Two pinewood derby cars, A and B, are released from rest at the top of a straigh

Question

Two pinewood derby cars, A and B, are released from rest at the top of a straight track inclined at an angle of 10 degrees. The length of the track is 10 meters. The weight of the both cars is exactly 5 oz per regulations. As provided in the officiall BSA kit, the mass of each wheel is 2.60 g, and they are approximately uniform cylinders with a 1.190 inch diameter. The cars are not 2 the same, however. Under the cover of darkness the night before the Derby, cub scout A's doting grandfather sanded his childís wheels until they were half their original thickness, each wheel having a new mass of 1.30 g. In doing so, he reduced the overall mass of the car by 5.20 g. Assuming the wheels of car B were left unaltered, which car should win the race, A or B, and by how far? (Neglect friction, and assume that the cars go straight down the track.)

Explanation / Answer

both cars reach the bottom at the same time, since there is no friction, the weight of the cars will not affect their speed.

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