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Chapter 11: Q. 22 (page 288)

A 50gmarble moving at 2.0m/s strikes a 20g marble at rest. What is the speed of each marble immediately after the collision?

Short Answer

Expert verified

Marvel of mass 50ghas speed 0.86m/s.

Marvel of mass20ghas speed2.9m/s.

Step by step solution

01

Given information

We have given,

Masses of marvel =50gand20g.

Speed of marvels =2m/sand0m/s.

We have to find their final velocity after collision.

02

Simplify

The given Collison is a elastic collision.

In the elastic Collison the momentum and energy of the system is conserved.

Then conservation of momentum is,

Pi=Pf

Let us consider marvels as marvel 1 of 50gand marvel 2 of 20g.

Then,

Pi=m1v1+m2v2Pi=0.05kg脳2m/s+0Pi=0.1kgm/s

and

PF=m1v1f+m2v2f..........(1)

Then using conservation of energy,

localid="1649676035847" K.EI=K.E.FFm1v12+m2v222=m1v1f2+m2v2f22(0.05)(4)=m1v1f2+m2v2f2........................(2)

Using equation (1) AND (2),

v1f=0.86m/sv2f=2.9m/s

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Most popular questions from this chapter

A proton (mass 1 u) is shot toward an unknown target nucleus at a speed of 2.50脳106 m/s. The proton rebounds with its speed reduced by 25% while the target nucleus acquires a speed of 3.12脳105 m/s. What is the mass, in atomic mass units, of the target nucleus?

The stoplight had just changed and a 2000 kg Cadillac had entered the intersection, heading north at 3.0 m/s, when it was struck by a 1000 kg eastbound Volkswagen. The cars stuck together and slid to a halt, leaving skid marks angled 35掳 north of east. How fast was Volkswagen going just before the impact?

A spaceship of mass 2.0 脳 106 kg is cruising at a speed of 5.0 脳 106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.0 脳 105 kg, is blown straight backward with a speed of 2.0 脳 106 m/s. A second piece, with mass 8.0 脳 105 kg, continues forward at 1.0 脳106 m/s. What are the direction and speed of the third piece?

Air-track gliders with masses 300g,400g,and200gare lined up and held in place with lightweight springs compressed between them. All three are released at once. The 200gglider flies off to the right while the300g glider goes left. Their position-versus-time graphs, as measured by motion detectors, are shown in FIGURE P11.44. What are the direction (right or left) and speed of the 400 g glider that was in the middle?

(600g)(4.0m/s)=(400g)(3.0m/s)+(200g)vix2

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem, including a pictorial representation.
See all solutions

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