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12 Nov 2019

Two identical objects 1 and 2, each having a mass of 1kg, movetoward one another at the same speed 1m/s, as shown in thefigure



The objects collide.

a.) If the collision is elastic, find the velocities (magnitude& direction) of each object after the collision

b.) If the objects stick together (i.e. the collision isinelastic), calculate their common speed after the collision

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Jean Keeling
Jean KeelingLv2
18 Jun 2019

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Related textbook solutions

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

Related questions

Two identical pucks collide elastically on an air hockey table. One Puck was originally at rest. If the incoming puck has a speed of 6.00 m/s and scatters at an angle of 30° with respect to its incoming direction. What is the velocity (magnitude and direction) of puck 1 after the collision? (You may use the result that  for an elastic collision of objects that have identical masses). (b) Confirm that the collision is elastic. 

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.

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

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