College

If an object has a mass of 20 kg, what is the force of gravity acting on it on Earth?

A) 1.96 kg
B) 2.04 kg
C) 32.67 N
D) 196 N

Answer :

To determine the force of gravity acting on an object on Earth, we use the formula for gravitational force:

[tex]\[ F = m \cdot g \][/tex]

where:
- [tex]\( F \)[/tex] is the force of gravity,
- [tex]\( m \)[/tex] is the mass of the object, and
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is approximately [tex]\( 9.8 \, m/s^2 \)[/tex] on the surface of the Earth.

Given:
- The mass ([tex]\( m \)[/tex]) of the object is [tex]\( 20 \, kg \)[/tex].
- The acceleration due to gravity ([tex]\( g \)[/tex]) is [tex]\( 9.8 \, m/s^2 \)[/tex].

Substitute these values into the formula:

[tex]\[ F = 20 \, kg \times 9.8 \, m/s^2 \][/tex]

Multiplying these values together:

[tex]\[ F = 196 \, N \][/tex]

Therefore, the force of gravity acting on the object is:

[tex]\[ 196 \, N \][/tex]

Thus, the correct answer is:

D) 196 N