Question

of the same mass has three different weights at different times. which statement is possible?
the object gains matter and then loses it.
the object started on earth, was transported to space, and was deposited on the moon.
the object started at the bottom of a hill, then moved to the top of the hill, and then moved back down to the bo
the hill.
the object changes shape, which changes its weight.

Explanation:

Weight is the force exerted on an object due to gravity. Mass is the amount of matter in an object.

• Option 1: If the object gains and then loses matter, its mass changes. But the question states "the same mass", so this is incorrect.
• Option 2: Gravity varies in different locations. Earth has a certain gravitational acceleration (\(g_{Earth}\approx9.8\ m/s^{2}\)), space has near - zero gravity (\(g_{space}\approx0\)), and the moon has a gravitational acceleration (\(g_{Moon}\approx1.62\ m/s^{2}\)). Using the formula \(W = mg\) (where \(W\) is weight, \(m\) is mass, and \(g\) is gravitational acceleration), for the same mass \(m\), \(W\) will be different in these locations.
• Option 3: Moving up and down a hill on Earth. The gravitational acceleration \(g\) on Earth (neglecting very small changes with altitude) is approximately constant. Using \(W=mg\), if \(m\) and \(g\) are constant, \(W\) is constant.
• Option 4: Changing shape does not change the amount of matter (\(m\)) or the gravitational acceleration (\(g\)) acting on the object. Using \(W = mg\), weight \(W\) remains the same.

Answer:

The object started on Earth, was transported to space, and was deposited on the moon.