What is the retarding force required to bring an object of 5 kg, travelling with a speed of 40 km/h, completely to rest in a distance of 250 mm?

Solution:
The initial velocity of the stone, u= 40km/hr =40×518=11.1m/s   The final velocity of the stone, v=  0 Distance covered by the stone, s=  250 mmMass of stone, m = 5kgUsing the formulav2 -u2 =2as0-(11.1)2=2×a×250×10-3-123 =0.5aor a =-246m/s2Here, -ve sign shows retardation.Force =ma =-5×246 =1230 NHere, -ve sign shows force is in the opposite direction.

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