Solve the following :
Question:

A scooter company gives the following specifications about its product.

Weight of the scooter $-95 \mathrm{~kg}$

Maximum speed – $60 \mathrm{~km} / \mathrm{h}$

Maximum engine power – $3.5 \mathrm{hp}$

Pick up time to get the maximum speed $-5 \mathrm{~s}$

Check the validity of these specifications.

Solution:

Max. acceleration,

$a=\frac{v-u}{t}$

$a=(50 / 3-0) / 5=3.33 \mathrm{~m} / \mathrm{s}^{2}$

Force

$\mathrm{F}=\mathrm{ma}=95 \times 3.33$

$F=316.6 \mathrm{~N}$

Velocity

$\mathrm{v}=\frac{\stackrel{P}{F}}{F}=(3.5 \times 746) / 316.6$

$\mathrm{v}=8.2 \mathrm{~m} / \mathrm{s}$