Two charges are sitting 1.5 m apart with a force of 3 N between them. They are now moved farther apart to 2.25 m and one of the
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As the plastic sphere is charged, therefore it experience an electric force when placed in an electric fields and also experiences gravitational force acts downward so the electric force must act upward.
Let is electric force and
is gravitational force.
If these forces are balanced, therefore
or
Given, and
.
Substituting these values in above equation we get,
Thus, the magnitude of electric field is .
As the charge is negative, the electric field at the location of the plastic sphere must be pointing downward.
Answer:
The net should be placed at a height of 8.45 m
Explanation:
In order to calculate the height you have to apply the equations of <em>projectil motion.</em>
For x-axis, the position at a time t is given by:
Xf=Xo +(VoCosα)t (I)
Where Xf is the final position, Xo is the initial position, Vo is the initial speed and t is the time.
For the y-axis, the position at a time t is given by:
Yf=Yo + (VoSinα)t - 0.5g (II)
Where Yf is the final position, Yo is the initial position, Vo is the initial speed, t is the time and g is the acceleration of gravity.
For both equations, ∝ is the angle formed by the cannon and the horizontal
The height where the net should be placed in order to catch the daredevil is given by replacing the time when the daredevil will be in the horizontal position of 39.7 m in the equation of position for the y-axis.
So, you have to calculate the time using (I)
Let the system of reference be placed at x=o and y=o
Xf= 0 + 25.9Cos(31,4◦)t
Xf=39.7
39.7=22.1t
Dividing both sides by 22.1 to find the value of t:
t=1.79 seconds
Replacing the time in equation (II) to find the height:
Yf=0 +25.9Sin(31,4◦)(1.79) - 0.5(9.8)
Yf= 8.45 m
So the height is 8.45 m