Final answer:
Using Newton's law of universal gravitation, the gravitational force between two individuals with masses of 50 kg and 75 kg separated by 0.1 meter can be calculated. None of the provided answer options is correct, suggesting a potential error or typo in the question as it was presented.
Step-by-step explanation:
The gravitational force between two objects can be calculated using Newton's law of universal gravitation, which states that every point mass attracts every other point mass by a force acting along the line intersecting both points. The formula for calculating this force is:
F = G × ( m1 × m2 ) / r^2
Where:
For the example question, we use the masses 50 kg and 75 kg for Sweetie Pie and their partner, respectively, and a distance of 0.1 meter:
F = (6.674 × 10^-11 N · m^2/kg^2) × (50 kg × 75 kg) / (0.1 m)^2
F = 2.5 × 10^-7 N
This value is not listed in the answer options, indicating a potential error in calculations or a typo. Normally, the correct calculation should yield a value closer to the listed options if the problem is stated correctly. Ensuring the values and units are accurate for the constants and variables will provide the correct answer.