- same direction. Physics
The work done by the gravitational force is negative, as the force and displacement are in opposite directions.
Question 4: A box of mass 1 kg is pulled on a horizontal surface of length 1 meter by a force of 8 newtons. It is then raised vertically to a height of 2 meters at a constant speed. What is the net work done?
Solution:
The work done on the horizontal surface is given by:
Work done = Force x Displacement x cos(theta)
= 8 newtons x 1 meter x cos(0 degrees)
= 8 joules
The work done in raising the box vertically is given by:
Work done = Force x Displacement x cos(theta)
= 1 kg x 9.8 m/s^2 x 2 meters x cos(180 degrees)
= -19.6 joules
The net work done is the sum of the work done on the horizontal surface and the work done in raising the box vertically:
Net work done = 8 joules + (-19.6 joules) = -11.6 joules
- same direction. Physics
The work done by the gravitational force is negative, as the force and displacement are in opposite directions.
Question 4: A box of mass 1 kg is pulled on a horizontal surface of length 1 meter by a force of 8 newtons. It is then raised vertically to a height of 2 meters at a constant speed. What is the net work done?
Solution:
The work done on the horizontal surface is given by:
Work done = Force x Displacement x cos(theta)
= 8 newtons x 1 meter x cos(0 degrees)
= 8 joules
The work done in raising the box vertically is given by:
Work done = Force x Displacement x cos(theta)
= 1 kg x 9.8 m/s^2 x 2 meters x cos(180 degrees)
= -19.6 joules
The net work done is the sum of the work done on the horizontal surface and the work done in raising the box vertically:
Net work done = 8 joules + (-19.6 joules) = -11.6 joules