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The height of an object suspended in a uniform gravitational field gives the object an associated potential energy. This energy is described by
Potential Energy = m*g*h
where m represents the mass of the object, g represents the acceleration of the gravitational field, and h represents the height of the object relative the bottom of its trajectory.
When the object is released, it will tend to accelerate in the direction of the gravitational field, transforming its potential energy into kinetic energy. This is referred to as "free-fall." The kinetic energy can be described by
Kinetic Energy = 0.5*m*v2
where m represents the mass of the object and v represents the instantaneous velocity of the object.
During free-fall, energy is conserved so, the total energy of the system is constant and can be described as
Energytotal = Kinetic Energy + Potential Energy
E = 0.5*m*v2 + m*g*h
This is true at any instant during free-fall, so we can rewrite it to describe velocity in terms of height and we get
v = (2(E/m - g*h))1/2
To calculate the constant E, it is convenient to set the kinetic energy to zero (when velocity is zero) and the potential energy will be at its maximum. This occurs at the initial height. Here, the total energy is equal to the potential energy.
Wiki User
∙ 14y ago
Wiki User
∙ 14y agothe kinetic energy gained must be equal to the gravitational energy lost.
0.5mv2 = mgh
0.5v2 = gh
v2 = 2gh
so the speed is affect by the square root of the height change multiplied by a constant which is the square root of twice the magnitude of the acceleration due to gravity.
Wiki User
∙ 10y agoIf you are talking about the velocity of a falling object as it hits the ground, yes its velocity depends on the height from which it falls, but also on its shape shince it is falling through the air and thus has a maximum velocity it cannot exceed no matter how high it is when it starts falling.
Notice that the object's velocity could have been almost anything before it fell.
Its velocity, neither speed nor direction, before it began to fall, didn't depend on
the height of wherever it started from.
At any given height, an airplane may be moving up fast or slow, moving down
fast or slow, or not moving up or down at all. At the same height, a glider may
be moving up or down fast or slow, and a helicopter may be moving up, down,
left, or right, fast or slow, or not moving at all.
The question talks about the "height of the object". We've been working with the altitude, but not with the heights of an object. An athletic 30-year-old lady
may be 6 feet high, and she may do some skydiving on the weekend. At different
points during the exercise she may be moving faster or slower than the 20-ft-high
airplane that took her aloft for her dive. And down below, arranged around the
little rural private airport, are a number of buildings with heights ranging from
10-ft to 50-ft, and none of them has any velocity at all.
Wiki User
∙ 13y agoit's because of the gravity :)
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An object projected up with initial velocity v attains a height h Another object projected up with initial velocity 2v will attain what height?
4h
How do you measure velocity of a falling object if height is 2m?
Velocity= sqrt(2(distance*gravity))
Does position affect velocity?
Sometimes. If an object is falling, it's position relative to the Earth, will affect its velocity. Between two parallel electric plates, the velocity of an charged oil drop is independent of its position (more or less).
What moment of inertia does not depend on angular velocity?
An object that is rotating at constant angular velocity will remain rotating unless it is acted upon by an external torque.
Why does velocity not depend on distance?
Velocity does depend on distance. Velocity = Distance/Time
What height will it gain after the escape velocity becomes half?
That will depend not only on the escape velocity, but also - very importantly - on the object's speed.
what happens to the height of a tsunami when its velocity is doubled?
[object Object]
Does a moving object's distance depend on the object's mass and velocity?
The distance doesn't depend on the mass.
The energy of an object in motion will depend on what?
Its velocity and its mass.
An object projected up with initial velocity v attains a height h Another object projected up with initial velocity 2v will attain what height?
4h
How do you measure velocity of a falling object if height is 2m?
Velocity= sqrt(2(distance*gravity))
What two things do the kinetic energy of an object depend on?
KE = mv2 The mass and the squared velocity of the object.
How do you calculate height based on velocity and time?
I assume you refer to the formula distance = velocity x time. If an object moves upward, the distance would become the height.
Does the inertia of an object depend directly on its motion?
Yes. Yes it does. also mass and velocity
How many kilometer hours are in one hour?
It would depend on the velocity of the object you are measuring.
What does a moving object have that depends on it's mass and velocity called?
Both momentum and kinetic energy depend on mass and velocity.
Why does an object dropped from a certain height have more than twice the speed of an object dropped from half the height of the previous object?
Because they undergo an acceleration. Free fall velocity is the function of a square.
