1. d(KE)/dt = (1/2)M dV^2/dt = M V dV/dt
acceleration = dV/dt = a t where a is a constant, since force increases linearly with time
V = a t^2/2 assuming V=0 at t=0
d(KE)/dt = a M t^2/2 * at
= (1/2) m a^2 t^3
2. 2 v.
The point of contact with the road is the instantaneous center of motion. The top of the tire is twice the distance from the road contact point, compared to the axle.
1.A net force that is linearly increasing in time is applied to an object. What is time dependence of the object's kinetic energy?
2.A tire is rolling along a road, without slipping, with a center of mass velocity of v. A piece of tape is attached to the tire. When the tape is at the top of the tire, what is its velocity with respect to the road?
2 answers
t^3
1 answer