Question

How to obtain equation (8) from equations (5), (6), and (7) in the laboratory manual? (6 pts)

a. Combine equations (5) and (6), then substitute into equation (7)
b. Add equations (5) and (7), then subtract equation (6)
c. Multiply equations (6) and (7), then add to equation (5)
d. Divide equation (7) by equation (5), then multiply by equation (6)

Answer 1

To derive equation (8), one should combine equations (5) and (6), and then substitute into equation (7), checking if the answer is reasonable to ensure accuracy. Option A is correct.

Step-by-step explanation:

In order to obtain equation (8) from equations (5), (6), and (7), the best strategy is option a: Combine equations (5) and (6), then substitute into equation (7). This process generally aligns with the steps one would take in a physics lab to solve for an unknown. Initially, you would solve the appropriate equation (5) for the quantity to be determined (the unknown).

Then, you would substitute the known quantities along with their units into the appropriate equation (6) and obtain numerical solutions complete with units. Lastly, you would substitute these solutions into another equation (7), check the answer for its reasonableness, and ensure that it makes sense.

Combine equations (5) and (6) to obtain a new equation.

Substitute the new equation into equation (7) to replace the corresponding variables.

Simplify the equation to obtain equation (8).