Problem 13.1 Blocks A and B are identical, and each have a mass of 10 kg. Block B is at rest when it is hit by block A which is moving with velocity VA = 6 m/s just before impact. Blocks A and B stick together after the impact. You may neglect friction during the impact. After the impact, the velocity of blocks A and B decreases due to friction. The coefficient of kinetic friction between all surfaces is μ = 0.20. Use conservation principles (including the system diagrams) to answer the following. (a) Determine the velocity of block A and B immediately after A hits B. (b) Determine the impulse exerted by block A on block B during the impact. (c) Determine the time required for the velocity of the blocks to drop to 1 m/s after the impact. (d) Determine the distance traveled by the blocks during this time interval.

Problem 13.1 Blocks A and B are identical, and each have a mass of 10 kg. Block B is at rest when it is hit by block A which is moving with velocity VA = 6 m/s just before impact. Blocks A and B stick together after the impact. You may neglect friction during the impact. After the impact, the velocity of blocks A and B decreases due to friction. The coefficient of kinetic friction between all surfaces is μ = 0.20. Use conservation principles (including the system diagrams) to answer the following. (a) Determine the velocity of block A and B immediately after A hits B. (b) Determine the impulse exerted by block A on block B during the impact. (c) Determine the time required for the velocity of the blocks to drop to 1 m/s after the impact. (d) Determine the distance traveled by the blocks during this time interval.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

Problem 13.1
Blocks A and B are identical, and each have a mass of 10 kg. Block B is at rest when it is hit by block A
which is moving with velocity VA = 6 m/s just before impact. Blocks A and B stick together after the
impact. You may neglect friction during the impact.
After the impact, the velocity of blocks A and B decreases due to friction. The coefficient of kinetic
friction between all surfaces is μ = 0.20. Use conservation principles (including the system diagrams) to
answer the following.
(a) Determine the velocity of block A and B immediately after A hits B.
(b) Determine the impulse exerted by block A on block B during the impact.
(c) Determine the time required for the velocity of the blocks to drop to 1 m/s after the impact.
(d) Determine the distance traveled by the blocks during this time interval.
Before the impact
VA = 6 m/s
B
After the impact, blocks A and
B travel together.
A
B
(a) 1 m/s<V <5 m/s; (b) 20 N-s < Impulse < 50 N-s; (c) 0.5 sec < t < 1.5 sec; (d) 1.5 m < x < 2.5 m

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