Q2
An 80 kg person is parachuting and is experiencing a
downward acceleration of 2.8 m s-2. The mass of the
parachute is 5 kg. The upward force on the open parachute is
(Take g = 9.8 m s-2)
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595 N
675 N
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Answer:
Let:
m be the mass of the parachute,
M be the mass of the person,
P be the upward force on the parachute from the air,
T be the tension in the parachute cord,
F be the downward force on the parachute from the person,
g be the acceleration due to gravity,
a be the downward acceleration of the person and parachute.
For the parachute:
T + mg - P = ma ...(1)
For the person:
Mg - T = Ma ...(2)
(a)
Adding (1) and (2) to eliminate T:
(M + m)g - P = (M + m)a
P = (M + m)(g - a)
= (80 + 5)(9.8 - 2.5)
= 620.5 N
Explanation:
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