Answer:
Time taken, t = 30.15 minutes
Explanation:
It is given that,
Distance from the center of planet, r = 40 miles
Speed of the shuttle, v = 500 miles per hour
Let t is the time taken by it to complete one full orbit. The displacement of the shuttle is,
d = 251.32 miles
Now time can be calculated using the expression for the velocity as :
t = 0.50264 hours
or
t = 30.15 minutes
So, the shuttle will take 30.15 minutes to complete one full orbit. Hence, this is the required solution.
Answer:
Explanation:
Work in pumping water from the tank is given as
W = ∫ y dF. From a to b
Where dF is the differential weight of the thin layer of liquid in the tank, y is the height of the differential layer
a is the lower limit of the height
b is the upper limit of the height.
We know that, .
F = ρVg
Where F is the weight
ρ is the density of water
V is the volume of water in tank
g is the acceleration due to gravity
Then,
dF = ρg ( Ady)
We know that the density and the acceleration due to gravity is constant, also the base area of the tank is constant, only the height that changes.
Then,
ρg = 62.4 lbs/ft³
Area = L×B = 3 × 9 = 27ft²
dF = ρg ( Ady)
dF = 1684.8dy
The height reduces from 12ft to 0ft
Then,
W = ∫ y dF. From a to b
W = ∫ 1684.8y dy From 0 to 12
W = 1684.8y²/2 from 0 to 12
W = 842.4 [y²] from y = 0 to y = 12
W = 842.4 (12²-0²)
W = 121,305.6 lb-ft
Yes, yes, go on ! The nearest star to us that's outside of our solar system
is 4.2 light years away. So when we see that star, we're not seeing it as
it is, we're seeing it as it was 4.2 years ago. And all of the other stars
are much farther away from us than that one is. We have detected
galaxies that we're not seeing as they are now, we're seeing them as
they were 13 billion years ago !
The moon is about 240,000 miles away from us. When we look at the
moon, we're not seeing it as it is, we're seeing it as it was 1.3 seconds ago.
The refrigerator in your kitchen is about 12 feet from you. So when you
look at the refrigerator, you're not seeing it as it is. You're seeing it as it
was 0.0000000122 second ago.
It takes TIME for light to travel from one place to another.
three charged particals are located at the corners of an equil triangle shown in the figure showing let (q 2.20 Uc) and L 0.650
Work = force x distance
So we are looking for something related to displacement.
The work done must also be done in the same direction, parallel to the displacement, and therefore in the same direction of the motion as well.
So:
In order to do work, the force vector must be in the same direction as the displacement vector and the motion.
