# Two objects have masses of #42 MG# and #25 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #21 m# to #15 m#?

The change in gravitational energy is

The potential energy per kilogram at a point in a field is known as the gravitational potential.

The universal constant of gravitation is

G is 6.67 * 10^-11 Nm^2 kg^-2.

Consequently,

Thus,

By signing up, you agree to our Terms of Service and Privacy Policy

To calculate the change in gravitational potential energy, you can use the formula:

ΔU = -G * ((m1 * m2) / r2_final - (m1 * m2) / r2_initial)

where: ΔU is the change in gravitational potential energy G is the gravitational constant (6.674 × 10^-11 N*m^2/kg^2) m1 and m2 are the masses of the objects r_initial is the initial distance between the objects r_final is the final distance between the objects

Plugging in the given values: m1 = 42 MG = 42 * 10^6 kg m2 = 25 MG = 25 * 10^6 kg r_initial = 21 m r_final = 15 m

ΔU = -6.674 × 10^-11 * ((42 * 10^6 * 25 * 10^6) / (15^2) - (42 * 10^6 * 25 * 10^6) / (21^2))

Calculating this expression will give you the change in gravitational potential energy.

By signing up, you agree to our Terms of Service and Privacy Policy

- What would happen to the earth if both the sun and the moon were to disappear instantly?
- A model train with a mass of #7 kg# is moving along a track at #15 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #45 cm#, by how much must the centripetal force applied by the tracks change?
- Two objects have masses of #32 MG# and #23 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #7 m# to #32 m#?
- Two objects have masses of #45 MG# and #36 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #48 m# to #18 m#?
- An innocent boy was sitting on a perfectly hemispherical boulder of radius #R#. It was a dark and rainy night... He slides off the boulder while asleep (assume no friction). At what angle from the vertical, and at what height would he slide off?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7