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.
4500 N
Given:
Mass of car m=1500 kg
Initial velocity u=0,
Final velocity v=30 ms−1
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 ms−2
Now, in equation : F=m×a
putting m=1500 kg and a=3 ms−2
we get,
F=1500×3=4500 N
Thus, force required is 4500 N.