a car starts from rest and accelerates uniformly from 10 s to attain a velocity of 20 m/s. If the mass of the car is 800 kg, then find the force exerted by the car.
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Answer:
1600 N
Explanation:
According to the given question,
u = initial velocity = 0 m/s
v = final velocity = 20 m/s
t = time = 10 sec
m = mass = 800 kg
a = acceleration
And we are asked to find the force exerted by the car. But for that we have to know the acceleration as mass is already given.
We know,
- v = u+at
Putting the values we get,
- 20 = 0+ 10a
- 10a = 20
- a = 20/10
- a = 2 m/s^2
Thus acceleration of the car is 2 m/s^2.
Now, from Newton's 2nd law,
- F = ma
Where F is the force
Putting the values we get,
- F = 800×2
- F = 1600 N
So the force exerted by the car is 1600 N.
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