The work done on an object can be calculated using the formula:
Work = Force x Distance x cos(theta)
where force is the applied force, distance is the distance over which the force is applied, and theta is the angle between the direction of the force and the direction of motion. Since the force and the direction of motion are in the same direction, the angle between them is 0 degrees, and cos(0) = 1, so the formula becomes:
Work = Force x Distance
Given that 100 joules of work are done on an object when a force of 10 N pushes it, we can use the formula to find the distance over which the force is applied:
100 J = 10 N x Distance
Distance = 100 J / (10 N) = 10 meters
Therefore, the object is pushed over a distance of 10 meters.
The power used to do this work can be calculated using the formula:
Power = Work / Time
where work is the amount of work done (in joules) and time is the time taken to do the work (in seconds).
Given that the work done is 100 joules and this is done in 4 seconds, we can calculate the power used as:
Power = 100 J / 4 s = 25 watts
Therefore, the power used to do this work is 25 watts.