Kinetic Energy and a Collision

In summary, the problem involves an elastic collision between an 8.5 kg steel ball traveling at 12 m/s and a stationary 5 kg steel ball. The total kinetic energy of both balls after the collision can be calculated using the equation 1/2mvi2+1/2mvii2=KE. The answer is 612 J to the nearest Joule. To solve for the velocity of the first ball after collision, momentum must also be conserved. Using the same method, the velocity of the first ball is approximately 4.2 m/s and the velocity of the second ball is approximately 3.9 m/s.
  • #1
fizziksr0cks
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Homework Statement


A 8.5 kg steel ball, traveling left to right at 12 m/s, undergoes an elastic collision with a 5 kg steel ball at rest. To the nearest Joule, what is the Total Kinetic Energy of the two balls after collision? If the first ball has a mass of 10 kg and the second ball is traveling at it with a speed of 3 m/s, what is the velocity, to one decimal place, of the first ball after collision? What is the velocity of the second ball to one decimal place?

Homework Equations



1/2mvi2+1/2mvii2=KE

The Attempt at a Solution


Question 1:
1/2 (8.5)(122)= 612 J
Question 2 & 3:
I'm not sure the equation needed to solve for the needed. I'm pretty sure that if I can get question 2 then the same method will be used to solve question 3.
 
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  • #2
For questions 2 and 3 you need to conserve momentum in addition to energy conservation.
 

1. What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is a scalar quantity and is dependent on an object's mass and its velocity.

2. How is kinetic energy calculated?

Kinetic energy is calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

3. What is the relationship between kinetic energy and velocity?

The kinetic energy of an object is directly proportional to its velocity. This means that as an object's velocity increases, its kinetic energy also increases.

4. What happens to kinetic energy in a collision?

In a collision, kinetic energy is conserved. This means that the total kinetic energy before the collision is equal to the total kinetic energy after the collision, even if the objects involved in the collision change their velocities.

5. How is kinetic energy related to momentum in a collision?

In a collision, kinetic energy and momentum are related. The law of conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision. This means that if kinetic energy is conserved in the collision, then momentum is also conserved.

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