High School

Your friends sit in a sled in the snow. If you apply a force of 120 N to them, they have an acceleration of [tex]$1.3 \, \text{m/s}^2$[/tex]. What is their mass?

A. 156 kg
B. 92 kg
C. 83 kg
D. 52 kg

Answer :

To find the mass of your friends sitting in the sled, we can use Newton's second law of motion, which states:

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

We can rearrange this formula to solve for mass:

[tex]\[ \text{Mass} = \frac{\text{Force}}{\text{Acceleration}} \][/tex]

In this problem, you are given:

- Force = 120 N (Newtons)
- Acceleration = [tex]\(1.3 \, \text{m/s}^2\)[/tex]

Now, plug in the values into the formula:

[tex]\[ \text{Mass} = \frac{120 \, \text{N}}{1.3 \, \text{m/s}^2} \][/tex]

When you calculate this, you will find that the mass is approximately:

[tex]\[ \text{Mass} \approx 92.31 \][/tex]

So, the nearest whole number for the mass is approximately 92 kg. From the given options, the correct mass is:

B. 92 kg