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Question

Physics Question on work, energy and power

300J300 \,J of work is done in sliding a 2kg2\, kg block up an inclined plane of height 10m10 \,m. Taking g=10m/s2,g=10\,\,m/{{s}^{2}}, work done against friction is

A

200 J

B

100 J

C

zero

D

1000 J

Answer

100 J

Explanation

Solution

Net work done in sliding a body up to a height hh on inclined plane
== Work done against gravitational force ++ Work done against frictional force
W=Wg+Wf\Rightarrow W=W_{g}+W_{f} \ldots(i)
but W=300JW=300\, J
Wg=mgh=2×10×10=200JW_{g}= m g h=2 \times 10 \times 10=200\, J
Putting in E (i), we get
300=200+Wf300=200+W_{f}
Wf=300200=100J\Rightarrow W_{f}=300-200=100\, J