Question

Starting from rest, a 2.1x10^-4 kg flea springs straight upward. While the flea is pushing off from the ground, the ground exerts an average upward force of 0.41 N on it. This force does 3.7x10^-4 J of work on the flea.

(a) What is the flea's speed when it leaves the ground?
(b) How far upward does the flea move while it is pushing off? Ignore both air resistance and the flea's weight.

Answer 1

a) The flea's speed when it leaves the ground is
`v=1.88m/s`

b) The flea move
`18cm` upward while it is pushing off

Step-by-step explanation:

Hi

Knwons

Mass
`m=2.1* 10^(-4) kg`, Work
`W=3.7* 10^(-4) J` and Force
`F=0.41N`

a) Here we are going to use
`W=(1)/(2) mv^(2)`, so
`v=\sqrt{(2W)/(m) }= \sqrt{(2(3.7* 10^(-4) J))/(2.1* 10^(-4) kg) }=1.88m/s`

a) Here we are going to use
`W=mgh`, so
`h=(W)/(mg)= (3.7* 10^(-4) J)/((2.1* 10^(-4) kg)(9.8m/s^(2))) =0,1797m` or
`18cm` approx.