A car of mass 1000kg is driven from its initial state with uniform acceleration and reaches a speed of 30km/h in 10sec. Find the force exerted by the engine

Answer 1

To find the force exerted by the engine, we can use Newton's second law of motion:

Force = Mass x Acceleration

Given:
Mass of the car (m) = 1000 kg
Time taken (t) = 10 sec
Final velocity (v) = 30 km/h = 8.33 m/s (converted from km/h to m/s)

Acceleration (a) can be calculated using the formula:

a = (v - u) / t

where u is the initial velocity, which is 0 m/s (since the car starts from rest).

Plugging in the given values:

a = (8.33 m/s - 0 m/s) / 10 sec
a = 0.833 m/s²

Now, we can calculate the force:

Force = Mass x Acceleration
Force = 1000 kg x 0.833 m/s²
Force = 833 Newtons

Therefore, the force exerted by the engine is 833 Newtons.