Solve the following questions with step-by-step work shown for each:

1.

A flywheel (/ = 50 kgm" starting from rest acquires an angular velocity of 213 rad/s while subject to a constant torque from a motor for $ s. a. What is the angular acceleration of the flywheel? rod/s? b. What is the magnitude of the torque? T= N m Add WorkA uniform rod of mass 1.3 kg and length 2.9 m is free to rotate about one end, If the rod is released from rest at an angle of 60* with respect to the horizontal, what is the speed of the tip of the rod as It passes the horizontal position? m/s Add WorkThe acceleration due to gravity on the surface of planet is 3 times as large as it is on the surface of Earth, The mass density of the planet is known In be 1.5 times that of Earth, What is the radius of this planet in terms of Earth's radius? RE Add WorkA m. =55.4 kg astronaut floats a distance of a = 23 m from a m. = 72000 kq space shuttle. What is the force that the space shuttle exerts on the astronaut? N What is the force the astronaut exerts on the space shuttle? N Add Work