Concept explainers
(a)
The average power required.
(a)
Answer to Problem 10P
The average power required is
Explanation of Solution
Write the equation for the average power required.
Here,
Write the expression for
Here,
The initial kinetic energy of the flee is zero.
Substitute
Write the expression for
Here,
Put the above equation in equation (II).
Put the above equation in equation (I).
Conclusion:
Given that the mass of the stunt flee is
Substitute
Therefore, the average power required is
(b)
Whether the insect muscle can provide the required power.
(b)
Answer to Problem 10P
The flea’s muscle cannot provide the power required.
Explanation of Solution
Given that only
Write the equation for the power produced by the muscle.
Here,
Conclusion:
Given that the maximum power output of the muscle is
Substitute
The power produced by the muscle is smaller than the power required.
Therefore, the flea’s muscle cannot provide the power required.
(c)
The energy stored in the compression of the pads of the two hind legs.
(c)
Answer to Problem 10P
The energy stored in the compression of the pads of the two hind legs is
Explanation of Solution
Write the equation for the energy stored in a single pad.
Here,
There are two pads.
Write the equation for the total energy stored.
Here,
Put equation (V) in the above equation.
Write the equation for
Here,
Write the equation for
Put the above equation in equation (VI).
Put the above equation in equation (VI).
Given that the pad compresses fully so that the change in length is equal to the initial length.
Replace
Conclusion:
Given that the value of the Young’s modulus is
Substitute
Therefore, the energy stored in the compression of the pads of the two hind legs is
(d)
Whether the resilin pads .provide enough power for the jump.
(d)
Answer to Problem 10P
The resilin pads .provide enough power for the jump.
Explanation of Solution
Write the equation for the average power provided by the resilin pads.
Conclusion:
Substitute
Therefore, the resilin pads .provide enough power for the jump.
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