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At what times is the object at rest?


Motion and rest are fundamental concepts in physics. An object is said to be in motion if it is changing its position with time. Conversely, an object is said to be at rest if it is not changing its position with time. In this post, we will explore the times when an object is at rest.

Definition of Rest

Before we delve deeper into the topic of when an object is at rest, it is important to define what rest means in physics. In physics, an object is said to be at rest when its velocity is zero. Velocity is a vector quantity that describes the rate at which an object changes its position with time.

Whenever an object changes its position, its velocity changes as well. Velocity is calculated as the displacement of the object divided by the time taken. Displacement is the change in position, and it is a vector quantity. When an object is at rest, there is no change in its position, and therefore its displacement is zero. As a result, the velocity of the object is zero.

An Object at Rest on a Flat Surface

One common scenario where an object is at rest is when it is placed on a flat surface. When an object is placed on a horizontal surface, the force of gravity pulls it down towards the center of the earth. This force is called the weight of the object, and it is equal to the mass of the object multiplied by the acceleration due to gravity.

The force of gravity acts in the downward direction, and it is balanced by the normal force exerted by the surface in the upward direction. The normal force is equal in magnitude to the weight of the object, and it acts perpendicular to the surface. When these two forces are equal and opposite, the net force on the object is zero.

Since there is no net force acting on the object, it remains at rest. This is known as static equilibrium. Static equilibrium occurs when an object is at rest and is balanced by the forces acting on it.

An Object at Rest on an Inclined Plane

Another scenario where an object can be at rest is when it is placed on an inclined plane. An inclined plane is a slanted surface, and it can be at different angles with respect to the horizontal.

When an object is placed on an inclined plane, the force of gravity pulls it downwards, parallel to the surface. This force is resolved into two components: one perpendicular to the surface, and the other parallel to the surface. The component perpendicular to the surface is balanced by the normal force exerted by the surface, as in the case of a flat surface. The component parallel to the surface is not balanced by any force, and it causes the object to slide down the inclined plane.

However, if the angle of inclination is such that the parallel component of the weight is balanced by the force of static friction, the object will remain at rest. The force of static friction acts in the opposite direction to the motion of the object, and it is equal in magnitude to the parallel component of the weight.

When the object is on the verge of sliding down the inclined plane, the force of static friction is at its maximum value. This is known as the limiting friction. For any angle of inclination less than the angle at which the limiting friction is reached, the object will remain at rest on the inclined plane.

An Object at Rest in Free Space

In free space, there are no surfaces or other objects to exert forces on an object. However, the force of gravity still acts on the object, pulling it towards the center of the earth.

If the object is not in contact with any other object, and there are no other forces acting on it, it will continue to be at rest. This is known as translational equilibrium. Translational equilibrium occurs when the net force on an object is zero, and it remains at rest.

Conclusion

In conclusion, an object is at rest when its velocity is zero. There are different scenarios where an object can be at rest, such as when it is placed on a flat surface, an inclined plane, or in free space. Understanding the concept of rest is crucial in physics, as it is a fundamental concept that underpins many other concepts such as force, motion, and equilibrium.

FAQ

What is an object at rest considered?


An object at rest is considered to be one that is not moving and is in a state of inertia. In other words, the object is stationary and remains so unless an external force is applied to it. When an object is at rest, it has a uniform speed of zero all the time, and it does not even change direction.

The concept of an object at rest is essential in the study of physics because it helps in understanding how objects behave when no external forces are applied to them. In physics, the term ‘rest’ implies that the object is in a state of equilibrium, and there is no net force acting upon it.

Moreover, when an object is at rest, its velocity is zero, and it is considered to be uniform. Velocity is defined as the rate of change of an object’s position with respect to time. The uniformity of the velocity of an object at rest means that the object is not accelerating, i.e., there is no change in its velocity over time.

It is remarkable to note that an object at rest still possesses energy in the form of potential energy because of its position or state of composition. For instance, a ball held above the ground has potential energy due to its position concerning the Earth’s gravitational field. When released, the potential energy is converted into kinetic energy, and the ball moves as per the principles of motion.

Finally, an object at rest is considered to be a fundamental concept in physics. It helps us understand how objects behave when there are no external forces acting on them and is a fundamental principle when analyzing the motion of objects.

When an object at rest remains at rest?

According to Newton’s first law of motion, an object at rest will remain at rest unless acted upon by an external, unbalanced force. This means that if an object is stationary and no forces are applied to it, it will stay motionless indefinitely.

The principle behind this law is the concept of inertia, which is a tendency for an object to persist in its state of motion or rest. Inertia arises from the object’s mass, which resists changes in velocity. The greater an object’s mass, the greater the force required to accelerate it.

For instance, imagine a heavy box sitting on a flat surface. If no force is applied, the box will not move due to its inertia. However, if a force is applied to the box – say, someone pushes it with their hand – it will start to move. The box will continue moving until a force of equal magnitude and opposite direction stops it (such as if it hits a wall or someone catches it).

It’s important to note that while an object at rest will remain at rest without an external force, it may still experience internal forces. For example, if a book is lying on a table, gravity is still acting on it and pulling it towards the earth. However, since the table exerts an equal and opposite force on the book, it remains still.

An object at rest will continue to be at rest unless acted upon by an external force. This is due to the principle of inertia, which causes objects to resist changes in motion or rest.

What is Newton’s 3rd law called?


Newton’s third law is one of three fundamental laws of motion developed by Sir Isaac Newton in the 17th century. This law states that for every action, there is an equal and opposite reaction. In simple terms, this means that any force exerted by one object on another will result in an equal force acting in the opposite direction on the first object.

For example, consider a book resting on a table. The force of gravity pulling the book downward creates an equal and opposite force from the table upward, allowing the book to stay in place. Similarly, when a rocket expels gas out its backside to create thrust and propel forward, the gas exerts an equal and opposite force in the opposite direction, pushing the rocket forward.

This law is important in understanding many physical phenomena, including collisions, the behavior of fluids, and the functioning of everyday objects like cars and bicycles. It also plays a role in the understanding of the behavior of the universe as a whole, from the movements of planets to the behavior of galaxies.

Newton’s third law is also commonly referred to as the law of action and reaction. This law is essential to the study of physics and underlies many technological advancements that we rely on today, from automobiles and airplanes to space travel and modern medicine.