Final answer:
The net force on the balloon and the payload is 25.18 N upward, and the acceleration is approximately 3.65 m/s² upward, calculated using Newton's second law of motion.
Step-by-step explanation:
The net force and acceleration of the balloon and the payload can be found using Newton's second law of motion, which states that the net force on an object is equal to the mass of the object multiplied by its acceleration (F = ma). The mass of the payload lifted by the balloon is 6.9 kg, and the balloon exerts an upward force of 92.8 N. The force of gravity acting downward on the payload can be calculated by multiplying the mass of the payload (6.9 kg) by the acceleration due to gravity (9.8 m/s2), which is approximately 67.62 N. The net force can then be found by subtracting the force of gravity from the balloon's upward force (92.8 N - 67.62 N), yielding a net force of roughly 25.18 N acting upwards.
To calculate the acceleration, we use the formula a = F / m. Substituting the net force (25.18 N) and the mass (6.9 kg) into the formula gives us an acceleration of about 3.65 m/s^2 upward for the balloon and the payload.