Calculating the Force of Attraction Between Jenna and Danny

Question:

What is the force of attraction between Jenna and Danny when they are separated by a distance of 1.2 m?

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.

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