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# Suppose a 0.250-kg ball is thrown at 15.0 m/s to a

ISBN: 9780130606204 3

## Solution for problem 46PE Chapter 10

Physics: Principles with Applications | 6th Edition

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Problem 46PE

Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown in Figure 10.40. (a) Calculate the final linear velocity of the person, given his mass is 70.0 kg. (b) What is his angular velocity if each arm is 5.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.900 m) and the rest of his body as a uniform cylinder of radius 0.180 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center. (c) Compare the initial and final total kinetic energies.

Step-by-Step Solution:

Step-by-step solution Step 1 of 8 There is no external force is involved in the system, so from the conservation of the linear momentum. Here, is the mass of the ball, is the linear velocity of the ball before the collision, is the mass of the man and is the final linear velocity. Step 2 of 8 (a) Substitute 0.250 kg for , 15.0 m/s for and 70.0 kg for . . Hence, the required final linear velocity of the person is . Step 3 of 8 (b) The arms are assumed as the rods, so its moment of inertia about the body axis of rotation is, Here, m is the mass of a single arm and l is the length of the arm. Step 4 of 8 The moment of inertia of its body is, Here, M is the mass of the body (without hands) and r is the radius of body which is assumed as cylindrical shaped. Substitute 60.0 kg for M and 0.180 m for r. Total moment of inertia is calculated as,

Step 5 of 8

Step 6 of 8

##### ISBN: 9780130606204

The full step-by-step solution to problem: 46PE from chapter: 10 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. Since the solution to 46PE from 10 chapter was answered, more than 747 students have viewed the full step-by-step answer. The answer to “Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown in Figure 10.40. (a) Calculate the final linear velocity of the person, given his mass is 70.0 kg. (b) What is his angular velocity if each arm is 5.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.900 m) and the rest of his body as a uniform cylinder of radius 0.180 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center. (c) Compare the initial and final total kinetic energies.” is broken down into a number of easy to follow steps, and 124 words. This full solution covers the following key subjects: mass, ball, center, Person, treat. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6.

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