<span>net work = change in kinetic energy
for Block B, we just have the force from block A acting on it
F(ab)d= .5(1)vf² - .5(1)(2²)
F(ab)d= .5vf² - 2
Block A, we have the force from the hand going in one direction and the force of block B on A going the opposite direction
10-F(ba)d = .5(4)vf² - .5(4)(2²)
10-F(ba)d = 2vf² - 8
F(ba)d = 18 - 2vf²
now we have two equations:
F(ba)d = 18 - 2vf²
F(ab)d= .5vf² - 2
since the magnitude of F(ba) and F(ab) is the same, substitute and find vf (I already took into account the direction when solving for F(ab)
10-.5vf² + 2 = 2vf² - 8
12 - .5vf² = 2vf² - 8
20 = 2.5vf²
vf² = 8
they both will have the same velocity
KE of block A= .5(4)(2.828²) = 16 J
KE of block B=.5(1)(2.828²) = 4 J</span>
speed of the bacterium is 3.5 mm/s

total distance traveled by bacterium = 8.4 cm

time take to cover the distance


<em>so it will take 24 s to move this distance</em>
The electrostatic force between two point charges is given by:

where

is the Coulomb's constant
q1 and q2 are the two charges
r is the distance between them
In our problem, charge 1 is

while charge 2 is

and their distance is
r=5.0 cm=0.05 m
So, the electrostatic force between them is

And the negative sign means the force is attractive, because the two charges have opposite sign.
Answer: Vertical height of rocket is 824.24ft
Explanation: see attachment.
Opp/ Adj = Tan 70°
h/ 300 = Tan 70°
h= 300tan 70°
h = 824.24ft