High-speed motion pictures (3500frames/second) of a jumping 270 u g flea yielded

Question

High-speed motion pictures (3500frames/second) of a jumping 270ug flea yielded the data to plot the flea's acceleration as a function of time as shown in the figure (Figure 1) . (See "The Flying Leap of the Flea," by M. Rothschild et al. in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the measurements shown on the graph to answer the questions.

Part A

Find the initial net external force on the flea.

Part B

How does it compare to the flea's weight?

Part C

Find the maximum net external force on this jumping flea.

Part D

When does this maximum force occur?

Express your answer using two significant figures.

Part E

Use the graph to find the flea's maximum speed.

Express your answer using two significant figures.

MUST SHOW STEPS PLEASE be as cleare as you can.

Explanation / Answer

a.) a = 62.5g

F = ma = (270 x 10^-9)(62.5*9.8) = 1.654 x 10^-4 N

b.) F/mg = ma/mg = a/g = 62.5

c.) amax = 137.5g

Fmax = mamax = (270 x 10^-9)(137.5*9.8) = 3.64 x 10^-4 N

d.) t = 1.125 ms

e.)

m(v/t) = 3.64 x 10^-4

SO v = 137.5*9.8*1.125x10^-3 = 1.515 m/s

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