The weight V of an object on Venus varies directly with its weight E on Earth. A person weighing 120 lb on Earth would weigh 106 lb on Venus. How much would a person weighing 150 lb on Earth weigh on Venus?

Respuesta :

mumsy
we have
120lbs Earth................................106lbs Venus
150lbs Earth...................................?Venus

Venus weight=150*106/120=132.50 lbs

Answer:

The person weighing 150 lb on Earth will weight 132.5 lb on Venus.

Step-by-step explanation:

The weight of object on Venus varies directly with its weight on the Earth.

[tex]w_v\propto w_e[/tex]..(1)

[tex]\frac{w_v}{w_e}=k=constant[/tex]

[tex]w_v[/tex]= Weight on Venus

[tex]w_e[/tex]= Weight on Earth

If the weight of person on Earth =[tex]w_e=120 lb[/tex]

If the weight of that person on Venus=[tex]w_v=106 lb[/tex]

And,the weight of another person on Earth =[tex]w_e'=150 lb[/tex]

The weight of another person on Venus=[tex]w_v'=?[/tex]

[tex]\frac{w_v}{w_e}=\frac{w_v'}{w_e'}[/tex] (From 1)

[tex]w_v'=\frac{w_v\times w_e'}{w_e}=\frac{106 lb\times 150 lb}{120 lb}[/tex]

[tex]w_v'=132.5 lb[/tex]

The person weighing 150 lb on Earth will weight 132.5 lb on Venus.

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