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on the strange planet, zorgg, you weigh 1283 n. what will you weigh on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger?

Sagot :

The weight on the even stranger planet, quoozeptinaletina, that is 226 times more massive than zorgg and has a radius 17.1 times larger will be

991.759N

What is weight (in physics)?

In science and engineering, the weight of an object is the same as the force that acts on the object because of the gravity. Some books define weight as a vector quantity, some as the gravitational force acting on the object, and others define as a scalar quantity, the magnitude of the gravitational force.

How to calculate the weight of the body at planet quoozeptinaletina?

Weight -> F = m*g

m = mass of object (constant for non relativistic speed)

g = Gm / R^2

where

m = mass of planet

R = radius of planet

G = gravitational constant

at Zorgg planet, Fz = 1283N = m*g z, gz = G*Mz / Rz^2

at Quoozeptinaletina,

Rq = 17.1Rz

Mq = 226Mz

Fq = m*gq

gq = G * Mq / Rq^2

226GMz / 17.1^2 Rz^2

gq = 226 / 17.1^2 gz

Fq = 226 / 17.1^2 Fz

= 0.773Fz

= 0.773 * 1283N

= 991.759N

Therefore, your weight at planet quoozeptinaletina is 991.759N

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