Question

A car seller claims that his 1000 kg car can accelerate from rest to a speed of 24 m/s in just 8.0 s. The engine of the car, on an average, should be of
(a) 60 hp
(b) 48 hp
(c) 80 hp
(d) 24 hp​

Answer 1

Answer: 48hp

Explanation: Refer to the material.

Answer 2

The engine of the car on an average should be of 48.94 hp

Explanation:

It is given that,

Mas of the car, m = 1000 kg

Initial speed of the car, u = 0

Final speed of the car, v = 24 m/s

Time, t = 8 s

We know that the wok done per unit time is called power of the car. It is given by :

$P=\dfrac{W}{t}$

W = change in kinetic energy

$W=\dfrac{1}{2}m(v^2-u^2)$

$W=\dfrac{1}{2}m(v^2)$

$W=\dfrac{1}{2}\times 1000\times 24^2$

W =288000 J

Power,

$P=\dfrac{288000\ J}{8\ s}$

P = 36000 Watts

Since, 1 horsepower = 735.499 watts

So, P = 48.94 hp

So, the engine of the car on an average should be of 48.94 hp. Hence, the correct option is (b).

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