A car of mass m slides across a patch of ice at a speed v with its brakes locked

Question

A car of mass m slides across a patch of ice at a speed v with its brakes locked. It the hits dry pavement and skids to a stop in a distance d. The coefficient of kinetic friction between the tires and the dry road is mu. If the car has a mass of 2m, it would have skidded a distance of 0.5 d d 1.41 d 2d 4 d If the car has a speed of 2v, it would have skidded a distance of 0.5 d d 1.41 d 2d 4 d A ball is thrown vertically upwards with a velocity v and an initial kinetic energy E_k. When half way to the top of its flight, it has a velocity and kinetic energy respectively of v/2, E_k/2 v/squareroot 2, E_k/2 v/4, E_k/2 v/2, E_k/squareroot 2 v/squareroot 2, E_k/squareroot 2

Explanation / Answer

13 ) if the car has a mass of 2m, it would have skipped a distance of d because independent of mass

14) d = v^2 / 2a

      d' = (2v)^2 / 2a

     d' = 4d

15) h = v^2 / 2g

       v at h/2 = v/sqrt(2)

      K.E = Mv^2 / (2*2)

     K.E = Ek / 2

option B is correct

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