The constant force resisting the
motion of a car of mass 1500 kg is equal to one fifteenth of
its weight it, when travelling at 48 km/h, the car is brought to
rest in a distance of 50 m by applying the brakes, find the
additional retarding force due to the brakes (assumed
constant and heat developed in the brakes.
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Answer:
V = 48km/hr
V = 40/3 = 13.33 m/s
v^2 - u^2 = 2as
0 - (40/3)^2 = 2*a*50
a = -16/9
|a| = 16/9 m/s^2
But a = 1/15(g) + additional acceleration
additional acceleration = 16/9 - 1/15(9.81)
additional acceleration = 1.12377
f = ma
additional force = m* additional acceleration
additional force = 1500*1.12377
= 1685.667 kg.m/s^2
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