Question

Phy.201 A"Bozo "B", and guy "C (82 kg each) stand with c.o.m. 9m above the floor. Trapeze Artiste A" swings gracefully on an 8m rope, so his feet reach the floor with horizontal veloo A" swings graand falls straight down into a barrel of water (surface 1m above floor). B" misses his rope 1) Calculate Bozo's KE and yelocity as he reaches the water. 2 Calculate Artiste's KE and momentum as he reaches the floor (c.o.m. 1 m above floor). 3) What friction Force would be able to stop Artiste gracefully in 12 meters? guy "C" swings on his rope like "A", but enters a "cannon barrel" with a spring inside. 4) What spring stiffiess is needed, to compress 3m while stopping the cannon guy? 5) What maximum Force does cannon-guy experience in the cannon barrel? 6) An atom has-0 at r = 0.4 [nm] in PE function (2)). a) Draw the Force arrow applied to the atom, there. 10 b) the atom will have maximum KE atr- c) estimate that maximum KE_ d) the atom will experience the strongest Force- e) estimate that strongest Force (include units!) -2 -3

Answer 1

1.

Using conservation of energy

Potential energy at the top = Potential energy at the surface of water + kinetic energy

mgH = mgh + KE

82 (9.8) (9) = (82 x 9.8) (1) + KE

KE = 6428.8 J

kinetic energy is given as

KE = (0.5) m v² = 6428.8

(0.5) (82) v² = 6428.8

v = 12.5 m/s