Answer:
Approximately  (given that the magnitude of this charge is
 (given that the magnitude of this charge is  .)
.)
Explanation:
If a charge of magnitude  is placed in an electric field of magnitude
 is placed in an electric field of magnitude  , the magnitude of the electrostatic force on that charge would be
, the magnitude of the electrostatic force on that charge would be  .
.
The magnitude of this charge is  . Apply the unit conversion
. Apply the unit conversion  :
:
 .
.
An electric field of magnitude  would exert on this charge a force with a magnitude of:
 would exert on this charge a force with a magnitude of:
 .
.
Note that the electric charge in this question is negative. Hence, electrostatic force on this charge would be opposite in direction to the the electric field. Since the electric field points due south, the electrostatic force on this charge would point due north.
 
        
             
        
        
        
Answer: The field lines bend away from the second positive charge
Explanation: opposite attracts, same repulse
 
        
                    
             
        
        
        
Answer:
The pendulum frequency  is (c) the same, or very close to it
Explanation:
The simple pendulum corresponds to a simple harmonic movement, to reach this approximation in the expression of the force the sine of the angle (θ) approaches an angle value, this is only true for small angles, generally less than 15º
Sine (15th) = 0.2588
The angle in radians is 15º π / 180º = 0.26180.2588 / 0.2618
The difference between these two values is less than 1.2%
for smaller angle the difference is reduced more
Therefore, the period for both the 5º and 10º angles is almost the same
 
        
             
        
        
        
Answer:
200000 J
Explanation:
From the question given above, the following data were obtained:
Mass (m) of roller coaster = 1000 Kg
Velocity (v) of roller coaster = 20 m/s
Kinetic energy (KE) =?
Kinetic energy is simply defined as the energy possess by an object in motion. Mathematically, it can be expressed as:
KE = ½mv²
Where 
KE => is the kinetic energy. 
m =>is the mass of the object 
V => it the velocity of the object. 
With the above formula, we can obtain the kinetic energy of the roller coaster as follow:
Mass (m) of roller coaster = 1000 Kg
Velocity (v) of roller coaster = 20 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 1000 × 20²
KE = 500 × 400
KE = 200000 J
Therefore, the kinetic energy of the roller coaster is 200000 J.