2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart.The head-on collision is completely elastic and is cushioned by a spring.a. Find the velocity of each cart after the collision.b. The maximum compression of the spring during the collision is 2.0 cm.Find the spring constant.

Part (a): Finding the Velocities After CollisionStep 1: Understand the ProblemWe have two carts…

Answered: 2. A 1.2 kg cart moving at 6.0 m/s [E]…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 8PQ

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There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity v1 in the positive x direction (Fig. P10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart spring system? b. Find an expression for the velocity of cart 2. c. Sometimes, mistakes are made in a laboratory. For example, what changes in parts (a) and (b) if the track is not level as shown in Figure P10.40C? Explain your answer.
A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P9.89. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision.
A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P8.57. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision. Figure P8.57
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
Pendulum bob 1 has mass m1. It is displaced to height h1 and released. Pendulum bob 1 elastically collides with pendulum bob 2 of mass m2 (Fig. P11.43). FIGURE P11.43 a. Find an expression for the maximum height h2 of pendulum bob 2. b. If m2 = 2.5m1 and h1 = 5.46 m, what is h2?
A light, cubical container of volume a3 is initially filled with a liquid of mass density as shown in Figure P15.5la. The cube is initially supported by a light string to form a simple pendulum of length Li, measured from the center of mass of the filled container, where Li a. The liquid is allowed to flow from the bottom of the container at a constant rate (dM/dt). At any time t, the level of the liquid in the container is h and the length of the pendulum is L. (measured relative to the instantaneous center of mass) as shown in Figure P15.51b. (a) Find the period of the pendulum as a function of time. (b) What is the period of the pendulum after the liquid completely runs out of the container? Figure P15.51
In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.
2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. b)The maximum compression of the spring during the collision is 2.0 cm. Find the spring constant. do it correctly please and thank you
2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a) Find the velocity of each cart after the collision. Add Units and directions
4. In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [E] collides with a 0.80 kg cart moving at 2.0 m/s [W]. The collision is cushioned by a spring (k = 1,200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.
5.
A box of mass 60.0 g slides at 25.0 m/s along a horizontal frictionless surface, and makes a perfectly elastic collision with a box of mass 370 g that is initially at rest. The second box then slides into a spring with spring constant 18.0 N/m that stops the box and sends it back in the other direction. What is the maximum compression of the spring relative to its equilibrium position during this process?A. 18.8 m.B. 2.58 m.C. 0.500 m.D. 0.143 m.E. 1.00 m

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