Question

If the engine in a 1200 kg car could produce 10,000 N to accelerate from 0 to 27

m/s, how much time would that take?

Answer 1

The time taken by engine of the car to accelerate is 3.24 seconds

Explanation:

Given as :

The mass of the car = 1200 kg

The Force applied by engine to accelerate = 10, 000 N

The change in velocity =
`v_2` -
`v_1` = 27 m/s

Let The time taken by engine = t sec

And Let The acceleration = a m/s²

Now,

∵ Force is define as the product of mass and acceleration

I.e F = mass × acceleration

or, F = 1200 × a

or, 10,000 = 1200 × a

∴ a =
`(10,000)/(1200)` m/s²

I.e a = 8.33 m/s²

Now , Again

∵ Acceleration is define as the rate of change of velocity

I.e a =
`(v_2-v_1)/(t)`

or, a =
`(27-0)/(t)`

Or, t =
`(27)/(a)`

I.e t =
`(27)/(8.33)`

∴ t = 3.24 sec

So, The time taken = 3.24 seconds

Hence The time taken by engine of the car to accelerate is 3.24 seconds . Answer