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In FIGURE, a block of mass m slides along a frictionless

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight ISBN: 9780321740908 69

Solution for problem 52P Chapter 10

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition

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Problem 52P

Problem 52P

In FIGURE, a block of mass m slides along a frictionless track with speed vm. It collides with a stationary block of mass M. Find an expression for the minimum value of vm that will allow the second block to circle the loop-the-loop without falling off if the collision is (a) perfectly inelastic or (b) perfectly elastic.

FIGURE

Step-by-Step Solution:

Solution 52 P:

Step 1 of 2:-

Here we have to find the minimum value of .

The mass of the block is m.

The initial speed is .

The stationary block mass is M.

For perfectly inelastic collision, the total energy and the momentum are conserved.

From the conservation of linear momentum,

-------------------(1)

The conservation of energy tells that,

-------------------(2)

Where .

Step 2 of 2

Chapter 10, Problem 52P is Solved
Textbook: Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Edition: 3
Author: Randall D. Knight
ISBN: 9780321740908

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In FIGURE, a block of mass m slides along a frictionless