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How is it possible to exert force but accomplish no work?
Hold a weight steady in your hand. Push a broken-down car that is stuck in the mud.
Is it possible that a body be in accelarated motion under a force acting on a body yet no work is being done by the force?
Yes, that is possible. For example, an object in circular motion, accelerated towards the center. The force (and the acceleration) is normal (perpendicular) to the movement; thus, the dot product between the force and the displacement is zero.
Why is it that no work is done when the force and the displacement are perpendicular to each other?
When a force and displacement are perpendicular to each other, no work is done because the force is not acting in the same direction as the displacement. Work is defined as the product of force and displacement in the direction of the force, so when they are perpendicular, the force does not contribute to the displacement and no work is done.
What is the maximum displacement for equilibrium?
The maximum displacement for equilibrium occurs when the restoring force is at its maximum, which is equal to the applied force. This displacement is known as the equilibrium position, where the net force acting on the object is zero.
Why a force acting on an object does no work if the object is not in motion?
Work is defined as the product of force and displacement. If an object is not in motion, there is no displacement, thus no work is done by the force acting on the object. Work is only done when a force causes an object to move through a distance in the direction of the force.
How is it possible to exert force but accomplish no work?
Hold a weight steady in your hand. Push a broken-down car that is stuck in the mud.
Is it possible that a body be in accelarated motion under a force acting on a body yet no work is being done by the force?
Yes, that is possible. For example, an object in circular motion, accelerated towards the center. The force (and the acceleration) is normal (perpendicular) to the movement; thus, the dot product between the force and the displacement is zero.
Why is it that no work is done when the force and the displacement are perpendicular to each other?
When a force and displacement are perpendicular to each other, no work is done because the force is not acting in the same direction as the displacement. Work is defined as the product of force and displacement in the direction of the force, so when they are perpendicular, the force does not contribute to the displacement and no work is done.
What is the maximum displacement for equilibrium?
The maximum displacement for equilibrium occurs when the restoring force is at its maximum, which is equal to the applied force. This displacement is known as the equilibrium position, where the net force acting on the object is zero.
Why a force acting on an object does no work if the object is not in motion?
Work is defined as the product of force and displacement. If an object is not in motion, there is no displacement, thus no work is done by the force acting on the object. Work is only done when a force causes an object to move through a distance in the direction of the force.
What does displacement divided by time equal?
Displacement divided by time will give you the motion of an object that has no unbalanced force acting on it
What are the conditions under which a force does no work?
A force does no work when there is no displacement of the object it is acting on, or when the force is perpendicular to the direction of motion. Another condition is when the force applied is zero, since work is the product of force and displacement.
What is the scalar product of the force action on an object and the displacement caused by that force?
Work is the scalar product of the force acting on an object and the displacement caused by that force. In order for work to be done, the object must be moved in the direction of the force.
How force and displacement are directly proportional in SHM?
In simple harmonic motion (SHM), the force acting on an object is directly proportional to the displacement of the object from its equilibrium position. This relationship is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. As the object is displaced further from equilibrium, the force acting on it increases proportionally.
How is it possible to apply force to something but do no work?
Work is calculated as force multiplied by the distance the force is applied over. If the force is applied but the object does not move, no work is done because there is no displacement. So, it is possible to apply force without doing work if there is no movement of the object.
Is it possible for the net force acting on an object to be negative?
Yes, it is possible for the net force acting on an object to be negative. This means that the forces acting on the object are in opposite directions, resulting in a net force that is negative.
Cases when there is displacement but no force is applied?
When an object gets displaced in the absence of force acting on it, it must have already been moving? In the past a force acted on it and now the force is no longer acting on it. Like pushing on a toy car and letting go. The car continues to roll after you let go.
