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1 answer:
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Answer:
E = (-3.61^i+1.02^j) N/C
magnitude E = 3.75N/C
Explanation:
In order to calculate the electric field at the point P, you use the following formula, which takes into account the components of the electric field vector:
(1)
Where the minus sign means that the electric field point to the charge.
k: Coulomb's constant = 8.98*10^9Nm^2/C^2
q = -4.28 pC = -4.28*10^-12C
r: distance to the charge from the point P
The point P is at the point (0,9.83mm)
θ: angle between the electric field vector and the x-axis
The angle is calculated as follow:
The distance r is:
You replace the values of all parameters in the equation (1):
The electric field is E = (-3.61^i+1.02^j) N/C with a a magnitude of 3.75N/C
The initial velocity is 0.65 m/s
Explanation:
The motion of the roller coaster is a uniformly accelerated motion, so we can solve the problem by using the following suvat equation:
where
s is the displacement
u is the initial velocity
v is the final velocity
t is the time
For the roller coaster in this problem:
v = 35 m/s
t = 2.3 s
s = 41 m
Solving the equation for u, we find the initial velocity:
Learn more about accelerated motion:
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