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In the Soapbox Derby, young participants build non-motorized cars with very low-friction wheels
In the Soapbox Derby, young participants build non-motorized cars with very low-friction wheels. Cars race by rolling down a hill. The track at Akron's Derby Downs, where the national championship is held, begins with a 55ft-long section tilted 13? below horizontal.
Part A: What is the maximum possible acceleration of a car moving down this stretch of track?
Part B: If a car starts from rest and undergoes this acceleration for the full l , what is its final speed in m/s ?
Expert Solution
a) What is the maximum possible acceleration of a car moving down this stretch of track
Fnet= Fgravity
=> amax = mgravity x sin(13)
=>amax = 9.8 x 0.22
= 2.20 m/sec2
b) If a car starts from rest and undergoes this acceleration for the full l, what is its final speed in m/s?
55 feet converted to meters = 16.76 meters
v2 = u2 + 2as
=>v2 = 0 + 2 x 2.20 x 16.76
=>v = √ (73.74)
= 8.59 m/s
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