College

A man weighs 645 N on Earth. What is his mass?

A. 6320 kg
B. 9.80 kg
C. 145 kg
D. 65.8 kg

Answer :

To find the mass of a man who weighs 645 N on Earth, we need to use the formula that relates weight and mass:

[tex]\[ \text{Weight} = \text{Mass} \times \text{Acceleration due to gravity} \][/tex]

On Earth, the acceleration due to gravity is approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex].

Given:
- Weight = 645 N
- Acceleration due to gravity = 9.8 m/s²

We need to find the mass. Rearrange the formula to solve for mass:

[tex]\[ \text{Mass} = \frac{\text{Weight}}{\text{Acceleration due to gravity}} \][/tex]

Substitute the values into the formula:

[tex]\[ \text{Mass} = \frac{645 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]

After performing the division, we find:

[tex]\[ \text{Mass} \approx 65.8 \, \text{kg} \][/tex]

So, the man's mass is approximately 65.8 kg.