Kinetic energy is dependent on Its position
Answer:
x = 1.00486 m
Explanation:
The complete question is:
" The potential energy between two atoms in a particular molecule has the form U(x) =(2.6)/x^8 −(5.1)/x^4 where the units of x are length and the num- bers 2.6 and 5.1 have appropriate units so that U(x) has units of energy. What is the equilibrium separation of the atoms (that is the distance at which the force between the atoms is zero)? "
Solution:
- The correlation between force F and energy U is given as:
F = - dU / dx
F = - d[(2.6)/x^8 −(5.1)/x^4] / dx
F = 20.8 / x^9 - 20.4 / x^5
- The equilibrium separation distance between atoms is given when Force F is zero:
0 = 20.8 / x^9 - 20.4 / x^5
0 = 20.8 - 20.4*x^4
x^4 = 20.8/20.4
x = ( 20.8/20.4 )^0.25
x = 1.00486 m
Answer:
So then the rank for this case would be:
And makes sense since if we have a higher frequency we expect a lower wavelength by the inversely proportional relationship between the frequency and the wavelength.
Explanation:
For this case we can use the property that the speed of the sound is:
By definition the frequency is given by this formula:
Where f represent the frequency, v the velocity and the waelength. If we solve for the wavelength we got:
Now if we find the wavlengths for each of the following cases we have:
So then the rank for this case would be:
And makes sense since if we have a higher frequency we expect a lower wavelength by the inversely proportional relationship between the frequency and the wavelength.
Answer:
The speed of the object will be "2.4 m/s".
Explanation:
The given values are:
Kinetic energy,
K.E = 90 J
Mass,
m = 30 kg
Speed,
v = ?
As we know,
⇒
On substituting the values, we get
⇒
⇒
⇒
⇒
⇒
⇒
To develop this problem we will proceed to use the principle of energy conservation. For this purpose we will have that the change in the electric potential energy and kinetic energy at the beginning must be equal at the end. Our values are given as shown below:
Applying energy conservation equations
Replacing,
Solving for v,
Therefore the speed of each sphere at the moment they collide is 5.4m/s