Question

A scooter develops a power of 1 HP while running at 36 km h⁻¹. Calculate the force generated by its engine.

[Take 1 HP = 750 watts]

Answer 1

Given:

Power (P) = 1 HP = 750 W

Speed (v) = 36 km h⁻¹

Converting speed into S.I. units (m s⁻¹):

\[ v = 36 \times \frac{5}{18} \]

v = 10 m s⁻¹

Formula: Power (P) = Force (F) × Speed (v)

\[ F = \frac{P}{v} \]

\[ F = \frac{750\ \mathrm{W}}{10\ \mathrm{m\,s^{-1}}} \]

F = 75 N