A ball with a mass of # 6 kg# is rolling at #2 m/s# and elastically collides with a resting ball with a mass of # 8 kg#. What are the postcollision velocities of the balls?
The post collision velocities of the balls are
As the collision is elastic, there is conservation of momentum and conservation of kinetic energy
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To find the postcollision velocities of the balls, you can use the conservation of momentum and kinetic energy principles.
 Calculate the total momentum before the collision.
 Apply conservation of momentum to find the velocities after the collision.
 Use the conservation of kinetic energy to solve for the velocities.
Given:
 Mass of ball 1 (rolling): m1 = 6 kg
 Initial velocity of ball 1: v1 = 2 m/s
 Mass of ball 2 (resting): m2 = 8 kg

Total momentum before the collision: p_initial = m1 * v1 + m2 * v2 (since ball 2 is at rest initially)

Apply conservation of momentum: p_initial = p_final m1 * v1 + m2 * v2_initial = m1 * v1_final + m2 * v2_final

Use conservation of kinetic energy: (1/2) * m1 * v1^2 + (1/2) * m2 * v2_initial^2 = (1/2) * m1 * v1_final^2 + (1/2) * m2 * v2_final^2
Solve these equations simultaneously to find the velocities of the balls after the collision.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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