Question

A 50 kg person weighs 100N on the moon. Find the acceleration of gravity on the moon.

a) 1.0m/s
b)5.0m/s
c) 10.0m/s
d) 2.0m/s

Answer 1

A 50 kg person weighs 100N on the moon. The acceleration of gravity on the moon is d) 2.0 m/s².. (Option d)

Step-by-step explanation:

The weight of an object is given by the formula:

`\[ \text{Weight} = \text{Mass} * \text{Acceleration due to Gravity} \]`

Given that the person's weight on the moon is 100 N and the mass is 50 kg, we can rearrange the formula to find the acceleration due to gravity on the moon.

`\[ \text{Acceleration due to Gravity on the Moon} = \frac{\text{Weight on the Moon}}{\text{Mass}} \]`

Substituting the values:

`\[ \text{Acceleration due to Gravity on the Moon} = \frac{100 \, \text{N}}{50 \, \text{kg}} = 2 \, \text{m/s}^2 \]`

Therefore, the acceleration of gravity on the moon is 2.0 m/s².

The discrepancy between the calculated value and the provided answer options suggests an error in the choices given. The correct answer, based on the calculation, is 2.0 m/s², not among the options provided. It's essential to recognize such discrepancies and prioritize the accuracy of the calculated result. (Option d)