College

The gravitational acceleration on Earth is [tex]$9.8 \, m/s^2$[/tex]. What is the weight of a car on Earth (to the nearest whole number) if it has a mass of 1360 kg?

A. 139 N
B. 1333 N
C. [tex]$13,328 N$[/tex]

Answer :

Sure, let's go through the steps to determine the weight of the car on Earth.

1. Identify the mass of the car:
- The mass of the car is given as [tex]\(1360 \text{ kg}\)[/tex].

2. Determine the gravitational acceleration:
- The gravitational acceleration on Earth is [tex]\(9.8 \text{ m/s}^2\)[/tex].

3. Use the formula for weight:
- Weight ([tex]\(W\)[/tex]) is calculated using the formula:
[tex]\[
W = m \times g
\][/tex]
where [tex]\(W\)[/tex] is the weight, [tex]\(m\)[/tex] is the mass, and [tex]\(g\)[/tex] is the gravitational acceleration.

4. Plug the given values into the formula:
- [tex]\(m = 1360 \text{ kg}\)[/tex]
- [tex]\(g = 9.8 \text{ m/s}^2\)[/tex]
[tex]\[
W = 1360 \text{ kg} \times 9.8 \text{ m/s}^2
\][/tex]

5. Calculate the weight:
- Performing the multiplication:
[tex]\[
W = 13328 \text{ N}
\][/tex]

6. Round to the nearest whole number:
- The calculated weight is already a whole number, [tex]\(13328 \text{ N}\)[/tex].

Therefore, the weight of the car on Earth is [tex]\(13,328 \text{ N}\)[/tex]. So, the correct answer is:

[tex]\[ \boxed{13,328 \, \text{N}} \][/tex]