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.
[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.