How far should a 20 N rock be lifted to increase its gravitational potential energy by 1200 J
0.017 m
24,000 m
6.1 m
60 m
To calculate the height the rock needs to be lifted to increase its gravitational potential energy by 1200 J, we can use the formula:
Potential Energy = m * g * h
where:
m = mass of the rock (unknown in this case)
g = acceleration due to gravity (9.81 m/s^2)
h = height the rock needs to be lifted
Given that the rock has a weight of 20 N, we can determine its mass using the formula:
Weight = m * g
20 N = m * 9.81 m/s^2
m = 20 N / 9.81 m/s^2
m ≈ 2.04 kg
Now we can calculate the height (h) needed to increase the gravitational potential energy by 1200 J:
1200 J = 2.04 kg * 9.81 m/s^2 * h
1200 J = 20.02 m/s^2 * h
h = 1200 J / 20.02 m/s^2
h ≈ 60 m
Therefore, the rock needs to be lifted approximately 60 meters to increase its gravitational potential energy by 1200 J. The closest option provided is 60 m.