SATHEE: Work Power and Energy 3 Question 3

Work Power and Energy 3 Question 3

3. The speed of the block when it reaches the point $Q$ is

(a) $5 m s^{- 1}$

(b) $10 m s^{- 1}$

(d) $20 m s^{- 1}$

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Answer:

Correct Answer: 3. (b)

Solution:

Height fallen up to point $Q$

$h = R \sin 30^{\circ} = 40 \times \frac{1}{2} = 20 m$

Work done against friction =Initial mechanical energy

-Final mechanical energy

$= m g h - \frac{1}{2} m v^{2}$

Putting the values, we get

$150 = 1 \times 10 \times 20 - \frac{1}{2} \times 1 \times v^{2} \Rightarrow v = 10 m / s$

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Work Power and Energy 3 Question 3

3. The speed of the block when it reaches the point Q is

Answer:

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3. The speed of the block when it reaches the point $Q$ is