High School

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. 32.67 N
C. 196 N
D. 2.04 kg

Answer :

To find the force of gravity acting on an object, you can use the formula:

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

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

Now, let's apply this formula step-by-step:

1. Identify the given values:
- Mass ([tex]\( m \)[/tex]) of the object = 20 kg
- Acceleration due to gravity ([tex]\( g \)[/tex]) = 9.8 m/s²

2. Substitute these values into the formula:
[tex]\[ F = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 \][/tex]

3. Calculate the force of gravity:
[tex]\[ F = 196 \, \text{N} \][/tex]

Therefore, the force of gravity acting on a 20 kg object on Earth is 196 Newtons. Thus, the correct answer is option C. 196 N.