Question

Froghoppers may be the insect jumping champs. These 6-mm-long bugs can spring 70 cm into the air, about the same distance as the flea. But the froghopper is 60 times more massive than a 12-mg flea. The froghopper pushes off for about 4 mm.
Part A: What average force does it exert on the surface?
Part B: compare this to the gravitational force that Earth exerts on the big.
a) this is about 176 times less than the weight of the froghopper. b) This is about 176 times the weight of the froghopper. c) this is equal the weight of the froghopper.

Answer 1

Answer:

This is about 176 times the weight of the froghopper.

Explanation:

the grasshopper converts kinetic energy into earth gravitational potential energy

u=mgh

u=12*10^-3*9.8*0.7

=8.23*10^-2

using the Work energy principle

equating the kinetic energy to the potential energy

k +U+w=K2+u2

K+0+0=0+U2

k=8.23*10^-2

force exerted by the grasshopper on the round will be given by tis equation

(F-mg)Ycos$\alpha$=k

(F-12*10^-3*9.8)*0.004cos 0=8.23*10^-2

F=20.7N

from newtons third law of motion, action and reaction are equal and opposite

F=-20.7N

comparing the forces by the two bodies

F:mg

-20.7:-12*10^-3*9.8

the magnitude of the force applied by the grasshopper is found to be 176 times the gravitational force