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,
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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.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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