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Question: A pendulum of length 200 cm is horizontal when its bob of mass 200 gm is released. It has 90% of ini...

A pendulum of length 200 cm is horizontal when its bob of mass 200 gm is released. It has 90% of initial energy when the bob reaches the lower most point. Speed of the bob at this point is –

A

8 m/s

B

4.5 m/s

C

5 m/s

D

6 m/s

Answer

6 m/s

Explanation

Solution

v = 2gh\sqrt{2gh} when 100% energy gets converted.

But here 12\frac{1}{2} mv2 = 0.9 mgh

i.e. v = 1.8gh\sqrt{1.8gh} Ž v = 1.8×10×2\sqrt{1.8 \times 10 \times 2} = 6 m/s