A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon. (Please show work)

Respuesta :

Weight is the mass of the object * the acceleration due to gravity, so if the gravity changes the weight changes.
Thus, you want to put the situational data on their own, so the ratios you want to set up is:
[tex] \frac{M \ weight1}{M \ weight2} = \frac{E \ weight1}{E \ weight2}\\ \frac{32lb}{15lb}=\frac{200lb}{x}\\ 32*x=200lb*15lb\\ x=93.75lb[/tex]
So a person that weighs 15 pounds on the moon weighs 93.75 pounds on Earth.
W/200=15/32
CROSS MULTIPLY 
32W=200*15
W=3000/32
W=93.75LB