Consider three force vectors F1 with magnitude 51 N and direction 150◦ , F2 with magnitude 36 N and direction −41◦ , and F3 with magnitude 11 N and direction 110◦ . All direction angles θ are measured from the positive x axis: counter-clockwise for θ > 0 and clockwise for θ < 0.

a. What is the magnitude of the resultant vector F~ = F1 + F2 + F3?
b. What is the direction of the net force vector F?

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A17,250 kg rocket is pushed with a thrust of 6,450,284 n. what is the acceleration of the rocket?

Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. the first has a mass of 2.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. assume that the positive direction is directed from the second satellite towards the first satellite. (a) calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.(b) what is the loss of kinetic energy in this inelastic collision? (c) repeat both parts, in the frame of reference in which the second satellite was originally at rest. final velocity(d) loss of kinetic energy = ?