Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Introductory Physics Homework Help
Momentum and Kinetic Energy, Elastic Collision
Reply to thread
Message
[QUOTE="cassie123, post: 5169194, member: 563501"] [h2]Homework Statement[/h2] [/B] A 2.0 kg ball moving with a speed of 3.0 m/s hits, elastically, an identical stationary ball as shown. If the first ball moves away with angle 30° to the original path, determine: a. the speed of the first ball after the collision. b. the speed and direction of the second ball after the collision. [h2]Homework Equations[/h2] px: m1v1=m1v'1cosΘ1+m2v'2cosΘ2 py: 0=m1v'1sinΘ1+m2v'2sinΘ2 KE: 1/2m1v1^2=1/2m1v'1+1/2m2v'2 where I am using 1 and 2 to denote the first and second balls. and the "prime's" denoting final speed. Θ1=30° Since the balls have identical mass, I believe mass cancels out of the above equations. [h2]The Attempt at a Solution[/h2] [/B] What I tried to do was to find the components of the vectors of final motion, use the conservation of momentum and kinetic energy to create three equations to solve for the three unknowns (Θ2, v'1, v'2). I canceled the mass out of all three equations, rearranged so that the Θ2 terms are on the same side of the momentum equations. I then squared the momentum equations and added them so that I could use the identity cos^2Θ+sin^2Θ=1 to get rid of the Θ2 terms and only have to solve for v'1 and v'2 using the KE equation and the added momentum equations. This is where I am getting stuck with the algebra: (v1-v'1cos(30))^2+(-v'1sin(30))^2=(v'2)^2 and v'2=(v1)^2-(v'1)^2 so, subbing in for v'2: (v1-v'1cos(30))^2+(-v'1sin(30))^2=(v1)^2-(v'1)^2 and at this point I should be able to solve for v'1, but i can't figure it out [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Introductory Physics Homework Help
Momentum and Kinetic Energy, Elastic Collision
Back
Top