High School

An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and it takes 34,200 J to melt it.

Part A: How long does it take for the ice cube to melt?

A) 250 s
B) 300 s
C) 400 s
D) 500 s

Answer :

Final answer:

Using the formula time = energy / power, it's calculated that it takes approximately 250 seconds for the ice cube to melt in the microwave oven, with the oven delivering 135 W and it requiring 34,200 J to melt the ice.

Explanation:

To calculate the time it will take for the ice cube to melt in the microwave oven, we can use the formula relating power, energy, and time: time (t) = energy (E) / power (P). Given that the microwave delivers 135 watts of power and it takes 34,200 joules to melt the ice cube, we can compute the time as follows:

t = E / P = 34,200 J / 135 W = 253.333... seconds

When we look at the available multiple-choice options, we find that the closest answer to our calculation is Option A) 250 seconds. Therefore, it will take approximately 250 seconds for the ice cube to melt.