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.
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.
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 ret
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= 0.92 * 1260 = 1161 m/s
For 2 kg block
T – 2g sin37 = 2a . (i)
For 4 kg block
4g – 2T =
2g – T = a . (ii)
T = (2g – a)
2g – a – 2g × = 2a
3a = 2g ×
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