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An ice cube is placed in a microwave oven. If the oven delivers 135 W of power to the ice cube, how much time will it take for the oven to melt the ice cube if it takes 32,200 J to melt it?

a) 238.5 seconds
b) 153.6 seconds
c) 428.1 seconds
d) 236.5 seconds

Answer :

Final answer:

To calculate the melting time for the ice cube in the microwave, divide the energy required (32200 J) by the power of the microwave (135 W), which equals 238.5 seconds. Hence, the answer is 238.5 seconds.

Explanation:

To find out how long it will take for a microwave oven delivering 135 W of power to melt an ice cube that requires 32200 J of energy, you can use the relationship between power (P), energy (E), and time (t). The formula to use is E = P * t, where E is the energy in joules, P is the power in watts, and t is the time in seconds. Solve for t to find the time required to melt the ice cube.

First, rearrange the formula to find t: t = E / P. Then, plug in the values provided: t = 32200 J / 135 W = 238.5185... seconds. When rounded to one decimal place, it takes approximately 238.5 seconds to melt the ice cube.

Therefore, the correct answer is: a) 238.5 seconds.

To find the time it would take for the microwave oven to melt the ice cube, we can use the formula:

Time (t) = Energy (E) / Power (P)

Given that the energy required to melt the ice cube is 32200 J and the power delivered by the oven is 135 W, we can plug these values into the formula:

t = 32200 J / 135 W

Calculating this gives us an answer of approximately 238.5 seconds.

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Rewritten by : Barada