answersLogoWhite

0

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.

User Avatar

Wiki User

15y ago

What else can I help you with?

Continue Learning about Physics

An object projected up with initial velocity v attains a height h Another object projected up with initial velocity 2v will attain what height?

The height attained by an object projected up is directly proportional to the square of its initial velocity. So, if an object with initial velocity v attains a height h, then an object with initial velocity 2v will attain a height of 4 times h.


How does the height from which an object was dropped affect its average velocity?

The height from which an object is dropped does not affect its average velocity. Average velocity depends on the overall displacement and time taken to achieve that displacement, regardless of the initial height of the object.


How do you measure velocity of a falling object if height is 2m?

To measure the velocity of a falling object when the height is 2m, you can use the equation v=sqrt(2gh), where g is the acceleration due to gravity (approximately 9.81 m/s^2) and h is the height (2m). Plug in these values to calculate the velocity of the falling object when it reaches a height of 2m.


What is the relationship between velocity and height?

Velocity and height are related through the concept of kinetic and potential energy. As an object gains height, it typically loses velocity (kinetic energy) due to gravity acting against its upward motion. Conversely, as an object loses height, it gains velocity as its potential energy is converted back into kinetic energy.


What is the formula for calculating the height of an object in free fall based on its velocity using the equation hv2/2g?

The formula for calculating the height of an object in free fall based on its velocity is h v2 / 2g, where h is the height, v is the velocity, and g is the acceleration due to gravity.

Related Questions

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.


An object projected up with initial velocity v attains a height h Another object projected up with initial velocity 2v will attain what height?

The height attained by an object projected up is directly proportional to the square of its initial velocity. So, if an object with initial velocity v attains a height h, then an object with initial velocity 2v will attain a height of 4 times h.


How does the height from which an object was dropped affect its average velocity?

The height from which an object is dropped does not affect its average velocity. Average velocity depends on the overall displacement and time taken to achieve that displacement, regardless of the initial height of the object.


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.


How do you measure velocity of a falling object if height is 2m?

To measure the velocity of a falling object when the height is 2m, you can use the equation v=sqrt(2gh), where g is the acceleration due to gravity (approximately 9.81 m/s^2) and h is the height (2m). Plug in these values to calculate the velocity of the falling object when it reaches a height of 2m.


What is the relationship between velocity and height?

Velocity and height are related through the concept of kinetic and potential energy. As an object gains height, it typically loses velocity (kinetic energy) due to gravity acting against its upward motion. Conversely, as an object loses height, it gains velocity as its potential energy is converted back into kinetic energy.


What is the formula for calculating the height of an object in free fall based on its velocity using the equation hv2/2g?

The formula for calculating the height of an object in free fall based on its velocity is h v2 / 2g, where h is the height, v is the velocity, and g is the acceleration due to gravity.


How can one determine the maximum height reached by an object launched with a given initial velocity?

To determine the maximum height reached by an object launched with a given initial velocity, you can use the formula for projectile motion. The maximum height is reached when the vertical velocity of the object becomes zero. This can be calculated using the equation: Maximum height (initial velocity squared) / (2 acceleration due to gravity) By plugging in the values of the initial velocity and the acceleration due to gravity (which is approximately 9.81 m/s2 on Earth), you can find the maximum height reached by the object.


What factors does the kinetic energy of an object depend on (apex)?

The kinetic energy of an object depends on its mass and its velocity. The higher the mass or the velocity of the object, the greater its kinetic energy.


What 2 things does an object kinetic energy depend on?

An object's kinetic energy depends on its mass and its velocity. As an object's mass or velocity increases, its kinetic energy will also increase.