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1 year ago

Explain how you would find the volume of a regular-shaped cube in comparison to an irregular shaped object such as a rock.

Physics

1 answer:

Colt1911 [192]1 year ago

4 0

1. To obtain the volume of a regular-shaped cube, we simply use the formula.

2. To find the volume of an irregular shaped object, we simply use displace method

<h3>Volume of regular shape cube</h3>

The volume of a cube can be obtained by using the formula below:

Volume = Length × Width × Height

<h3>Volume of irregular object</h3>

The volume of irregular objects can be obtained by using displacement method as illustrated below:

Volume of water = 20 mL
Volume of water + stone = 25 mL
Volume of stone =?

Volume of stone = (Volume of water + stone) - (volume of water)

Volume of stone = 25 - 20

Volume of stone = 5 mL

Thus, we can see that the volume of regular objects can be obtained by using their formulas whereas, the volume of irregular objects can be obtained by using displacement method.

Learn more about volume of irregular shape:

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The kinetic energy lost in the collision is 48 J

Explanation:

Given;

mass of the first ball, m₁ = 2.0 kg

mass of the second ball, m₂ = 6.0 kg

initial speed of the first ball, u₁ = 12 m/s

initial speed of the second ball, u₂ = 4 m/s

let v be the final velocity of the two balls after the inelastic collision

Apply the principle of conservation of linear momentum;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

2 x 12 + 6 x 4 = v(2 + 6)

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48 / 8 = v

v = 6 m/s

The initial kinetic energy of the balls is calculated as;

K.E₁ = ¹/₂m₁u₁² + ¹/₂m₂u₂²

K.E₁ = ¹/₂(2)(12²) + ¹/₂(6)(4)²

K.E₁ = 144 + 48

K.E₁ = 192 J

The final kinetic of the balls is calculated as;

K.E₂ = ¹/₂(m₁ + m₂)(v²)

K.E₂ = ¹/₂(2 + 6)(6²)

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The lost in kinetic energy of the balls is K.E₂ - K.E₁ = 144 J - 192 J = -48 J

Therefore, the kinetic energy lost in the collision is 48 J

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