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an agglomeration of complex physics problems to solve in a fun & interactive way.

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1 → the Earth has a mass of 6×1024 kg and orbits the Sun in 3.15×107 seconds at a constant radius of 1.5×1011 m. answer the following questions in expanded form and without units, unless otherwise stated. source: Cracking the AP Physics 1 Exam (Premium Edition)

CONTINUE

(a) what is the Earth's centripetal acceleration around the Sun?

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Centripetal acceleration is given by the equation ac = v2 ÷ R, where ac is the centripetal acceleration (m⁄s2), v is the tangential speed (m⁄s), and R is the radius of the circle (m). Knowing that v = 2πR ÷ T, we can derive an equation for centripetal acceleration where ac = 4π2R ÷ T 2. Once you substitute your givens for each respective variable, you get the correct answer of 0.006 m⁄s2.

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CONTINUE

(b) what is the gravitational force acting between the Sun and the Earth? write your answer in E notation.

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The gravitational force is the force that keeps the Earth traveling in a circle around the Sun. More specifically, mac = (6×1024 kg)(6.0×10-3 m⁄s2) = 3.6×1022 N or 3.6e+22 N.

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CONTINUE

(c) what is the mass of the Sun?

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