A sand dropper drops sand of mass m ( t ) on a conveyer belt at a rate proportional to the square root of speed ( v ) of the belt, i.e. dt dm ∝ v . If P is the power delivered to run the belt at c

Question

A sand dropper drops sand of mass m ( t ) on a conveyer belt at a rate proportional to the square root of speed ( v ) of the belt, i.e. dt dm ​ ∝ v ​ . If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

TestHub · Accepted Answer

Power = F ⋅ V and F = d t d p ​ = Rate of change of linear momentum F = V ⋅ d t d m ​ = K 1 ​ V 2 3 ​ , K is constant Power ( P ) = ( K V 2 3 ​ ) ⋅ ( V ) = K V 2 5 ​ So, P 2 ∝ V 5

Physics - Work Power & Energy Question with Solution | TestHub

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