The motion of jumping insects is of interest not only to biologists, but also to

Question

The motion of jumping insects is of interest not only to biologists, but also to those who design robots. (Figure 1) shows the speed-versus-time graph for two different takeoff jumps of a 19-mg green leafhopper, as determined from high-speed videos.

Problem 5.78 The motion of jumping insects is of interest not only to biologists, but also to those who design robots. (Figure 1) shows the speed-versus-time graph for two different takeoff jumps of a 19-mg green leafhopper, as determined from high-speed videos. Figure 1 of 1 0.8 0.6 0.4 0.2 Jump 1 Jump 2 Time (ms) Part A What is the magnitude of the average net force acting on the leafhoppers body during jump 1? Express your answer to two significant figures and include appropriate units. Value Units Submit My Answers Give Up incorrect, Try Again 5 attempts remaining Part B What is the ratio of the force found in part A to the leafhopper's weight? Express your answer to two significant figures and include appropriate units. Submit My Answers Give Up incorrect, Try Again, 5 attempts remaining Part C s the average force during jump 2 greater than ess than, or equal o the average force during jump 1? Greater than Less than Equal to Submit My Answers Give Up

Explanation / Answer

from the graph

acceleration for jump1 a1 = slope of the graph = (v2-v1)/(t2-t1)

a1 = (0.8-0)/(0.006-0) = 133.33 m/s^2

average net force Fnet m*a1 = 19*10^-6*133.33 = 2.53*10^-3 N

part B

ratio = Fnet/Fg = Fnet/mg = 2.53/(19*10^-3*9.8) = 13.6

part (C)

in jump2 time taken is less than jump 1 .

so acceleration in jump2 is more than in jump 1

Fnet2 > Fnet 1

Greater than

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