The statement "an object cannot remain at rest unless which of the following holds?" refers to Newton's First Law of Motion, also known as the law of inertia. This law states that an object at rest will remain at rest, and an object in motion will continue to move with a constant velocity, unless acted upon by an external force.
In simpler terms, this means that objects tend to maintain their state of motion or rest unless something else interferes with them. For example, if you push a book across a table, it will continue moving until friction or some other force stops it.
To understand why this law holds true, it is important to first understand the concept of inertia. Inertia is the tendency of an object to resist changes in its state of motion. The greater the mass of an object, the greater its inertia, and the more force that is required to change its motion.
Now, let's consider an object at rest. Since it is not moving, it has zero velocity, and according to Newton's First Law, it will remain at rest unless acted upon by an external force. This is because there are no forces acting on the object to change its state of motion. Therefore, the object's inertia keeps it at rest.
On the other hand, if an object is already in motion, it will continue moving with a constant velocity, unless acted upon by an external force. This is because the object's inertia keeps it moving in a straight line at a constant speed. If a force is applied to the object in the direction of its motion, the object's velocity will increase. If a force is applied in the opposite direction, the object's velocity will decrease, and it may eventually come to a stop.
In conclusion, Newton's First Law of Motion is a fundamental principle that explains why objects tend to maintain their state of motion or rest. It is based on the concept of inertia, which is the tendency of an object to resist changes in its state of motion. An object at rest will remain at rest, and an object in motion will continue to move with a constant velocity, unless acted upon by an external force. This law is essential for understanding the behavior of objects in motion and is the basis for many of the laws of physics that we use today.
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