Which has more potential energy: a 1.0 kg ball at a height of 10 m, or a 10 kg ball at a height of
1.0 m? Show all work.
Your questions are all the same
U = m g h
m in Kg
g in m/s^2 about 9.81 on earth
h in meters
---> U = potential energy in Joules
To determine which object has more potential energy, we need to calculate the potential energy of each object using the formula:
Potential energy = mass * gravity * height
For the first object, a 1.0 kg ball at a height of 10 m:
Potential energy = 1.0 kg * 9.8 m/s^2 * 10 m
= 98 J
For the second object, a 10 kg ball at a height of 1.0 m:
Potential energy = 10 kg * 9.8 m/s^2 * 1.0 m
= 98 J
Therefore, both objects have the same potential energy of 98 Joules.
To compare the potential energy of two objects at different heights, we need to use the formula for potential energy:
Potential energy = mass * gravity * height
Given that the mass of the first ball is 1.0 kg and its height is 10 m, we can calculate its potential energy:
Potential energy of the first ball = 1.0 kg * 9.8 m/s^2 * 10 m
= 98 J
Now let's calculate the potential energy of the second ball. The mass of the second ball is 10 kg, and its height is 1.0 m:
Potential energy of the second ball = 10 kg * 9.8 m/s^2 * 1.0 m
= 98 J
Therefore, both balls have the same potential energy of 98 joules.
Yes --- you should show all YOUR work.
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