A 1.9 kg ball is attached to a ceiling by a string. The distance from the ceiling to the center of the ball is 1.13 m, and the height of the room is 3.00 m.
(a) What is the gravitational potential energy associated with the ball relative to the ceiling?
J
(b) What is the gravitational potential energy associated with the ball relative to the floor?
J
(c) What is the gravitational potential energy associated with the ball relative to a point at the same elevation as the ball?
J
A is wrong it's actually
M times G times -1.13
uyg
To calculate the gravitational potential energy associated with the ball in each scenario, we can use the formula:
Gravitational Potential Energy (PE) = mass (m) x gravitational acceleration (g) x height (h)
Given:
Mass of the ball (m) = 1.9 kg
Height from the ceiling to the center of the ball (h1) = 1.13 m
Height of the room (h2) = 3.00 m
(a) Gravitational Potential Energy relative to the ceiling:
In this case, the height (h) is equal to the height from the ceiling to the center of the ball (h1).
The gravitational potential energy is given by:
PE = m x g x h1
(b) Gravitational Potential Energy relative to the floor:
In this case, the height (h) is equal to the total height of the room (h2).
The gravitational potential energy is given by:
PE = m x g x h2
(c) Gravitational Potential Energy relative to a point at the same elevation as the ball:
In this case, the height (h) is equal to zero since we are comparing it to a point at the same elevation.
The gravitational potential energy is given by:
PE = m x g x h
To calculate the answers, we need to know the value of the gravitational acceleration (g), which is approximately 9.8 m/s^2. Now we can substitute the given values into the formula to find the answers.
(a) PE= mgx=1.9•9.8•(1.13-3)= - …
(b) PE =mgh=1.9•9.8•(3-1.13)= + …
(c) ΔPE=0