A proposed electric vehicle makes use of storage batteries as its source of energy. Its mass is 1560 kg and it is powered by 20 batteries, each 11 V, 95A⋅h. Assume that the car is driven on level roads at an average speed of 55 km/h, and the average friction force is 250 N. Assume 100% efficiency and neglect energy used for acceleration. No energy is consumed when the vehicle is stopped, since the engine doesn't need to idle. Determine the horsepower required.

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Physics

22 February, 07:47

A proposed electric vehicle makes use of storage batteries as its source of energy. Its mass is 1560 kg and it is powered by 20 batteries, each 11 V, 95A⋅h. Assume that the car is driven on level roads at an average speed of 55 km/h, and the average friction force is 250 N. Assume 100% efficiency and neglect energy used for acceleration. No energy is consumed when the vehicle is stopped, since the engine doesn't need to idle. Determine the horsepower required.

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Amelia Yu · Answer 1

horse power is 5.1219 hp

Explanation:

Given data

mass = 1560 kg

batteries = 20

power = 11 V

current = 95A⋅h

average speed = 55 km/h

friction force = 250 N

to find out

the horsepower required

solution

we know that horse power formula that is

power = force * speed ... 1

here speed is 55 km/h = 55 * (1000/3600) = 15.28 m/s

and force = 250 N

put both these value in equation 1

power = force * speed

power = 250 * 15.28

power = 3819.444 W = 3819.44 / 745.7) = 5.1219 hp

so horse power is 5.1219 hp