Well, there are different ways you can represent the motion
of the pendulum on a graph. For example, the graph could
show the pendulum's displacement, total distance, position,
speed, velocity, or acceleration against time. Your question
doesn't specify which quantity the graphs show, so it's pretty
tough to describe their similarities and differences, since these
could be different depending on the quantity being graphed.
I have decided to make it simple, and assume that the graph shows
the distance away from the center against time, with positive and
negative values to represent whether its position is to the left or right
of the center. And now I shall proceed to answer the question that
I just invented.
In both cases, the graph would be a "sine" wave. That is, it would be
the graph of the equation
Y = A · sin(B · time) .
' A ' is the amplitude of the wave.
' B ' is some number that depends on the frequency of the swing . . .
how often the pendulum completes one full swing.
The two graphs would have different amplitudes, so the number 'A'
would be different. It would be 5 for the first graph and 10 on the 2nd one.
But the number 'B' would be the same for both graphs, because
when she pulled it farther and let it go, it would make bigger swings,
but they would not happen any faster or slower than the small swings.
In the space of, say one minute, the pendulum would make the same
number of swings both times. That number would only depend on the
length of the string, but not on how far you pull it sideways before you
let it go.
Answer:
<em>The average speed needed is 68.4 mi/h</em>
Explanation:
<u>Average Speed
</u>
If an object travels a distance d in a time t regardless of the direction, the average speed is the quotient of the distance over the time:
The distance to get to Denver from the Hamilton Street Campus is d=1,778 miles. An estimated time of t=26 hours should be needed to cover that distance, thus you will need to travel at an average speed of:
V = 68.4 mi/h
The average speed needed is 68.4 mi/h
Answer:
Option B. The distance between the objects in Figure A is shorter than the distance between the objects in Figure B.
Explanation:
The force of attraction between two masses is given by the following equation:
F = GM₁M₂ / r²
Where:
F => is the force of attraction
M₁ and M₂ => are the masses of the two objects
G => is the gravitational constant.
r => is the distance between the two objects
From the above formula,
The force of attraction (F) is directly proportional to the product of the two masses and inversely proportional to the square of their apart.
This implies that:
1. An increase in the masses of the object will bring about an increase in the force of attraction and a decrease in the masses will leads to a decrease in the force of attraction.
2. An increase in the distance between the two masses will leads to a decrease in the force of attraction and a decrease in the distance between the two masses will lead to an increase in the force of attraction.
Considering the options given in the question above, option B gives the correct answer to the question.
I believe the answer is resonance
Answer:
<em>work done in pumping the entire fuel is 1399761 J</em>
Explanation:
weight per volume of the gasoline = 6600 N/m^3
diameter of the tank = 3 m
length of the tank = 6 m
The height of the tractor tank above the top of the tank = 5 m
The total volume of the fuel is gotten below
we know that the tank is cylindrical.
<em>we assume that the fuel completely fills the tank.</em>
therefore, the volume of a cylinder =
where r = radius = diameter ÷ 2 = 3/2 = 1.5 m
volume of the cylinder = 3.142 x x 6 = 42.417 m^3
we then proceed to find the total weight of the fuel in Newton
total weight = (weight per volume) x volume
total weight = 6600 x 42.417 = 279952.2 N
therefore,
the work done to pump the fuel through to the 5 m height = (total weight of the fuel) x (height through which the fuel is pumped)
work done in pumping = 279952.2 x 5 = <em>1399761 J</em>
