Answer :
Certainly! To find the mass of an object experiencing a gravitational force of 669 N near Earth's surface, we need to use the formula that relates force, mass, and acceleration:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the gravitational force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration due to gravity.
On Earth, the acceleration due to gravity ([tex]\( a \)[/tex]) is approximately [tex]\( 9.8 \)[/tex] meters per second squared ([tex]\( \text{m/s}^2 \)[/tex]).
Given:
- Gravitational force ([tex]\( F \)[/tex]) = 669 N,
- Gravitational acceleration ([tex]\( a \)[/tex]) = 9.8 [tex]\(\text{m/s}^2\)[/tex].
We need to solve for the mass ([tex]\( m \)[/tex]), so we rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Substituting the known values into the formula:
[tex]\[ m = \frac{669 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]
When you do this calculation, you'll find that:
[tex]\[ m \approx 68.265 \, \text{kg} \][/tex]
Therefore, the mass of the object is approximately [tex]\( 68.3 \, \text{kg} \)[/tex].
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the gravitational force,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration due to gravity.
On Earth, the acceleration due to gravity ([tex]\( a \)[/tex]) is approximately [tex]\( 9.8 \)[/tex] meters per second squared ([tex]\( \text{m/s}^2 \)[/tex]).
Given:
- Gravitational force ([tex]\( F \)[/tex]) = 669 N,
- Gravitational acceleration ([tex]\( a \)[/tex]) = 9.8 [tex]\(\text{m/s}^2\)[/tex].
We need to solve for the mass ([tex]\( m \)[/tex]), so we rearrange the formula to:
[tex]\[ m = \frac{F}{a} \][/tex]
Substituting the known values into the formula:
[tex]\[ m = \frac{669 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]
When you do this calculation, you'll find that:
[tex]\[ m \approx 68.265 \, \text{kg} \][/tex]
Therefore, the mass of the object is approximately [tex]\( 68.3 \, \text{kg} \)[/tex].
