A man is rowing upstream and is at rest w.r.t. shore. Is he doing work w.r.t. shore?

The man is doing zero work because he is at rest w.r.t. shore. Hence, displacement is zero.

Therefore work done by the man is zero.
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What is the dimensional formula of power?

[M1L2T–3] is the dimensional formula of power. 

Power = Work over time space equals space fraction numerator M to the power of 1 L squared T to the power of negative 2 end exponent over denominator T to the power of 1 end fraction space equals space left square bracket space M to the power of 1 L squared T to the power of negative 3 end exponent right square bracket
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Is frictional force conservative?

Friction is a non-conservation force because work done by friction over closed path is not equal to zero. 
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Does the body at rest possess energy?


A body at rest possess potential energy. 

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By eating two apples, a person starts pushing the wall of room. If food value of apple is 100 calories per apple, how much work he will do in pushing the wall in one hour?


Zero, because the displacement of the wall will be zero.
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