A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by (a) What are and , the x- and y-components of the velocity of the car as functions of time? (b) What are the magnitude and direction of the velocity of the car at ? (b) What are the magnitude and direction of the acceleration of the car at ?

Work = force × a. work b. energy c. distance d. momentum

Electromagnetic induction. a coil of wire contains n turns and has an electrical resistance r. the radius of each turn is a. initially, inside the coil there exists a uniform magnetic field of magnitude b0 parallel to the axis of the coil. the magnetic field is then reduced slowly. the current induced in the coil is i. how long does it take for the magnitude of the uniform field to drop to zero?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?