Inelastic collision of a cannonball

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Homework Help Overview

The discussion revolves around the inelastic collision of a cannonball with a tank, focusing on the principles of momentum and kinetic energy. Participants are exploring the implications of friction and energy conservation in the context of this collision.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the conservation of momentum and kinetic energy in the context of the collision, questioning how friction affects the system. There are attempts to analyze the collision in stages and consider the energy required to overcome friction.

Discussion Status

There is an ongoing exploration of the collision type and the role of friction. Some participants have offered insights into the energy dynamics involved, while others are questioning the assumptions about energy conservation in elastic versus inelastic collisions.

Contextual Notes

Participants note confusion regarding the role of friction as a non-conservative force and its impact on the energy dynamics of the system. There is also mention of specific distances and coefficients of friction that may not have been fully defined in the discussion.

reminiscent
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Homework Statement


CRsm8fL.png

Homework Equations


Total initial momentum = total final momentum
Momentum = m*v
Kinetic energy = 1/2 * m * v2

The Attempt at a Solution


What I found so far:
m1v1i = (m1+m2)vf
Total kinetic energy = 1/2 * (m1 + m2)vf2 - 1/2 * m1 * v1i2

I am confused on how friction comes into play here. I know that friction is a non-conservative force.
 
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reminiscent said:

Homework Statement


CRsm8fL.png

Homework Equations


Total initial momentum = total final momentum
Momentum = m*v
Kinetic energy = 1/2 * m * v2

The Attempt at a Solution


What I found so far:
m1v1i = (m1+m2)vf
Total kinetic energy = 1/2 * (m1 + m2)vf2 - 1/2 * m1 * v1i2

I am confused on how friction comes into play here. I know that friction is a non-conservative force.
You can take the whole process as two stages.
The cannonball hits the tank, and is embedded. What kind of collision is this? Is energy conserved?
After the collision, the tank and the ball inside, move on a rough pavement and come to rest at 50 cm distance. What kind of motion is that?
 
reminiscent said:

Homework Statement


CRsm8fL.png

Homework Equations


Total initial momentum = total final momentum
Momentum = m*v
Kinetic energy = 1/2 * m * v2

The Attempt at a Solution


What I found so far:
m1v1i = (m1+m2)vf
Total kinetic energy = 1/2 * (m1 + m2)vf2 - 1/2 * m1 * v1i2

I am confused on how friction comes into play here. I know that friction is a non-conservative force.
The energy imparted to the tank by the projectile must be used to move the tank against the friction which exists between the tank and the pavement. In essence, part of the energy of the projectile must be converted to work in order to overcome friction.
 
So since this is an elastic collision, momentum is conserved but KE is not. I would have to substitute what I found first into Kf, then that would equal to mu*(total mass)*g*d, correct? I just solve for v initial for the cannon ball. I got 377 m/s.
 
reminiscent said:
So since this is an elastic inelastic collision, momentum is conserved but KE is not. I would have to substitute what I found first into Kf, then that would equal to mu*(total mass)*g*d, correct? I just solve for v initial for the cannon ball. I got 377 m/s.
The result is correct.
 

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