Respuesta :
If you lift twice the load twice as high, in half the time then, the increase in potential energy is 4 times that of initial potential energy.
To find the answer, we need to know more about the gravitational potential energy.
What to find the potential energy?
- The form of mechanical energy possessed by a body by virtue of its position is called the potential energy.
- If the body is under the influence of gravitational field, then the energy possessed by the body is called gravitational potential energy.
- Given that,
[tex]m'=2m\\h'=2h[/tex] where, m' and h' are the final mass and height.
- We have the expression for potential energy as,
[tex]U=mgh\\[/tex] , let us take this as the initial energy.
- Then the final energy will be,
[tex]U'=m'gh'=2m*g*2h=4mgh.\\U'=4U[/tex]
Thus, we can conclude that, the final potential energy is 4 times the initial.
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The final potential energy will be 4 times that of the initial, if we are twice the height and load.
To find the answer, we need to study about the gravitational potential energy.
Where can one find potential energy?
- Potential energy is the type of mechanical energy that a body possesses as a result of its position.
- The energy a body possesses is known as gravitational potential energy if it is being affected by a gravitational field.
- Due to that,
[tex]m_f=2m\\h_f=2h[/tex]
where the final mass and height are denoted by mf and hf.
- The phrase we use to describe potential energy is,
[tex]U_i=mgh[/tex]
let's consider this to be the initial energy.
- The final energy will then be,
[tex]U_f=2m*2h*g=4mgh=4U_i[/tex]
As a result, we may say that the final potential energy is four times more than the original.
Learn more about gravitational potential energy here:
https://brainly.com/question/13124883
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