Calculating Velocity and Momentum in Inelastic Collisions

In summary, a putty with a mass of 5 compresses a spring with a stiffness constant of 3. The spring is stretched and the putty has a completely inelastic collision with another putty with a mass of 15. The problem becomes solvable once the displacement of the spring, which is 6, is included. The potential energy of the spring is transferred to the first putty's kinetic energy, which can be solved using the formula KE=1/2mv^2. Conservation of momentum is then used to solve for the velocity of the first putty after it leaves the spring. The distance traveled is not specified and depends on whether there is any friction present.
  • #1
mwahx3
19
0
Putty of mass 5 is compresses a spring with stiffness consonant 3. The spring is stretched and the putty has a completely inelastic collision with another putty of mass 15. How fast and how far do the putties travel?

I have no idea how to begin.

thanks,,
 
Physics news on Phys.org
  • #2
me neither...
are you sure it didn't tell you the displacement of the spring, if it gave you that the problem would be solvable
 
  • #3
oh, right sorry. i forgot to include that -- 'with a distance of 6'

thanks for pointing that out.
 
  • #4
oh, in that case...
PE=1/2kx^2 for spring... where k is the stiffness constant and x is the displacement
the spring transfers all its PE to the first putty's KE, so now you want to do KE=1/2mv^2 solving for the velocity of the first putty after it leaves the spring...
then do conservation of momentum... mv before= mv after
*the mass and velocity before is just the mass and velocity of the first putty, the mass after is the mass of both together and the velocity after is the joint velocity which you are solving for...
uhhh, the distance I am not so sure about
you didn't mention any friction in the problem so I assumed there was none... what exactly makes them slow down?
 

FAQ: Calculating Velocity and Momentum in Inelastic Collisions

What is an inelastic collision?

An inelastic collision is a type of collision in which the kinetic energy of the system is not conserved. This means that some of the energy is lost or converted into other forms such as heat, sound, or deformation.

What is the difference between an inelastic collision and an elastic collision?

In an elastic collision, the kinetic energy of the system is conserved. This means that the total energy before and after the collision remains the same. In an inelastic collision, some of the energy is lost or converted into other forms.

How is momentum conserved in an inelastic collision?

Momentum is conserved in an inelastic collision just like in any other type of collision. This means that the total momentum of the system before and after the collision remains the same. However, in an inelastic collision, the objects involved may stick together or deform, resulting in a change in kinetic energy.

What are some real-life examples of inelastic collisions?

Some examples of inelastic collisions in everyday life include a car crash, a ball hitting the ground and bouncing, and a bullet hitting a target. In all of these cases, some of the energy is lost or converted into other forms, such as heat or sound.

How is the coefficient of restitution used to measure the elasticity of a collision?

The coefficient of restitution is a measure of the elasticity of a collision. It is calculated by taking the ratio of the relative velocity of separation to the relative velocity of approach. A value of 1 indicates a perfectly elastic collision, while a value of 0 indicates a perfectly inelastic collision.

Back
Top