To solve for the mass of your friends in the sled, we can use Newton's second law of motion. Newton's second law states that the force acting on an object is equal to the mass of that object multiplied by its acceleration. This relationship can be expressed by the formula:
[tex]\[ F = ma \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied to the object,
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( a \)[/tex] is the acceleration of the object.
Given in the problem:
- The force ([tex]\( F \)[/tex]) applied to the sled is 95 N (newtons),
- The acceleration ([tex]\( a \)[/tex]) of the sled is [tex]\( 0.8 \, \text{m/s}^2 \)[/tex] (meters per second squared).
We need to find the mass ([tex]\( m \)[/tex]) of the sled and the friends. Rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{F}{a} \][/tex]
Substitute the given values into the formula:
[tex]\[ m = \frac{95 \, \text{N}}{0.8 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 118.75 \, \text{kg} \][/tex]
The mass of your friends in the sled is 118.75 kg.
Given the options:
A. 85 kg
B. 76 kg
C. 119 kg
D. 91 kg
The mass that is closest to the calculated value of 118.75 kg is option C. 119 kg.
Therefore, the correct answer is C. 119 kg.
