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The amount of kinetic energy an object has depends on its mass and its speed. Rank the following sets of oranges and cantaloupes from least kinetic energy to greatest kinetic energy. If two sets have the same amount of kinetic energy, place one on top of the other. 1. mass: m speed: v2. mass: 4 m speed: v3. total mass: 2 m speed: 1/4v4. mass: 4 m : speed: v5. total mass: 4 m speed: 1/2v

Respuesta :

massā‚ƒ<massā‚=massā‚…<massā‚‚=massā‚„

Explanation:

Given data :-

1. mass: Ā m Ā  Ā  Ā speed: v

2. mass: 4 m Ā  speed: v

3. mass: 2 m Ā  speed: Ā¼ v

4. mass: 4 m Ā  speed: v

5. mass: 4 m Ā  speed: Ā½ v

We know that Kinetic energy (KE) = Ā½ mvĀ²

Where m= mass of the body

Ā  Ā  Ā  Ā  Ā  Ā v=velocity of the body

Substituting the values of respective mass and velocity from the above given data-

KE of Body 1(massā‚) = Ā½*m*vĀ² Ā  Ā  Ā  Ā  Ā  Ā  = mvĀ²/2

KE of Body 2(massā‚‚) = Ā½*4m*vĀ² Ā  Ā  Ā  Ā  = 2mvĀ²

KE of Body 3(massā‚ƒ) = Ā½*2m*(1/4v)Ā² Ā = Ā mvĀ²/16

KE of Body 4(massā‚„) = Ā½*4m*v Ā² Ā  Ā  Ā  Ā = Ā 2mv Ā²

KE of Body 5(massā‚…) = Ā½*4m*(1/2v)Ā² Ā = Ā  mvĀ²/2

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