Aplayground merry-go-round has a mass of 115 kg and a radius of 2.50 m and it is rotating with an angular velocity of 0.520 rev/s. the merry-go-round is a solid disk, and the moment of inertia is = 1/2 mr2. a 23.5 kg child is initially at rest, he then gets onto the merry-go-round by grabbing its outer edge. the child can be treated as a point mass located at the outer edge of the merry-go-round. his moment of inertia is mr2. after this rotational collision, the merry-go-round and the child have a commen final angular velocity (which is different from the merry-go-round's initital angular velocity). (e) what is the final angular velocity in rad/s after the child gets on?

Explanation:

For answer this we will use the law of the conservation of the angular momentum.

so:

where is the moment of inertia of the merry-go-round, is the initial angular velocity of the merry-go-round, is the moment of inertia of the merry-go-round and the child together and is the final angular velocity.

First, we will find the moment of inertia of the merry-go-round using:

I =

I =

I = 359.375 kg*m^2

Where is the mass and R is the radio of the merry-go-round

Second, we will change the initial angular velocity to rad/s as:

W = 0.520*2 rad/s

W = 3.2672 rad/s

Third, we will find the moment of inertia of both after the collision:

Finally we replace all the data:

Solving for :

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

your answer is, orbit around the nucleus