¿A qué altitud una persona pesará la mitad de lo que pesa sobre la superficie de la Tierra?

2639 m

Explanation:

The weight of a person is given by

where

m is the mass of the person

g is the acceleration due to gravity

The acceleration due to gravity is given by

where

G is the gravitational constant

M is the Earth's mass

r is the distance from the Earth's centre

So the weight can be rewritten as

At the Earth's surface,

r = R (Earth's radius), so

(1)

Then we wand to find the altitude at which the weight is half of this value:

This happens at a certain r' such that

(2)

By replacing (1) into (2),

We can rewrite r' as

where h is the altitude of the person. So,

And substituting the value of the Earth's radius,

we find

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg