A 100 kg box is at rest before a student pushes it across the floor at a velocity of 3 m/s. Calculate the work being transferred onto the box by the student.(1 point) Responses 450 J 450 J 33.33 J 33.33 J 300 J 300 J 150
The work done on an object can be calculated using the formula:
Work = Force x Distance x cos(theta)
Since the box is being pushed in the same direction as the force, the angle (theta) between the force and the displacement is 0°, so cos(theta) = 1.
The force required to push the box can be calculated using Newton's second law: Force = mass x acceleration. Here, the mass of the box is 100 kg and the acceleration is the change in velocity divided by time, which is (3 m/s - 0 m/s) / 1 s = 3 m/s^2.
Therefore, the force required is Force = 100 kg x 3 m/s^2 = 300 N.
Now we can calculate the work transferred onto the box:
Work = 300 N x Distance x cos(0°)
Since the box is being pushed across the floor, the distance traveled is relevant for the work calculation. If we assume the box is pushed for a distance of 1 meter, then:
Work = 300 N x 1 m x cos(0°) = 300 J
Therefore, the work being transferred onto the box by the student is 300 J.