Procedures: Complete the table below. refers to the situations and explanations above to guide and help you determine what happens to kinetic energy of an object when either mass or speed is changed. Use directly the formula of kinetic energy, KE = ½ mv². Number 1 is done for you. Table 1: effects of mass and speed to kinetic energy.

Kinetic Energy (KE)
1. doubled
2.
3.
4.
5.
6.

Mass
1. doubled
2. constant
3. doubled
4. reduced to ½
5. tripled
6. reduced to ½

Speed
1. constant
2. tripled
3. doubled
4. reduced to ½
5. tripled
6. doubled

Question:

1. which of the numbers above is KE largest ?

2. which of the numbers above is KE smallest ?

3. Rank the KE of the numbers above from smallest to largest.

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Explanation:

When mass is constant and speed is tripled,

KE=1/2m(3v)^2

KE=1/2m9v^2

KE=9(1/2mv^2)

KE is increased by 9 times.

When mass and speed is doubled,

KE=1/2mv^2

KE=1/2*2m(2v^2)

KE=8(1/2mv^2)

KE is increased by 8 times.

When mass and speed is reduced to 1/2 ,

KE=1/2mv^2

KE=1/2*1/2m(1/2v^2)

KE=1/8(1/2mv^2)

KE is decreased by 8 times.

When mass and speed is tripled,

KE=1/2mv^2

KE=1/2*3m(3v^2)

KE=27(1/2mv^2)

KE is increased by 27 times.

When mass is reduced to 1/2 and speed is doubled,

KE=1/2*mv^2

KE=1/2*1/2m(2v^2)

KE=2(1/2mv^2)

KE is doubled.

1. which of the numbers above is KE largest ?

When mass and speed is tripled, KE is increased by 27 times.

2. which of the numbers above is KE smallest ?

When mass and speed is reduced to 1/2 ,KE is decreased by 8 times.

3.Rank the KE of the numbers above from smallest to largest.

KE is decreased by 8 times.

KE is doubled.

KE is increased by 8 times.

KE is increased by 9 times.

KE is increased by 27 times.

Any small mistakes if present, correct it yourself please.

(Ps: This is a question from physics)

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