Answer:
<em>I must travel with a speed of 2.97 x 10^8 m/s</em>
Explanation:
Sine the spacecraft flies at the same speed in the to and fro distance of the journey, then the time taken will be 6 months plus 6 months
Time that elapses on the spacecraft = 1 year
On earth the people have advanced 120 yrs
According to relativity, the time contraction on the spacecraft is gotten from
 =
 = 
where
 is the time that elapses on the spacecraft = 120 years
 is the time that elapses on the spacecraft = 120 years
 = time here on Earth = 1 year
 = time here on Earth = 1 year
 is the ratio v/c
 is the ratio v/c
where 
v is the speed of the spacecraft = ?
c is the speed of light = 3 x 10^8 m/s
substituting values, we have
120 = 1/
squaring both sides of the equation, we have
14400 = 1/
14400 - 14400 = 1
 = 1
14400 - 1 = 14400 
 
14399 = 14400 
 
 =  14399/14400 = 0.99
 =  14399/14400 = 0.99
 = 0.99
 = 0.99
substitute β = v/c
v/c = 0.99
but c = 3 x 10^8 m/s
v = 0.99c = 0.99 x 3 x 10^8 = <em>2.97 x 10^8 m/s</em>
 
        
             
        
        
        
The force is perpendicular to the plane formed by v and B. Since the force is zero if v is parallel to B, charged particles often follow magnetic field lines rather than cross them.
B) F = |q|vBsin
 
        
                    
             
        
        
        
Answer:
This has all the answer (Data sheet, graph, answers to the questions, and the summary) :) 
 
        
             
        
        
        
Answer:

Explanation:
<u>Given:</u>
- Diameter of the plates of the capacitor, D = 21 cm = 0.21 m.
- Distance of separation between the plates, d = 1.0 cm = 0.01 m.
- Minimum value of electric field that produces spark,  
When the dimensions of the plate of the capacitor is comparatively much larger than the distance of separation between the plates, then, according to the Gauss' law of electrostatics, the value of the electric field strength in the region between the plates of the capacitor is given by

where,
 = surface charge density of the plate of the capacitor = = surface charge density of the plate of the capacitor = . .
 = magnitude of the charge on each of the plate. = magnitude of the charge on each of the plate.
 = surface area of each of the plate = = surface area of each of the plate = 
 = electrical permittivity of free space, having value = = electrical permittivity of free space, having value = 
For the minimum value of electric field that produces spark, 

It is the maximum value of the magnitude of charge which can be added up to each of the plates of the capacitor.