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Question

Calculate the force required to accelerate a car from rest to a velocity of 30 ms−1 in 10 seconds. The mass of the car is 1500 kg.


A

4000 N

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B

3500 N

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C

3000 N

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D

4500 N

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Solution

The correct option is D

4500 N


Given:
Mass of car m=1500 kg
Initial velocity u=0,
Final velocity v=30 ms1
Time taken t=10 s
Let a be the acceleration.
Now, putting these values in the first equation of motion,
v=u+at
we get, 30=0+a×t

10 a=30

a=3 ms2

Now, in equation : F=m×a
putting m=1500 kg and a=3 ms2
we get,
F=1500×3=4500 N
Thus, force required is 4500 N.


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