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Question: Two apples of different masses, exert a gravitational force of 2.9 x 10-11 N upon each other. If the two apples are 0.25 m apart and one apple has a mass of 0.15 kg, what is the mass of the second apple?
We can use Newton's law of universal gravitation to solve this problem. The equation is F = G * (m1*m2)/r². Where: - F is the force of attraction between the two bodies, in this case the apples. F = 2.9 x 10^-11 N. - G is the gravitational constant. G = 6.674 x 10^-11 N*(m/km)². - m1 and m2 are the masses of the apples. We already have m1 = 0.15 kg. We need to find m2. - r is the distance between the two bodies. r = 0.25 m. Rearranging the equation to find the mass of the second apple (m2) gives m2 = F * r² / (G * m1). Plugging in the given values: m2 = (2.9 x 10^-11 N * (0.25 m)²) / (6.674 x 10^-11 N*(m/km)² * 0.15 kg) m2 ≈ 0.161 kg So the mass of the second apple is approximately 0.161 kg.
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