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On a level road, a scooterist applies brakes to slow down from a speed of $36 km/h$ to $18 km/h$ . The mass of the scooter is 86 kg and mass of the scooterist and petrol is 64 kg. The work done by the brakes is

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detailed solution

Correct option is B

Mass of scooter = 86 kg

Mass of scooterist + Petrol = 86 + 64 = 150 kg

According to work energy theorem

$K . E = \frac{1}{2} m v^{2} - \frac{1}{2} m u^{2}$

$u = 36 km/h$

$=^{2} 36 × \frac{5}{18} = 10 m/s$

$v = 18 km/h$

$= 18 × \frac{5}{18} = 5 m/s$

$= \frac{1}{2} (150) (10^{2} - 5^{2}) = 75 (100 - 25)$

$= 75 \times 75 = 5625 J$

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On a level road, a scooterist applies brakes to slow down from a speed of 36km/h to 18km/h . The mass of the scooter is 86 kg and mass of the scooterist and petrol is 64 kg. The work done by the brakes is