Weight of a body under a deep mine, at sea level and at the top of a mountain are W1 W2
and W3 respectively. Then
a) W1 <W2>W3
(B) W1< W2<W3
(C) w1> W2> W3
(D) W1= W2 =W3
Answers
I assume that W2 is at sea level, and W3 is at the top of the mountain. An object’s weight is equal to the force that the earth exerts on the object. This force is called the Universal gravitational force.
Fg = G * M * m ÷ d^2
G is the gravitational constant. M is the mass of the earth. m is the object’s mass. d is the distance from the center of the earth to the object. In this equation, the force is inversely proportional to the square of the distance from the center of the earth to the object. This means the force is greatest when the distance from the center of the earth to the object is the least. If we assume that the coal mine is below sea level, the force is greatest inside the coal mine, and decreases at the object moves upward. In order from greatest to least, the order is W1, W2, and W3. If the coal mine is above sea level, the order from greatest to least, the order is 2, W2, W1, and W3. One of these must be correct.