A falling skydiver is accelerating in the downward direction at 3.29 m/s^2. The mass of the skydiver (including parachute gear) is 67.2 kg. Determine the air resistance force on the skydiver (and accompanying parachute).

Answers

Answer 1

Answer:

The force due to air resistance on the skydiver is 438.1 N.

Explanation:

You need to balance forces. If we use the following notation:

Net force on skydiver = F

Force on skydiver due to gravity = F(grav)

Force on skydiver due to friction or air resistance = F(air)

Then:

F = F(grav) - F(air)

because the force of air resistance acts against the force from gravity. You can rearrange this to get:

F(air) = F(grav) - F

Then you can use the equation F = ma to get:

F(air) = ma(grav) - ma

where:

m = mass of skydiver (given in question) = 67.2kg

a(grav) = acceleration of an object due to gravity = g = 9.81 m/s/s on Earth

a = actual acceleration (given to you in question) = 3.29 m/s/s

Simplify the equation to get:

F(air) = m * [g - a]

F(air) = 67.2 * [9.81 - 3.29]

F(air) = 67.2 * [6.52]

F(air) = 438.1 N

Answer 2

When the parachute is opened, the surface area increases, which increases air resistance.

The force due to air resistance on the skydiver is 438.1 N.

What happens to air resistance when a parachute opens?When the parachute is opened, the surface area increases, which increases air resistance. Because air resistance has surpassed weight, the resulting force acts upwards. The parachutist slows down; a lower velocity means less air resistance. At a lower terminal velocity, air resistance and weight become equal.However, the faster the parachute falls, the more drag it creates. The drag force resists gravity's downward movement, pushing the parachute back up. The drag of the parachute increases as it falls until it just balances out the pull of gravity.

Net force on skydiver = F

Force on skydiver due to gravity = F(grav)

Force on skydiver due to air resistance = F(air)

Then:

F = F(grav) - F(air)

because the force of air resistance acts against the force from gravity. You can rearrange this to get:

F(air) = F(grav) - F

Then you can use the equation F = ma to get:

F(air) = ma(grav) - ma

where:

m = mass of skydiver (given in question) = 67.2kg

a(grav) = acceleration of an object due to gravity = g = 9.8m/s^2 .

a = actual acceleration (given to you in question) = 3.29 m/s/s

Simplify the equation to get:

F(air) = m * [g - a]

F(air) = 67.2 * [9.81 - 3.29]

F(air) = 67.2 * [6.52]

F(air) = 438.1 N.

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