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Propulsion – Driving Force



Think about walking on the street. We push our feet backward on the ground and still we are moving forward!

  • The driving force of walking is basically the reaction force corresponding to the force your feet exert on the ground, due to Newton's third law.
  • This type of the motion is known as propulsion.



  • The driving force comes from the action-reaction pair of forces between the wheel and the ground.
  • This force is dependent on the static friction between the wheel and the ground:
 Fdrive=μsN \boxed{ \ F_{drive}=\mu_sN \ }


Wize Concept
That is why it is hard to walk on a frozen lake! If friction is almost zero, then the driving force is also very small.

A rocket blasts exhaust to move itself in space. By blasting exhaust at 440.0N of force for 4.00s, the rocket can apply a force of change it's speed by 2.18m/s. What is the mass of the rocket in kg?


Force of the exhaust is apply an impulse to change the speed of the rocket.

J = Δp = m Δv = F Δt

Since we know the change in speed and the force and time, we can calculate the mass of the rocket to be 807kg
Alice decides to push her little brother Bob on ice. Bob weights 3030 kg. Initially, the force Alice is applying on Bob is not enough to start the motion. Alice gradually increases the force on Bob until he starts to slide. After that, Alice keeps pushing Bob (with the same force that she was applying when Bob started to move) for the next 33 s and then lets him go. Bob is going to stop a little bit later. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1 and the coefficient of static friction between his shoes and ice is 0.20.2.

a) Find Bob's speed at the moment when Alice lets him go.
b) How long does it take for Bob to stop completely after Alice lets him go?