Calculating the Force of Attraction Between Jenna and Danny
Question:
Answer:
The force of attraction between Jenna and Danny is approximately 4.41 × 10^-9 Newtons.Explanation:
Newton's Law of Universal Gravitation:
The force of attraction between two objects can be calculated using Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
where:
- F is the force of attraction
- G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2)
- m1 and m2 are the masses of the two objects
- r is the distance between their centers of mass
Given Data:
Jenna's mass (m1) = 53 kg
Danny's mass (m2) = 82 kg
Distance between them (r) = 1.2 m
Calculations:
Substitute the given values into the formula:
F = (6.674 × 10^-11 N m^2/kg^2) * (53 kg * 82 kg) / (1.2 m)^2
Solve for F:
F ≈ 4.41 × 10^-9 N
Therefore, the force of attraction between Jenna and Danny is approximately 4.41 × 10^-9 Newtons.