Earth (mass 6×10²⁴ kg) revolves around the Sun with angular speed 2×10⁻⁷ rad s⁻¹ in a circular orbit of radius 1.5×10⁸ km. The force exerted by the Sun on Earth, in newtons, is:
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Question

Earth (mass 6×10²⁴ kg) revolves around the Sun with angular speed 2×10⁻⁷ rad s⁻¹ in a circular orbit of radius 1.5×10⁸ km. The force exerted by the Sun on Earth, in newtons, is:

G1 Physics · Accepted Answer

Step 1: The required gravitational force is the centripetal force Mω²r. Step 2: Convert r=1.5×10¹¹ m; F=(6×10²⁴)(2×10⁻⁷)²(1.5×10¹¹)=3.6×10²² N=36×10²¹ N. Final answer: A — 36×10²¹.