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Question

Physics Question on laws of motion

A scooter of mass 120 kg is moving with a uniform velocity of 108kmh1108\,km\,h^{-1}. The force required to stop the vehicle in 10 s is

A

360 N

B

720 N

C

180 N

D

20×10.8N20 \times 10.8 N

Answer

360 N

Explanation

Solution

Force, F = m ×\times a where a = υut\frac{\upsilon - u}{t} i.e. F = m(υut)\left(\frac{\upsilon - u}{t} \right) Here m = 120 kg, u=108×10003600=30ms1u = 108 \times \frac{1000}{3600} = 30 \, m \, s^{-1}, υ=0\upsilon = 0 and t = 10 s \therefore F = 120(030)10=360N\frac{120(0-30)}{10} = - 360 \, N The force required to stop the vehicle is 360 N. 1 km h1=518ms1h^{-1} = \frac{5 }{18} m \, s^{-1}