Final answer:
To find the power absorbed by the 6Ω resistor, you need to calculate the current flowing through the 2Ω resistor and then use that to calculate the power absorbed by the 6Ω resistor.
Step-by-step explanation:
The power dissipated by a resistor can be calculated using the formula P = I²R. Given that the power absorbed by the 2Ω resistor is 60W, we can calculate the current, I, flowing through it by rearranging Ohm's law V = IR to I = V/R. The voltage across the 2Ω resistor can be found using the power formula, P = IV, and rearranging it to V = P/I. Once we know the current through the 2Ω resistor, we can calculate the power absorbed by the 6Ω resistor using the formula P = I²R.