A body of mass 5 kg moving with velocity 2 m/s collides with a stationary body of mass 3 kg and sticks to it. Combined velocity is MCQ with Answer and Explanation

A body of mass 5 kg moving with velocity 2 m/s collides with a stationary body of mass 3 kg and sticks to it. Combined velocity is
A. 0.8 m/s
B. 2 m/s
C. 5 m/s
D. 1.25 m/s
Answer: Option D
Solution (By JKSSB Mock Tests)
Momentum before = 5×2=10, after = (5+3)v => v=10/8=1.25 m/s.

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Question #1
A block of mass 'm' is placed on a rough inclined plane of inclination theta. If the block is just on the verge of sliding down, the coefficient of static friction (mu) is equal to:
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Correct Answer: Option A


Explanation:
When the block is on the verge of sliding (limiting friction), the downward component of weight along the plane equals the maximum static friction force. mgsin(theta) = mu * N. The normal reaction N is balanced by the perpendicular component of weight: N = mgcos(theta). Dividing the two equations gives mgsin(theta) / mgcos(theta) = mu, so mu = tan(theta). This angle is called the angle of repose.

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Correct Answer: Option B


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