The trap-jaw ant, found throughout tropical South America, catches its prey by v
ID: 1878793 • Letter: T
Question
The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. (Figure 1) shows the speed of one of its mandible jaws versus time in microseconds.
Figure
1 of 1
Part A
What is the magnitude of the maximum acceleration of the ant's mandible?
Express your answer with the appropriate units.
Part B
The mass of a trap-jaw ant's mandible has been estimated to be about 1.3×107kg. Estimate the maximum force exerted by one mandible.
Express your answer with the appropriate units.
The trap-jaw ant, found throughout tropical South America, catches its prey by very rapidly closing its mandibles around its victim. (Figure 1) shows the speed of one of its mandible jaws versus time in microseconds.
Figure
1 of 1
Part A
What is the magnitude of the maximum acceleration of the ant's mandible?
Express your answer with the appropriate units.
a =Part B
The mass of a trap-jaw ant's mandible has been estimated to be about 1.3×107kg. Estimate the maximum force exerted by one mandible.
Express your answer with the appropriate units.
F = v (m/s) 60 40 20 0 t (us) 0 20 40 60 80 100 120 140Explanation / Answer
(a)
maximum acceleration of ant's mandible,
amax = vmax / t
amax = 60 / 80*10^(-6)
amax = 7.5*10^5 m/s^2
(b)
force exerted by one mandible.
F = m * amax
F = 1.3*10^(-7) * 7.5*10^5
F = 9.75*10^(-2) N
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