On a level, frictionless air track, a cart is moving at 15 cm/s toward another cart of equal mass that is initially stationary on the air track. What will be the velocity of both carts after the collision? a.The first cart has a speed of 15 cm/s to the left and the second cart has a speed of 15 cm/s to the left. b.The first cart has a speed of 15 cm/s to the right, and the second cart has a speed of 15 cm/s to the right. c.The first cart has a speed of 15 cm/s to the left and the second cart has a speed of 0.00 cm/s. d.The first cart has a speed of 0.00 cm/s, and the second cart has a speed of 15 cm/s to the right. e.The first cart has a speed of 15 cm/s to the left, and the second cart has a speed of 15 cm/s to the right.

The information given about the system is, u1=15 cm/s =0.15 m/su2=0m1=m2=M kg From the conservation of linear momentum, m1u1+m2u2=m1v1+m2v2 ......(1) From the conservation of energy, 12m1u12+12m2u22=12m1v12+12m2v22 ....(2) Substitute the values in equation (1) and (2), M0.15 m/s+0=Mv1+Mv2M0.15 m/s=Mv1+v20.15 m/s=v1+v2 .....(3) This equation shows that the sum of final speeds need to be equal to 0.15 m/s. Since the carts are on a frictionless air track, therefore, the energy of first cart is transferred to the second cart without any loss of energy of the complete system. The first cart initially moving with 15 cm/s (lets assume moving towards right) comes to rest and the second cart, initially at rest starts moving with final velocity equal to 15 cm/s towards right. Therefore, option (d) is correct.

Answered: On a level, frictionless air track, a…

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

Question

On a level, frictionless air track, a cart is moving at 15 cm/s toward another cart of equal mass that is initially stationary on the air track. What will be the velocity of both carts after the collision?

	a.	The first cart has a speed of 15 cm/s to the left and the second cart has a speed of 15 cm/s to the left.
	b.	The first cart has a speed of 15 cm/s to the right, and the second cart has a speed of 15 cm/s to the right.
	c.	The first cart has a speed of 15 cm/s to the left and the second cart has a speed of 0.00 cm/s.
	d.	The first cart has a speed of 0.00 cm/s, and the second cart has a speed of 15 cm/s to the right.
	e.	The first cart has a speed of 15 cm/s to the left, and the second cart has a speed of 15 cm/s to the right.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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