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Tyrone and Mia have masses of 84 kg and 59 kg, respectively. They sit 1.0 m apart in the front center of Dr. H's Physics class. Determine the magnitude of the force of gravitational attraction between them.

Answer :

Final answer:

The gravitational force between Tyrone and Mia is calculated from Newton's Universal Law of Gravitation using their masses (84kg and 59kg) and distance (1m) apart. The calculated gravitational attraction is approximately 3.32 x 10^-8 N.

Explanation:

The question is asking about the gravitational attraction between two individuals - Tyrone and Mia, with masses of 84kg and 59kg respectively - seated 1.0m apart from each other. The gravitational force between two objects can be calculated using the formula Fgravity = G * (M1 * M2) / R², where G is the gravitational constant (6.67 x 10^-11 Nm²/kg²), M1 and M2 are the masses of the two objects, and R is the distance between them.

Let's use this equation to find the gravitational force between Tyrone and Mia. Here, M1 = 84kg (Tyrone’s mass), M2 = 59kg (Mia’s mass) and R = 1m. Substituting these values into the equation gives us, Fgravity = 6.67 x 10^-11 * (84*59) / 1² which is approximately 3.32 x 10^-8N. Therefore, the magnitude of the gravitational attraction between Tyrone and Mia is hence around 3.32 x 10^-8 N (Newtons). Note: This force is extremely small, which is why we do not feel the gravitational pull from each other in daily life. It is the gigantic mass of Earth that makes its gravitational pull noticeable.

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