The angular velocity of a scooter's engine (and consequently its wheel) is proportional to the petrol input per second. The scooter is travelling along a frictionless road with a uniform velocity. When the petrol input is increased by 10 % , the linear velocity of the scooter increases by

Step-by-step solution

The scooter is travelling on a frictionless road. The forward force required to change the linear velocity of a vehicle is provided by the frictional force between the tires and the road. Since the road is frictionless, no external horizontal force acts on the scooter. When the petrol input is increased, the angular velocity of the wheels increases, causing them to slip or spin faster on the road without providing any forward thrust. By Newton's first law of motion, the linear velocity of the scooter remains unifor