Answer:

Explanation:
k = Coulomb constant = 
r = Distance between charges = 2 cm
The electric force is given by

Also

The sum of the force is given by

Thus
.
The negative sign is because the force points downward which is taken as negative
Answer:

Explanation:
Given that,
Speed of the car, v = 40 mph
Energy required, 
Radius of the flywheel, r = 0.6 m
Mass of flywheel, m = 400 kg
The kinetic energy of the disk is given by :

I is the moment of inertia of the disk, 




or

So, the angular speed of the disk is 943 rad/s. Hence, this is the required solution.
Answer:


Explanation:
Given:
- Total initial charge on bead A=26 nC
- The distance between them=5 cm
- Magnitude o the force between them

Using coulombs law the force between two charged particle is 
where r is the radial distance between them
According to question we have

Hence the charge on two metal beads is calculated.
F=ma so a=F/m
ax=180/270=0.67m/s^2
ay=390/270=1.44m/s^2
Magnitude = sqrt((0.67^2)+(1.44^2))=1.59m/s^2
Direction- Tan(x)=0.67/1.44=0.47 Tan^-1(x)=25 degrees
Answer:
2.846m
Explanation:
The diver is performing projectile motion.
To find x(final), we are going to use the equation x(final) = v(initial)*t + x(initial)
x(initial) = 0
x(final) = ?
v(initial) = 2.3 m/s
we don't know t
To find t we will use y(final) = 1/2*(-9.8)*t^2 + v(initial in the y dir.)*t + y(initial)
- 9.8 in the acceleration in the y dir.
y(final) = 0
y(initial) = 7.5
v(initial in the y dir.) = 0
If we solve for t we get: t = 1.237s
Now we have all the components to solve for x(final) in x(final) = v(initial)*t + x(initial)
x(final) = 2.3*1.237 + 0
x(final) = 2.846m