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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To find the gravitational force on the Moon, we can use the formula:
Fg = m x g
where Fg is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity.
We know that the gravitational force on Earth is 1,607.2 N. We can rearrange the formula to solve for the mass:
m = Fg / g
On Earth:
m = 1,607.2 N / 9.8 m/s^2
m = 163.9 kg
Now we can use the same formula to find the gravitational force on the Moon:
Fg = m x g
Fg = 163.9 kg x 1.62 m/s^2
Fg = 265.2 N
Therefore, the gravitational force of the lunar rover on the Moon is 265.2 Newtons.
To calculate the gravitational force of the lunar rover on the Moon, we can use Newton's law of universal gravitation:
F = m * g
where F is the gravitational force, m is the mass of the object, 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 (g) is 9.8 m/s^2, we can rearrange the formula to solve for the mass (m) of the lunar rover:
m = F / g
m = 1,607.2 N / 9.8 m/s^2
m ≈ 164.2857 kg
Now, to find the gravitational force of the lunar rover on the Moon, we can use the same formula with the acceleration due to gravity on the Moon (g = 1.62 m/s^2) and the mass (m) we just calculated:
F = m * g
F = 164.2857 kg * 1.62 m/s^2
F ≈ 266.1661 N
Therefore, the lunar rover's gravitational force on the Moon would be approximately 266.1661 Newtons.
To find the rover's gravitational force on the Moon, we can use the concept of gravitational force being proportional to the acceleration due to gravity.
First, let's find the ratio of the acceleration due to gravity on the Moon (g_moon) to the acceleration due to gravity on Earth (g_earth):
g_moon = 1.62 m/s^2
g_earth = 9.8 m/s^2
Ratio: g_moon / g_earth = 1.62 / 9.8
Next, we can use this ratio to find the gravitational force on the Moon (F_moon) using the force on Earth (F_earth) as a reference:
Given: F_earth = 1607.2 N
F_moon = F_earth * (g_moon / g_earth)
Now, let's substitute in the values we have:
F_moon = 1607.2 * (1.62 / 9.8)
Calculating this expression, we find that the gravitational force of the lunar rover on the Moon will be approximately 265.11 Newtons.