A car having mass 500 kg is travelling on a highway with 30 m/s. The driver
accelerates the car to 70 m/s in just 5 seconds. Find the force exerted by the engine
of the car.
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Given :
- Mass of the car = 500 kg
- Initial velocity of the car = 30 m/s
- Final velocity of the car = 70 m/s
- Time taken = 5 s
How to solve :
- As the car is moving with uniform acceleration we can use first kinematic in order to find the acceleration of the car
- Then, we can easily find the force by applying the newtons second law of motion
Solution :-
By using the first kinematic equation ,
⇒ v = u +a t
On re arranging ,
⇒ a = v - u / t
⇒ a = 70 - 30 / 5
⇒ a = 40 / 5
⇒ a = 8 m /s ²
By applying Newton's second law of motion ,
⇒ F = ma
⇒ F = 500 x 8
⇒ F = 4000 N
The force exerted by the engine of the car = 4000 N
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