Rank the following sports cars by the net force required to produce the given mo
ID: 1606564 • Letter: R
Question
Rank the following sports cars by the net force required to produce the given motion. Assume a constant acceleration for each car. A Lamborghini Gallardo of mass m_L = 1430 kg starts with a speed of 9.16 m/s and goes a distance of d = 102 m in a time of t = 4.25 s. A Bugatti Veyron of mass mB 890 kg goes from 6.93 to 29.3 m/s over a distance of d = 40.5 m. A Dodge Viper of mass m_D = 1570 kg goes from 6.93 to 38.2 m/s in a time of t = 4.08 s. A Nissan GT-R of mass m_N = 1680 kg goes Smallest Net Force from 11.2 to 38.8 m/s over a distance of d = 68.8 m.Explanation / Answer
F = ma
a) s= ut + 1/2at^2
102= 9.16 (4.25)+ 0.5 a (4.25)^2
a= 6.98 m/s^2
F = 1430 ( 6.98) =9986.447 N
b) a= ( 29.3^2 - 6.93^2)/ 2 x40.5= 10 m/s^2
F = 1890 ( 10) =18900 N
c) a= ( 38.2 - 6.93)/ 4.08 =7.664 m/s^2
F = 1570 ( 7.664) =12032.818 N
d) a= (38.8^2 - 11.2^2 ) /. ( 2x68.8) = 10.03 m/s^2
F = 1680 ( 10.03) = 16848.837 N apprx
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