A car of mass 2500 kg travelling at a speed of 40 m/s stops after covering a distance of 50 m when brakes are applied. Calculate (i) the force exerted on it by the brakes (ii) work done by brakes.
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Given, m = 2500kg ; u = 40m/s
S = 50m (after applying brakes)
(i) v² - u² = 2as
0 - (40)² = 2a(50)
a = -1600/100 = -16m/s²
F = ma = (2500)(-16)
= –40000N
Here force is nothing but friction.
Friction is opposite to motion.
So, F = 40000N = 4 × 10^4 N
(ii) W = FS
W = 40000 × 50
W = 2000000J
W = 2 × 10^6 J
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