Work Energy And Power Question 207

Question: 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

Options:

A) 1.7 m/s

B) 17 m/s

C) 27 m/s

D) 34 m/s

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ W _{gravity}+W _{F}=\Delta K $

$ -10\times g( 10-10cos60{}^\circ )+200\times 10sin60{}^\circ $

$ =\frac{1}{2}\times 10\times v_f^{2}-0~\therefore v _{f}=17m/s $



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