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A $10 kg$ block is pulled in the $⊥$ vertical plane along a frictionless surface in the form of an arc of a circle of radius $10 m$ . The applied force is of $200 N$ as shown in figure. If the block had started from rest at $A$ , the velocity at $B$ would be ______ $m / s$ .

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14.69

15.69

13.69

16.69

answer is C.

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Detailed Solution

$W_{gravity} + W_{f} = Δ K - 10 \times g (10 - 10 \cos 60 °) + 200 \times 10 \sin 60 ° = \frac{1}{2} \times 10 \times v_{f}^{2} - 0 ∴ v_{f} = 15.69 m s^{- 1}$

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