What is Kinetic Energy?

Kinetic energy is energy of motion. If an object has velocity, it has kinetic energy. An object's mass and velocity affect the amount of kinetic energy that an object has. The formula for kinetic energy is .5mv2 where m is the mass in kilograms and v is the velocity in meters per second. The kinetic energy of an object is also equivalent to the amount of work that that something performed on it, excluding the force needed to overcome friction. Kinetic energy units are joules.

 

Examples:

KE = .5mv2

KE = .5(100 kg)(5 m/s)

KE = .5(2500 kg m2/s2)

KE = 1250 kg m2/s2 or 1250 joules

 

Walk-through Discussion

    1. Position one of the characters on an end of the lever.
    2. Then hit the other end of the lever so the character flies off the lever.

We know an object has a mass of 10 kg and is moving at 5 meters per second how much kinetic energy does this object have?

KE = .5mv2

KE = .5(10 kg)(5 m/s)2

KE = (5 kg)(25 m2/s2)

KE = 125 kg m2/s2 or 125 joules

What it Leads Up To

Kinetic energy leads up to:

 

 

Kinetic Energy

Content Worksheet

  1. Kinetic energy is energy of _______________.
  2.  

  3. If an object has _________, it has kinetic energy.
  4.  

  5. ___________ and ___________ affect the amount of kinetic energy in an object.
  6.  

  7. The formula for kinetic energy is ____________.
  8.  

  9. __________ has more effect on kinetic energy than _____________.
  10.  

  11. ___________ need to be shown in a kinetic energy problem.
  12.  

  13. ________ _______ and ___________ are two ways to transfer kinetic energy.
  14.  

  15. The kinetic energy on one side of a lever is ________ to the kinetic energy on the other side.
  16.  

  17. A still object has __________ kinetic energy.
  18.  

  19. Write one example of how you use kinetic energy in your life.

 

Kinetic Energy

Applications Worksheet

  1. Mr. Smith wants to find out how quickly he can propel an object off a lever if he drops his book on the other end. His book has a mass of 5 kilograms and hits the lever with a speed of 10 meters per second. The object he wishes to launch has a mass of 2 kilograms. What is the initial launch speed of the object?

 

 

 

 

 

 

 

 

 

  1. Joe is playing baseball. He wants to know how fastel off a tee at 20 meters per second. The ball has a mass of .3 kilograms and the bat has a mass of 5 kilograms. How fast must the point of impact on his bat move if he wants the ball to move at 20 meters per second?

 

 

 

 

Kinetic Energy

Content Worksheet

Answer Key

  1. motion
  2.  

  3. velocity
  4.  

  5. mass; velocity
  6.  

  7. KE = .5mv2
  8.  

  9. velocity; mass
  10.  

  11. units
  12.  

  13. direct contact; levers
  14.  

  15. equal
  16.  

  17. no
  18.  

  19. answers will vary

 

Kinetic Energy

Applications Worksheet

Answer Key

1. Solution: 15.8 meters per second

KE = .5mv2

KE of the book is .5(5 kg)(10 m/s)2

KE = (2.5 kg)(100 m2/s2)

KE = 250 kg m2/s2

Therefore, the kinetic energy of the object on the other side is 250 kg m2/s2

250 kg m2/s2 = .5(2 kg)v2

Solve for v

250 kg m2/s2 = 1 kg (v2)

250 m2/s2 = v2

v =  

v = 15.81134 m/s

The velocity of the object is about 15.8 meters per second.

  1. Solution: 4.9 meters per second

KE = .5mv2

KE of the ball needs to be .5(.3 kg)(20 m/s)2

KE = .15 kg (400 m2/s2)

KE = 60 kg m2/s2

This means the kinetic energy of the place the bat hits the ball must be 60-kg m2/s2

60 kg m2/s2 = .5(5 kg)v2

60 kg m2/s2 = 2.5 kg v2

24 m2/s2 = v2

v = 4.89898 m/s

The point of impact must be moving at about 4.9 meters per second.