A car going at a speed of 7 m/s can be stopped by applying brakes in a shortest distance of 10 m. Show that the total frictional force opposing the motion when brakes are applied is 1/4th of the weight of the car(g =9.8 m/s²
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For the motor car;
u = 7 m/s; v = 0; s = 10 m.
Using, v2 = u2 + 2as, we get
a=v2-u2/2s=o-49/20=-2.45m/sec2
If we consider, g = 9.8 m/s2, then we get
a=-g/4
Thus, the resistance to the motion, that is resistive force is
-F=-ma=mg/4
This is one fourth the weight of the car.
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