Answer:
Explanation:
The tension of the cord is not important, what matters is the height the block has risen.
When it has risen to its maximum it will have a speed of 0, and because of that it will have a kinetic energy of 0. However it will have a higher potential energy than it had at the beginning. The difference in potential energy will be:
The energy to rise the block with the bullet embedded into it came from the kinetic energy of the bullet.
These two energies are equal because all the kinetic energy the bullet had was transformed into potential energy. Therefore:
Rearranging:
The gravitational acceleration at any distance r is given by
where G is the gravitational constant, M the Earth's mass and r is the distance measured from the center of the Earth.
The Earth's radius is , so the meteoroid is located at a distance of:
And by substituting this value into the previous formula, we can find the value of g at that altitude:
Answer:
f = 409 Hz
Explanation:
We have,
Length of the open organ pipe, l = 0.29 m
Frequency of vibration of second overtone,
It is required to find the fundamental frequency of the pipe. For the open organ pipe, the frequency of second overtone is given by :
v is speed of sound
Let f is the fundamental frequency. It is given by :
The relation between f and f₂ can be written as :
So, the fundamental frequency of the pipe is 409 Hz.