A 78-kg parachutist, in the first few seconds
of her jump, accelerates at a rate of 7.4 m/s2
[down]. Calculate the force she experiences
due to air resistance.
ma=mg-F(res)
F(res) = m(g-a) = 78(9.8-7.4) = 187.2 N
To calculate the force experienced by the parachutist due to air resistance, we can use Newton's second law of motion, which states that the force (F) is equal to the mass (m) multiplied by the acceleration (a).
In this particular case, the mass of the parachutist is given as 78 kg, and the acceleration due to gravity is approximately 9.8 m/s^2. However, in this question, we are interested in the acceleration due to air resistance, which is given as 7.4 m/s^2.
To find the force due to air resistance, we can use the formula:
F = m * a
F = 78 kg * 7.4 m/s^2
F = 577.2 N
Therefore, the force the parachutist experiences due to air resistance is 577.2 Newtons.
To calculate the force experienced by the parachutist due to air resistance, we can use Newton's second law of motion, which states that the force is equal to the mass multiplied by the acceleration.
Given:
Mass of the parachutist (m) = 78 kg
Acceleration (a) = 7.4 m/s^2 (downward)
The force experienced by the parachutist due to air resistance can be calculated as follows:
Force = mass x acceleration
Substituting the given values:
Force = 78 kg x 7.4 m/s^2
Now, we can calculate the force:
Force = 577.2 N
Therefore, the parachutist experiences a force of 577.2 N due to air resistance.