Explanation:
It is given that,
Mass of the ball, m = 1 lb
Length of the string, l = r = 2 ft
Speed of motion, v = 10 ft/s
(a) The net tension in the string when the ball is at the top of the circle is given by :



F = 18 N
(b) The net tension in the string when the ball is at the bottom of the circle is given by :



F = 82 N
(c) Let h is the height where the ball at certain time from the top. So,


Since, 

Hence, this is the required solution.
(a) The tension on the wire when the two charges have opposite signs is 383.5 N.
(b) The tension on the wire if both charges were negative is 3.640.25 N.
The given parameters;
- <em>first charge, q₁ = 8.75 μC </em>
- <em>second charge, q₂ = -6.5 μC </em>
- <em>electric field, E = 1.85 x 10⁸ N/C</em>
- <em>distance between the two charges, r = 2.5 cm</em>
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(a)
The attractive force between the charges is calculated as follows;

The force on the negative charge due to the electric field is calculated as follows;

The tension on the wire is the resultant of the two forces and it is calculated as follows;

(b) when the two charges are negative
The repulsive force between the two charges is calculated as follows;

The force on the first negative charge due to the electric field is calculated as follows;

The force on the second negative charge due to the electric field is calculated as follows;

The tension on the wire is the resultant of the three forces and it is calculated as follows;

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Answer:
The increase in the gravitational potential energy is 29.93 joules.
Explanation:
Given that,
Mass of the box, m = 2.35 kg
It is lifted from the floor to a tabletop 1.30 m above the floor, h = 1.3 m
We need to find the increase the gravitational potential energy. Initial it will placed at ground i.e. its initial gravitational potential is equal to 0. The increase in the gravitational potential energy is given by :


U = 29.93 Joules
So, the increase in the gravitational potential energy is 29.93 joules. Hence, this is the required solution.