Just after opening a parachute of negligible mass, a parachutist of mass 91.0 kg experiences an...
Just after opening a parachute of negligible mass, a parachutist of mass 91.0 kg experiences an instantaneous upward acceleration of 0.87 m/s2. Find the force of the air on the parachute.
magnitude:
direction:
Homework Answers
Solution:
Let the upward force of the air = Fa
(Fa > weight (mg) as there is an upward acceleration [= deceleration downward])
The resultant force on the body Fr = (Fa - mg) ↑
Fr = ma↑ = (Fa - mg)↑
Fa = m(a + g)↑ .. (ie Fa must = the weight [mg] and provide the accelerating force [ma])
Fa = 91.0 (9.81 + 0.87) ↑
Fa = 971.88 N upward
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