As the distance between an object and the center of the earth is increased
a. the object's mass decreases and its weight remains the same
b. both the object's mass and its weight remain the same
c. both the object's mass and its weight decreases
d. the object's mass remains the same and its weight decreases

d.

Explanation:

As the distance between an object and the center of the Earth is increased

the mass of the object stays the same but the weight decreases

recall from newtons law of Gravitation.

Newton's law of universal gravitation is usually stated that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

F = Gm1m2/r^2

mathematically, as the distance r increases , the force of attraction decreases, which is equal to the weight

weight is the product of force and acceleration due to gravity. acceleration due to gravity varies with location on the earth and in space.

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