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
