A body displaced through a certain distance X by a force of 30n.if the work done is 100j in the direction of the force what is the value of X

To calculate the value of X, we can use the formula for work done:

Work = Force x Distance x cos(theta)

Given that the work done is 100 J and the force is 30 N, we have:

100 = 30 x X x cos(theta)

Since the work is done in the direction of the force, the angle between the force and the displacement (theta) is 0 degrees. Therefore, cos(theta) = cos(0) = 1.

Now we can solve for X:

100 = 30 X x 1
X = 100 / 30
X = 3.33 meters

Therefore, the value of X is 3.33 meters.