Question

A 200 kg vehicle at rest attains a speed of 15 ms in a distance of 50 metres. Calculate
(i) its acceleration, (ii) the unbalanced force acting on the vehicle.
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Answer 1

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Mass (m) = 200 kg

u = 0 m/s

v = 15 m/s

s = 500 m

$2as = {v}^{2} - {u}^{2}$

$a = \frac{ {v}^{2} - {u}^{2} }{2s}$

$= \frac{ {15}^{2} - 0}{2 \times 500}$

$= \frac{225}{1000}$

$= 0.225 \: \frac{m}{ {s}^{2} }$

F = ma

= 0.225 × 200 N

= 45 N