4) A 48 kg diver jumps off a cliff (with a running start) into the ocean. The cl

Question

4) A 48 kg diver jumps off a cliff (with a running start) into the ocean. The cliff is 50 m above the ocean below. Her coach, using a video of the dive, determines that at a point in flight when she has risen 0.7 m above the cliff, her speed (center of mass) is 0.5 m/s Frictional effects such as drag are negligible in potential energy. a) How much kinetic energy did she have at takeoff What was her speed? b) How much kinetic energy will she have as she splashes into the ocean? c) What minimum amount of chemical energy needed to be consumed within the diver's body in order for her to walk to the cliff, from ocean level, and then take off (jump)? Explain how you know 2

Explanation / Answer

4) (A) Applying energy conservation,

PEi + KEi = PEf + KEf

0 + KE = (48 x 9.81 x 0.7) + (48 x 0.50^2 / 2)

KE = 335.62 J

(B) 0 + 335.63 = (48 x 9.81 x -50) + KE

KE = 23879.6 J

(C) Work done = change in KE = 23544 J

this work is need to reach there.

hence Ans: 23544 J

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