# What is the formula for height in potential energy?

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## What is the formula for height in potential energy?

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

## What is formula of height?

So, “H/S = h/s.” For example, if s=1 meter, h=0.5 meter and S=20 meters, then H=10 meters, the height of the object.

## Why is height measured in potential energy?

What more do we need to calculate initial potential energy? Since is a constant, the acceleration due to gravity on Earth, we only need the mass and the height. The problem gives a height, so we only need mass. Given the mass and the height, we would be able to calculate the initial potential energy.

## How do you find height from Joules with mass?

In this example, a 3 kilogram mass, at a height of 5 meters, while acted on by Earth’s gravity would have 147.15 Joules of potential energy, PE = 3kg * 9.81 m/s2 * 5m = 147.15 J.

## How do you find height and distance?

So if we know the height of the object and the linear distance, we can easily find out the angle by trigonometric formula. It is given by tan = Height / distance ….Trigonometrical Identities:

1. sin2 + cos2 = 1.
2. 1 + tan2 = sec2 .
3. 1 + cot2 = cosec2 .

## How do you find height in mechanical energy?

Mechanical Energy= ½ mv2 + mgh. h is the height from the ground. From this equation, you can see that the only variables are mass, height, and velocity.

## How do you find height with angle and velocity?

How to find the maximum height of a projectile?

1. if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest. …
2. if α = 45°, then the equation may be written as: …
3. if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that’s the case of horizontal projectile motion.

## What is the formula of maximum height?

The maximum height h reached by the projectile is equal to one-half of H, the altitude of this triangle. = H – ½H so h = H/2, which is the desired result.

## How is height related to potential and kinetic energies?

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, a doubling of the height will result in a doubling of the gravitational potential energy.

## How do you find the height of a spring constant?

Explanation:

1. The spring constant is k=16kgs−2.
2. The compression of the spring is x=74m.
3. PE=12kx2=12⋅16⋅(74)2=24.5J.
4. KEball=12mu2.
5. Let the height of the ball be =h.
6. The acceleration due to gravity is g=9.8ms−2.
7. The potential energy of the ball is PEball=mgh.
8. Mass of the ball is m=0.350kg.