Physics

Question

Calculate the force between two touching grape fruits each with a radius of 0.08 meters and a mass of 0.45 kilograms

2 Answer

  • Hope it cleared your doubt.

  • Newton's formula for the force of gravity:

                         F  =  G ·  M₁ · M₂ / D²

    Here's what the letters mean:

    F . . . the strength of the gravitational force between two objects
    G . . . the universal gravitational constant for SI units:  6.67 x 10⁻¹¹ N·m²/kg²
    M₁ . . . the mass of one object
    M₂ . . . the mass of the other object
    D . . . the distance between the centers of the objects

    If the radius of each grapefruit is 0.08 meter and their skins are touching,
    then their centers are 0.16 meter apart.

    The force between them is

                  F  =  G ·  M₁ · M₂ / D²

                      = (6.67 x 10⁻¹¹ N·m² / kg²) · (0.45 kg) · (0.45 kg) / (0.16 m)²

                     =  (6.67 x 10⁻¹¹ · 0.45 · 0.45) / (0.0256)   N·m²·kg²/kg²·m²

                     =  (  1.35 x 10⁻¹¹)  /  (0.0256)  Newton

                     =          5.28 x 10⁻¹⁰  Newton    (rounded)

                    (about  0.0000000019 ounce)
NEWS TODAY