Posted by **Donna** on Thursday, September 26, 2013 at 5:54pm.

Several people are riding in a hot-air balloon. The combined mass of the people and balloon is 284 kg. The balloon is motionless in the air, because the downward-acting weight of the people and balloon is balanced by an upward-acting 'buoyant' force. If the buoyant force remains constant, how much mass should be dropped overboard so the balloon acquires an upward acceleration of 0.28 m/s2?

- physics -
**bobpursley**, Thursday, September 26, 2013 at 5:56pm
weight=ma

but m is the weight left

weight=(284-Weight)*.28m/s^2

solve for weight

- physics -
**Donna**, Thursday, September 26, 2013 at 6:07pm
but if you have two variables how do you solve? I understand that force=ma so the normal force is (284)(9.8)=2783.2, but I don't really understand how to determine when acceleration is .28

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