Table of Contents
- 1 Can objects with the same mass have different potential energy?
- 2 Can an object lying at a position have different potential energy?
- 3 Can two objects have the same momentum but different kinetic energies?
- 4 What is the relationship between the mass of an object and its gravitational potential energy?
- 5 Can objects get energy from other objects?
Can objects with the same mass have different potential energy?
No. Two identical objects place at the same height will have the same potential energy. It is the objects, not the gravity that has the potential energy.
Does everything have the same potential energy?
No. Only systems of objects which interact with forces which do path-independent work have potential energy. If your system is simply a book it doesn’t have gravitational potential energy (taking a guess at what you’re thinking.)
Can an object lying at a position have different potential energy?
The actual potential energy of an object depends on its position relative to other objects. For example, a brick has more potential energy suspended off of a two-story building than it does resting on the ground. That’s because the brick’s relative position to the Earth gives it more energy.
How can two objects with different masses have the same kinetic energy?
Two objects have different masses but the same kinetic energies. Kinetic energy is 1/2 mv2 which is like ½ x momentum x velocity. Since they have the same momentum, the object with the larger velocity has a larger kinetic energy – that’s the object with the small mass.
Can two objects have the same momentum but different kinetic energies?
No. Momentum is simply mass times velocity. But kinetic energy is one-half the mass times the square of the velocity, so it’s much more dependent on the velocity than on the mass.
What is the relation between gravitational potential energy and mass?
It is a direct proportionality. Greater the mass, greater is the gravitational potential energy. The equation for GPE is : GPE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height above the ground. As you can see GPE is directly proportional to mass, and height.
What is the relationship between the mass of an object and its gravitational potential energy?
PEgrav = m *• g • h In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) – sometimes referred to as the acceleration of gravity.
How does potential energy relate with position of an object?
Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy. A tripling of the height will result in a tripling of the gravitational potential energy.
Can objects get energy from other objects?
Kinetic and potential energies are found in all objects. If an object is moving, it is said to have kinetic energy (KE). Potential energy (PE) is energy that is “stored” because of the position and/or arrangement of the object. And in falling, can exert forces and do work on other objects.
Can two objects with different masses have the same momentum?
Therefore, object A will also have more kinetic energy. Two objects of varying mass have the same momentum. The least massive of the two objects will have the greatest kinetic energy.