Respuesta :
Answer:
W=884 N
Explanation:
Hello, I think I can help you with this
the law of universal gravitation predicts that the force exerted between two bodies of masses and separated by a distance is equal to the product of their masses and inversely proportional to the square of the distance, that is:it is given by
[tex]F=G \frac{m_{1} *m_{2} }{r^{2}} \\\\[/tex]
where
G is is the universal gravitation constant.
[tex]G=6.67384 *10^{-11}\frac{Nm^{2} }{kg^{2}} \\[/tex]
m1 and m2 are the masses of the objects
and r is the distance between the objects
Step 1
to solve this you are going to need the mass of the earth, and the radius of the earth(average)
Radius of the earth=6371 km=6371000 m
mass of the earth=[tex]5.972 *10^{24}\ Kg\\[/tex]
Let
m1=90 kg
m2=[tex]5.972 *10^{24}\ Kg\\[/tex]
r=6371 km
[tex]G=6.67384 *10^{-11}\frac{Nm^{2} }{kg^{2}}[/tex]
just put the values in the equation
[tex]F=G \frac{m_{1} *m_{2} }{r^{2}}\\F=6.67384 *10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{90 kg*5.972 *10^{24}\ Kg}{(6371 000m)^{2} }\\F=\frac{3.58*10^{16} N}{4.058*10^{13} } \\F=884 N\\[/tex]
Have a good day.
