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Q. 75

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 713

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Short Answer

In Problems 74 through 76 you are given the equation(s) used to solve a problem. For each of these,

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem.

75.

a. "Find the speed of a proton launched from a distance of to a charge of with a speed of while at a distance of from the charge."

b.

See the step by step solution

Step by Step Solution

Step 1 : Given information and theory used 

Given equation :

Theory used :

Coulomb's law states that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.

Step 2 : Writing a realistic problem finishing the solution of the problem.

a. Real life problem :

"Find the speed of a proton launched from a distance of to a charge of with a speed of while at a distance of from the charge."

b. We can derive the following numerical equality from the law of conservation of energy, which is presented in the exercise:

We can simplify this by conducting calculations, as shown below, to make it easier:

Now we can calculate the speed :

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