Given the potential energy of 100 J, the height of the hill is 0.128 m (12.8 cm)
Explanation:
The gravitational potential energy of an object is given by:

where
m is the mass of the object
g is the acceleration of gravity
h is the heigth of the object, relative to the ground
In this problem, we have
U = 100 J is the potential energy of the person
is the acceleration of gravity
m = 80 kg is the mass of the person
Solving for h, we find at what height the person is:

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To develop this problem it is necessary to apply the concept related to the speed of sound waves in fluids.
By definition we know that the speed would be given by

Bulk modulus
Density of air
From the expression shown above we can realize that the speed of sound is <em>inversely proportional</em> to the fluid in which it is found, in this case the air. When the density increases, the speed of sound decreases and vice versa.
According to the statement then, if the density of the air decreases due to an increase in temperature, we can conclude that the speed of sound increases when the temperature increases. <u>They are directly proportional.</u>
answer;
The hole in the center of the washer will expand
explanation;
<em>A flat metal washer is heated. As the washer's temperature increases, what happens to the hole in the center? A flat metal washer is heated. As the washer's temperature increases, what happens to the hole in the center? The hole in the center will remain the same size. Changes in the hole cannot be determined without know the composition of the metal. The hole in the center of the washer will expand. The hole in the center of the washer will contract.</em>
this is an example of area expansivity.
coefficient of area expansivity is change in area per area per degree rise in temperature
a=dA/(A*dt)
as the temperature rises , there will be volumetric and area expansivity on the body. volume also increases because of the intermolecular forces of attraction between the molecule is now getting apart.
Answer:

Explanation:
As we know that the speed of the sound in air is

frequency of the sound is

now the wavelength is given as



now the position of minimum is given as



now the position of minimum intensity is given as



so the separation between the minimum intensity on either sides is given as


