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/s'.
On the Moon, g = 1.62 m/s
(1 point)
• 265.7 N
O 992.1 N
0 2,603.7 N
• 164 N
To find the gravitational force of the lunar rover on the Moon, we can use the formula for gravitational force:
F = m * g
Where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity.
First, let's calculate the mass of the lunar rover. We know that the gravitational force of the rover on Earth is 1,607.2 Newtons. In this case, the gravitational force equals the weight of the rover since weight is defined as the force acting on an object due to gravity. The formula for weight is:
Weight = m * g
Where weight is measured in Newtons, mass is measured in kilograms, and g is the acceleration due to gravity.
We can rearrange the formula to solve for mass:
m = weight / g
On Earth, g is 9.8 m/s². Plugging in the values, we get:
m = 1,607.2 N / 9.8 m/s²
m ≈ 164.18 kg
Now that we have the mass of the rover, we can calculate the gravitational force on the Moon. On the Moon, g is 1.62 m/s². Plugging in the values, we get:
F = m * g
F = 164.18 kg * 1.62 m/s²
F ≈ 265.715 Newtons
Therefore, the rover's gravitational force on the Moon will be approximately 265.7 N.