Break this down into your knowns and unknowns.
You only have four kinematic equations.
This problem is a projectile problem that is asking you to break things up in terms of x and y. First the shell moves initially with the bullet at 300 m/s horizontally, and then when it approaches 0...
How do I know that they are not? Lol
I guess I just assumed that it's not a glancing collision. I thought the two balls bounce off each other in opposite directions, so the vf1 would be negative. No angles were given.
(0.26kg)(1.2m/s)+0=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)-(0.26kg)(-vf1)= (0.15kg)(vf2)
(0.312 kg m/s)+(0.26kg)(vf1)= (0.15kg)(vf2)
((0.312 kg m/s)+(0.26kg)(vf1))/(0.15kg)=(vf2)
(2.08 m/s)+1.73(vf1)=(vf2)
(v1-v2)i=(v2-v1)f
1.2-(vf1)=vf2...
(0.26kg)(1.2m/s)+0=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)-(0.26kg)(-vf1)= (0.15kg)(vf2)
(0.312 kg m/s)+(0.26kg)(vf1)= (0.15kg)(vf2)
((0.312 kg m/s)+(0.26kg)(vf1))/(0.15kg)=(vf2)
(2.08 m/s)+1.73(vf1)=(vf2)
(1.2 m/s)+vf1=vf2
(2.08...
((.5)(0.26kg)(1.2 m/s)2+(.5)(0.15kg)(0)2)i = ((.5)(0.26kg)(vf1)2+(.5)(0.15kg)(Vf2)2)f
(0.1872 kg m/s)+0=(0.13kg)(-vf1)2+(0.075kg)(vf2)
(0.1872 kg m/s)+(0.13kg)(vf1)2=(0.075kg)(vf2)2
SQR[(0.1872 kg m/s)+(0.13kg)(vf1)2]/(0.075kg)=vf
(2.895 m/s)(vf1)=VF2...
(0.26kg)(1.2m/s)+0=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)=(0.26kg)(-vf1)+(0.15kg)(vf2)
(0.312 kg m/s)-(0.26kg)(-vf1)= (0.15kg)(vf2)
(0.312 kg m/s)+(0.26kg)(vf1)= (0.15kg)(vf2)
((0.312 kg m/s)+(0.26kg)(vf1))/(0.15kg)=(vf2)
((.5)(0.26kg)(1.2m/s)2+(.5)(0.15kg)(0 m/s)2)i =...
Oh so I need to use ΔKE equation.
((.5)(m1)(Vi1)2+(.5)(m2)(Vi2)2)i = ((.5)(m1)(Vf1)2+(.5)(m2)(Vf2)2)f
and solve for either Vf1 or Vf2 then plug it back into:
(m1v2+m2v2)i=(m1v2+m2v2)f
Find the other final velocity, and then:
ΔKE= ((.5)(m1)(Vi1)2+(.5)(m2)(Vi2)2)i...
Homework Statement
A 0.26 kg cue ball with a velocity 1.2 m/s collides elastically with a 0.15 kg billiard ball at rest.
What percentage of the initial kinetic energy is transferred to the billiard?
m1= 0.26kg
Vi1= 1.2 m/s
Vf1= ?
m2= 0.15kg
Vi2= 0 m/s
Vf2= ?
Homework Equations...