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 ).


 

Dear Student
Kindly find the answer of your asked query.

Work against the gravitatioanl force w1= mgh here heigh h will be equal to the top surface of the hemisphere which is equal to R.w1 = mgRfirctional force will be = μ×normal reaction= μmgwork done by the frictional force = w2= μmgRtotal work done = W = W1+w2= mgR+μmgR=(1+μ)mgR

Hope this information will clear your doubt about work.
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