Answer:
doubled
Explanation:
F=ma1----------(1)
2F = ma2-------(2)
Divide 2nd equation by 1st one
we get a1×2=a2
Answer:
486nm
Explanation:
in order for an electron to transit from one level to another, the wavelength emitted is given by Rydberg Equation which states that
![\frac{1}{wavelength}=R.[\frac{1}{n_{f}^{2} } -\frac{1}{n_{i}^{2} }] \\n_{f}=2\\n_{i}=4\\R=Rydberg constant =1.097*10^{7}m^{-1}\\subtitiute \\\frac{1}{wavelength}=1.097*10^{7}[\frac{1}{2^{2} } -\frac{1}{4^{2}}]\\\frac{1}{wavelength}= 1.097*10^{7}*0.1875\\\frac{1}{wavelength}= 2.06*10^{6}\\wavelength=4.86*10{-7}m\\wavelength= 486nm\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bwavelength%7D%3DR.%5B%5Cfrac%7B1%7D%7Bn_%7Bf%7D%5E%7B2%7D%20%7D%20-%5Cfrac%7B1%7D%7Bn_%7Bi%7D%5E%7B2%7D%20%7D%5D%20%5C%5Cn_%7Bf%7D%3D2%5C%5Cn_%7Bi%7D%3D4%5C%5CR%3DRydberg%20constant%20%3D1.097%2A10%5E%7B7%7Dm%5E%7B-1%7D%5C%5Csubtitiute%20%5C%5C%5Cfrac%7B1%7D%7Bwavelength%7D%3D1.097%2A10%5E%7B7%7D%5B%5Cfrac%7B1%7D%7B2%5E%7B2%7D%20%7D%20-%5Cfrac%7B1%7D%7B4%5E%7B2%7D%7D%5D%5C%5C%5Cfrac%7B1%7D%7Bwavelength%7D%3D%201.097%2A10%5E%7B7%7D%2A0.1875%5C%5C%5Cfrac%7B1%7D%7Bwavelength%7D%3D%202.06%2A10%5E%7B6%7D%5C%5Cwavelength%3D4.86%2A10%7B-7%7Dm%5C%5Cwavelength%3D%20486nm%5C%5C)
Hence the photon must possess a wavelength of 486nm in order to send the electron to the n=4 state
Answer:
V= 6.974 m/s
Explanation:
Component( box) weight acting parallel and down roof 88(sin39.0°)=55.4 N
Force of kinetic friction acting parallel and up roof = 18.0 N
Fnet force acting on tool box acting parallel and down roof
Fnet= 55.4 - 18.0
Fnet=37.4 N
acceleration of tool box down roof
a = 37.4(9.81)/88.0
a= 4.169 m/s²
d = 4.90 m
t = √2d/a
t= √2(4.90)/4.169
t= 1.662 s
V = at
V= 4.169(1.662)
V= 6.974 m/s
Answer:
![\dot{W_{H} } = 4244.48 Btu/h](https://tex.z-dn.net/?f=%5Cdot%7BW_%7BH%7D%20%7D%20%3D%204244.48%20Btu%2Fh)
Explanation:
Temperature of the house, ![T_{H} = 70^{0} F](https://tex.z-dn.net/?f=T_%7BH%7D%20%3D%2070%5E%7B0%7D%20F)
Convert to rankine, ![T_{H} = 70^{0}+ 460 = 530 R](https://tex.z-dn.net/?f=T_%7BH%7D%20%3D%2070%5E%7B0%7D%2B%20460%20%3D%20530%20R)
Heat is extracted at 40°F i.e ![T_{L} = 40^{0}F = 40 + 460 = 500 R](https://tex.z-dn.net/?f=T_%7BL%7D%20%3D%2040%5E%7B0%7DF%20%20%3D%2040%20%2B%20460%20%3D%20500%20R)
Calculate the coefficient of performance of the heat pump, COP
![COP = \frac{T_{H} }{T_{H} - T_{L} } \\COP = \frac{530 }{530 - 500 }\\ COP = \frac{530}{30} \\COP = 17.67](https://tex.z-dn.net/?f=COP%20%3D%20%5Cfrac%7BT_%7BH%7D%20%7D%7BT_%7BH%7D%20-%20T_%7BL%7D%20%20%7D%20%5C%5CCOP%20%3D%20%5Cfrac%7B530%20%7D%7B530%20-%20500%20%20%7D%5C%5C%20COP%20%3D%20%5Cfrac%7B530%7D%7B30%7D%20%5C%5CCOP%20%3D%2017.67)
The minimum power required to run the heat pump is given by the formula:
...............(*)
Where the heat losses from the house, ![\dot{Q_{H} } = 75,000 Btu/h](https://tex.z-dn.net/?f=%5Cdot%7BQ_%7BH%7D%20%7D%20%3D%2075%2C000%20Btu%2Fh)
Substituting these values into * above
![\dot{W_{H} } = \frac{75000}{17.67} \\ \dot{W_{H} } = 4244.48 Btu/h](https://tex.z-dn.net/?f=%5Cdot%7BW_%7BH%7D%20%7D%20%3D%20%5Cfrac%7B75000%7D%7B17.67%7D%20%5C%5C%20%5Cdot%7BW_%7BH%7D%20%7D%20%3D%204244.48%20Btu%2Fh)
Answer: The object changed directions
The object sped up
Explanation: