Answer:
$1.26
Explanation:
Power =energy/ time
energy =powerxtime
energy =50x31x24=37200
=37.2kwh
1kwh =3.39
37.2kwh=3.39x37.2=126.108cent
=$1.26
Answer:
Explanation:
Given that,
A sphere has a volume of V and a radius r
Volume of sphere cam be determine using the formula
V = 4/3 πr³
V = 4πr³ / 3.
If the radius of the sphere is increasing by
dr / dt = 5cm / min
How fast is the volume increasing when r = 10cm
dV / dt =?
From V = 4πr³ / 3
We can calculate dV/dr
dV/dr = 12πr² / 3
dV/dr = 4πr²
Then,
We want to find dV/dt
Using chain rule
dV/dt = dV/dr × dr / dt
dV/dt = 4πr² × 5
dV/dt = 20πr²
So, at r = 10
dV/dt { 20π × 10²
dV/dt = 6283.19 cm/min
The rate at which the volume increase is 6283.19 cm/min
Answer:
3.14946 rad/s
Explanation:
= Intial moment of inertia
= Final moment of inertia
= Initial angular velocity
= Final angular velocity = 

In this system the angular momentum is conserved

The angular velocity when the diver left the board is 3.14946 rad/s
Answer:

Explanation:
The work done on a particle by external forces is defined as:

According to Newton's second law
. Thus:

Acceleration is defined as the derivative of the speed with respect to time:

Speed is defined as the derivative of the position with respect to time:

Kinetic energy is defined as
:
