When distance is kept constant but the force changes, the work done will depend on the magnitude and direction of the force applied. If the force increases, more work is done, and if the force decreases, less work is done. The relationship between force and work done is directly proportional when distance is constant.
If force is kept constant and torque is doubled, it means the distance from the point where the force is applied to the axis of rotation has been doubled. If torque is halved, the distance has been halved. Torque is the product of force and distance, so changing the distance changes the torque.
The force of gravity is not constant because it depends on the masses of the objects and the distance between them. According to Newton's law of universal gravitation, the force of gravity between two objects decreases with increasing distance between them and increases with increasing mass of the objects. Thus, the force of gravity varies depending on the specific objects and their positions relative to each other.
As the distance between two charged objects decreases, the gravitational force remains constant since it is not dependent on distance. However, the electric force between the objects increases because it is inversely proportional to the square of the distance between them according to Coulomb's Law.
It remains constant
If a machine increases the size of the force applied, the distance moved by the object will also increase, provided that the work done remains constant. This is in line with the work-energy principle, which states that work done is equal to the force applied multiplied by the distance traveled in the direction of the force.
If force is kept constant and torque is doubled, it means the distance from the point where the force is applied to the axis of rotation has been doubled. If torque is halved, the distance has been halved. Torque is the product of force and distance, so changing the distance changes the torque.
It remains constant
Gravitational force is not something that changes, it is a constant. The Earth's gravitational force is roughly 9.8 meters per second squared.
The force of gravity is not constant because it depends on the masses of the objects and the distance between them. According to Newton's law of universal gravitation, the force of gravity between two objects decreases with increasing distance between them and increases with increasing mass of the objects. Thus, the force of gravity varies depending on the specific objects and their positions relative to each other.
The simple answer to work done on an object is Force * distance. This only works if there was a constant force acting on the object. If the force changes, then you need to integrate the force function F(x)*dx, where x is the distance, and F(x) is the function that gives the force at position x.
The force changes in the direction opposite to the change in distance. More distance ==> less force, and less distance ==> more force. That's why the gravitational force between the sun and you is small, even though the sun has a lot more mass than the earth has.
The gravitational force that the Sun exerts on Mercury is not constant because the distance between the two objects changes as Mercury orbits around the Sun. According to Newton's law of universal gravitation, gravitational force decreases with distance. As Mercury moves closer or farther from the Sun in its elliptical orbit, the gravitational force it experiences changes accordingly.
As the distance between two charged objects decreases, the gravitational force remains constant since it is not dependent on distance. However, the electric force between the objects increases because it is inversely proportional to the square of the distance between them according to Coulomb's Law.
It remains constant
If a machine increases the size of the force applied, the distance moved by the object will also increase, provided that the work done remains constant. This is in line with the work-energy principle, which states that work done is equal to the force applied multiplied by the distance traveled in the direction of the force.
Assuming that force and distance are in the same direction, and the force is constant, you multiply the force times the distance over which the force acts. If they are not in the same direction, you take the dot product. If the force is not constant, you use an integral.
The definition of "Work" is typically force times distance. It it's a non-constant force, it can also be a force integrated over a distance (Calculus) .