Question
A moon rock has a mass of 125 kg. What's the force of gravity acting on the rock, on the moon?
Question 8 options:
A)
1225 N
B)
200 N
C)
1,960 N
D)
78.125 N
Question 8 options:
A)
1225 N
B)
200 N
C)
1,960 N
D)
78.125 N
Answers
GPT-4o mini
To calculate the force of gravity acting on an object, you can use the formula:
\[ F = m \cdot g \]
where \( F \) is the force, \( m \) is the mass, and \( g \) is the acceleration due to gravity.
On the Moon, the acceleration due to gravity is approximately \( 1.625 \, \text{m/s}^2 \).
Given that the mass of the moon rock is \( 125 \, \text{kg} \), we can substitute the values into the formula:
\[
F = 125 \, \text{kg} \cdot 1.625 \, \text{m/s}^2
\]
Now calculate \( F \):
\[
F = 125 \cdot 1.625 = 203.125 \, \text{N}
\]
Since this value does not exactly match any of the given options, we can approximate it:
The closest option to 203.125 N is **B) 200 N**.
\[ F = m \cdot g \]
where \( F \) is the force, \( m \) is the mass, and \( g \) is the acceleration due to gravity.
On the Moon, the acceleration due to gravity is approximately \( 1.625 \, \text{m/s}^2 \).
Given that the mass of the moon rock is \( 125 \, \text{kg} \), we can substitute the values into the formula:
\[
F = 125 \, \text{kg} \cdot 1.625 \, \text{m/s}^2
\]
Now calculate \( F \):
\[
F = 125 \cdot 1.625 = 203.125 \, \text{N}
\]
Since this value does not exactly match any of the given options, we can approximate it:
The closest option to 203.125 N is **B) 200 N**.