Question

Desert locusts are excellent jumpers. Data for a locust and its jump: Mass of adult locust: 2.0 g Time to push off from ground: 27 ms Distance that legs extend during push off: 37 mm Speed at takeoff: 3.1 m/s For the first phase of the calculation, ignore the drag force and other dissipative effects. a. Describe the sequence of energy transformations from 10 seconds before takeoff to the highest point of the leap. b. If the locust leaves the ground moving straight up, how high will it go? Use energy concepts to solve this problem. Draw a before/after visual overview and use the one equation we use for such problems. c. In the instant before the locust pushes off, how much energy, in J, is stored in the springs that power the legs? Treating the legs as a single spring, what is the spring constant? d. During the push off phase of the jump, the energy stored in the leg "springs" is converted to kinetic energy. What is the power generated by the locust during this phase? e. What is the specific powerâ€”the power per unit mass of the animalâ€”for the push off? The drag force will convert some of the kinetic energy into thermal energy, so the locust won't rise as high. f. Assume that 20% of the initial kinetic energy is lost to drag. How high will the locust jump?

Name: desert locusts are excellent jumpers data for a locust and its jump mass of adult locust 20 g time to push off from ground 27 ms distance that legs extend during push off 37 mm speed at take 79613
Uploaded: 2021-08-25T13:24:11-08:00
Duration: 5 min 57 s
Channel: Alex Garger
Description: desert locusts are excellent jumpers data for a locust and its jump mass of adult locust 20 g time to push off from ground 27 ms distance that legs extend during push off 37 mm speed at take 79613

          Desert locusts are excellent jumpers. Data for a locust and its jump: Mass of adult locust: 2.0 g Time to push off from ground: 27 ms Distance that legs extend during push off: 37 mm Speed at takeoff: 3.1 m/s For the first phase of the calculation, ignore the drag force and other dissipative effects.

a. Describe the sequence of energy transformations from 10 seconds before takeoff to the highest point of the leap.

b. If the locust leaves the ground moving straight up, how high will it go? Use energy concepts to solve this problem. Draw a before/after visual overview and use the one equation we use for such problems.

c. In the instant before the locust pushes off, how much energy, in J, is stored in the springs that power the legs? Treating the legs as a single spring, what is the spring constant?

d. During the push off phase of the jump, the energy stored in the leg "springs" is converted to kinetic energy. What is the power generated by the locust during this phase?

e. What is the specific powerâ€”the power per unit mass of the animalâ€”for the push off? The drag force will convert some of the kinetic energy into thermal energy, so the locust won't rise as high.

f. Assume that 20% of the initial kinetic energy is lost to drag. How high will the locust jump?

desert locusts are excellent jumpers data for a locust and its jump mass of adult locust 20 g time to push off from ground 27 ms distance that legs extend during push off 37 mm speed at take 79613

Added by Michael C.

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