An ice cube is placed in a microwave oven. Suppose the oven delivers 105 W, of power to the ice cube and that it takes 32,200 J to melt it. how long does it take for the ice cube to melt?
306.67 sec
Power=Heat/time
105=32200/time
solve for time in seconds.
To find the time it takes for the ice cube to melt, we can use the formula:
Time = Energy / Power
Given:
Power of the microwave oven (P) = 105 W
Energy required to melt the ice cube (E) = 32,200 J
Plugging in the values into the formula, we have:
Time = 32,200 J / 105 W
To find the time, we need to convert the given power to joules per second. Since 1 watt is equal to 1 joule per second, we have:
Time = 32,200 J / (105 J/s)
Simplifying further:
Time = 322 seconds
Therefore, it will take approximately 322 seconds (or 5 minutes and 22 seconds) for the ice cube to melt in the microwave oven.
To find out how long it takes for the ice cube to melt, we need to use the equation:
Energy (in joules) = Power (in watts) × Time (in seconds)
Given that the power delivered to the ice cube is 105 W, and the energy required to melt it is 32,200 J, we can rearrange the equation to solve for time:
Time = Energy / Power
Substituting the values, we have:
Time = 32,200 J / 105 W
Now let's calculate the time:
Time = 307.62 seconds
Therefore, it takes approximately 307.62 seconds for the ice cube to melt.