# Two objects have masses of #9 MG# and #5 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #36 m# to #48 m#?

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) * (1/r2 - 1/r1)

Where: ΔU = change in gravitational potential energy G = gravitational constant (6.674 × 10^-11 N*m^2/kg^2) m1, m2 = masses of the objects (in kilograms) r1, r2 = initial and final distances between the objects (in meters)

Plugging in the values: m1 = 9 MG = 9 × 10^6 kg m2 = 5 MG = 5 × 10^6 kg r1 = 36 m r2 = 48 m

Calculate: ΔU = - (6.674 × 10^-11 N*m^2/kg^2) * (9 × 10^6 kg * 5 × 10^6 kg) * (1/48 - 1/36)

ΔU ≈ - (6.674 × 10^-11) * (9 * 5 * 10^12) * (1/48 - 1/36)

ΔU ≈ - (6.674 × 10^-11) * (45 * 10^12) * (0.02083 - 0.02778)

ΔU ≈ - (6.674 × 10^-11) * (45 * 10^12) * (-0.00695)

ΔU ≈ 2.515 × 10^8 joules

So, the change in gravitational potential energy between the objects is approximately 2.515 × 10^8 joules.

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

- An object with a mass of #2 kg# is revolving around a point at a distance of #7 m#. If the object is making revolutions at a frequency of #1 Hz#, what is the centripetal force acting on the object?
- Riders on the Behemoth roller coaster pass through a hammerhead turn at a speed of 122.4km/hr and experience a centripetal acceleration of 37.2m/s². How much force would a person that weighs 539N feel on this turn?
- Is it true that all bodies and objects on the earth's surface are in circular motion due to the earth's rotation?
- A model train with a mass of #4 kg# is moving along a track at #21 (cm)/s#. If the curvature of the track changes from a radius of #420 cm# to #140 cm#, by how much must the centripetal force applied by the tracks change?
- A model train with a mass of #9 kg# is moving along a track at #18 (cm)/s#. If the curvature of the track changes from a radius of #36 cm# to #42 cm#, by how much must the centripetal force applied by the tracks change?

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