lision is 12 cm, what is its force constant?

Name: 17. A 2.4 kg dynamics cart is moving to the right at 1.5 m/s. Wia lin
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 17. A 2.4 kg dynamics cart is moving to the right at 1.5 m/s. Wia linear elastic spring attached to its front end, when it collideshead-on with a stationary cart of mass 3.6 kg.(a) Calculate the total energy of the system before the collision.(b) Wh

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

Similar questions

A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 800 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. x x=0 (a) A constant friction force of 3.7 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum. 0.463 cm (b) What is the maximum speed? Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s
A 10.0 g bullet is fired into and embeds itself in a 1.75 kg block attached to a spring with a spring constant of 22.0 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
As shown in the figure below, a box of mass m = 7.40 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.50 m/s when it encounters a spring of constant k = 2750 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring.
5. A 60 kg circus performer is swinging from a trapeze bar.A: She is 10 m off the ground with a speed v1. The spring-board platform below her is atits equilibrium length.B: She lets go of the trapeze bar and lands on th spring-board platform, which compresseswhen she lands on it. When she is stationary, she is 2 m off the ground and the springis maximally compressed.C: The spring-board extends and launches her back into the air. As soon as the spring istotally relaxed again, the performer is 3 m off the ground and has a speed v2.D: The performer lands on a platform 10 m above the floor, and she stands stationary. a. Her initial speed v1 = 10 m/s. What is her total energy at point A? b. Between points A and B, assume none of her energy is lost to heat or friction. Whenshe is stationary on the compressed platform at B, how much energy is stored in thespring-board platform? c. When the spring-board platform is fully released at point C, what must her speed v2 be?
A mass and a spring A 3.4 kg block slides 3.3 m across a frictionless, horizontal table at 2.2 m/s, moving left. Once the block hits the spring, it sticks, compressing the spring 70 cm before the block stops and reverses direction. The block then continues to bounce back and forth, still attached to the spring. The spring constant is 33.6 N/m. Ignore air resistance. 2.2 m/s 3.3 m 70 cm 1. Plot the position of the block as a function of time, with t = 0 when the block first hits the spring. Include the location at negative time values back to when the block was 3.3 m away from the spring. Clearly define your coordinate system. Plot two full oscillations of the spring. Use a graph. 2. What equation describes this position graph? Be sure to include units! Use a piecewise equation. .....
m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion before- hand and plenty of motion afterward? 5. Two blocks of masses m ailu ne QIC are placed on a frictionless, hor- V izontal surface. A light spring is attached to the more mas- 3m m Before sive block, and the blocks are pushed together with the spring between them (Fig. P9.5). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the system's original elastic potential energy, taking 2.00 m/s 3m m After b Figure P9.5
As shown in the figure below, a box of mass m = 5.80 kg is sliding across a horizontal frictionless surface with an initial speed vi = 3.10 m/s when it encounters a spring of constant k = 2350 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc (in m) of the spring. m
A 10.0 g bullet is fired into and embeds itself in a 1.80 kg block attached to a spring with a spring constant of 21.5 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
a 10.2kg ball is shot out of a canon vertically up the spring (k=18100n/m) in the canon is compressed by 43.9cm to shoot the ball. a) what’s the max height of ball b) what is the velocity of the ball when it reaches a height of 12.5m c) if the ball loses 33% of its initial energy what Will the height of the ball be when it is at a speed of 9.21 m/s
A 10.0 g bullet is fired into and embeds itself in a 2.30 kg block attached to a spring with a spring constant of 19.8 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a spring constant of 21.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m
A 2.00-kg pendulum ball is attached to a light-uniform cable of length 1.20 m that is hanging from the ceiling at an angle of 50.00 to the vertical. When the pendulum ball is released from the rest position, it swings to the very bottom of the motion where it collides head-on with a 1.40-kg block that is initially at rest on a level surface. lí the pendulum ball recoils at 1.50 m/s, what is the speed of the block after the collision? e = 50° 1.2 m 2.0 kg 1.4 kg a. 5.98 m/s b. 3.88 m/s c. 6.29 m/s d. 4.75 m/s e. 3.03 m/s