Consider two vectors ⃗: (30 , 600 ℎ) and⃗⃗⃗⃗: (50 , 600 ℎ ). Calculate the magnitude and direction of the vector ⃗ =
1
3
⃗ − 4⃗⃗

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.

Calculate a pendulums frequency of oscillation (in hz) if the pendulum completes one cycle in 0.5s.

Abeam of electrons moves at right angles to a magnetic field of 4.5 × 10-2 tesla. if the electrons have a velocity of 6.5 × 106 meters/second, what is the force acting on the electrons? the value of q = -1.6 × 10-19 coulombs.