Final answer:
Calculate the uncertainty in velocity (v) by propagating uncertainties in charge (Q) and capacitance (C) using the formula for propagating uncertainty and the partial derivatives of v with respect to Q and C.
Step-by-step explanation:
To find the uncertainty in v, we can use the rules for propagating uncertainty. The equation V=QC represents the relationship between v, Q, and C. To find the uncertainty in v, we need to calculate the partial derivative of v with respect to Q and C, and then use the formula for propagating uncertainty. Let's go through the steps:
Calculate % uncertainty in Q: This depends on the given information about the uncertainty in Q.
Calculate % uncertainty in C: This depends on the given information about the uncertainty in C.
Calculate the partial derivative of v with respect to Q: This can be done by differentiating V=QC with respect to Q.
Calculate the partial derivative of v with respect to C: This can be done by differentiating V=QC with respect to C.
Use the formula for propagating uncertainty to find the uncertainty in v, using the uncertainties in Q and C and the partial derivatives of v with respect to Q and C.
By following these steps, you will be able to derive the equation for the uncertainty in v.