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Shkiper50 [21]
3 years ago
5

A 3.1 kg dog stands on an 18 kg flatboat and is 6.1 m from the shore. He walks 2.5 m on the boat toward shore and then stops. As

suming there is no friction between the boat and the water, find how far the dog is then from the shore? The dog moves leftward; the boat moves rightward; but does the center of mass of the boat + dog system move?)
Physics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

The distance of dog from the shore is 3.97 m

Explanation:

given,

mass of the dog = 3.1 Kg

mass of the flatboat = 18 Kg

Distance from the shore = 6.1 m

dog moves on boat = 2.5 m

dog moves leftward and boat moves rightward.

If it's a frictionless system with no initial velocity, the center of mass doesn't move. Conservation of momentum, which = 0 in this case.

When dog move toward the shore a reactive force will act on the boat.

m_b x_b + m_d x_d = 0

m_b i and m_d is mass of boat and mass of dog.

x_b and x_d is distance moved by the boat and the dog.

x_b = \dfrac{m_dx_d}{m_b}

neglecting negative sign

x_b + x_d = 2.5

\dfrac{m_dx_d}{m_b} + x_d = 2.5

x_d = \dfrac{2.5}{1+\dfrac{m_d}{m_b}}

x_d = \dfrac{2.5}{1+\dfrac{3.1}{18}}

x_d = \dfrac{2.5}{1.172}

x_d = 2.133 m

The distance of dog from the shore is 6.1 – 2.133 = 3.97 m

The distance of dog from the shore is 3.97 m

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There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12
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we solve for the charge (Q)

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indicates that for the initial point d₁ = 3 mm = 0.003 m and the voltage is DV₁ = 12

         Q = \epsilon_o \  \frac{A \ \Delta V_1 }{d_1}

Now the voltage source is disconnected so the charge remains constant across the ideal capacitor.

For the second part, the condenser is separated at d₂ = 5mm = 0.005 m

         Q = \epsilon_o \  \frac{A \ \Delta V_2 }{d_2}

we match the expressions of the charge and look for the voltage

          \frac{\Delta V_1}{d_1} = \frac{\Delta V_2}{d_2}

          ΔV₂ = \frac{d_2}{d_1 } \ \Delta V_1

The third part we use the concepts of conservation of energy

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          Em₀ = U = q DV₂

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final point. Proof load on the right plate

         Em_f = K

energy is conserved

         Em₀ = em_f

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we calculate

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         K = 20 10⁻⁹ J

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Answer:

option (D)

Explanation:

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In this equation, time is not included, so it is not useful.

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Answer:

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Explanation:

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The thermal energy, Q is given by the following equation;

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Given that the graduated cylinder with more water has more mass and therefore, more water molecules, than the cylinder with less water, the cylinder with more water has more thermal energy.

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Answer:

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