1 answer

Two objects have masses of #3 MG# and #15 MG#. How much does the gravitational potential energy between the objects

Question:

Two objects have masses of #3 MG# and #15 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #130 m# to #24 m#?

Answers

The change in gravitational potential energy is #=10.2*10^-5J#

Explanation:

Gravitational potential is the potential energy per kilogram at a point in a field.

So the units are #J, "Joules"#

#Phi=-G(M_1M_2)/R#

The gravitational universal constant is

#G=6.67*10^-11Nm^2kg^-2#

The masses causing the field is #=M_1 kg# and #=M_2 kg#

The mass is #M_1=3MG=3*10^6g=3*10^3kg#

The mass is #M_2=15MG=15*10^6g=15*10^3kg#

The distance between the centers is #=Rm#

The distance #R_1=130m#

The distance #R_2=24m#

Therefore,

#Phi_1=(-G*(3*10^3*15*10^3)/130)#

#Phi_2=(-G*(3*10^3*15*10^3)/24)#

So,

#Phi_1-Phi_2=(-G*(3*10^3*15*10^3)/130)-(-G*(3*10^3*15*10^3)/24)#

#=3*15*10^6*6.67*10^-11(1/24-1/130)#

#=10.2*10^-5J#

.

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