Step 1: Identify the given information The problem provides the following information:
- A boy with a mass of 48.0 kg rides a skateboard with a mass of 3.00 kg on a horizontal road.
- At the top of an incline, his velocity is 1.30 m/s.
- He rides down the incline and reaches the bottom with a velocity of 3.40 m/s.
- The difference in height between the top and bottom of the incline is 0.540 m.
Step 2: Calculate the average resistive force while the boy rode down the incline Using the given information, we can calculate the average resistive force using the formula:
Average resistive force = (Change in kinetic energy) / (Distance traveled)
The change in kinetic energy = Kinetic energy at the bottom - Kinetic energy at the top
= 0.5 x (48.0 +3.00) × (3.40)^2 - 0.5 × (48.0 + 3.00) × (1.30)^2 174.12 J-66.69
=107.43 J
The distance traveled is the length of the incline, which is 38.0 m.
Average resistive force = 107.43 J / 38.0 m = 2.83 N
Final Answer
The average resistive force while the boy rode down the incline is 2.83 Ν.
