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Physics Question by blendz4real(m): 9:39pm On Aug 01, 2019
Some one pls help answer urgently!

The radius of the planet Venus is nearly thesame as that of the earth but it's mass is only 80% that of the earth. If an object weighs 0.8 on the earth what does it weigh on Venus?
Calculate the value of g on venus.

Thanks
Re: Physics Question by Nobody: 5:19pm On Aug 03, 2019
I hope you can understand it

Re: Physics Question by Nobody: 5:22pm On Aug 03, 2019
Concluding solution

Re: Physics Question by Martinez39(m): 8:50pm On Aug 03, 2019
blendz4real:
Some one pls help answer urgently!

The radius of the planet Venus is nearly thesame as that of the earth but it's mass is only 80% that of the earth. If an object weighs 0.8 on the earth what does it weigh on Venus?
Calculate the value of g on venus.

Thanks
Since the radius of Venus, Rv , and the radius of Earth, Re , are nearly the same(ie. approximately equal) and no further information is given on their relative sizes, we assume that
Rv = Re = R

By Newton's law of gravitation, we have the following
On a planet of mass, M , and radius, r , the weight, W, of an object of mass, m , is given by
W = (GMm)/r² = mg
Where:
g = the acceleration due to gravity on the planet, and
G = the gravitational constant

From the question, the mass of Venus, Mv , and the mass of Earth, Me are given by
Mv = (4/5)Me

The weights of the object on Venus and Earth,Wv & We = 0.8 respectively, are given by
Wv = (GMvm)/R² = [(4/5)(GMem)]/R² = mgv ———(1)
We = (GMem)/R² = mge ———(2)

ge = 9.8 m/s²
gv =?

Equations (1) & (2) can be rewritten as follows
(5/4)Wv = We = (GMem)/R²

——and——

m = Wv/gv = We/ge

(5/4)Wv = 0.8

Wv = (4/5) × 0.8 = 0.64

0.8/9.8 = 0.64/gv
gv = (0.64 × 9.8 )/0.8 = 7.84 m/s²

1 Like

Re: Physics Question by Nobody: 9:14pm On Aug 03, 2019
..
Re: Physics Question by blendz4real(m): 9:11pm On Aug 08, 2019
gensteejay:
Concluding solution

Thanks for your input.
Re: Physics Question by blendz4real(m): 9:12pm On Aug 08, 2019
Martinez39:
Since the radius of Venus, Rv , and the radius of Earth, Re , are nearly the same(ie. approximately equal) and no further information is given on their relative sizes, we assume that


By Newton's law of gravitation, we have the following


From the question, the mass of Venus, Mv , and the mass of Earth, Me are given by


The weights of the object on Venus and Earth,Wv & We = 0.8 respectively, are given by


Equations (1) & (2) can be rewritten as follows


(5/4)Wv = 0.8[/i] [/font]
Wv = (4/5) × 0.8 = 0.64

0.8/9.8 = 0.64/gv
gv = (0.64 × 9.8 )/0.8 = 7.84 m/s²

Thanks alot.... I appreciate

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