Please help; Physics Mechanics Forces

Trig Formulas: Newton's Laws: Weight: sin 0 = opposite hypotenuse CF =0 -a=0 Fa = mg cos ! = adjacent hypotenuse EF = ma Constants: tan 0 = 9 opposite adjacent From1 = -Flon2 g = 9.81 m/ s 1. (3 pts) In each case, three forces act on a 1 kg object to give it the specified acceleration, but only two are shown. Note that the grid has units of 1 N. Draw in the missing vector (F3). Fy (N) Fy (N) F1 Fx (N) Fx (N Fx (N ) a) b ) c) ax = 3 m/$2 ax = -4 m/s2 The object is stationary. dy = -1 m/$2 ay = +3 m/s2 2. (6 pts) A 65 kg woman is hanging by ropes attached to a burning building and being held by a very strong firefighter. For the moment she is safe and is not moving in any direction. One rope is making an angle of 35 with the vertical surface of the building. The other is completely horizontal. Your job is to find the Tension in the two ropes (Hint: They will not be the same) labeled as T, and T2. 350 T2 (4 pts) A 5.0 kg crate is accelerating along a frictionless floor. If the applied forces are F1 = 20.0 N and F2 = 20.0 N (a) what is the Normal Force? (b) What is the magnitude and direction for the acceleration of the crate? F1 65.0 5.00 kg F2 4. (4 pts) You pull a 65 kg box up a frictionless ramp at an angle of 15 with a rope that is parallel to the incline and with a tension equal to 250 N. What is the box's acceleration up the ramp? Free Body Diagram O