E (joules) = mgh where:
m = mass (Kilograms)
g = acceleration due to gravity (metres per second squared)
h = height above ground (or lower boundary) (metres)
Formula for Gravitational potential is - G M / r Here G is universal Gravitation constant, M - mass of the planet and r is the distance of the point from the centre of the planet. The unit is J/kg If potential energy is needed then the potential is to be multiplied by the mass m. So gravitational potential energy = - G M m / r So the unit would be J (joule)
To find the mass of an object given its height and gravitational potential energy, you can use the formula for gravitational potential energy: GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height. Rearrange the formula to solve for mass: m = GPE / (gh). Plug in the values for GPE, height, and the acceleration due to gravity to calculate the mass.
You can use the formula for kinetic energy to verify the total kinetic energy (KE = 0.5mv2). Then, assuming all the energy is converted to (gravitational) potential energy, use the formula for potential energy, and solve for height. (PE = mgh)
The gravitational potential energy of the rock at the edge of the bridge is converted to kinetic energy as it falls. Use the formula for gravitational potential energy (mgh) to find the potential energy at the top, then equate that energy to the kinetic energy (1/2 * m * v^2) just before impact to solve for the final velocity. Finally, use this velocity in the kinetic energy formula to calculate the kinetic energy just as it hits the water.
To determine the velocity of an object using its potential energy, you can use the principle of conservation of energy. By equating the potential energy of the object to its kinetic energy, you can calculate the velocity of the object. The formula to use is: Potential Energy Kinetic Energy 1/2 mass velocity2. By rearranging this formula, you can solve for the velocity of the object.
Formula for Gravitational potential is - G M / r Here G is universal Gravitation constant, M - mass of the planet and r is the distance of the point from the centre of the planet. The unit is J/kg If potential energy is needed then the potential is to be multiplied by the mass m. So gravitational potential energy = - G M m / r So the unit would be J (joule)
To find the mass of an object given its height and gravitational potential energy, you can use the formula for gravitational potential energy: GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height. Rearrange the formula to solve for mass: m = GPE / (gh). Plug in the values for GPE, height, and the acceleration due to gravity to calculate the mass.
Once you have the gravitational potential energy required to move an object a certain distance away from the Earth, you simply plug it into the formula for the kinetic energy, and solve for speed.
You can use the formula for kinetic energy to verify the total kinetic energy (KE = 0.5mv2). Then, assuming all the energy is converted to (gravitational) potential energy, use the formula for potential energy, and solve for height. (PE = mgh)
The gravitational potential energy of the rock at the edge of the bridge is converted to kinetic energy as it falls. Use the formula for gravitational potential energy (mgh) to find the potential energy at the top, then equate that energy to the kinetic energy (1/2 * m * v^2) just before impact to solve for the final velocity. Finally, use this velocity in the kinetic energy formula to calculate the kinetic energy just as it hits the water.
Clearly, that depends on the amount of potential energy. If given the height, calculate the potential energy with the formula for gravitational potential energy (PE = mgh). If mass is not given, you can assume any mass (it doesn't affect the result), or use a variable "m". Then, assuming it gets converted to kinetic energy, use the formula for kinetic energy (KE = (1/2)mv2), replace the KE with the energy you calculated before, and solve for v (the speed).
To determine the velocity of an object using its potential energy, you can use the principle of conservation of energy. By equating the potential energy of the object to its kinetic energy, you can calculate the velocity of the object. The formula to use is: Potential Energy Kinetic Energy 1/2 mass velocity2. By rearranging this formula, you can solve for the velocity of the object.
This is actually a relatively simple question. Gravitational Potential Energy is defined as Mass times Height times the gravitational constant. mgh is the formula. We set this equal to zero. mgh = 4441J. We know the height, 3.6 meters and the gravitational constant, which on earth is 9.8 meters per second squared. We then solve for m. m = 125.88kg. Hope this helps!
Use the formula for gravitational potential energy: PE = mgh Replace the numbers you know: energy (PE), mass, and a gravity of about 9.8. Solve the resulting equation for height. Since you are using standard SI units, the answer will be in meters.
To calculate the mass of an object using gravitational potential energy, you need to know the height (15 meters) and the potential energy (180 joules). The formula for gravitational potential energy is PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s^2), and h is the height. Rearrange the formula to solve for mass: m = PE / (gh). Plug in the values and calculate the mass of the object.
Just use the formula for gravitational potential energy:GPE = mgh Earth's gravity is around 9.8 newton/kilogram (it varies a bit, depending where you are located). The answer will be in joules.
To find the mass of the object, we first need to determine the gravitational potential energy formula, which is PE = mgh (mass x gravity x height). Given the potential energy (PE) as 980 J and height (h) as 5 meters, solve for mass (m) using the formula. The mass of the object would be 40 kg.