The velocity of recession of the galaxy will be 37.3×10⁶ m/sec. The concept of Doppler effect is employed in the given problem.
<h3>What is the Doppler effect?</h3>A sudden change in the frequency due to the distance between the objects and source is explained by the Doppler effect.
As the source and observer travel toward each other, the frequency of sound, light, or other waves increases or decreases.
A passing siren's rapid change in pitch, as well as astronomers' redshift, are both caused by this phenomenon.
Applications of the Doppler effect;
The rest wavelength is,
The distant wavelength is,
The velocity of recession is,V
The recession velocity is found as;
Hence, the velocity of recession of the galaxy will be 37.3×10⁶ m/sec.
To learn more about the Doppler effect, refer to the link;
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To solve this problem we must resort to the Work Theorem, internal energy and Heat transfer. Summarized in the first law of thermodynamics.
Where,
Q = Heat
U = Internal Energy
By reference system and nomenclature we know that the work done ON the system is taken negative and the heat extracted is also considered negative, therefore
Work is done ON the system
Heat is extracted FROM the system
Therefore the value of the Work done on the system is -158.0J
Answer:
t = 2.2 s
Explanation:
Given that,
Height of the roof, h = 24.15 m
The initial velocity of the pumpkin, u = 0
We need to find the time taken for the pumpkin to hit the ground. Let the time be t. Using second equation of kinematics to find it as follows :
Here, u = 0 and a = g
So, it will take 2.22 s for the pumpkin to hit the ground.
Answer:
a)
b)
Explanation:
Given:
a)
<u>Maximum height reached by the helicopter:</u>
using the equation of motion,
where:
u = initial velocity of the helicopter = 0 (took-off from ground)
t = time of observation
b)
<u>height fallen freely by Austin:</u>
where:
initial velocity of fall at the top = 0 (begins from the max height where the system is momentarily at rest)
time of free fall
<u>Velocity just before opening the parachute:</u>
<u>Time taken by the helicopter to fall:</u>
where:
initial velocity of the helicopter just before it begins falling freely = 0
time taken by the helicopter to fall on ground
height from where it falls = 250 m
now,
From the above time 7 seconds are taken for free fall and the remaining time to fall with parachute.
<u>remaining time,</u>
<u>Now the height fallen in the remaining time using parachute:</u>
<u>Now the height of Austin above the ground when the helicopter crashed on the ground:</u>