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How won't the answer be 10m per sec. A 100kg box is sitting on top of a shelf and has 500J of gravitational potential energy. if the box were to fall off the shelf what its velocity be?
Wiki User
∙ 6y ago
At that speed, its kinetic energy would be quite a bit more than its previous potential energy.To solve this, assume that all the potential energy will be converted to kinetic energy. Replace the energy and the mass into the equation for kinetic energy, and solve for speed.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoSimple! It is because the calculation which led you to the answer 10 ms-1 was wrong.
Gravitational potential energy = mgh = 500, where m is the mass = 100 kg, g is the acceleration due to gravity and h is the height.
m = 100 kg => gh = 5.
Using the equations of motion,
v2 - u2 = 2gh (2as in standard "SUVAT" terms)
where u is the initial velocity (= 0 ms-1) and v is the final velocity.
Therefore v2 - 0 = 2*5 = 10
So it is v2 which is 10, not v. (The superscript 2 is not simply for decoration!)
and therefore v = 3.1623, approx.
Wiki User
∙ 6y agoThe velocity is the square root of (2 PE/m) where PE = 500 and m = 100; that is the square root of 10 or 3.16 m/sec
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Does speed affect gravitational potential energy of an object?
Does speed 'effect' the gravitational potential energy of an object? No, but gravitational potential energy can be converted into kinetic energy - so the gravitational potential energy can effect the speed. Ep = mgh Energy Potential = mass * 9.81 (gravity) * height Speed / Velocity is absent from that equation.
If you throw a ball into the air where will it have the greatest gravitational potential energy?
The ball has the highest gravitational potential energy when it is at its highest point in the air, as that is when it has a velocity of zero and is up the highest.
The energy of position such as a rock on a hill is what energy?
Gravitational energy Potential energy
Why is potential energy called gravitational potential energy?
Potential energy and gravitational potential energy are different from each other ."Potential energy is the ability of a body to do work." Anddue_to_its_height.%22">"Gravitational potential energy is the ability of a body to do work due to its height."Gravitational potential energy is a type of potential energy.
Which has greater gravitational potential energy a car sittknv on top of a hill or a bowling ball sitting kn top of the same hill?
Gravitational potential energy is proportional to the object's height and its mass. So if the car has more mass than the bowling ball has, then it also has more gravitational potential energy.
What happens to the gravitational energy of an object as it gets higher in a gravitational field?
-- If the velocity is horizontal, then gravitational potential energy doesn't change. -- If velocity is vertical and upward, gravitational potential energy increases at a rate proportional to the speed. -- If velocity is vertical and downward, gravitational potential energy decreases at a rate proportional to speed.
Does a book sitting on a shelf have gravitational potential energy?
YES!
Does speed affect gravitational potential energy of an object?
Does speed 'effect' the gravitational potential energy of an object? No, but gravitational potential energy can be converted into kinetic energy - so the gravitational potential energy can effect the speed. Ep = mgh Energy Potential = mass * 9.81 (gravity) * height Speed / Velocity is absent from that equation.
If you throw a ball into the air where will it have the greatest gravitational potential energy?
The ball has the highest gravitational potential energy when it is at its highest point in the air, as that is when it has a velocity of zero and is up the highest.
The energy of position such as a rock on a hill is what energy?
Gravitational energy Potential energy
Is gravitational energy kinetic?
Gravitational energy is the potential energyassociated with the gravitational field.
Why is potential energy called gravitational potential energy?
Potential energy and gravitational potential energy are different from each other ."Potential energy is the ability of a body to do work." Anddue_to_its_height.%22">"Gravitational potential energy is the ability of a body to do work due to its height."Gravitational potential energy is a type of potential energy.
What energy does a boulder have sitting on top of a mountain?
A rock on the top of a hill has potential energy. When it falls it has kinetic energy. You are probably in 6th grade to be learning this. :) Hope this helped you!
What does potential energy plus gravitational energy equals?
Gravitational-potential energy.
Which has greater gravitational potential energy a car sittknv on top of a hill or a bowling ball sitting kn top of the same hill?
Gravitational potential energy is proportional to the object's height and its mass. So if the car has more mass than the bowling ball has, then it also has more gravitational potential energy.
A squirrel running up a tree and sitting on a branch shows what kind of energy conversation (apex)?
Kinetic energy becoming potential energy.
Is gravitational energy an example of kinetic energy or potential energy?
Gravitational energy is partly potential energy, -mGM/r and partly vector energy cmV. The vector energy is not recognized because physicists define energy as a scalar, not a vector. The Universe defines energy as a Quaternion the sum of a scalar and a vector.Kinetic energy is scalar energy subset of potential energy.The gravitational energy is a Quaternion:W = -mGm/r + cmV = -vh/r + cP =-vp + cP = -mv2 + cPThe Law of Gravity creates a velocity field V that imposes itself on the mass m. The potential energy is -vp = -mv2 and the vector energy cP= cmV.The gravitational field cause both the potential energy and the vector energy. What Newton and physicists have done is to miss the fact that the mass m is moving with velocity and thus has vector momentum , vector energy.
