Question

Calculate the work done in pulling an object with a constant force Fas shown in figure, so that the block moves
with a constant velocity through a distance d. (given that the ground is rough with coefficient of friction u)​

Answer 1

Hey Dear,

You forgot to post the required image. But don't worry, I found the referred image on internet and will post here.

◆ Answer -

Work = μmgdcosθ / (cosθ + μsinθ)

◆ Explaination -

For the inclined motion of the block, normal reaction is given as

μN = Fcosθ

N = Fcosθ/μ

Now, weight of the block will balance normal reaction and vertical force.

W = N + Fsinθ

mg = Fcosθ/μ + Fsinθ

mg = F (cosθ/μ + sinθ)

F = mg / (cosθ/μ + sinθ)

F = μmg / (cosθ + μsinθ)

Now work done during this motion is -

Work = F.d

Work = Fdcosθ

Work = μmgdcosθ / (cosθ + μsinθ)

Best luck dear. Hope this helps you...