Answer :
To find the mass of your friends on the sled, you can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object times its acceleration. The formula is given as:
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied
- [tex]\( m \)[/tex] is the mass
- [tex]\( a \)[/tex] is the acceleration
We need to solve this equation for the mass ([tex]\( m \)[/tex]). Rearranging the equation gives us:
[tex]\[ m = \frac{F}{a} \][/tex]
From the problem, we know that:
- The force applied [tex]\( F \)[/tex] is 120 N (Newtons)
- The acceleration [tex]\( a \)[/tex] is 1.3 m/s²
By substituting these values into the equation, we can find the mass:
[tex]\[ m = \frac{120 \, \text{N}}{1.3 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 92.3076923076923 \, \text{kg} \][/tex]
Since mass is typically expressed as a whole number in these situations, we round the number to the nearest whole number. Therefore, the mass of your friends is approximately 92 kg.
The correct answer is:
A. 92 kg
[tex]\[ F = m \times a \][/tex]
Where:
- [tex]\( F \)[/tex] is the force applied
- [tex]\( m \)[/tex] is the mass
- [tex]\( a \)[/tex] is the acceleration
We need to solve this equation for the mass ([tex]\( m \)[/tex]). Rearranging the equation gives us:
[tex]\[ m = \frac{F}{a} \][/tex]
From the problem, we know that:
- The force applied [tex]\( F \)[/tex] is 120 N (Newtons)
- The acceleration [tex]\( a \)[/tex] is 1.3 m/s²
By substituting these values into the equation, we can find the mass:
[tex]\[ m = \frac{120 \, \text{N}}{1.3 \, \text{m/s}^2} \][/tex]
[tex]\[ m = 92.3076923076923 \, \text{kg} \][/tex]
Since mass is typically expressed as a whole number in these situations, we round the number to the nearest whole number. Therefore, the mass of your friends is approximately 92 kg.
The correct answer is:
A. 92 kg
