Rank the following sports cars by the net force required to produce the given mo
ID: 1278037 • 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 mL = 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 = 1890 kg goes from 6.93 to 29.3 m/s over a distance of d = 40.5 m. A Dodge Viper of mass mD = 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 mN = 1680 kg goes from 11.2 to 38.8 m/s over a distance of d = 68.8 m.
Explanation / Answer
A. mL = 1430 kg, u = 9.16 m/s, d = 102 m, t = 4.25 sec.
d = ut + 0.5*a*t^2
a = (102 - 9.16*4.25)/(0.5*4.25^2) = 6.983 m/sec^2
F = m*a = 1430*6.983 = 9985.69 N
B. v^2 = u^2 + 2*a*d
a = (29.3^2 - 6.93^2)/(2*40.5) = 10.0057 m/sec^2
F = m*a = 1890*10.0057 = 18910.773 N
C. v = u + a*t
a = (38.2 - 6.93)/4.08 = 7.664 m/sec^2
F = 1570*7.664 = 12032.48 N
D. v^2 = u^2 + 2*a*d
a = (38.8^2 - 11.2^2)/(2*68.8) = 10.029 m/sec^2
F = m*a = 1680*10.029 = 16848.72 N
Rank
FB > FN > FD > FL
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.