Final answer:
To make m the subject of the formula mc² - 2k = mg, we can isolate m by moving the term with m to the other side of the equation, factoring out m, and then solving for m. The subject of the formula is m = (2k) / (c² - g).
Step-by-step explanation:
Answer:
To make
m the subject of the formula, we need to isolate
m on one side of the equation. Start by moving the term with
m to the left side: mc² - mg = 2k Next, factor out
m: m(c² - g) = 2k To solve for
m, divide both sides of the equation by (c² - g): m = (2k) / (c² - g) Therefore, the subject of the formula is
m = (2k) / (c² - g). Example: If we have the values c = 3, g = 5, and k = 10, we can substitute them into the formula to find the corresponding value of
m: m = (2(10)) / (3² - 5) = (20) / (9 - 5) = 20 / 4 = 5. So, when c = 3, g = 5, and k = 10,
m equals 5.
Learn more about Rearranging equations