• Support PF! Buy your school textbooks, materials and every day products Here!

Three dimensional collision with bowling ball and pin.

  • #1

Homework Statement


In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as shown in the figure. Assume that the bowling ball, initially traveling at 15.0 m/s, has eight times the mass of a pin and that the pin goes off at 75° from the original direction of the ball.

9-49.gif


(a) Calculate the speed of the pin.
(b) Calculate the speed of the ball just after collision.
(c) Calculate the angle θ through which the ball was deflected. Assume the collision is elastic and ignore any spin of the ball.

Homework Equations


MbVb+MpVp=MbVB+MpVP (Mb=mass of ball, Mp=mass of pin, Vp=initial velocity for pin, VP=final velocity for pin, Vb=initial velocity for ball, VB=final velocity for ball.)


The Attempt at a Solution


I have no idea how to even attempt this problem.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
537
0
Try writing down your Conservation of Momentum equations
 
  • #3
Should I write down the formula first? Should I plug in the numbers and continue trying to cancel out unknown variables? The conservation of energy and momentum equations are realllllly long -_-
 
  • #4
I would like too bump this-I have the same question!
I tried so far using the p=mv equation in both dimensions (since in the x direction it equals zero!), however I can't seem to solve for what they're asking…my algebraic manipulations aren't as well.
 
  • #5
CWatters
Science Advisor
Homework Helper
Gold Member
10,529
2,295
This is in the homework section and the forum requires you to show your working/attempt. How else can we see where you are going wrong ;-)

Should I write down the formula first? Should I plug in the numbers and continue trying to cancel out unknown variables? The conservation of energy and momentum equations are realllllly long -_-
It's not usually a good ide to plug in the numbers early on.
 
  • #6
bobie
Gold Member
720
2
the bowling ball, initially traveling at 15.0 m/s, has eight times the mass of a pin and that the pin goes off at 75° from the original direction of the ball.
Hi, I do not know if the formula for balls is valid for pins, if it is ...then
you know cos λp (75°) = 0.2588 and the ratio Rm of Mb to total mass 8/9
you get quickly vp = v0* cos λ* 2R (15*0.25*16/9) = 6.9 m/s
the you can easily find all missing data (with the E and p formulas.)
 
  • #7
CWatters
Science Advisor
Homework Helper
Gold Member
10,529
2,295
The problem statement contains no information on the vertical dimension so this is really a 2D problem.
 

Related Threads on Three dimensional collision with bowling ball and pin.

Replies
1
Views
3K
  • Last Post
Replies
3
Views
635
Replies
2
Views
4K
  • Last Post
Replies
10
Views
2K
  • Last Post
Replies
10
Views
6K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
13
Views
8K
Top