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Long, long ago, on a planet far, far away, a physics

Chapter 20, Problem 98GP

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QUESTION:

Problem 98GP

Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250-kg ball with zero net charge was dropped from rest at a height of 1.00 m. The ball landed 0.552 s later. Next, the ball was given a net charge of 7.75 μC and dropped in the same way from the same height. This time the ball fell for 0.680 s before landing. What is the electric potential at a height of 1.00 m above the ground on this planet, given that the electric potential at ground level is zero? (Air resistance can be ignored.)

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QUESTION:

Problem 98GP

Long, long ago, on a planet far, far away, a physics experiment was carried out. First, a 0.250-kg ball with zero net charge was dropped from rest at a height of 1.00 m. The ball landed 0.552 s later. Next, the ball was given a net charge of 7.75 μC and dropped in the same way from the same height. This time the ball fell for 0.680 s before landing. What is the electric potential at a height of 1.00 m above the ground on this planet, given that the electric potential at ground level is zero? (Air resistance can be ignored.)

ANSWER:

Solution 98 GP:

Step 1 of 2:-

Here, we have to find the electric potential at 1 m above the ground, at the new planet.

The gravitational force on the ball is,

We don’t know the acceleration due to gravity on that planet, so let’s calculate that first.

From equation of motion,

The gravitational force on the ball is,

.

The electrical force on the ball is,

.

The net force on the ball will be,

----------(1)

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