. Suppose that you push on the 30kg box as shown in figure with a constant force of 100N through a distance of 1.2m, and the average opposing force is SN. Find the velocity of the box
To find the velocity of the box, we can first calculate the work done by the applied force and the work done by the opposing force.
Work done by the applied force:
Work = Force x Distance
Work = 100N x 1.2m
Work = 120 J
Work done by the opposing force is equal in magnitude but opposite in direction to the work done by the applied force, so it is also 120 J.
Next, we can use the work-energy principle to find the velocity of the box:
Work done on the box = Change in kinetic energy
Work done by the applied force - Work done by the opposing force = (1/2)mv^2 - 0
120 J - 120 J = (1/2) x 30 kg x v^2
0 = 15v^2
Solving for v:
v^2 = 0
v = 0 m/s
Therefore, the velocity of the box is 0 m/s. This means that the box comes to a stop after being pushed with a constant force of 100N through a distance of 1.2m against an opposing force of 120N.