Assume that the nutritional content of an apple-say, 50 Cal (1 Cal = 1000 cal) - could be used to light a light bulb. For how many minutes would there be light from each of the following? (a) A 100-watt incandescent bulb (1 W = 1 J/s)

검증된 단계별 안내

Step 1: Convert the energy content of the apple from Calories to Joules. Remember that 1 Calorie (Cal) is equivalent to 4184 Joules (J).

Step 2: Convert the power of the light bulb from Watts to Joules per second. Remember that 1 Watt (W) is equivalent to 1 Joule per second (J/s).

Step 3: Calculate the total time the light bulb can be lit by dividing the total energy content of the apple (in Joules) by the power of the light bulb (in Joules per second). This will give you the total time in seconds.

Step 4: Convert the total time from seconds to minutes by dividing by 60, since there are 60 seconds in a minute.

Step 5: The result from step 4 is the total time the light bulb can be lit using the energy from the apple.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Energy Conversion

Energy conversion refers to the process of changing energy from one form to another. In this context, the nutritional energy from the apple, measured in calories, is converted into electrical energy to power a light bulb. Understanding how to convert calories to joules (1 Cal = 4184 J) is essential for calculating the total energy available for lighting.

Power and Energy Relationship

Power is the rate at which energy is used or produced, measured in watts (W), where 1 W = 1 J/s. To determine how long a light bulb can operate on a given amount of energy, one must understand the relationship between total energy available and the power rating of the bulb. This relationship allows us to calculate the duration of light by dividing the total energy by the power consumption of the bulb.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, it is crucial to convert the energy from calories to joules and understand the relationship between watts and joules per second. Mastery of unit conversion ensures accurate calculations and helps in understanding how different units relate to each other in the context of energy and power.