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Q.

An object of mass 10 kg is pushed up from the bottom to the top of a rough inclined plane of height 5m and length 10 m with constant speed. If $μ_{k} = \frac{\sqrt{3}}{2}$ the amount of work done is

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a

125 J

b

250 J

c

1086 J

d

2500 J

answer is C.

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Detailed Solution

Mass = 10 kg
Height = 5 m

Question Image

Workdone $= F \times S$
$= (mgsinθ + μ_{k} mgcosθ)$
$w = 10 \times 9.8 \times \frac{5}{l} \times l + \frac{\sqrt{3}}{2} \times 10 \times 9.8 \times \frac{10}{l} \times l$
$w = 98 \times 5 + 1.732 \times 98 \times 5$
$w = 98 \times 5 (2.1732)$
$w = 1086 J$

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