PROBLEMS WITH BALLOONS

WEIGHTS – ANTI-BALOONS If Each Balloon lightens a person by 4 lbs then little 4 pound barbell “donuts” can be used to counteract those affects. Of course I can also counter-act those effects by eating actual donuts!

YOU WEIGH 100 LBS. EVERY MINUTE YOU GAIN 5LBS BUT WEIGHT IS ALWAYS ADDED ALONG WITH BALLOONS IN A RATIO OF 1.25 LIFTING POUNDS TO EACH 1LB OF WEIGHT. HOW LONG WILL IT BE BEFORE YOU START RISING?

SOFT GROUND? SUPPOSE ONCE YOU WEIGH A CERTAIN WEIGHT YOU BEGIN TO SINK. TO BE SPECIFIC SUPPOSE THAT FOR EVERY POUND OVER 100 YOU SINK AT THE SAME SPEED THAT YOU WOULD RISE IF YOU HAD THAT NEGATIVE WEIGHT.

LEAKY BALLOONS A Man who weighs 200 lbs is attached to 26 Balloons each of which can lift 4 lbs. Part of the man’s weight is due to the 20 pounds of sand in his pockets. That sand is leaking out of his pants at a constant rate and will be totally gone in exactly 5 minutes. There is also a leak in the balloons which are loosing lift at a rate of 2 pounds per minute. Produce a graph of the man’s height versus time.

PROBABLY BALLOONS A baby weighs 10 pounds and is to be attached to a balloon that has a random lifting power of between 5 and 13 pounds with each lifting power in this range being equally likely. What are the chances the baby will rise? What if we attach two such balloons?