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An object of mass m is dropped from height h above a planet of mass M and radius R?
Wiki User
∙ 12y ago
You can use V^2=V_0^2+2a(delta(y))
we know that V_0 = 0, delta(y)=h and a=GM/R^2
substituting we get V^2=2GMh/R^2
so V=sqrt(2GMh/R^2)
You can also do this using the gravitational definition of potential energy
If GMm/R^2=force of gravity then we know the integral of this is equal its potential energy.
so PE= -GMm/R evaluated from r to r+h setting this equal to kinetic energy (1/2*mv^2) and evaluating our integral we get
v=sqrt[2GM(1/R-1/(R+h))]
Wiki User
∙ 12y ago
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An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N The radius of the planet is 4000000 m What free fall acceleration will the 0.5kg OJ?
18 m/s
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