Final answer:
An object can have different weights at different times if it moves between locations with different gravitational fields, like Earth, space, and the moon. This is because weight depends on gravity and the mass of the object.
Step-by-step explanation:
The object having different weights at different times is possible with the statement: The object started on Earth, was transported to space, and was deposited on the moon. This is because weight is defined as the force exerted on an object due to gravity. Therefore, an object's weight changes depending on the gravitational field it is in.
For example, the object would weigh more on Earth due to its strong gravitational field. In the space, the object is in a microgravity environment, so its weight would be nearly zero. On the moon, the gravity is approximately 1/6th of Earth's gravity, so the object would weigh less than it does on Earth.
In the other statements, an object doesn't gain or lose matter casually, changing shape doesn't influence weight, and going up and down a hill doesn't significantly change the gravitational force acting on it.
Learn more about Gravity and Weight