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

Question

Aditya Potter

Physics

27 October, 18:44

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

+3

Answers (1)

Know the Answer?

Kennedy Larson · Answer 1

mass₃
Explanation:

Given data : -

1. mass: m speed: v

2. mass: 4 m speed: v

3. mass: 2 m speed: ¼ v

4. mass: 4 m speed: v

5. mass: 4 m speed: ½ v

We know that Kinetic energy (KE) = ½ mv²

Where m = mass of the body

v=velocity of the body

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

KE of Body 1 (mass₁) = ½*m*v² = mv²/2

KE of Body 2 (mass₂) = ½*4m*v² = 2mv²

KE of Body 3 (mass₃) = ½*2m * (1/4v) ² = mv²/16

KE of Body 4 (mass₄) = ½*4m*v ² = 2mv ²

KE of Body 5 (mass₅) = ½*4m * (1/2v) ² = mv²/2