Answered: If a mass of 1 kg with an initial…

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

If a mass of 1 kg with an initial velocity of 4 m/s to the right collides elastically with a mass of 3 kg going 1 m/s to the left, what will be the velocity of the first mass after the collision? Right is positive, left is negative.

Options include:

+ 1.0 m/s

-2.5 m/s

-1.5 m/s

-3.5 m/s

Expert Solution

Step 1

Given information:

The given masses are

$m_{1} = 1 kg m_{2} = 3 kg$

The velocity of the mass 1 is, $u_{1} = 4 m / s$

The velocity of the mass 2 is, $u_{2} = - 1 m / s$

Here the negative sign is due to the fact that the $m_{2}$ is moving to the left

Step 2

The velocity of the first mass after the elastic collision is calculated as follows

$\begin{array}{rcl} v_{1} & = & (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) u_{1} + (\frac{2 m_{2}}{m_{1} + m_{2}}) u_{2} \\ = & [(\frac{1 - 3}{1 + 3}) \times 4] + [(\frac{2 \times 3}{1 + 3}) (- 1)] \\ = & - 2 - \frac{3}{2} \\ = & - 3.5 m / s \end{array}$

This is the velocity of the first mass after the collision.

Step by step

Solved in 3 steps

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