Answer:

Explanation:
<u>Tangent and Angular Velocities</u>
In the uniform circular motion, an object describes the same angles in the same times. If
is the angle formed by the trajectory of the object in a time t, then its angular velocity is

if
is expressed in radians and t in seconds the units of w is rad/s. If the circular motion is uniform, the object forms an angle
in 2t, or
in 3t, etc. Thus the angular velocity is constant.
The magnitude of the tangent or linear velocity is computed as the ratio between the arc length and the time taken to travel that distance:

Replacing the formula for w, we have

Answer:
(a) 43.2 kC
(b) 0.012V kWh
(c) 0.108V cents
Explanation:
<u>Given:</u>
- i = current flow = 3 A
- t = time interval for which the current flow =

- V = terminal voltage of the battery
- R = rate of energy = 9 cents/kWh
<u>Assume:</u>
- Q = charge transported as a result of charging
- E = energy expended
- C = cost of charging
Part (a):
We know that the charge flow rate is the electric current flow through a wire.

Hence, 43.2 kC of charge is transported as a result of charging.
Part (b):
We know the electrical energy dissipated due to current flow across a voltage drop for a time interval is given by:

Hence, 0.012V kWh is expended in charging the battery.
Part (c):
We know that the energy cost is equal to the product of energy expended and the rate of energy.

Hence, 0.108V cents is the charging cost of the battery.
Answer:
Are very small.
Explanation:
Scientists use models to study atoms because atoms are extremely small and can't even be seen.
Answer:
This statement is false.
Explanation:
If the farmers field is close to the stream, and has experienced a lot of runoff, the runoff will carry chemicals from the farm into the stream, which includes fertilizers among other chemicals. This runoff into the stream will not lead to a decrease in the level of fertilizers in the stream. Therefore, one of the effect of this cannot be a decrease in the level of fertilizers from the field.