car is
A brought to rest after 10 seconds initially
moving with 9 kmph. The mass of the car is 2000 kg.
Calculate the retarding force acting on the car
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Given:-
- Initial velocity ,u = 0m/s
- Time taken , t = 10s
- Final velocity ,v = 9km/h
- mass of the car ,m = 2000kg
To Find:-
- Retardation Force (F).
Solution:-
Converting the unit here
Final velocity =9km/h = 9×5/18 = 45/18
Firstly we calculate the acceleration of the car
As we know that rate of change of velocity at per unit time is called acceleration.
→a = v-u/t
Substitute the value we get
→ a = 45/18 - 0 /10
→ a = 45/28/10
→ a = 45×10/28
→ a = 450/28
→ a = 16.07 m/s²
∴ The acceleration of the car is 16.07 m/s²
Now we know that Force is the product of mass and acceleration
→F = m×a
Substitute the value we get
→ F = 2000 × 16.07
→ F = 32140N
∴ The retardation force acting on the car is 32140 Newton.
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