Answer:
Jim had a weigh 165 lbf on Earth.
Step-by-step explanation:
Weight:
The product of mass and acceleration due to gravity.
weight= mass× g
Mass: The amount of material in an object is known as mass of the object.
Mass does not depends on g. Mass of an object remains same.
Given that,
Jim had a weight of 27.5 lbf on the moon.
So,
[tex]mg_m=27 \ lbf[/tex] .......(1)
m = mass of Jim
[tex]g_m[/tex]= acceleration due to gravity on the moon.
Again,
The value of force of gravity on the Moon is one sixth of that on Earth.
[tex]g_m=\frac16 g[/tex]
g = force of gravity on Earth.
Now plug [tex]g_m=\frac16 g[/tex] in equation (1)
[tex]m\times\frac16 g =27 \ lbf[/tex]
[tex]\Rightarrow mg=(27\times 6) \ lbf[/tex]
⇒mg = 165 lbf
Jim had a weigh 165 lbf on Earth.