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27 Nov 2019

One object is at rest, and another is moving. The two collide inaone-dimensional, completely inelastic collision. In otherwords,they stick together after the collision and move off with acommonvelocity. Momentum is conserved. The speed of the object thatismoving initially is 28 m/s. The masses of the two objects are3.2and 7.5 kg. Determine the final speed of the two-objectsystemafter the collision for thecase (a) when thelarge-mass object isthe one moving initially and thecase(b) when the small-mass object isthe one movinginitially.

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Reid Wolff
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19 Nov 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Object A is moving due east, while object B is moving due north.They collide and stick together in a completely inelasticcollision. Momentum is conserved. Object A has a mass of mA = 16.5kg and an initial velocity of varrowbolditalic0A = 7.90 m/s, dueeast. Object B, however, has a mass of mB = 27.5 kg and an initialvelocity of varrowbolditalic0B = 5.05 m/s, due north. Find themagnitude and direction of the total momentum of the two-objectsystem after the collision.

-I don't know how to do this problem at all

Let two objects of equal mass collide. Object 1 has initialvelocity , directed to the right, and object 2 is initiallystationary.
1. If the collision is perfectly elastic, what are the finalvelocities and of objects 1 and 2?
2. Now suppose that the collision is perfectly inelastic. What arethe velocities and of the two objects after the collision?
3.
Now assume that the mass of object 1 is , while the mass of object2 remains . If the collision is elastic, what are the finalvelocities and of objects 1 and 2?
4. Let the mass of object 1 be and the mass of object 2 be . If thecollision is perfectly inelastic, what are the velocities of thetwo objects after the collision?

In this problem, let us consider that the two moving objects undergo collision such that after the collision, the objects stick together and travel off as a single unit. This is totally inelastic form of collision.

You are probably familiar that "momentum is conserved" in an inelastic collision. Solve the questions given below to clarify the meaning and implications of "momentum is conserved."

1)What physical quantities are conserved in this type of inelastic collision?
a) the magnitude of the momentum only
b) the net momentum (considered as a vector) only
c) the momentum of each object considered individually

2) Two cars of equal mass collide inelastically and stick together after the collision. Before the collision, their speeds are V1 and V2 . What is the speed of the two-car system after the collision?
a) V1+V2
b) V1-V2
c) V2-V1
d)(V1V2)^(1/2)
e) (1/2)(V1+V2)
f)(V1+V2)^(1/2)
g)The answer depends on the directions in which the cars were moving before the collision.

3) Two cars collide inelastically and stick together after the collision. Before the collision, the magnitudes of their momenta are P1 and P2 . After the collision, what is the magnitude of their combined momentum?

a) P1+P2
b) P1-P2
c) P2-P1
d)(P1P2)^(1/2)
e) (1/2)(P1+P2)
f)(P1+P2)^(1/2)
g)The answer depends on the directions in which the cars were moving before the collision.

4) Two cars collide inelastically and stick together after the collision. Before the collision, their momenta are p1 and p2. After the collision, their combined momentum is vector p. Of what can one be certain?

a) Vector P= p1+p2
b) Vector P= p1-p2
c) Vector P= p2-p1

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