Answer:
a).
b).
rpm
c).v=0.5865 m/sec.
Explanation:
Given:


a).


The angular speed in radians per seconds is

b).

rpm
c)
Child's distance per revolution
(pi*2r) = 43.988 metres.
v=(43.988 x 0.0133333) = 0.5865 m/sec.
To solve this problem we will apply the principles of conservation of energy, for which we have to preserve the initial kinetic energy as elastic potential energy at the end of the movement. If said equality is maintained then we can affirm that,


Here,
m = mass
k = Spring constant
x = Displacement
v = Velocity
Rearranging to find the velocity,



Our values are,



Replacing our values we have,


Therefore the velocity is 
Answer:

Explanation:
t = Time taken = 
i = Current = 3 A
q(0) = Initial charge =
Charge is given by

The magnitude of the net electric charge of the capacitor is 
Answer:
VAB = 20km/hr
Explanation:
<u>Given the following data;</u>
Velocity of car A, VA = 60km/hr
Velocity of car B, VB = 80km/hr
To find the relative velocity of B w.r.t A, VAB;
Since the two cars are moving in the same direction, we have;
VAB = VB - VA
Substituting into the equation, we have;
VAB = 80 - 60
<em>VAB = 20km/hr</em>
Therefore, the relative velocity of car B with respect to car A is 20 kilometers per hour.