Aflashlight can be made that is powered by the induced current from a magnet moving through a coil of wire. the coil and magnet are inside a plastic tube that can be shaken causing the magnet to move back and forth through the coil. assume the magnet has a maximum field strength of 0.05 t. make reasonable assumptions and specify the size of the coil and the number of turns necessary to light a standard 1-watt, 3-v flashlight bulb.

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.