Alright, let's solve this problem step-by-step.
We'll calculate the force of gravity acting on an object with a mass of [tex]\(20 \, \text{kg}\)[/tex] on Earth.
Step 1: Identify the given values:
- Mass ([tex]\(m\)[/tex]) = [tex]\(20 \, \text{kg}\)[/tex]
- Acceleration due to gravity ([tex]\(g\)[/tex]) on Earth = [tex]\(9.8 \, \text{m/s}^2\)[/tex]
Step 2: Use the formula for the force of gravity:
The force of gravity ([tex]\(F\)[/tex]) can be calculated using Newton's second law of motion:
[tex]\[
F = m \times g
\][/tex]
Step 3: Plug in the given values into the formula:
[tex]\[
F = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2
\][/tex]
Step 4: Perform the multiplication:
[tex]\[
F = 196 \, \text{N}
\][/tex]
Step 5: Compare the result with the given multiple choice answers:
A. 1.96 kg \\
B. 196 N \\
C. 32.67 N \\
D. 2.04 kg
The correct answer is [tex]\( \text{B. } 196 \, \text{N} \)[/tex].
Thus, the force of gravity acting on the object is [tex]\(196 \, \text{N}\)[/tex].
