Physics

Problem

An apple of mass

0.10\,\text{kg}

is released from rest at a height of

1.0\,\text{m}

above Earth’s surface. Ignore air resistance and assume the magnitude of Earth’s gravitational field at that location is

9.80\,\text{m}\,\text{s}^{-2}

. The mass of Earth is

6.0\times10^{24}\,\text{kg}

. a. Part 1: Calculate the magnitude of the gravitational force exerted on the apple by Earth. b. Part 2: State the magnitude of the force exerted on Earth by the apple and explain your reasoning. c. Part 3: Determine the magnitude of Earth’s acceleration produced by the force calculated in part (b). d. Part 4: Estimate the displacement of Earth’s center during the first

1.0\,\text{s}

of the apple’s fall. e. Part 5: Using your numerical results and appropriate reasoning, explain why the apple’s motion is easily observed while Earth’s motion is not.

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