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23 Nov 2019

One object is at rest, and another is moving. The 2 collide in aone-dimensional, completely inelastic collision. In other words,they stick together after the collision and move off with a commonvelocity. Momentum is conserved. The speed of the object that ismoving initially is 24 m/s. The masses of the 2 objects are 2.7 and8.1 kg. Determine the final speed of the two-object system afterthe collision for the case a) when the large-mass object is the onemoving initially and the case b) when the small-mass object is theone moving initially.

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Trinidad Tremblay
Trinidad TremblayLv2
23 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

In this problem we will consider a collision of two moving objects such that after the collision, the objects stick together and travel off as a single unit. The collision is therefore completely inelastic.

You have probably learned that "momentum is conserved" in an inelastic collision. But how does this fact help you to solve collision problems? The following questions should help you to clarify the meaning and implications of the statement "momentum is conserved."

1)What physical quantities are conserved in this 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?
 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

Which of the following is true when an object of mass m moving on ahorizontal frictionless surface hits and sticks to an object ofmass M > m, which is initially at rest on the surface?
The collision is elastic.

All of the initial kinetic energy of the less-massive object islost.

The momentum of the objects that are stuck together has a smallermagnitude than the initial momentum of the less massiveobject.

The speed of the objects that are stuck together will be less thanthe initial speed of the less-massive object.

The direction of motion of the objects that are stuck togetherdepends on whether the hit is a head on collision.

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