Q: How high do you have to lift a 5kg box to give it 98 Jof GPE?

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Gravitational Potential Energy

mass is greater

GPE

Gravitational potential energy (gpe). Gravity is the reason for the dominoes descent, and it's also the reason why they don't stop until they hit the ground. By the way, gpe can be calculated by the following: GPE=mgh m=mass g=acceleration due to gravity (9.81m/s^2) h=height (distance from ground)

Gravitational potential energy (GPE) is essentially a measure of stored energy. It is defined as being a function of gravity (9.8m/s2 on Earth), mass and perpedicular distance above the ground.Since work is a measure of energy the GPE is a measure of potential work. Work is defined as:Work = Force * Distance = FdNewton's laws of motion are then used to replace force with some function of mass and acceleration due to gravity:Force = Mass * Acceleration = maor, in this case,Force = Mass * Gravity = mgTherefore:GPE = Mass * Gravity * Distance = mgdFor a falling object it is losing potential energy as it moves closer to the ground (because the distance value in the equation above is reducing) so the distance between the object and the ground defines the remaining GPE of the falling object for the remainder of the fall after this point. This equation will only tell you the GPE relative to distance from the ground, as mass and gravity are constants.If you wanted to take that a bit further you can factor in the speed of falling and derive equations to calculate the GPE at a specific time interval relative to when the object is released. To do this we need Newton's equations of motion (I've cancelled out and modified the below equation for simplicity):Distance = ( Gravity * Time * Time ) / 2 = 0.5gt2Plugging this into the GPE equation we get,Remaining GPE = mg(d-0.5gt2)Examples:So if an object with a mass of 100kg is held at 50m above the ground on Earth it will have a GPE of:GPE = mgd = 100 * 9.8 * 50 = 49.00kJIf the object is released and we want to know the remaining GPE after 1 second:Remaining GPE = mg(d-0.5gt2) = 100 * 9.8 * ( 50 - ( 0.5 * 9.8 * 12 ) ) = 44.20kJRemaining GPE after 2 seconds:Remaining GPE = mg(d-0.5gt2) = 100 * 9.8 * ( 50 - ( 0.5 * 9.8 * 22 ) ) = 29.79kJ

Related questions

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The answer will depend on their positions (heights).

GPE=weight x height

GPE = mass * acceleration of gravity * height. Original GPE : m*g*h Joules if you double the height, you get m*g*2h Joules, or 2*m*g*h -- twice the GPE.

what is a gpe sentence mean and what kind of time will you get.

Height= GPE/gravitational constant(mass)

No, GPE is only one of different forms of PE.

what is a gpe sentence mean and what kind of time will you get.

GPE = m*g*h = 294 Joules.

GPE = Mass * Height so Mass = GPE/Height

Gravitational Potential Energy

It converts gravitational potential energy (GPE) at the height of the swing to kinetic energy. This is then converted back to GPE. The process continues.