Answer:
Explanation:
Ke = 1/2mv2 = 1/2.10.(4)2=5.16= 80 J
Answer:
Clumped distribution is the most common type of dispersion found in nature. In clumped distribution, the distance between neighboring individuals is minimized.
The average speed of the car is 93.33 km/hr and the average velocity of the car is 40 km/hr.
The total distance cover in east direction is=100*3=300 km
The total distance cover in the west direction=80*1.5=120 km
The total distance covered is =300+120=420 km
And Total displacement of the car is =300-120=180 km
As we know that the average speed is given as
Avg Speed =Total Distance / Total time
=420/4.5=93.33 km/hr
As we know that the average velocity is given as
Avg Speed =Total Displacement/ Total time
=180/4.5=40 km/hr
Therefore, The average speed of the car is 93.33 km/hr and the average velocity of the car is 40 km/hr.
Answer:
The gravitational potential energy of the nickel at the top of the monument is 8.29 J.
Explanation:
We can find the gravitational potential energy using the following formula.
![GPE=mgh](https://tex.z-dn.net/?f=GPE%3Dmgh)
Identifying given information.
The nickel has a mass
, and it is a the top of Washington Monument.
The Washington Monument has a height of
, thus we need to find the equivalence in meters using unit conversion in order to find the gravitational potential energy.
Converting from feet to meters.
Using the conversion factor 1 m = 3.28 ft, we have
![h = 555 \, ft \times \cfrac{1 \, m}{3.28 \, ft}](https://tex.z-dn.net/?f=h%20%3D%20555%20%5C%2C%20ft%20%5Ctimes%20%5Ccfrac%7B1%20%5C%2C%20m%7D%7B3.28%20%5C%2C%20ft%7D)
That give u s
![h = 169.2 \, m](https://tex.z-dn.net/?f=h%20%3D%20169.2%20%5C%2C%20m)
Finding Gravitational Potential Energy.
We can replace the height and mass on the formula
![GPE=mgh](https://tex.z-dn.net/?f=GPE%3Dmgh)
And we get
![GPE=(0.005)(9.8)(169.2) \, J](https://tex.z-dn.net/?f=GPE%3D%280.005%29%289.8%29%28169.2%29%20%5C%2C%20J)
![\boxed{GPE=8.29 \,J}](https://tex.z-dn.net/?f=%5Cboxed%7BGPE%3D8.29%20%5C%2CJ%7D)
The gravitational potential energy of the nickel at the top of the monument is 8.29 J.
Answer:
The frequency of the photon is
.
Explanation:
Given that,
Energy
We need to calculate the energy
Using relation of energy
![E_{4}-E_{2}=\Delta E](https://tex.z-dn.net/?f=E_%7B4%7D-E_%7B2%7D%3D%5CDelta%20E)
Where,
= energy spacing
![4h\nu-2h\nu=4.07\times10^{-19}](https://tex.z-dn.net/?f=4h%5Cnu-2h%5Cnu%3D4.07%5Ctimes10%5E%7B-19%7D)
![\nu=\dfrac{4.07\times10^{-19}}{2h}](https://tex.z-dn.net/?f=%5Cnu%3D%5Cdfrac%7B4.07%5Ctimes10%5E%7B-19%7D%7D%7B2h%7D)
Put the value of h into the formula
![\nu=\dfrac{4.07\times10^{-19}}{2\times6.63\times10^{-34}}](https://tex.z-dn.net/?f=%5Cnu%3D%5Cdfrac%7B4.07%5Ctimes10%5E%7B-19%7D%7D%7B2%5Ctimes6.63%5Ctimes10%5E%7B-34%7D%7D)
![\nu=3.069\times10^{14}\ Hz](https://tex.z-dn.net/?f=%5Cnu%3D3.069%5Ctimes10%5E%7B14%7D%5C%20Hz)
Hence, The frequency of the photon is
.