High School

An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 32,200 J to melt it. What is the time taken to melt the ice cube?

Answer :

The time taken to melt an ice cube in a microwave oven delivering 135 W of power and requiring 32200 J of energy is 238.52 seconds. Therefore is the correct answer is 238.52 seconds.

The question involves calculating the time taken for an ice cube to melt in a microwave oven given the power of the microwave and the energy required to melt the ice. This is a classic physics problem related to energy transfer and power. To solve this, we can use the relationship between power (P), energy (Q), and time (t), which is given by the equation P = Q/t. We rearrange this equation to solve for time: t = Q/P.

In this case, the microwave delivers 135 W of power, and the energy required to melt the ice cube is 32200 J. Therefore, the time (t) taken to melt the ice cube is calculated as t = 32200 J / 135 W.

Performing the calculation gives:

t = 32200 J / 135 W = 238.52 seconds.

So, the time taken to melt the ice cube is 238.52 seconds.