Question

What force is required to accelerate a car at a rate of 3 m/s2 if the car has

a mass of 4,000 kg?

Answer 1

How much force is required to accelerate a 1000 kg car from a speed of zero to 27 m/s in 6 seconds?

Here we assume that the co- efficient of static force of friction is negligible for the surface , and write the given data as under,

initial velocity of the car =Vi = 0

final velocity of the car = Vf = 27 m /sec.

time required for the change in velocity = t = 6 sec.

mass of the car = m= 1000 kg

Force required to bring this change in velocity = F= ?

first we find acceleration = a = Vf - Vi / t

= 27 - 0 / 6 = 27 /6 = 4.5 m /sq.sec. = 4.5 N / kg

Now, by Newton`s 2nd law of motion,

F = ma = (1000 kg) x (4.5 N/kg) = 4500 N