Answer:
Explanation:
This question pertains to resonance in air column. It is the case of closed air column in which fundamental note is formed at a length which is as follows
l = λ / 4 where l is length of tube and λ is wave length.
here l = .26 m
λ = .26 x 4 = 1.04 m
frequency of sound = 330 Hz
velocity of sound = frequency x wave length
= 330 x 1.04
= 343.2 m /s
b )
Next overtone will be produced at 3 times the length
so next length of air column = 3 x 26
= 78 cm
c )
If frequency of sound = 256 Hz
wavelength = velocity / frequency
= 343.2 / 256
= 1.34 m
= 134 cm
length of air column for resonance
= wavelength / 4
134/4
= 33.5 cm
Answer:
it should be Work = F * d * cos(theta)
Explanation:
Force is mass * acceleration, and displacement is the distance between the starting and ending point.
we need theta because it can be used to calculate work when going up an incline surface. And we tend to use cosine because we are assuming that our motion is primarily in the X direction.
Answer:
h = 219.96 m
Explanation:
Speed of the stone with which it was thrown horizontally, v = 10 m/s
We need to find the height of the cliff if the stone’s trajectory time from the top of the hill to the bottom to be 6.7s.
It means we need to find the distance covered by the stone. As the horizontal speed of the stone is given , it means there is no vertical motion in the stone,u'=0
Using second equation of motion,

Put u'=0 and a=g
So,

So, the height of the cliff is 219.96 m.
A catalyst lessens the energy for a reaction so it can speed up so the catalyst is not used up in the end of the reaction so the answer would be D.
Answer:
It'd take approximately 6543 asteroids.
Explanation:
In order to calculate the number of asteroids needed to make that planet we first need to determine the volume of each object. To do this we will consider them as spheres and apply the appropriate formula:


The number of asteroids needed are given by the division of planet's volume by the asteroid's volume.

It'd take approximately 6543 asteroids.