Final answer:
Using Newton's second law, F = ma, the combined mass of the sled and boy is calculated by dividing the net force (345 N) by the acceleration (3.2 m/s²), resulting in a mass of 107.8125 kg.
Step-by-step explanation:
The question asks us to calculate the combined mass of a boy and his sled, given that they are accelerated by a net force of 345 N at an acceleration of 3.2 m/s2.
To find the mass, we use Newton's second law of motion, which is F = ma, where F is the net force, m is the mass, and a is the acceleration. Rearranging this formula to solve for m, we get m = F/a.
Substituting the given values, we have:
- Net force (F) = 345 N
- Acceleration (a) = 3.2 m/s2
Thus, the combined mass (m) = 345 N / 3.2 m/s2 = 107.8125 kg.
The combined mass of the sled and boy is therefore 107.8125 kg.