Please help me faster! To which of the following two-object systems can we apply
ID: 3309089 • Letter: P
Question
Please help me faster!
To which of the following two-object systems can we apply conservation of momentum, and why? In each case, answer “A” if we can apply conservation of momentum because the system floats in space, “F” if it’s because the system is functionally isolated, “C” if it’s because the system undergoes a collision, and “D” if momentum is not conserved at all because the system is not isolated.
(a)
Two magnetic hockey pucks slide on a flat plane of frictionless ice. They attract each other as they pass, changing each other’s trajectories without touching.
(b)
An asteroid imbeds itself in a planet.
(c)
An isolated star passes through a well-defined cloud of gas, and is slowed by friction in this process. (Assume that we can keep track of the cloud’s momentum.)
(d)
Two people dance the tango.
(e)
Two people riding personal hovercraft tug on each other with a rope.
(f)
A cannonball drops to the earth and lands with a thud, burying itself in the ground.
(a)
Two magnetic hockey pucks slide on a flat plane of frictionless ice. They attract each other as they pass, changing each other’s trajectories without touching.
(b)
An asteroid imbeds itself in a planet.
(c)
An isolated star passes through a well-defined cloud of gas, and is slowed by friction in this process. (Assume that we can keep track of the cloud’s momentum.)
(d)
Two people dance the tango.
(e)
Two people riding personal hovercraft tug on each other with a rope.
(f)
A cannonball drops to the earth and lands with a thud, burying itself in the ground.
Explanation / Answer
(b). In this case where an asteroid imbed itself into a planet due to its collusion (C) ,we can apply conservation of momentum (A). Due to collusion of asteroid with planet, here sticking collusion scenario comes into picture. Asteroid transfer is momentum to new planet and asteroid system, hence conservation of momentum takes place.
(c). In this case where star passes through cloud of gas and we are able to track the momentum transferd to the cloud, momentum is conservation takes place (A).
(d). Two people dancing tango is an case where conservation of momentum doesn't occur in two body problem.
(f). Here when cannonball dropped to the earth, it is a collusion process (C), the mass of cannonball is far to low than that of earth, though the conservation of momentum (A) takes place, the change in momentum of earth and cannonball system, after the cannonball drops and gets buried itself, is negligible compared to the momemtum of earth alone before it is buried in ground.
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