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Question: If a block moving up at \(\theta = 30^{o}\) with a velocity 5 m/s, stops after 0.5 sec, then what is...

If a block moving up at θ=30o\theta = 30^{o} with a velocity 5 m/s, stops after 0.5 sec, then what is μ

A

0.5

B

1.25

C

0.6

D

None of these

Answer

0.6

Explanation

Solution

From v=uatv = u - at ⇒ 0=uat= u - at t=ua\therefore t = \frac{u}{a}

for upward motion on an inclined plane

a=g(sinθ+μcosθ)a = g(\sin\theta + \mu\cos\theta) t=ug(sinθ+μcosθ)\therefore t = \frac{u}{g(\sin\theta + \mu\cos\theta)}

Substituting the value of θ=30o,t=0.5sec\theta = 30^{o},t = 0.5\sec and

u=5m/su = 5m/s, we get μ=0.6\mu = 0.6