Answer: 1018.26 m/s
Explanation:
Approaching the orbit of the Moon around the Earth to a circular orbit (or circular path), we can use the equation of the speed of an object with uniform circular motion:
Where:
is the speed of travel of the Moon around the Earth
is the Gravitational Constant
is the mass of the Earth
is the distance from the center of the Earth to the center of the Moon
Solving:
This is the speed of travel of the Moon around the Earth
Velocity = 14 m/s
Time = 20 s
Displacement = Velocity×Time = (14×20) m = 280 m
The displacement is 280 m towards the direction of motion.
Since the angle is West of North, therefore to find for
the westward component (horizontal component) of the vector, we use the sin
function:
sin θ = opposite side / hypotenuse = westward component /
resultant vector
So the westward component (x) is:
x = 85.42 sin 23
<span>x = 33.38 unit</span>
Answer:
(a) Total time will be 8.05 hour
(B) Total cost will be $417.6
Explanation:
We have given dryer uses 16 A of current so current i = 16 A
Voltage V = 240 volt
Time t = 45 minutes =45×60 = 2700 sec
So power P = VI = 240×16 = 3840 W
So energy E = power×time = 3840×45×60 = 9396 KJ
(A) Now current in the computer i = 2.7 A
Voltage V = 120 V
So power P = 120×2.7 = 324 W
Now computer is using energy of dryer
So time by which it will use energy is 
So time will be 8.05 hour
(b) Cost per kilowatt is $0.12
So total cost =3480×0.12 = $417.6