Question

As shown in the figure a person is pulling a mass 'm' from ground on a fixed rough hemispherical surface upto the top of the hemisphere with the help of a light inextensible string. Find the work done ( in Joules ) by tension in the string if radius of hemisphere is R and friction coefficient is μ. Assume that the block is pulled with negligible velocity ( take μ = 0.1, m = 1 kg, g = 10 m/s2, R = 1 m ).

Answer 1

Answer:

Explanation: Use work energy theorem

$W_{T}+W_{g}+W_{f} =KE_{f}-KE_{i}$

Here, $W_{T}$   work done by tension

        $W_{g}$   work done by gravity

        $W_{f}$     work done by frictional force

         $KE_{f}$  final kinetic energy

           $KE_{f}$  initial kinetic enegy

change in kinetic energy zero.

Proceed as given in attachment