"Fig is attacted with answer"
Answer:
a) d = 33.72 m
b) 
= 26 m/s
c) β = 71.08°
Explanation:
a)
When an object is thrown into the air under the effect of the gravitational force, the movement of the projectile is observed. Then it can be considered as two separate motions, horizontal motion and vertical motion. Both motions are different, so that they can be handled independently.
Given data:
time = t = 4.00 s
Height = h = 20 m
Angle = θ = 60°
Horizontal distance = d = ?
Using 2nd equation of motion
-20 = 
(4) + 0.5(-9.8)(4)²
(4) = 58.4
= 14.6 m/s
This is vertical component of velocity when the ball is on the roof. To calculate the Final velocity and horizontal component, we use
= / sinθ
= 14.6 / sin 60
= 16.86 m/s
= cosθ
= 16.86 cos 60
= 8.43 m/s
To calculate the horizontal distance
d = t
d = (8.43)(4)
d = 33.72 m
b)
We know the values of Landing angle, height of roof, time of flight. In part a, We calculate the landing velocity of the ball and also its horizontal and vertical component. As the ball followed the projectile path, and we know that in projectile motion the horizontal component of the velocity remain constant throughout his motion. So there is no acceleration along horizontal path.
So,
= 
but the vertical component of velocity vary with and there is an acceleration along vertical direction which is equal to gravitation acceleration g.
So,
g = ( - 
) / t
9.8 = 14.6 - ) / 4
= 24.6 m/s
= 
= 
= 26 m/s
c)
cos β = /
β = cos⁻¹ (8.43 / 26)
β = 71.08°
The universe is the collection of galaxies, The Andromeda Galaxy has spectral lines with blue shift. The conclusion is that the Universe has stopped expanding.
<h3>What is Andromeda Galaxy?</h3>
The Andromeda Galaxy is the nearest spiral neighbor that has spectral lines showing a blue shift.
Therefore, this concludes that, the Universe has stopped expanding. This galaxy is slowly shifting towards us.
Learn more about Andromeda Galaxy.
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The prefix "mega" means million.
Therefore
1 megameter = 10⁶ meters
That is,
1.0 megameter = 1,000,000.0 meters.
Answer:
The decimal is moved right by 6 places to convert a megameter to meters.
The temperature of the oxygen gas is 243.75 K.
Using ideal gas law to explain the answer, the absolute temperature of the gas will decrease if the number of moles of the gas increases and it will increase if the volume and/or pressure of the gas increases.
The reaction of the given elements;
volume of the collected oxygen gas, V = 10 L
pressure of the gas, P = 1 atm
number of moles of the gas, n = 0.5
Using ideal law the temperature of the oxygen gas is calculated as follows;
Thus, the temperature of the gas is 243.75 K.
Using ideal gas law to explain the answer. The absolute temperature of the oxygen gas is directly proportional to the product of its pressure and volume and inversely proportional to its number of moles. That is the absolute temperature of the gas will decrease if the number of moles of the gas increases and it will increase if the volume and/or pressure increases.
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