Answer:
5.15348 Beats/s
4.55 mm
Explanation:
= Velocity of sound = 342 m/s
= Velocity of sound = 346 m/s
= First frequency = 440 Hz
Frequency is given by
Beat frequency is given by
Beat frequency is 5.15348 Hz
Wavelength is given by
Relation between length of the flute and wavelength is
At v = 346 m/s
Difference in length is
It extends to 4.55 mm
Answer: the dorsal cavity
Explanation:
Dorsal body cavity is the body cavity in the human body which is located posteriorly and it comprises of two type of body cavities that are cranial and the spinal. The cranial cavity is formed inside the skull and it protects the vital organ brain inside the bony protection and the spinal cavity houses the spinal cord. Thoracic cavity and pelvic cavity are the ventral cavities that means they are present in the front of the body.
Answer: Satellite X has a greater period and a slower tangential speed than Satellite Y
Explanation:
According to Kepler’s Third Law of Planetary motion “The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”.
(1)
Where;
is the Gravitational Constant
is the mass of the Earth
is the semimajor axis of the orbit each satellite describes around Earth (assuming it is a circular orbit, the semimajor axis is equal to the radius of the orbit)
So for satellite X, the orbital period is:
(2)
Where
(3)
(4)
For satellite Y, the orbital period is:
(5)
Where
(6)
(7)
This means
Now let's calculate the tangential speed for both satellites:
<u>For Satellite X:</u>
(8)
(9)
<u>For Satellite Y:</u>
(10)
(11)
This means
Therefore:
Satellite X has a greater period and a slower tangential speed than Satellite Y
Acceleration is defined as rate of change in velocity
So we can write its formula as
here we know that
= final velocity = 56 m/s
= initial velocity = 7.6 m/s
t = time interval to change the velocity = 3 s
now we will plug in all values in the above equation
so here roller coaster will accelerate at rate of 16 m/s^2 and hence correct answer is "option d"