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A block of mass m = 11. 7 kg is to be pushed a distance of s = 4.65 m along an incline and raised to a distance of h = 2.86 m. Assuming frictionless surface, calculate the work done in applying a force parallel to the incline to push the block up at a constant speed. (Take, g = 9.8 ms-2)

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a

328 J

b

656J

c

164 J

d

530 J

answer is A.

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Detailed Solution

Given, m=11.7 kg,s=4.65 m,h=2.86 mFrom the figure, sinθ=hs=2.864.65=0.615Also, component of mg along the incline is mg sin θ.∴Work done by this force = mg sin θ· s= 11.7 x 9.8 x 0.615 x 4.65= 11.7 x 9.8 x 2.86 = 327.9 ≃ 328J

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A block of mass m = 11. 7 kg is to be pushed a distance of s = 4.65 m along an incline and raised to a distance of h = 2.86 m. Assuming frictionless surface, calculate the work done in applying a force parallel to the incline to push the block up at a constant speed. (Take, g = 9.8 ms-2)