High School

If an object has a mass of 1360 kg, what is its weight in newtons?

A. 14 N
B. 139 N
C. 1333 N
D. 13,328 N

Answer :

Sure! Let's solve the problem step by step:

1. Understand the Problem: We need to find the weight (force) of an object that has a mass of 1360 kg. The weight is usually measured in newtons (N).

2. Know the Formula: The weight of an object can be calculated using the formula:

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

Here, "Gravity" is the acceleration due to gravity, which on Earth is approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex].

3. Plug in the Values: We are given:
- Mass [tex]\( = 1360 \, \text{kg}\)[/tex]
- Gravity [tex]\( = 9.8 \, \text{m/s}^2\)[/tex]

Substituting these into the formula, we get:

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

4. Calculate: Performing the multiplication:

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

5. Match with Given Choices: Among the given choices, the weight we calculated [tex]\(13328 \, \text{N}\)[/tex] corresponds to the choice [tex]\(13,328 \, \text{N}\)[/tex]. Note that it's expressed with a comma for readability purposes.

Therefore, the weight of the object is 13,328 N.