College

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

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

Answer :

To find the force of gravity acting on an object on Earth, we 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 (in kilograms),
- [tex]\( g \)[/tex] is the acceleration due to gravity (approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex] on Earth).

Now, let's calculate it step-by-step:

1. Identify the given values:
- The mass of the object ([tex]\( m \)[/tex]) is 20 kg.
- The acceleration due to gravity ([tex]\( g \)[/tex]) is [tex]\( 9.8 \, \text{m/s}^2 \)[/tex].

2. Use the formula to calculate the force:
- Substitute the given values into the formula:
[tex]\[ F = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 \][/tex]

3. Calculate:
- [tex]\( F = 196 \, \text{N} \)[/tex]

Therefore, the force of gravity acting on the object is [tex]\( 196 \, \text{N} \)[/tex].

The correct answer is D. 196 N.