Sarah wants to install a wind turbine on her farm, which would convert wind energy to electricity to power her home. She can onl
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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!
Answer:(a)9.685 mm
(b)4.184 mm
Explanation:
Given
Wavelength of light
Width of slit(b)=0.210
(a)Width of central maximum located 1.80m from slit
=9.685 mm
(b)Width of the first order bright fringe