The gravitational potential energy of the cat can be calculated using the formula: GPE = weight * height. Given that the weight of the cat is 20 N and the height of the couch is 0.5 m, the gravitational potential energy of the cat is 10 J (20 N * 0.5 m).
The initial velocity needed can be calculated using the conservation of energy principle. The gravitational potential energy at height 20m is equal to the initial kinetic energy given to the mass. Using the equation for gravitational potential energy (mgh), where m = mass, g = acceleration due to gravity (9.81 m/sĀ²), and h = height (20m), we can calculate the initial velocity. The total energy of the system will be the sum of the initial kinetic energy and the potential energy at height 20m.
The approximate potential energy of the mass with respect to the ground is 784 J. This is calculated as potential energy = mass x gravity x height, which is 20 kg x 9.8 m/s^2 x 4 m.
The potential energy of a 20-kg rock depends on its height above the ground and the gravitational acceleration. The potential energy formula is PE = mgh, where m is the mass of the rock (20 kg), g is the acceleration due to gravity (9.81 m/s^2), and h is the height above the ground.
The potential energy of the rock can be calculated using the formula: Potential energy = mass * gravity * height. Given the mass of 20 kg, gravitational acceleration as 9.8 m/s^2, and height of 100 meters, the potential energy of the rock would be 20 kg * 9.8 m/s^2 * 100 m = 19600 J.
The gravitational potential energy of the cat can be calculated using the formula: GPE = weight * height. Given that the weight of the cat is 20 N and the height of the couch is 0.5 m, the gravitational potential energy of the cat is 10 J (20 N * 0.5 m).
20 kilograms and 5 meters? Potential energy = mass * gravitational acceleration * height PE = (20 kilograms )(9.80 m/s2)(5 meters) = 980 Joules of potential energy -----------------------------------------
Potential work = gravitational potential energy = mass x gravity x height = 20 x 9.8 x 10 = 1960 J or 1.96 kJ
The potential energy of the safe can be calculated using the formula: Potential energy = mass x gravitational acceleration x height. Plugging in the values, we get: Potential energy = 20 kg x 9.8 m/s^2 x 0.5 m = 98 Joules. Therefore, the potential energy of the safe is 98 Joules.
The initial velocity needed can be calculated using the conservation of energy principle. The gravitational potential energy at height 20m is equal to the initial kinetic energy given to the mass. Using the equation for gravitational potential energy (mgh), where m = mass, g = acceleration due to gravity (9.81 m/sĀ²), and h = height (20m), we can calculate the initial velocity. The total energy of the system will be the sum of the initial kinetic energy and the potential energy at height 20m.
The approximate potential energy of the mass with respect to the ground is 784 J. This is calculated as potential energy = mass x gravity x height, which is 20 kg x 9.8 m/s^2 x 4 m.
The potential energy of a 20-kg rock depends on its height above the ground and the gravitational acceleration. The potential energy formula is PE = mgh, where m is the mass of the rock (20 kg), g is the acceleration due to gravity (9.81 m/s^2), and h is the height above the ground.
The potential energy of the rock can be calculated using the formula: Potential energy = mass * gravity * height. Given the mass of 20 kg, gravitational acceleration as 9.8 m/s^2, and height of 100 meters, the potential energy of the rock would be 20 kg * 9.8 m/s^2 * 100 m = 19600 J.
The potential energy of the 20 kg rock on the edge of a 100 m cliff is twice as much as the potential energy of the 20 kg rock on the edge of a 50 m cliff. This is because potential energy is directly proportional to the height of the object above the reference point (in this case, the ground).
The potential energy of the safe can be calculated using the formula: Potential Energy = mass * gravity * height. Given the values, the potential energy of the safe is 98 J (20 kg * 9.8 m/s^2 * 0.5 m).
At 5 m above the ground, the weight's potential energy is given by PE = mgh = 20 kg x 9.8 m/s^2 x 5 m = 980 J. When the weight is 2 m above the ground, its potential energy is now PE = 20 kg x 9.8 m/s^2 x 2 m = 392 J. The difference in potential energy between the two points is the kinetic energy the weight has at 2 m above the ground, which is KE = 980 J - 392 J = 588 J.
The total energy in a system is the sum of its potential energy (PE) and kinetic energy (KE). In this case, with a total energy of 30 joules and potential energy of 20 joules, we can use the formula: Total Energy = Potential Energy + Kinetic Energy. So, KE = Total Energy - PE = 30 J - 20 J = 10 joules.