# old M2 collision inequality question

Watch
This discussion is closed.
#1
The Question goes:

A small smooth sphere, mass 3kg moving on smooth horizontal plane speed 8ms-1 collides directly with sphere mass 12kg, which is at rest. Given the spheres move in opposite directions after collision, obtain the inequality satisfied by e

I understand how to use the expression of the coefficient of restitution and how to use the conservation of momentum. I do not know enough about working with inequalities.

Can somebody help?
0
17 years ago
#2
(Original post by munkeh)
The Question goes:

A small smooth sphere, mass 3kg moving on smooth horizontal plane speed 8ms-1 collides directly with sphere mass 12kg, which is at rest. Given the spheres move in opposite directions after collision, obtain the inequality satisfied by e

I understand how to use the expression of the coefficient of restitution and how to use the conservation of momentum. I do not know enough about working with inequalities.

Can somebody help?
What speeds did you get?

Ben
0
#3
after, the speeds of both particles are unobtainable, since we don't know e and we dont know either of the velocities after collision
0
17 years ago
#4
(Original post by munkeh)
after, the speeds of both particles are unobtainable, since we don't know e and we dont know either of the velocities after collision
You work them out in terms of e.
Then say that one is bigger than the other and put this in terms of an inequality. You can then find an inequality in terms of e only, In this case it has something to do with 2/3.

Ben
0
#5
how do you manipulate two inequalities in terms of e into one, whilst eliminating the two other unknowns, call them v1 and v2
0
X
new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Feeling behind at school/college? What is the best thing your teachers could to help you catch up?

Extra compulsory independent learning activities (eg, homework tasks) (3)
3.45%
Run extra compulsory lessons or workshops (13)
14.94%
Focus on making the normal lesson time with them as high quality as possible (17)
19.54%
Focus on making the normal learning resources as high quality/accessible as possible (9)
10.34%
Provide extra optional activities, lessons and/or workshops (29)
33.33%
Assess students, decide who needs extra support and focus on these students (16)
18.39%

View All
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.