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.

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. Step 2 of 4: (b) find the force that the ground exerts on the frog- hopper during the jump; Given data, Mass of the insect, m=12.3 mg Using 1mg=10 g 3 m=12.3× 10 g3 Using 1g= 10 kg3 m= 12.3 × 10 kg6 Initial speed, v= 4 m/s Time taken, t= 1 ms Using 1ms=10 s 3 t=10 s3