Question

A hot air balloon resting on the ground has a 770 N lift force. The weight of the basket is 150 N, and the balloon plus the gas in it weigh 80 N. If a rider weighing 560 N gets in, which statement is correct?

A. The net force on the balloon is 20 N upward.
B. The net force on the balloon is 790 N upward.
C. The total weight of the balloon is 790 N upward.
D. The normal force of the ground on the balloon is 20 N upward.

I've can't find the solution to this problem, and I really need some help on it. I honestly don't think there is a correct answer, but if someone could explain it to me I'd be pretty grateful.

Answer 1

The solution would be like this for this specific problem:

F = [770 - (150 + 80 + 560)] N = -20 N (downward)

Since the balloon is not accelerating downward, there must be an equal and opposite normal force applied by the ground on the balloon, which would be 20 N (upward). If the air balloon is higher than the lift force, then the normal force of the ground on the balloon is 20 N upward