i need help with this online problem HW
On the strange planet, Zorgg, you weigh 1091 N. What will you weigh on the even stranger planet, Quoozeptinaletina, that is 205 times more massive than Zorgg and has a radius 14.2 times larger?
On the strange planet, Zorgg, you weigh 1091 N. What will you weigh on the even stranger planet, Quoozeptinaletina, that is 205 times more massive than Zorgg and has a radius 14.2 times larger?
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Hello Apolo, recall the expression for g as GM/R^2
G universal gravitational constant = 6.67 x 10^-11 N m^2 kg^-2
M is the mass of the planet and R its radius.
Now let Rz and Mz be the radius and mass of Zorgg and let Rq and Mq respectively for Quooz.
Hence g for Zorgg, G Mz / Rz ^2
and g for Quooz is G Mq / Rq ^2
Hence g for Quooz/ g for Zorgg = (Mq/Mz)*(Rz/Rq)^2
So ratio = 205*/(14.2)^2 = 1.017
Now mass of mine would remain the same in both the planet but only due to variation of g, weight changes.
Hence 1091 N would be increased as 1.017*1091 = 1109.54 N
So I weigh on the even strange planet to be as 1109.54 N
G universal gravitational constant = 6.67 x 10^-11 N m^2 kg^-2
M is the mass of the planet and R its radius.
Now let Rz and Mz be the radius and mass of Zorgg and let Rq and Mq respectively for Quooz.
Hence g for Zorgg, G Mz / Rz ^2
and g for Quooz is G Mq / Rq ^2
Hence g for Quooz/ g for Zorgg = (Mq/Mz)*(Rz/Rq)^2
So ratio = 205*/(14.2)^2 = 1.017
Now mass of mine would remain the same in both the planet but only due to variation of g, weight changes.
Hence 1091 N would be increased as 1.017*1091 = 1109.54 N
So I weigh on the even strange planet to be as 1109.54 N