Concept explainers
Three billiard balls, the two-ball, the four-ball, and the eight-ball, are arranged on a pool table as shown in Figure P7.26. Given the coordinate system shown and that the mass of each ball is 0.150 kg, determine the gravitational field at
The gravitational field at
Answer to Problem 41PQ
The gravitational field at
Explanation of Solution
The following figure gives the direction of field vectors.
The point at which gravitational field is to be calculated is identified as
Use figure1, calculate the distance between two-ball and point at which field has to be calculated.
Here,
Use figure1, to calculate angle
Here,
Write the expression for the gravitational field at a point due to a mass
Here,
Use equation (I) to write expression for the gravitational field at
Use equation (I) to write expression for the gravitational field at
Use equation (I) to write expression for the gravitational field at
Use figure1, to calculate direction of field vector due to eight-ball.
Use figure1, to calculate direction of field vector due to two-ball.
Use figure1, to calculate direction of field vector due to four-ball.
Substitute
Write the expression for the total field at
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the gravitational field at
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Chapter 7 Solutions
Physics for Scientist and Engineers (Foundations And Connection; Volume I and II) LLF edition
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