(32/8)^2=16
The kinetic energy of an object is proportional to the square of its velocity. Therefore, the ratio of kinetic energies of the two objects would be (32/8)^2 = 16.
The ratio of kinetic energy is 9:1. Kinetic energy is directly proportional to mass and speed squared, so if ball A has triple the mass and speed of ball B, the kinetic energy of ball A will be 9 times that of ball B.
The ratio of their kinetic energies is (1:4), as kinetic energy is directly proportional to the square of velocity. Therefore, the ratio is given by ((1/2) m v^2 : (1/2) m (2v)^2 = 1:4), where (m) represents the mass of the bodies.
The efficiency of the motor can be calculated as the ratio of useful output energy to input energy. In this case, the efficiency would be 70J (useful kinetic energy) divided by 100J (electrical energy) multiplied by 100% to get a percentage. So, the efficiency of the motor is 70%.
Mechanical energy is the combination of a system's total kinetic and potential energy. Kinetic energy is the energy of movement, is possessed by any objects in motion, and is given by the equation K = (1/2)mv^2. Potential energy has several types, including potential energy due to height (gravitational potential energy) and due to the tension inherent to a spring (elastic potential energy). Ug = mgh, where g is the acceleration due to gravity. Ue = (1/2)kx^2, where k is the spring constant and x is the distance the spring is stretched in meters. Although the universe follows the Law of Conservation of Energy, mechanical energy is not necessarily conserved. This means that mechanical energy can transform into other types of energy and vice versa. For example, when a machine operates, some mechanical energy is lost to heat energy. The ratio of mechanical energy conserved to the energy lost to thermal energy is known as efficiency, and no machines have 100% efficiency (no heat loss). On the other hand, non-mechanical energy such as electrical energy can convert to kinetic energy in situations when the electric potential of a capacitor powers the movement of a particle through the capacitor.
Kinetic energy at velocity "V" is (0.5) x mass x V x V Kinetic energy at velocity "2V" is (0.5) x mass x 2V x 2V Ratio of KE at velocity 2V and KE at velocity V is [(0.5) x mass x 2V x 2V] / [(0.5) x mass x V x V] = 4 So if the velocity double, KE quadruples
The answer depends on what two (or more) things the ratio is meant to compare. The kinetic energy of several objects? The kinetic energy of an object compared to its total energy? The kinetic energy compared to its engine size?
no
The ratio of kinetic energy is 9:1. Kinetic energy is directly proportional to mass and speed squared, so if ball A has triple the mass and speed of ball B, the kinetic energy of ball A will be 9 times that of ball B.
.067
42.8
The ratio of their kinetic energies is (1:4), as kinetic energy is directly proportional to the square of velocity. Therefore, the ratio is given by ((1/2) m v^2 : (1/2) m (2v)^2 = 1:4), where (m) represents the mass of the bodies.
Mechanical energy is the combination of a system's total kinetic and potential energy. Kinetic energy is the energy of movement, is possessed by any objects in motion, and is given by the equation K = (1/2)mv^2. Potential energy has several types, including potential energy due to height (gravitational potential energy) and due to the tension inherent to a spring (elastic potential energy). Ug = mgh, where g is the acceleration due to gravity. Ue = (1/2)kx^2, where k is the spring constant and x is the distance the spring is stretched in meters. Although the universe follows the Law of Conservation of Energy, mechanical energy is not necessarily conserved. This means that mechanical energy can transform into other types of energy and vice versa. For example, when a machine operates, some mechanical energy is lost to heat energy. The ratio of mechanical energy conserved to the energy lost to thermal energy is known as efficiency, and no machines have 100% efficiency (no heat loss). On the other hand, non-mechanical energy such as electrical energy can convert to kinetic energy in situations when the electric potential of a capacitor powers the movement of a particle through the capacitor.
30 J
Kinetic Energy = 1/2 m V2At 2 m/s, the bicycle's KE is (1/2 x 10 x 4) = 20 joules.At 3 m/s, its KE is (1/2 x 10 x 9) = 45 joules.The difference in kinetic energy at the higher speed is (45 - 20) = 25 joules.That's the energy (work) that has to come from somewhere in order to achievethe higher speed.Check:The ratio of speeds is 3/2 = 1.5 . Since kinetic energy is proportional to the square of the speed,we need the square of the ratio to check. It's (1.5)2 = 2.25 .The ratio of the kinetic energies that we calculated at the two speeds is (45/20) = 2.25 .That's good enough for us. Check ! and mate
protons and electrons are identical in number in an atom
Density
The efficiency ratio for a machine usually refers to the ratio of the useful energy available from a machine and the energy put into it.