A box with a mass of 2 kg is lifted (without acceleration) through a height of 8.0 m in order to place it upon the shelf of a closet.
(a) What is the increase in potential energy of the box?
1 . J
(b) How much work was required to lift the box to this position?
2 J
To find the increase in potential energy of the box, we'll use the formula:
Potential energy = mass * gravitational acceleration * height
Where:
- mass is the mass of the box (2 kg)
- gravitational acceleration is the acceleration due to gravity (approximately 9.8 m/s^2)
- height is the height the box was lifted (8.0 m)
(a) Increase in potential energy of the box:
Potential energy = 2 kg * 9.8 m/s^2 * 8.0 m
Plugging in the values and solving the equation:
Potential energy = 156.8 J
Therefore, the increase in potential energy of the box is 156.8 J.
(b) To find the work required to lift the box to this position, we can use the same formula for potential energy:
Work = Potential energy = 156.8 J
Therefore, the work required to lift the box to this position is 156.8 J.
4
8
2j
1j
M*g*H to both questions.
You should make an effort to answer these problems by yourself.