**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

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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

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Question 3 2 points An 8.0 kg cart moving right at a speed of 6.0 m/s on a horizontal frictionless surface hits another cart with mass 50 kg moving in opposite direction with speed 20 m/s Assume that the collision is perfectly elastic, what are the velocities of the two carts after collision? O a. vaky = -2.92 m/s' veleg= 6.9 m/s O b. Pukr = -0.15 m/s' vs leg = 7.8 m/s O va ke = 4.46 m/s' Vs lkg = 5.04 m/s O vale = 0.15 m/s' Ve kg = 4.15 m/s
7
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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
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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).
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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?