1. Work Done
* Formula: Work (W) = Force (F) × Distance (d)
* We need to find the distance:
* We know the mass (m) = 105 kg, time (t) = 3.8 s, and force (F) = 310 N.
* We can assume the mass starts from rest and use the following kinematic equation:
d = (1/2) * a * t²
* We need acceleration (a) first:
* a = F / m = 310 N / 105 kg ≈ 2.95 m/s²
* Now we can calculate the distance:
* d = (1/2) * 2.95 m/s² * (3.8 s)² ≈ 21.2 m
* Calculate the work:
* W = 310 N * 21.2 m ≈ 6572 J
2. Power
* Formula: Power (P) = Work (W) / Time (t)
* Calculate the power:
* P = 6572 J / 3.8 s ≈ 1730 W
* Convert to kilowatts:
* P = 1730 W / 1000 W/kW ≈ 1.73 kW
Therefore:
* The work done on the mass is approximately 6572 Joules (J).
* The power delivered is approximately 1.73 kilowatts (kW).
