A new electric car makes use of storage batteries as it source of energy. Its mass is 1300kg and it is powered 26 batteries, each 12v, 52 A-

Question

A new electric car makes use of storage batteries as it source of energy. Its mass is 1300kg and it is powered 26 batteries, each 12v, 52 A-h. Assume that the car is driven on the level at an average speed of 40 km/h, and the average friction force is 240N. Assume 100% efficiency and neglect energy used for acceleration. Note that no energy is consumed when the vehicle is stopped since the engine does not need to idle.a. determine the horsepower requiredb.after approximately how many kilometers the battery must be changed?

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niczorrrr 3 years 2021-07-20T19:55:27+00:00 1 Answers 15 views 0

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  1. Sigrid
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    2021-07-20T19:56:55+00:00
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    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

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