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# Confirm that the results of the example Example 8.7 do ISBN: 9781938168000 42

## Solution for problem 46PE Chapter 8

College Physics | 1st Edition

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Problem 46PE

Problem 46PE

Confirm that the results of the example Example 8.7 do conserve momentum in both the x - and y -directions.

Example 8.7 Determining the Final Velocity of an Unseen Object from the Scattering of Another Object

Suppose the following experiment is performed. A 0.250-kg object (m1) is slid on a frictionless surface into a dark room, where it strikes an initially stationary object with mass of 0.400 kg (m2) . The 0.250-kg object emerges from the room at an angle of 45.0° with its incoming direction. The speed of the 0.250-kg object is originally 2.00 m/s and is 1.50 m/s after the collision. Calculate the magnitude and direction of the velocity (v′2 and θ2) of the 0.400-kg object after the collision.

Step-by-Step Solution:

Step 1 of 7:

Consider an unseen object collides with another object which is at rest. The masses of the objects and the initial velocities of the first objects are given. We are going to prove that the system conserves momentum in both x- and y- direction.

Before solving the problem, we need to find out the final velocity of the second object and its direction.

The mass of the first object The mass of the second object (unseen) The initial velocity of the first object The initial velocity of the first object The final velocity of the second object The angle of the first object Step 2 of 7:

Applying conservation of momentum in x-direction Substituting the values  Step 3 of 7:

Applying conservation of momentum in y-direction, here the initial momentum is zero as the second object is at rest. Substituting the known quantities  Step 4 of 7:

Dividing the equation (4) by (2)   The direction of the second object is -48.5° or 311.5°                         (360°-48.5°)

Step 5 of 7

Step 6 of 7

##### ISBN: 9781938168000

College Physics was written by and is associated to the ISBN: 9781938168000. This full solution covers the following key subjects: Object, Example, collision, Room, velocity. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 46PE from 8 chapter was answered, more than 245 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: College Physics , edition: 1. The answer to “Confirm that the results of the example Example 8.7 do conserve momentum in both the x - and y -directions.Example 8.7 Determining the Final Velocity of an Unseen Object from the Scattering of Another ObjectSuppose the following experiment is performed. A 0.250-kg object (m1) is slid on a frictionless surface into a dark room, where it strikes an initially stationary object with mass of 0.400 kg (m2) . The 0.250-kg object emerges from the room at an angle of 45.0° with its incoming direction. The speed of the 0.250-kg object is originally 2.00 m/s and is 1.50 m/s after the collision. Calculate the magnitude and direction of the velocity (v?2 and ?2) of the 0.400-kg object after the collision.” is broken down into a number of easy to follow steps, and 119 words. The full step-by-step solution to problem: 46PE from chapter: 8 was answered by , our top Physics solution expert on 07/07/17, 04:39PM.

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