A 25.0-g bullet strikes a 0.600-kg block attached to a fixed horizontal spring whose

Chapter 11, Problem 26P

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QUESTION:

Problem 26P

A 25.0-g bullet strikes a 0.600-kg block attached to a fixed horizontal spring whose spring stiffness constant is 7.70 × 103 N/m. The block is set into vibration with an amplitude of 21.5 cm. What was the speed of the bullet before impact if the bullet and block move together after impact?

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QUESTION:

Problem 26P

A 25.0-g bullet strikes a 0.600-kg block attached to a fixed horizontal spring whose spring stiffness constant is 7.70 × 103 N/m. The block is set into vibration with an amplitude of 21.5 cm. What was the speed of the bullet before impact if the bullet and block move together after impact?

ANSWER:

Solution 26P

Step 1 of 2

We have to find the speed of the bullet before impact if the bullet and block move together after impact.

The initial speed of the bullet can be found using the law of conservation of momentum.

where,

mass of the bullet in kg

initial speed of the bullet

        in m/s

Mass of the block = 0.6 kg

maximum speed of the

          bullet and block after collision

          in m/s

Thus,

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