Final answer:
To solve the equation 2G/k = 5/M for M, take the reciprocal of both sides and then multiply by 5 and k, resulting in M = (5k)/(2G).
Step-by-step explanation:
The student has asked to solve the equation 2G/k = 5/M for M. To solve for M, you can take the reciprocal of both sides of the equation and then solve for M by multiplying both sides by 5 and then by k. Here are the steps:
- Take the reciprocal of both sides:
M/5 = k/(2G). - Multiply both sides by 5: M = 5k/(2G).
- Finally, simplify the equation: M = (5k)/(2G).
The solution for M is M = (5k)/(2G), where k is a given constant and G is the gravitational constant.