The weight of a person on earth is 900 N. His weight on the moon will appear as

Options

A. zero
B. 150 N
C. 600 N
D. 5400 N

Answer

To find the weight of a person on the Moon given their weight on Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Weight Formula**:
The weight (W) of an object is given by the formula:
\[ W = m \cdot g \]
where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity.

2. **Identify the Given Information**:
The weight of the person on Earth is given as:
\[ W_e = 900 \, \text{N} \]
The acceleration due to gravity on Earth (\( g_e \)) is approximately \( 9.81 \, \text{m/s}^2 \).

3. **Calculate the Mass of the Person**:
Rearranging the weight formula to find mass:
\[ m = \frac{W_e}{g_e} \]
Substituting the known values:
\[ m = \frac{900 \, \text{N}}{9.81 \, \text{m/s}^2} \approx 91.83 \, \text{kg} \]

4. **Determine the Acceleration Due to Gravity on the Moon**:
The acceleration due to gravity on the Moon (\( g_m \)) is approximately \( \frac{1}{6} \) of that on Earth:
\[ g_m = \frac{g_e}{6} \approx \frac{9.81 \, \text{m/s}^2}{6} \approx 1.635 \, \text{m/s}^2 \]

5. **Calculate the Weight on the Moon**:
Using the weight formula again for the Moon:
\[ W_m = m \cdot g_m \]
Substituting the values we found:
\[ W_m = 91.83 \, \text{kg} \cdot 1.635 \, \text{m/s}^2 \approx 150.0 \, \text{N} \]

6. **Conclusion**:
The weight of the person on the Moon will be approximately:
\[ W_m \approx 150 \, \text{N} \]