Archimedes tells us the lifting power of a balloon (how much mass it can lift) is equal to the difference between the mass of the balloon and the mass of the air it displaces. That is, if the balloon occupies the same volume as  10kg  of air, but the balloon only weighs  2kg , then the balloon can lift  8kg . Airships have sometimes been filled with hydrogen ( H2 ), but hydrogen is very flammable, and after the Hindenburg caught fire and crashed in  1937  with serious loss of life airships have nearly always been filled with helium ( He ) instead.   gas density H2 0.090kgm3 He 0.18kgm3 air 1.23kgm3 Suppose a new airship Star of Balogna will have the shape of a cylinder  100.m  long, with a radius of  15.0m , and will weigh  9100.kg  without any gas inside it. Suppose also the average passenger weighs  81kg . Calculate how many passengers the Balogna could carry if it were filled with hydrogen, and also if it were filled with helium.

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!