Question

what force is required to move a 25,000 kg vehicle from 0km/hr to 60km/hr in 20 seconds? (hint: convert to proper units, solve fore acceleration, then solve for force)

Answer 1

Let's first convert the initial and final speed of the vehicle in m/s:

`v_i = 0km/h = 0m/s`

`v_f = 60km/h \cdot (1000 m/km)/(3600 s/h) =16.67 m/s`

Therefore, the acceleration of the car is given by

`a= (v_f-v_i)/(t)= (16.67 m/s-0 m/s)/(20 s)=0.83 m/s^2`

And so now we can calculate the force required by using Newton's second law:

`F=ma=(25000 kg)(0.83 m/s^2)=20750 N`