Respuesta :
Answer: The weight of the person above the surface of a planet is 635.83N.
Explanation:
To calculate the weight of a person, we use the formula:
[tex]w=mg[/tex] ....(1)
where,
w = weight of an object
m = mass of the person = 65kg
g = acceleration due to the gravity of the planet
For the calculation of weight, we need to first find the acceleration due to gravity and for that we use the formula:
[tex]g=\frac{GM}{r^2}[/tex]
where, g = acceleration due to gravity = [tex]?m/s^2[/tex]
G = Universal gravitational constant = [tex]6.67\times 10^{-11}Nm^2/kg^2[/tex]
M = mass of the planet = [tex]5.97\times 10^{24}kg[/tex]
r = distance of the person from the planet = [tex]6.38\times 10^6m[/tex]
Putting values in above equation, we get:
[tex]g=\frac{(6.67\times 10^{-11}kgm/s^2.m^2/kg^2)(5.97\times 10^{24}kg)}{(6.38\times 10^6m)^2}\\\\g=9.782m/s^2[/tex]
Putting this value in equation 1, we get:
[tex]w=65kg\times 9.782m/s^2=635.83N[/tex]
Hence, the weight of the person above the surface of a planet is 635.83N.
