**Problem 12**A 5 kg ball moving to the right at a speed of 6 m/s strikes another 4 kg ball moving to the left at 5 m/s. What is the velocity of each ball after the elastic collision?*Solution:*To solve this problem, we can use the conservation of momentum and the conservation of kinetic energy, which apply to elastic collisions.1. **Conservation of Momentum:** \[ m_1 \cdot v_{1i} + m_2 \cdot v_{2i} = m_1 \cdot v_{1f} + m_2 \cdot v_{2f} \] Where: - \( m_1 = 5 \, \text{kg} \) - \( v_{1i} = 6 \, \text{m/s} \) - \( m_2 = 4 \, \text{kg} \) - \( v_{2i} = -5 \, \text{m/s} \) (negative because it's moving to the left) - \( v_{1f} \) and \( v_{2f} \) are the final velocities of balls 1 and 2, respectively.2. **Conservation of Kinetic Energy:** \[ \frac{1}{2} m_1 v_{1i}^2 + \frac{1}{2} m_2 v_{2i}^2 = \frac{1}{2} m_1 v_{1f}^2 + \frac{1}{2} m_2 v_{2f}^2 \]By solving the system of equations derived from these two principles, you can find the final velocities \( v_{1f} \) and \( v_{2f} \).

An elastic collision is a collision in which the kinetic energy and linear momentum of the colliding…

Answered: 12) A 5 kg ball moving to the right at…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

20) Suppose a cart with mass m and low-friction wheels is moving to the right at an initial speed of Iv0I just before it hits a cart with mass 2m. After the collision, the first cart rebounds to the left with a speed of 1/3 I v0 I Assume each cart receives zero net momentum from any external interactions (such as gravitational and contact interactions) other than their collision interaction. (a) What impulses did the collision interaction deliver to each cart? The impulse delivered to the light cart is ____m (left or right) The impulse delivered to the massive cart is ____m (left or right) (b) From this, infer the massive cart’s final velocity (express its magnitude in terms of and its direction as being “left” or “right”). The massive carts velocity is ____. (left or right)
Two bowling balls engines, both mass of 1.5kg, collide head on and recoil. The collision is elastic. Ball one is initially moving at 2.00 m/s forwards and ball two at 4.00 m/s in the reverse direction. A) what is the initial momentum B) find the velocities of both falls after the impact. Show calculation
A billiard ball rolling across a table at 1.70 m/s makes a head-on elastic collision with an identical ball. Find the speed of each ball after the collision when each of the following occurs. (a) The second ball is initially at rest. first ball m/s second ball m/s (b) The second ball is moving toward the first at a speed of 1.15 m/s. first ball m/s second ball m/s (c) The second ball is moving away from the first at a speed of 0.95 m/s. first ball m/s second ball m/s
A 2.00-g particle moving at 5.40 m/s makes a perfectly elastic head-on collision with a resting 1.00-g object. (Assume the 2.00-g particle is moving in the positive direction before the collision. Indicate the direction with the sign of your answer.) (a) Find the velocity of each particle after the collision. 2.00-g particle 1.00-g particle m/s m/s (b) Find the velocity of each particle after the collision if the stationary particle has a mass of 10.0 g. 2.00-g particle 10.0-g particle m/s m/s (c) Find the final kinetic energy of the incident 2.00-g particle in the situations described in parts (a) and (b). KE in part (a) KE in part (b) J J In which case does the incident particle lose more kinetic energy? case (a) case (b)
2.) Cart 1 with mass of 4 kg moves along a frictionless track with a velocity of 2 m/s. collides with Cart 2 with a mass 3 kg moving in the same direction at a speed of 1 m/s . After the collision, Cart 1 continues in the same direction with a velocity of 1 m/s . What is the velocity of Cart 2 after the collision?
3) A coconut with a firework in it is sitting still and then explodes into three pieces. The first piece has a mass of 1.00kg, the second 2.00kg and the third 3.00kg. The first piece flies in the negative y-direction at a speed of 4.00 m/s, the second piece flies In the negative x-direction at a speed of 6.00 m/s. a. What is the initial momentum of the coconut before the explosion? What will be the total momentum after the explosion? b. Find the x-comoponent of the the third pieces velocity. С. Find the y-componnent of the third pieces velocity. d. What is the magnitude and direction of the third pieces total velocity?
A 200,000 kg railroad car moving at 3.00 m/s couples up with (sticks together) with another 150,000 kg car at rest. What is the final speed of the two cars immediately after the collision?
13) A 14.2 kg sheep dog is running to the right at 1.78 m/s. A 10.7 kg collie is running to the left at 2.14 m/s. If the dogs collide head-on in a perfectly elastic collision, what is the final velocity of the collie after the collision? A) 4.43 m/s B) 2.34 m/s C) 1.73 m/s D) 1.27 m/s E) 2.08 m/s
A truck with a mass of 1570 kg and moving with a speed of 17.5 m/s rear-ends a 652 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. (a) Calculate the initial momentum of the truck (in kg m/s). kg m/s (b) Calculate the final velocities (in m/s) for the truck and the car. Vf = m/s Vf = m/s (c) Calculate the total momentum (in kg m/s) of the truck AND the car after the collision. kg m/s (d) Did you expect the results that you got for Part (a) and (c)? O No, since kinetic energy may not be conserved. O Yes, since the collision is inelastic. O No, since there were no forces acting on either the car or the truck during the collision. O Yes, since momentum is conserved in a collision with no external forces acting on the colliding objects.
What is true about the total momentum before and after the collision?
A truck with a mass of 1480 kg and moving with a speed of 17.0 m/s rear-ends a 732 kg car stopped at an intersection. The collision is approximately elastic since the car is in neutral, the brakes are off, the metal bumpers line up well and do not get damaged. (a) Calculate the initial momentum of the truck (in kg m/s). kg m/s (b) Calculate the final velocities (in m/s) for the truck and the car. vtf= m/svcf= m/s (c) Calculate the total momentum (in kg m/s) of the truck AND the car after the collision. kg m/s (d) Did you expect the results that you got for Part (a) and (c)? Yes, since the collision is inelastic. No, since there were no forces acting on either the car or the truck during the collision. Yes, since momentum is conserved in a collision with no external forces acting on the colliding objects. No, since kinetic energy may not be conserved.
9-5 Elastic Collisions in One Dimension Example 9-7: Equal masses. Billiard ball A of mass m moving with speed v, collides head-on with ball B of equal VA mass. What are the speeds of the two balls after the collision, assuming it is elastic? Assume (a) both balls are moving initially (va and vg), (b) ball B is initially at rest (vg = 0).

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS

12) A 5 kg ball moving to the right at a speed of 6 m/s strikes another 4 kg ball moving to the left at 5 m/s. What is the velocity of each ball after the elastic collision?