# A ball with a mass of # 3 kg# is rolling at #16 m/s# and elastically collides with a resting ball with a mass of # 8 kg#. What are the post-collision velocities of the balls?

By signing up, you agree to our Terms of Service and Privacy Policy

(v_{1f} = \frac{{m_1 - m_2}}{{m_1 + m_2}} \cdot v_{1i} + \frac{{2 \cdot m_2}}{{m_1 + m_2}} \cdot v_{2i})

(v_{2f} = \frac{{2 \cdot m_1}}{{m_1 + m_2}} \cdot v_{1i} + \frac{{m_2 - m_1}}{{m_1 + m_2}} \cdot v_{2i})

Substitute values:

(v_{1f} = \frac{{3 - 8}}{{3 + 8}} \cdot 16 + \frac{{2 \cdot 8}}{{3 + 8}} \cdot 0)

(v_{2f} = \frac{{2 \cdot 3}}{{3 + 8}} \cdot 16 + \frac{{8 - 3}}{{3 + 8}} \cdot 0)

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided 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 one-sided 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 one-sided 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.

- A ball with a mass of #8 kg# moving at #3 m/s# hits a still ball with a mass of #15 kg#. If the first ball stops moving, how fast is the second ball moving?
- A ball with a mass of #5 kg# moving at #2 m/s# hits a still ball with a mass of #3 kg#. If the first ball stops moving, how fast is the second ball moving?
- What impulse occurs when an average force of 9 N is exerted on a 2.3 kg cart, initially at rest, for 1.2 s? What change in momentum does the cart undergo? What is the cart's final speed?
- A ball with a mass of #3 kg# moving at #8 m/s# hits a still ball with a mass of #18 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
- An object with a mass of #5 kg# is traveling at #2 m/s#. If the object is accelerated by a force of #f(x) = x^2 -x +3 # over #x in [1, 9]#, where x is in meters, what is the impulse at #x = 8#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7