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BIO Insect Dynamics. The froghopper (Philaenus spumarius),

Chapter 7, Problem 49P

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QUESTION:

BIO Insect Dynamics The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3 mg and leaves the ground (in the most energetic jumps) at 4.0 m/s from a vertical start. The jump itself lasts a mere 1.0 ms before the insect is clear of the ground. Assuming constant acceleration,

(a) draw a free-body diagram of this mighty leaper during the jump;

(b) find the force that the ground exerts on the frog- hopper during the jump; and

(c) express the force in part (b) in terms of the froghopper’s weight.

Questions & Answers

QUESTION:

BIO Insect Dynamics The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3 mg and leaves the ground (in the most energetic jumps) at 4.0 m/s from a vertical start. The jump itself lasts a mere 1.0 ms before the insect is clear of the ground. Assuming constant acceleration,

(a) draw a free-body diagram of this mighty leaper during the jump;

(b) find the force that the ground exerts on the frog- hopper during the jump; and

(c) express the force in part (b) in terms of the froghopper’s weight.

ANSWER:

Solution 49P Step 1 of 4: (a) draw a free-body diagram of this mighty leaper during the jump; The jumping force will be acting vertically upward and the weight due to gravity will be acting downward. During the jump, the jumping force will be greater than weight.

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