Solving for Final Velocities and Min Length of m2

  • Thread starter Thread starter colmes
  • Start date Start date
  • Tags Tags
    Final Length
AI Thread Summary
The discussion focuses on calculating the final velocities of two objects, m1 and m2, where m1 initially moves at 10 m/s and m2 is stationary with a kinetic friction coefficient of 0.2. Using conservation of momentum, the final velocity of both objects is determined to be 4 m/s after m1 slows down. However, the minimum length of m2 remains unresolved, as the participants struggle to establish the relationship between the frictional forces and the dimensions required for m2. The problem emphasizes the need for further analysis to derive the minimum length based on the forces acting on m2. Overall, the thread highlights the application of momentum conservation in solving for final velocities while leaving the length calculation open for discussion.
colmes
Messages
4
Reaction score
0

Homework Statement


(Diagram of problem is given in attachment)
m2 is stationary
The coefficient of kinetic friction on m2 is 0.2 while the ground below m2 has a coefficient of friction of 0.

a) Find the final velocity of both objects if m1 moves at the same v as m2

b)Find the minimum length of m2

Homework Equations



mv = p (Momentum)

The Attempt at a Solution



m1v1 = m1v1' + m2v1'
m1v1 = 50v1'
(10)(20) = 50v1'
200/50 = v1'
v1 = 4m/s

I was able to calculate the final velocity of the two objects using conservation of momentum but I have no clue how to calculate the minimum length of m2.
 

Attachments

Last edited:
Physics news on Phys.org
m1 is slowed down from 10 to 4 meters per second on m2 while m2 is speeding up from 0 to 4 m/s. At that point they are moving together.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Inelastic collisions -- how is momentum conserved but not energy?
Replies
5
Views
2K
How do I solve for an elastic collision going up a ramp?
Replies
10
Views
3K
Help with Final Velocity Collision Problem
Replies
1
Views
2K
A mass m1 moving with u collides with mas m2...
Replies
5
Views
2K
Solve for mass of a second object in a momentum question
Replies
2
Views
1K
How to make m1 the subject of the formula
Replies
1
Views
2K
How Does Conservation of Momentum Affect Kinetic Energy in Collisions?
Replies
8
Views
4K
Two manned satellites approaching one another
Replies
4
Views
4K
Sequental elastic and inelastic collisions
Replies
4
Views
2K
Two dimensional momentum problem
Replies
20
Views
3K

Hot Threads

Recent Insights

Back
Top