A 75 kg skydiver in free fall is subjected to a crosswind exerting a force of

60 N and to a vertical air resistance force of 100 N. Calculate the resultant
force acting on the skydiver [6 marks] and his angle of fall (relative to
vertical) [6 marks].

1 answer

Thee forces act on the skydiver:
Weight = M g = 735 N down
Vertical air resistance = 100 N up
(Net vertical force = 635 N down)
Horizontal wind force = 60 N
Resultant force = sqrt[(635^2 + 60^2] = 637.8 N

Ultimately, the skydiver will fall in the direction of the resultant force, arctan(60/635) = 5.4 degrees from vertical
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