Kinetic Energy Homework: Solving Problems with Velocity and Potential Energy"

In summary, the conversation discusses the concept of projectile motion and how to solve for the velocity and height of a stone thrown into the air. The first stone is moving at its maximum height due to the forces acting on it at the instant it reaches that height. The second stone requires breaking its initial velocity into horizontal and vertical components to solve for its motion. One key factor in projectile motion is that horizontal and vertical motion are independent of each other.
  • #1
epix
4
0

Homework Statement



[PLAIN]http://img218.imageshack.us/img218/249/photoxl.jpg

Homework Equations



vmax = Sq(2gh)
Ei=Ef
mgh=mgh+.5mv^2
 
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  • #2
For the first stone, how is it 'moving' at it's max height? Think about how the forces are acting and how the stone would be moving at the INSTANT it reaches its max height, this should give you a good hint as to how to treat the second stone.

For the case of the second stone you need to break it down into horizontal and vertical components. The motion of the second stone isn't entirely in the vertical direction, there is also a component in the horizontal direction. Break the initial velocity Vo into its vertical and horizontal components. What is 1 significant thing to remember about projectile motion? Apply that to find your solution.
 
  • #3
Attached is my solution to the two questions. I strongly suggest you try to solve the problems on your own before going through my solution.
 

Attachments

  • QBoard1.pdf
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What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is a scalar quantity that depends on the mass and velocity of the object.

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.

What are some real-life examples of kinetic energy?

Some examples of kinetic energy in everyday life include a moving car, a swinging pendulum, a bouncing ball, or a person running.

Can kinetic energy be converted into other forms of energy?

Yes, kinetic energy can be converted into other forms of energy such as potential energy, thermal energy, or electrical energy. For example, when a ball is thrown upwards, its kinetic energy is converted into potential energy as it gains height.

How does temperature affect kinetic energy?

According to the kinetic theory of gases, temperature is directly proportional to the average kinetic energy of molecules in a substance. This means that as temperature increases, the average kinetic energy of molecules also increases.

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