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Up: Science 1 Physics Final Exam, April 1999 Previous: Solenoid Design Answer EITHER this question

Constants and Formulae Provided:


 
 
       
 
 
Table 1: -- Constants and Conversion Factors. (You may not need all of these!) Table: -- Constants and Conversion Factors. (You may not need all of these!)
Acceleration due to gravity $g_\circ$ = 9.81 m-s-2 (at Earth's surface)
       
Mean radius of Earth RE = 6367 km
       
Permittivity of free space ${\displaystyle \epsilon_\circ
}$ = $8.854 \times 10^{-12}$ F/m   [1 F $\equiv$ 1 C/V $\equiv$ 1 C2/N-m]
       
constant in Coulomb's Law ${\displaystyle k_E =
{1 \over 4\pi\epsilon_\circ}
}$ = $8.988 \times 10^9$ N-m2/C2
       
Permeability of free space ${\displaystyle \mu_\circ
}$ = $1.2566 \times 10^{-6}$ H/m   =   $4 \pi \times 10^{-7}$ N/A2
       
constant in Biot-Savart Law ${\displaystyle k_M =
{\mu_\circ \over 4\pi}
}$ = 10-7 T-m/A
       
Electric charge of a proton e = $1.602 \times 10^{-19}$ C
       
Speed of light in vacuum c = $2.997 \times 10^{8}$ m/s
       
Proton rest mass Mp = $1.67 \times 10^{-27}$ kg   =   938 MeV/c2
       
Electron rest mass me = $9.11 \times 10^{-31}$ kg   =   0.511 MeV/c2
       
electron volt 1 eV $= 1.602 \times 10^{-19}$ J $= 1.602 \times 10^{-12}$ erg $= k_{\rm B} \times 11,600$ K
       
     
[t]lrcl  
 
 
Table: -- Constants and Conversion Factors. (You may not need all of these!)
Acceleration due to gravity $g_\circ$ = 9.81 m-s-2 (at Earth's surface)
       
Mean radius of Earth RE = 6367 km
       
Permittivity of free space ${\displaystyle \epsilon_\circ
}$ = $8.854 \times 10^{-12}$ F/m   [1 F $\equiv$ 1 C/V $\equiv$ 1 C2/N-m]
       
constant in Coulomb's Law ${\displaystyle k_E =
{1 \over 4\pi\epsilon_\circ}
}$ = $8.988 \times 10^9$ N-m2/C2
       
Permeability of free space ${\displaystyle \mu_\circ
}$ = $1.2566 \times 10^{-6}$ H/m   =   $4 \pi \times 10^{-7}$ N/A2
       
constant in Biot-Savart Law ${\displaystyle k_M =
{\mu_\circ \over 4\pi}
}$ = 10-7 T-m/A
       
Electric charge of a proton e = $1.602 \times 10^{-19}$ C
       
Speed of light in vacuum c = $2.997 \times 10^{8}$ m/s
       
Proton rest mass Mp = $1.67 \times 10^{-27}$ kg   =   938 MeV/c2
       
Electron rest mass me = $9.11 \times 10^{-31}$ kg   =   0.511 MeV/c2
       
electron volt 1 eV $= 1.602 \times 10^{-19}$ J $= 1.602 \times 10^{-12}$ erg $= k_{\rm B} \times 11,600$ K
       
       
 
 
Table: -- Constants and Conversion Factors. (You may not need all of these!)
Acceleration due to gravity $g_\circ$ = 9.81 m-s-2 (at Earth's surface)
       
Mean radius of Earth RE = 6367 km
       
Permittivity of free space ${\displaystyle \epsilon_\circ
}$ = $8.854 \times 10^{-12}$ F/m   [1 F $\equiv$ 1 C/V $\equiv$ 1 C2/N-m]
       
constant in Coulomb's Law ${\displaystyle k_E =
{1 \over 4\pi\epsilon_\circ}
}$ = $8.988 \times 10^9$ N-m2/C2
       
Permeability of free space ${\displaystyle \mu_\circ
}$ = $1.2566 \times 10^{-6}$ H/m   =   $4 \pi \times 10^{-7}$ N/A2
       
constant in Biot-Savart Law ${\displaystyle k_M =
{\mu_\circ \over 4\pi}
}$ = 10-7 T-m/A
       
Electric charge of a proton e = $1.602 \times 10^{-19}$ C
       
Speed of light in vacuum c = $2.997 \times 10^{8}$ m/s
       
Proton rest mass Mp = $1.67 \times 10^{-27}$ kg   =   938 MeV/c2
       
Electron rest mass me = $9.11 \times 10^{-31}$ kg   =   0.511 MeV/c2
       
electron volt 1 eV $= 1.602 \times 10^{-19}$ J $= 1.602 \times 10^{-12}$ erg $= k_{\rm B} \times 11,600$ K
       
     
[t]lrcl  
 
 
Table: -- Constants and Conversion Factors. (You may not need all of these!)
Acceleration due to gravity $g_\circ$ = 9.81 m-s-2 (at Earth's surface)
       
Mean radius of Earth RE = 6367 km
       
Permittivity of free space ${\displaystyle \epsilon_\circ
}$ = $8.854 \times 10^{-12}$ F/m   [1 F $\equiv$ 1 C/V $\equiv$ 1 C2/N-m]
       
constant in Coulomb's Law ${\displaystyle k_E =
{1 \over 4\pi\epsilon_\circ}
}$ = $8.988 \times 10^9$ N-m2/C2
       
Permeability of free space ${\displaystyle \mu_\circ
}$ = $1.2566 \times 10^{-6}$ H/m   =   $4 \pi \times 10^{-7}$ N/A2
       
constant in Biot-Savart Law ${\displaystyle k_M =
{\mu_\circ \over 4\pi}
}$ = 10-7 T-m/A
       
Electric charge of a proton e = $1.602 \times 10^{-19}$ C
       
Speed of light in vacuum c = $2.997 \times 10^{8}$ m/s
       
Proton rest mass Mp = $1.67 \times 10^{-27}$ kg   =   938 MeV/c2
       
Electron rest mass me = $9.11 \times 10^{-31}$ kg   =   0.511 MeV/c2
       
electron volt 1 eV $= 1.602 \times 10^{-19}$ J $= 1.602 \times 10^{-12}$ erg $= k_{\rm B} \times 11,600$ K
       

Mathematical Formulae  

\begin{displaymath}(1 + \delta)^{-1} \; = \; 1 \; - \; \delta \; + \; \delta^2
\; - \; \delta^3 \; + \; \delta^4 \; - \; \cdots \end{displaymath}


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Up: Science 1 Physics Final Exam, April 1999 Previous: Solenoid Design Answer EITHER this question