Question

A block of mass m begins to slide down an inclined surface with a certain initial velocity v. A force F acts on the block which displaces it by distance s. The angle between the force and displacement is 30 degrees. From the data given, find out work done is independent of which of the following factors?

Answer 1

Answer:

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Answer 2

Answer:

The work done by the force F is independent of the mass m, initial velocity v, and angle between the force and displacement.

Explanation:

From the above question,

They have given :

When block is coming down the plane, it has constant velocity which means total force on it is balanced.

      μmgcosθ = mgsinθ

When it is projected up the plane net force acting downwards

     ma = −μmgcosθ − mgsinθ

Total downward acceleration using equation

     a = −gsinθ − gsinθ

       = −2 gsinθ

     $v_{2}$ − $u_{2}$= 2as

    0 − $u_{2}$ = 2 × (−2gsinθ)×S

     S = 4gsinθ $u_{2}$

The work done by a force is given by the equation,

                            W = Fs,

where

F is the force,

s is the displacement, and

W is the work done.

Therefore, the work done by the force F is independent of the mass m, initial velocity v, and angle between the force and displacement.

The work done by the force F is independent of the mass m, initial velocity v, and angle between the force and displacement.

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