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:
-2π ≤ ∅ ≤ 3π/2
0 ≤ ∅ ≤ π/2
Explanation:
In simple harmonic motion, the displacement and velocity vectors are as follows:

where ∅ is the phase angle. At t = 0, the initial displacement and velocity are

According to two equations, we need to find the ∅ values which makes both cosine and sine terms positive.
So, ∅ is in the range: [-2π, -3π/2] and [0,π/2]
Answer:
The wooden floor exerts a greater force to give the same impulse as a padded mat.
Explanation:
-The wooden floor exerts a greater force for the same impulse as the padded mat.
-Unlike the wooded floor, the padded mat absorbs some of the energy when you fall. This in turn makes it exert less force on the body during the fall.
-Hence, you are less hurt when you fall on the padded floor.
Answer:
I agree
Explanation:
I agree because most of the times girls pass more time with their mom since they hace more things in common, it’s the same with the boys.