Respuesta :
If an object is launched at escape velocity, its total mechanical energy at infinite distance is zero.
In fact, the escape velocity is the minimum speed the object should have to escape the gravitational field: this means that when the object approaches infinite, its kinetic energy is the minimum possible, so zero (if it was greater than zero, than it means that the object was launched at larger speed than its escape velocity).
At the same time, the gravitational potential energy of the object at infinite is zero (because hte gravitational potential is taken to be zero at infinite), so the total mechanical energy of the object, which is the sum of kinetic and potential energy, is zero as well.
In fact, the escape velocity is the minimum speed the object should have to escape the gravitational field: this means that when the object approaches infinite, its kinetic energy is the minimum possible, so zero (if it was greater than zero, than it means that the object was launched at larger speed than its escape velocity).
At the same time, the gravitational potential energy of the object at infinite is zero (because hte gravitational potential is taken to be zero at infinite), so the total mechanical energy of the object, which is the sum of kinetic and potential energy, is zero as well.
The total mechanical energy of the object at a very large (i.e., infinite) distance from the planet will be zero.
What is escape velocity?
Escape velocity or escape speed is the minimum speed required for a free, non-propelled object to escape from the gravitational pull of the main body and reach an infinite distance from it in celestial physics.
In reality, the escape velocity is the smallest speed at which an item can leave the gravitational field: this means that when the object approaches infinity, Its kinetic energy is the smallest
The object was launched at a larger speed than its escape velocity. At the same time, because the gravitational potential energy of the item is zero at infinite.
Because the gravitational potential is assumed to be zero at infinite, The object's total mechanical energy, which is the sum of kinetic and potential energy, is also zero.
Hence the total mechanical energy of the object at a very large (i.e., infinite) distance from the planet will be zero.
To learn more about the escape velocity refer to the link;
https://brainly.com/question/14297933
