Juan and Chaz are fierce rivals, and now their intense competition has extended
ID: 1473656 • Letter: J
Question
Juan and Chaz are fierce rivals, and now their intense competition has extended to their science fair projects.
They each build rocket cars with an identical mass. Juan's design produces 600 N of thrust initially, which then decreases to zero after fourseconds. Chaz's car also produces a declining thrust, but it goes to zero after travelling four meters.You can see a graph of each car's performance below (Juan on the left, and Chaz, the right.) The equations for force for each car are similar:
Use this information:
m = 30.0 kg, the mass of each rocket car
(A) Assume that both cars start from rest and calculate their final velocity (when the thrust goes to zero).
Juan's car has a velocity of ____m/s.
Chaz's car has a velocity of _____ m/s.
Fj(t)-600 150t Fc(x) = 600-150xExplanation / Answer
juan's change in momentum = area under F-t curve
0.5*600*4 = 30 *(v - 0)
v= 40 m/s
area under F-x curve is work done
= change in K.E.
=> 1200=1/2*30*v^2
Chaz's car velocity = 8.94427191 m/s
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