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Rama09 [41]
3 years ago
14

An internal explosion breaks an object initially at rest into two pieces, one of which has 1.6 times the mass of the other. If 5

900J is released in the explosion, how much kinetic energy does each piece acquire?
Physics
1 answer:
olga55 [171]3 years ago
3 0
The pieces will fly off in opposite directions to conserve momentum so:
m₁v₁ = m₂v₂
m₁v₁ = 1.6m₁v₂
v₂ = v₁/1.6
Ratios of K.E = m₁(v₁)²/m₂(v₂)²
= m₁(v₁)² / 1.6m₁(v₁/1.6)²
= 1.6
K.E₁ = 1.6K.E₂
5900 = K.E₁ + K.E₂
5900 = 1.6K.E₂ + K.E₂
K.E₂ = 2270 J for larger piece
K.E₁ = 3200 J for smaller piece

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Explanation:

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  Radius of moon, r = 1.73 × 10⁶ m

  Substituting

                  g=\frac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{(1.73\times 10^{6})^2}=1.64m/s^2

Acceleration due to gravity on the surface of the Moon is 1.64 m/s²

b) Acceleration due to gravity

                  g=\frac{GM}{r^2}

         G = 6.67 × 10⁻¹¹ m² kg⁻¹ s⁻²

  Mass of Mars, M = 6.418 × 10²³ kg

  Radius of Mars, r = 3.38 × 10⁶ m

  Substituting

                  g=\frac{6.67\times 10^{-11}\times 6.418\times 10^{23}}{(3.38\times 10^{6})^2}=3.75m/s^2

Acceleration due to gravity on the surface of the Mars is 3.75 m/s²

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A machine has a mechanical advantage of 5. What force should be applied to the machine to make it apply 3000 N to an object?
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6 0
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Answer:

1) A time-varying magnetic field will produce an electric field.

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Explanation:

1) A time-varying magnetic field will produce an electric field.

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