Asked by Anonymous
A student of weight 810 N was sent to another planet called Nerdland. If Nerdland has a mass that is 4 X the mass of the earth and a radius that is 1/2 the radius of the earth, what would be the mass in kg of the student when on Nerdland? what would be the weight in N of the student when on Nerdland?
Answers
Answered by
Damon
mstudent = 810/9.81 = 82.6 kg
THE MASS, m in kg, DOES NOT CHANGE WITH g, ONLY THE WEIGHT
F = G * Mplanet* mstudent /r^2
on earth
810 = G Mearth * mstudent /rearth^2
on Nerdland
F = G Mnerd *82.6 / rnerd^2
so
F = G (4 Mearth) * 82.6 / (.25 rearth^2)
F = 16 G Mearth * 82.6 /rearth^2
or
16 * 810 = 12,960 Newtons
THE MASS, m in kg, DOES NOT CHANGE WITH g, ONLY THE WEIGHT
F = G * Mplanet* mstudent /r^2
on earth
810 = G Mearth * mstudent /rearth^2
on Nerdland
F = G Mnerd *82.6 / rnerd^2
so
F = G (4 Mearth) * 82.6 / (.25 rearth^2)
F = 16 G Mearth * 82.6 /rearth^2
or
16 * 810 = 12,960 Newtons
Answered by
Damon
or in other words
half the radius -->4 g
then 4 times the earth mass --> another 4 times g
half the radius -->4 g
then 4 times the earth mass --> another 4 times g
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