Answer:
Part A)
t(1) > t(2), the stone thrown 30 above the horizontal spends more time in the air.
Part B)
x(f1) > x(f2), the first stone will land farther away from the building.
Explanation:
<u>Part A)</u>
Let's use the parabolic motion equation to solve it. Let's define the variables:
- y(i) is the initial height, it is a constant.
- y(f) is the final height, in our case is 0
- v(i) is the initial velocity (v(i)=16 m/s)
- θ1 is the first angle, 30°
- θ2 is the first angle, -30°
For the first stone
(1)
For the second stone
(2)
If we solve the equation (1) we will have:
We can do the same procedure for the equation (2)
We can analyze each solution to see which one spends more time in the air.
It is easy to see that the value inside the square root of each equation is always greater than 8, assuming that the height of the building is > 0. Now, to get positive values of t(1) and t(2) we need to take the negative option of the square root.
Therefore, t(1) > t(2), it means that the stone thrown 30 above the horizontal spends more time in the air.
<u>Part B)</u>
We can use the equation of the horizontal position here.
<u>First stone</u>
<u>Second stone</u>
Knowing that t(1) > t(2) then x(f1) > x(f2)
Therefore, the first stone will land farther away from the building.
They land at different points at different times.
I hope it helps you!
After reading this whole question, I feel like I've already
earned 5 points !
-- Two satellites at the same distance, different masses:
The forces of gravity between two objects are directly
proportional to the product of the objects' masses. In
other words, the gravitational forces between the Earth
and an object on its surface are proportional to the mass of
the object. In other words, people with more mass weigh more
on the Earth, and the Earth weighs more on them.
If the satellites are both at the same distance from Earth,
then the Earth pulls on the one with more mass with greater
force, and also the one with more mass pulls on the Earth
with greater force.
-- Two satellites with the same mass, at different distances:
The forces of gravity between two objects are inversely
proportional to the square of the distance between them.
In other words, the gravitational
forces between the Earth
and an object are inversely proportional
to the square of
the distance between the object and the center of the Earth.
If
the satellites both have the same mass, then the Earth
pulls on the nearer one with greater force, and also the
nearer one pulls on the Earth with greater force.
-- Resistor in a circuit when the voltage changes:
The resistance depends on how the resistor was manufactured.
Its resistance is marked on it, and doesn't change. It remains
the same whether the voltage changes, the current changes,
the time of day changes, the cost of oil changes, etc.
If you increase the voltage in the circuit where that resistor is
installed, the current through the resistor increases. If the current
remains constant, then you can be sure that somebody snuck over
to your circuit when you weren't looking, and they either installed
another resistor in series with the original one to make the total
resistance bigger, or else they snipped the original one out of the
circuit and quickly connected one with more resistance in its place.
Answer:
C 2000v its obviously ans because if o is 1000 2 vo is 2000v
Answer:
The mass of the solution is 120 g.
Explanation:
The mass of the solution is given by:
Where:
: is the mass of the solution
: is the mass of the solvent
: is the mass of the solute
In the solution, the solvent is the majority compound (in mass) and the solute is the minority (in mass), so the solvent is the water and the solute is sodium chloride.
Hence, the mass of the solution is:
I hope it helps you!
