Daniel is riding a 20 lbm bicycle at 10mph heading directly north. Victoria is r

Question

Daniel is riding a 20 lbm bicycle at 10mph heading directly north. Victoria is riding a 30 lbm bicycle at 7 mph heading 30o east due north. Daniel has a mass of 150 lbm and Victoria has a mass of 100 lbm. Through some unfortunate mishap, Daniel and Victoria collide. Treat their collision as completely inelastic (coefficient of restitution = 0). What will be their initial velocity after the collision? If the coefficient of restitution for the collision in the x-direction is 0.2 instead of 0, calculate the velocity of each rider. Assume a smooth oblique collision. Ignore any external forces such as gravity.

Explanation / Answer

if perferctly inelastic

initial momentum=final momentum

20*10j+(30*7cos(30)j) +(30*7*sin(30)i=50V

we get V=2.1i+7.63j

magnitude =7.91 mph

if coefficient of restitution=0.2

let their velocity be v1 and v2 in x direction

v2-v1/(7sin(30)-0)=0.2

we get v2-v1=0.7

by conservation of momentum in direction

30v2+20v1=181.86

20v2-20v1=14

we get v2=3.9 mph

v1=3.217 mph

velocity of first in y direction=10 mph

veloicity of second in y direction=6.062 mph

so velocity of first =10.5 mph

velocity of second=7.2 mph

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.