To calculate the mass of an object that weighs 196 newtons (N) on Earth, you can use the relationship between weight, mass, and gravitational acceleration. The weight ([tex]\( W \)[/tex]) of an object is given by the formula:
[tex]\[ W = m \times g \][/tex]
where:
- [tex]\( W \)[/tex] is the weight of the object,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity.
On Earth, the acceleration due to gravity ([tex]\( g \)[/tex]) is approximately 9.8 meters per second squared (m/s²).
Given:
- [tex]\( W = 196 \)[/tex] N,
- [tex]\( g = 9.8 \)[/tex] m/s².
We need to find the mass ([tex]\( m \)[/tex]) of the object. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{W}{g} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{196 \, \text{N}}{9.8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 20 \, \text{kg} \][/tex]
Therefore, the mass of the object is 20 kilograms (kg).
