5.8 The driver of a three-wheeler moving with a speed of 36 km/h sees a child standing in the middle of the road and brings his vehicle to rest in 4.0 s just in time to save the child. What is the average retarding force on the vehicle? The mass of the three-wheeler is 400 kg and the mass of the driver is 65 kg.

24 Views | Posted 4 months ago

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1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

4 months ago

The initial speed of 3 wheeler, u = 36 km/h = 10 m/s

The final velocity of the 3 wheeler, v = 0

The time t = 4 s

From the relation, v = u-at, we get, a = u/t = 10/4 m/s²= 2.5 m/s²

The total mass acting on the 3 wheeler, m = mass of the 3 wheeler + mass of the driver = 400 +65 kg = 465 kg

The average retarding force F is given by F = MA = 465 $*$ 2.5 N = 1162.5 N = 1.2 $*$ $10^{3}$ N

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