Answer:
a) Horse power required = 3.575 hp
b) The battery must be charged after approximately 225 km
Explanation:
a) Frictional force, F = 240 N
Average speed of the car = 40 km/h = 40 * (1000/3600) = 11.11 m/s
Horse power required = Power dissipated by the frictional force
Power = Force * Velocity
Power = 240 * 11.11
Power = 2666.67 Watt
746 Watt = 1 hp
2666.67 Watt = 2666.67/746
Horse power required = 3.575 hp
b)
The charge of 1 battery, Q = 52 Ah = 52 * 3600 = 187,200 C
Q = 187,200 C
For 24 batteries, Q = 24 * 187,200
Q = 4492800 C
Power consumed by the batteries, P = QV/t
P = 2666.67 W
2666.67 = (4492800 * 12)/t
t = (4492800 * 12)/2666.67
t = 20217.575 s
Velocity = distance/time
11.11 = distance/20217.575
distance = 20217.575 * 11.11
distance = 224617.26 m
distance = 224.62 km
