Question

find and explain a way to change the weight of an object keeping its mass unchanged​

Answer 1

Answer:

Okay we know that weight of an object = mg (Mass of the object x Acceleration due to gravity)

Okay now we know that accleration due to gravity (g) is given by:

g= GM/(R^2) (Let this be the first equation)

Where G is the gravitational constant

M is the mass of the Planet

R is the radius of the planet

Now changing the first equation we get

g= 4GM/(D^2)

where D is the diameter of the planet (R=D/2)

Now applying the conditions given in the question

Df (final diameter) = 2D

So g would be given as

g(f)= 4GM/(4D^2) (here gf is the final accleration due to gravity)

g(f)= GM/D^2

so comparing g(f) and g, we can clearly see that… g= 4 g(f)

so g(f)= g/4

That is we can say that the wight of the object would be 1/4 (one-fourth of its initial value)