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Which has a greater effect on gpe mass or weight?
mass is greater
What does gpe equal?
mgh, where m= mass, g= gravity, and h= height above ground
How to Calculate the potential energy of a falling object?
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
Can you find the GPE of a goffe mug wih a mass of 0.3 kg on a 1-m high counter top?
GPE = m•g•h, where m is mass in kg, g is 9.8m/s2, and h is height in meters.GPE = 0.3kg x 9.8m/s2 x 1m = 2.94 kg•m2/s2 = 2.94 Joules = 3 Joules (rounded to 1 significant figure)
What type of potential energy is dominoes falling?
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)
How do you find the mass of an object if you have its height and gravitational potential energy?
GPE = Mass * Height so Mass = GPE/Height
How can you find the height in a gpe problem?
Height= GPE/gravitational constant(mass)
Which has a greater effect on gpe mass or weight?
mass is greater
What would the gravitational potential energy be if the bucket of water were raised twice as high?
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.
If the larger boulder has a mass of 50 kg and a height of 150 m from the ground what is its GPE?
GPE = mgh (mass x gravity x height). You can use 9.8 for gravity.
What are 2 equations for GPE?
Weight*Height Mass*9.8*Height \
How Gravitational potential energy affected by height?
The higher off the ground something is, the greater its GPE is. GPE=mass x gravitatonal constant x height.
What is the gpe of a book that has a mass of 4 kg on a table 3 meters off the ground?
GPE = mgh = 4 x 9.8 x 3 = 117.6J
Is the gravitational potential energy of the object dependent to the mass?
Yes. GPE = mgh (mass x gravity x height).
What does gpe equal?
mgh, where m= mass, g= gravity, and h= height above ground
What is the gravitational potential energy of an object is equal to its weight multiplied by its?
The gravitational potential energy is equal to: GPE = mass x gravity x height Or equivalently: GPE = weight x height
How to Calculate the potential energy of a falling object?
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
