what force can cause the displacement of an object but does no work??
The force that can cause the displacement of an object without doing any work is a perpendicular force. When a force acts on an object at an angle of 90 degrees (perpendicular) to the direction of the displacement, no work is done. This is because work is defined as the force applied to an object multiplied by the distance it moves in the direction of that force. Since the force and the displacement are perpendicular, there is no component of the force acting in the direction of the displacement, resulting in zero work being done.
To better understand this concept, you can use the formula for calculating work:
Work = Force × Distance × cos(θ)
Where:
- Work is the amount of energy transferred to or from an object.
- Force is the magnitude of the applied force.
- Distance is the magnitude of the displacement.
- θ (theta) is the angle between the force vector and the displacement vector.
In the case of a perpendicular force (θ = 90 degrees), cos(90) is equal to zero. Therefore, the work done on the object is zero.
So, if you want to find a force that can cause the displacement of an object without doing any work, you should apply a force perpendicular to the direction of motion.