A body, acted upon by a force of 50N is displayed through a distance 10m in a direction making an angle of 60degree with the force . Find the work done by the force?

Question

Answer

Calculation of Work Done by a Force

Given, force (F) = 50N, distance (d) = 10m, and angle between force and direction (θ) = 60°

Calculation of Work Done

The work done by a force is given by the formula:

Work (W) = Force (F) x Distance (d) x cos(θ)

Substituting the given values:

W = 50N x 10m x cos(60°)

W = 500J x 0.5

W = 250J

Explanation

When a force acts on a body, and the body moves in the direction of the force, work is done. The work done is equal to the product of the force and the distance moved in the direction of the force. However, if the force is acting at an angle to the direction of motion, then only the component of the force acting in the direction of motion does work. This component is given by the formula:

F cos(θ)

Where F is the force and θ is the angle between the force and the direction of motion. Thus, the work done is given by:

W = F cos(θ) x d

where d is the distance moved in the direction of motion.

In this problem, the force is acting at an angle of 60° to the direction of motion. Therefore, only the component of the force acting in the direction of motion is doing work. This component is given by:

F cos(60°) = 50N x cos(60°) = 25N

The work done is therefore:

W = F cos(60°) x d = 25N x 10m = 250J

Thus, the work done by the force is 250J.

Answer

Force applied is equals to 50
displacement is equals to 10
angle between force and displacement 60
work =force .displacement
=force * displacement *cos theta
=50*10*1/2
=250J

Answer

Use W=F. S=F S COS theta
W=50×10×cos60=250j

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