A satellite in the shape of a solid sphere of mass 1,900 kg and radius 4.6 m is spinning about an axis through its center of mass. It has a rotation rate of 8.0 rev/s. Two antennas deploy in the plane of rotation extending from the center of mass of the satellite. Each antenna can be approximated as a rod of mass 150.0 kg and length 6.6 m. What is the new rotation rate of the satellite (in rev/s)

6.3 rev/s

Explanation:

The new rotation rate of the satellite can be found by conservation of the angular momentum (L):

The initial moment of inertia of the satellite (a solid sphere) is given by:

Where : is the satellite mass and r: is the satellite's radium

Now, the final moment of inertia is given by the satellite and the antennas (rod):

Where : is the antenna's mass and l: is the lenght of the antenna

So, the new rotation rate of the satellite is:

Therefore, the new rotation rate of the satellite is 6.3 rev/s.

I hope it helps you!  

magnified images possible images can be real = projected onto a screen

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min