At their closest approach, Venus and Earth are 4.20 × 10¹⁰ m apart. The mass of Venus is 4.87 × 10²⁴ kg, the mass of Earth is 5.97 × 10²⁴ kg, and G = 6.67 x 10^-11 N·m²/kg². What is the force exerted by Venus on Earth at that point? A) 1.10 × 10¹⁸ N B) 4.62 × 10²⁸ N C) 5.43 × 10²⁶ N D) 6.30 × 10²⁰ N E) 1.72 × 10¹⁹ N

Question

Quizplus · Accepted Answer

The force exerted by Venus on Earth is given by the equation F = Gm1m2/r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. Plugging in the given values, we get F = (6.67 x 10^-11 N·m^2/kg^2) * (4.87 x 10^24 kg) * (5.97 x 10^24 kg) / (4.20 x 10^10 m)^2 = 1.10 x 10^18 N.

At Their Closest Approach, Venus and Earth Are 4