High School

You place an ice cube in a microwave oven. If it requires 32,200 J to melt the ice cube and the oven delivers 91 W of power to the ice cube, determine the time (in minutes) needed to melt the ice cube.

Answer :

To melt the ice cube, it would take approximately 5.91 minutes in the microwave oven, given that it requires 32,200 J to melt the ice cube and the oven delivers 91 W of power.


To determine the time needed to melt the ice cube, we can use the formula: Time = Energy / Power.

Given that it requires 32,200 J to melt the ice cube and the oven delivers 91 W of power, we can plug these values into the formula.

Time = 32,200 J / 91 W

To simplify the calculation, we need to convert the power to joules per second (J/s), since the unit of energy is in joules (J).

1 watt (W) = 1 joule per second (J/s)

Therefore, the power delivered by the oven is 91 J/s.

Now we can substitute the values into the formula:

Time = 32,200 J / 91 J/s

Simplifying this equation gives us:

Time = 354.9 s

Since the question asks for the time in minutes, we can convert seconds to minutes by dividing by 60:

Time = 354.9 s / 60 s/min

Time = 5.91 min (rounded to two decimal places)

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