Potential energy is energy stored in an object due to its position or arrangement. Kinetic energy is energy of an object due to its movement - its motion. All types of energy can be transformed into other types of energy.
Answer:
c. remains the same, but the RPMs decrease.
Explanation:
Because there aren't external torques on the system composed by the person and the turntable it follows that total angular momentum (I) is conserved, that means the total angular momentum is a constant:

The total angular momentum is the sum of the individual angular momenta, in our case we should sum the angular momentum of the turntable and the angular momentum of a point mass respect the center of the turntable (the person)
(1)
The angular momentum of the turntable is:
(2)
with I the moment of inertia and ω the angular velocity.
The angular momentum of the person respects the center of the turntable is:
(3)
with r the position of the person respects the center of the turntable, m the mass of the person and v the linear velocity
Using the fact
:
(3)
By (3) and (2) on (1) and working only the magnitudes (it's all that we need for this problem):


Because the equality should be maintained, if we increase the distance between the person and the center of the turntable (r), the angular velocity should decrease to maintain the same constant value because I and m are constants, so the RPM's (unit of angular velocity) are going to decrease.
Answer:
B. it increases
Explanation:
Remember that momentum = mass * velocity. So momentum and velocity are directly proportional, so as velocity increases, so will momentum of the object.
Answer:
Yes that's right. Not really sure what your looking for as far as a reason goes. You performed the correct operations and got the right answer.
Explanation:
Let
= distance traveled while accelerating
= distance traveled while decelerating
The distance traveled while accelerating is given by



We need the velocity of the rocket after 30 seconds and we can calculate it as follows:

This will be the initial velocity when start calculating for the distance it traveled while decelerating.


Solving for
we get


Therefore, the total distance x is

