1. Understand the Forces
* Weight (Force of Gravity): This acts downwards and is calculated as:
Weight (W) = mass (m) * acceleration due to gravity (g) = 112.0 kg * 9.8 m/s² = 1097.6 N
* Air Resistance: This acts upwards and is given as one-fourth of the weight:
Air Resistance (R) = (1/4) * 1097.6 N = 274.4 N
2. Calculate the Net Force
The net force is the difference between the downward force of gravity and the upward force of air resistance:
* Net Force (F_net) = Weight (W) - Air Resistance (R)
* F_net = 1097.6 N - 274.4 N = 823.2 N
3. Apply Newton's Second Law
Newton's Second Law states: F_net = mass * acceleration (a)
* To find the acceleration, rearrange the equation: a = F_net / mass
* a = 823.2 N / 112.0 kg = 7.36 m/s²
Therefore, the acceleration of the two skydivers with their parachute is 7.36 m/s².