The gravitational force of a lunar rover is 1,607.2 Newtons on Earth. What will the rover’s gravitational force be on the Moon?
On Earth, g = 9.8m/s2.
On the Moon, g = 1.62 m/s2
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(1 point)
The rover’s gravitational force on the Moon will be:
F = mg
F = 1607.2 N x (1.62 m/s2 / 9.8 m/s2)
F = 266.835 N
Therefore, the rover’s gravitational force on the Moon will be approximately 266.835 Newtons.
To find the gravitational force of the lunar rover on the Moon, we can use the formula:
F = m * g
where F is the gravitational force, m is the mass of the rover, and g is the acceleration due to gravity.
Given that the gravitational force of the lunar rover on Earth is 1,607.2 Newtons and the acceleration due to gravity on Earth is 9.8 m/s^2, we can rearrange the formula to find the mass of the rover:
m = F / g
m = 1607.2 N / 9.8 m/s^2
m ≈ 163.9 kg
Now we can calculate the gravitational force on the Moon using the mass and the acceleration due to gravity on the Moon:
F = m * g
F = 163.9 kg * 1.62 m/s^2
F ≈ 265.4 N
Therefore, the rover's gravitational force on the Moon will be approximately 265.4 Newtons.