Your motor bike breaks down 5 km from your home you use 400 N for the entire 60 minutes that it takes you to push this motorbike home how powerful where you how many watts?
To find the power (in watts) exerted while pushing the motorbike, we need to calculate the work done (in joules) and then divide it by the time (in seconds).
Work (W) is given by the formula: W = force (F) × distance (d) cosθ
where θ is the angle between the force and the direction of motion (θ = 0° when pushing in a straight line).
Given:
Force (F) = 400 N
Distance (d) = 5 km = 5000 m (converting km to meters)
Work (W) = F × d × cosθ
= 400 N × 5000 m × cos(0°) (cos 0° = 1, as cos 0° = 1)
= 400 N × 5000 m × 1
= 2,000,000 N·m
Since time (t) is given as 60 minutes, which is equivalent to 60 × 60 = 3600 seconds, we can find power (P) using the formula:
Power (P) = Work (W) / time (t)
= 2,000,000 N·m / 3600 s
≈ 555.56 watts
Therefore, the power exerted while pushing the motorbike home is approximately 555.56 watts.