High School

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

A. 14 N
B. 139 N
C. 1333 N
D. [tex]13,328 \, \text{N}[/tex]

Answer :

To find the weight of the car on Earth, we use the formula:

[tex]\[ \text{Weight} = \text{Mass} \times \text{Gravitational Acceleration} \][/tex]

Here's how you calculate it step-by-step:

1. Identify the mass of the car: The mass given is 1360 kilograms (kg).

2. Identify the gravitational acceleration on Earth: It is given as [tex]\(9.8 \, \text{m/s}^2\)[/tex].

3. Apply the formula: Multiply the mass of the car by the gravitational acceleration to find the weight.

[tex]\[
\text{Weight} = 1360 \, \text{kg} \times 9.8 \, \text{m/s}^2
\][/tex]

4. Calculate the result:

[tex]\[
\text{Weight} = 13328 \, \text{N}
\][/tex]

So, the weight of the car on Earth, rounded to the nearest whole number, is [tex]\(13328 \, \text{N}\)[/tex].

Thus, the correct answer is [tex]\(\boxed{13328 \, \text{N}}\)[/tex].