Verified answer

Answer:

False.

The statement is false. In physics, the work done on an object is defined as the product of the force applied to the object and the distance over which the force is applied, while taking into account the angle between the force and the direction of motion. The formula for calculating work done (W) is:

W = F * d * cos(θ)

Where:

W is the work done

F is the magnitude of the force applied

d is the distance over which the force is applied

θ is the angle between the force and the direction of motion

If two similar objects are moved through different distances in the same direction, the work done on each object will not necessarily be the same unless the force applied to both objects is also the same, and the angle θ is the same for both cases.

So, if the force and the angle are the same, then yes, the same amount of work will be done in both cases. However, if either the force or the angle is different between the two cases, the amount of work done will be different.