Your mass, the mass of the Earth, and the distance between you and the earth's center determine the gravitational force exerted on you by the Earth (i.e. your weight).
The weight of the masses provides the force necessary to keep the masses moving in a circular path, which is the centripetal force. This is due to the tension in the string providing the centripetal force required for circular motion, balancing out the weight of the masses. Thus, one can consider the weight of the hooked masses as equal to the centripetal force in this setup.
The gravitational force between the masses would increase by a factor of 4. This is because the gravitational force is inversely proportional to the square of the distance between the masses, so reducing the distance by half would increase the force by a factor of (1/0.5)^2 = 4.
Gravity is the cause of forces that attract every pair of masses toward each other. If one of the masses is the Earth and the other one is you, then you call the force your "weight".
There's no such thing as the gravity of a single object. Gravity is always a partnership between two objects. The forces of gravity between two objects depend on the masses of both of them, and the distance between them. And I did say "forces", because there are always two of them ... one force pulling each object toward the other one, and the two forces are always equal. The force on you that pulls you toward the center of the Earth is your weight on the Earth. There's also a force on the planet that pulls it toward the center of you. That force is the Earth's weight on you. And the two of them are exactly equal.
The force of gravity on the hooked masses supplies the tension in the string which in turn supplies the centripetal force that keeps the body rotating.It would be better to say that the weight of the hanging masses IS the centripetal force that keeps the body revolving.... and so the two forces are equal because there is really on one force.
Gravity is the cause of the pair of equal forces that attract every pair of masses toward each other. We call the size of that force the 'weight' of each object in the presence of the other one. It depends on both of their masses, and on the distance between their centers.
The effect of gravity on matter is measured by its mass and distance from other objects. Gravity causes matter to be attracted to each other, creating phenomena such as gravitational waves and orbits. The strength of gravity between two objects is determined by the product of their masses and inversely proportional to the square of their distance.
The weight of the masses provides the force necessary to keep the masses moving in a circular path, which is the centripetal force. This is due to the tension in the string providing the centripetal force required for circular motion, balancing out the weight of the masses. Thus, one can consider the weight of the hooked masses as equal to the centripetal force in this setup.
Either if you decrease the distance, or if you increase one or the other of the masses.
The gravitational force between the masses would increase by a factor of 4. This is because the gravitational force is inversely proportional to the square of the distance between the masses, so reducing the distance by half would increase the force by a factor of (1/0.5)^2 = 4.
Mass is the amount of "stuff" in an object or a region of space. Weight is the gravitational force between two masses. When you're talking about weight, the earth is usually one of the masses. Your mass never changes, regardless of where you are. Your weight does change, depending on what the other mass is.
Gravity is the cause of forces that attract every pair of masses toward each other. If one of the masses is the Earth and the other one is you, then you call the force your "weight".
First of all, you should try to get past the notion that one object exerts a gravitational effect on the other one. In fact, the effects are mutual ... the gravitational forces between two objects are exactly equal in both directions. Your weight on the Earth is exactly the same as the Earth's weight on you. The strength of the gravitational forces between two objects is determined by -- the product of the two masses, and -- the distance between the centers of the two masses.
you dont. One is a weight, one a distance
There's no such thing as the gravity of a single object. Gravity is always a partnership between two objects. The forces of gravity between two objects depend on the masses of both of them, and the distance between them. And I did say "forces", because there are always two of them ... one force pulling each object toward the other one, and the two forces are always equal. The force on you that pulls you toward the center of the Earth is your weight on the Earth. There's also a force on the planet that pulls it toward the center of you. That force is the Earth's weight on you. And the two of them are exactly equal.
0-One is weight/One is distance.
The force of gravity on the hooked masses supplies the tension in the string which in turn supplies the centripetal force that keeps the body rotating.It would be better to say that the weight of the hanging masses IS the centripetal force that keeps the body revolving.... and so the two forces are equal because there is really on one force.