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 A skydiver is jumping out of a plane. During the first few seconds of one jump, the parachute is unopened, and the magnitudfe of the air res

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A skydiver is jumping out of a plane. During the first few seconds of one jump, the parachute is unopened, and the magnitudfe of the air resistance acting on the sky diver is 251N. The acceleration of the skydiver during this time is 5.96m/s2 [down]. Calculate the mass of the skydiver.

 Oct 27, 2014

Best Answer 

 #1
avatar+676 
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let $$m$$ = mass of skydiver 
Skydiver's gravitational acceleration downward = 9.80 m/s² 
Skydiver's net downward acceleration = 5.96 m/s² 
Upward acceleration on skydiver due to air resistance = $$a$$ = 9.80 - 5.96 = 3.84 m/s² 
Upward force on skydiver due to air resistance = $$f$$ = 251 N 
$$f$$ = ma 
$$m$$ = $$f/a$$ 251/3.84 = 65.4 kg ANS
 Oct 27, 2014

1+0 Answers

 #1
avatar+676 
+5
Best Answer
let $$m$$ = mass of skydiver 
Skydiver's gravitational acceleration downward = 9.80 m/s² 
Skydiver's net downward acceleration = 5.96 m/s² 
Upward acceleration on skydiver due to air resistance = $$a$$ = 9.80 - 5.96 = 3.84 m/s² 
Upward force on skydiver due to air resistance = $$f$$ = 251 N 
$$f$$ = ma 
$$m$$ = $$f/a$$ 251/3.84 = 65.4 kg ANS
TakahiroMaeda Oct 27, 2014

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