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QuestionPhysics

"Which of the following is a reasonable mass for a pencil? A. 15 kg B. 15 g C. 15 mg D. 15 µg"
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Step 1:
Let's solve this step by step:

Step 2:
: Understand the context

A pencil is a common writing instrument made of wood and graphite. We need to estimate a reasonable mass for a typical pencil.

Step 3:
: Consider typical masses of everyday objects

- 15 kg is extremely heavy (about the weight of a large dog or a small child) - 15 mg is extremely light (almost microscopic) - 15 µg is impossibly light (smaller than a grain of dust) - 15 g is in the range of small, lightweight objects

Step 4:
: Estimate a pencil's typical mass

- A standard wooden pencil typically weighs between 5 - 10 grams - This means 15 g is very close to a realistic pencil mass

Step 5:
: Eliminate unreasonable options

- A. 15 kg is far too heavy - C. 15 mg is far too light - D. 15 µg is impossibly light

Step 6:
: Verify the reasonable option

- B. 15 g falls within the expected mass range for a typical pencil

Final Answer

B. 15 g is a reasonable mass for a pencil.