A scientist is performing an experiment to measure the Coulomb\'s Law constant k

Question

A scientist is performing an experiment to measure the Coulomb's Law constant k The scientist builds a very small apparatus shown in the figure, where an insulating ramp is angled at an angle theta from the horizontal Fixed to the base of the ramp is a metal sphere connected to a voltage source The charge Q on this sphere can be changed by adjusting the voltage source A smaller ball of mass m is placed on the ramp and given varying charges q The scientist adjusts the value of Q until the sphere and ball are a certain distance d apart and in equilibrium The distance d is the same in all trials. The scientist performs several trials and plots the two charges q and Q in the graph below Pay attention to the labels on the axes Give a physical explanation for the gap in the data between Q = 6 mu C and Q = 11 mu C Select five different pairs of q and Q values from the scientist's graph and wane them in the table above What two quantities should be plotted that would yield a linear graph? What would the slope of this graph represent? Plot those two quantities on the and above Label the axes with appropriate symbols, units, and scales Draw a best-fit lme State the slope of your best-fit line and show how the slope is used to determine the value of the Coulomb's Law Constant k

Explanation / Answer

This happens due to the fact that there is also friction which is not constant throughpot. Initially it was acting in upward direction and has a constant value (fmax). But after Q=6C, the friction force keeps on decreasing and goes to zero and then changes in direction (to downward direction) and starts increasing. It will increase to its maximum value (fmax in downward direction) beofore 11C, after which it remains constant.

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