The two toy cars shown in the figure, with masses as given in the figure, (Figur

Question

The two toy cars shown in the figure, with masses as given in the figure, (Figure 1) are ready to race. Both cars begin from rest. For each question, state whether the correct answer is car A, car B, or whether the two cars have equal values for the parameter in question. For the next three parts assume that the cars' motors supply the same force to each car over the course of a 1.0-meter race.

Which car crosses the finish line 1.0 maway first?

Which car has the larger kinetic energy when it crosses the finish line 1.0 m away?

Which car has a larger momentum when it crosses the finish line 1.0 m away?

Explanation / Answer

A)

mass of car A > mass of car B

hence acceleration of car A < acceleration of car B

so car B crossed the 1 m line first as it has greater acceleration

B)

Kinetic energy = work done

workdone = F d

since same force acts on both the cars for same displacement , hence Both car A and B will have same Kinectic energy

C)

change in momentum = F t

F is same for both the cars

for car B , the time taken is smaller hence , its change in momentum will be smaller compared to car A

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