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3 years ago

Un niño de 24 kilogramos se sienta en el punto ap(2,5) y otro de 12kg en el punto bp(8.12)

Physics

1 answer:

yanalaym [24]3 years ago

5 0

Answer: the equilibrium point or center of mass is (4, 7.33)

Explanation:

1) Physicial principles:

The equilibrium point is the center of mass.

Call Xc and Yc the coordinates of the center of mass (Xc, Yc), then:

Xc is given by the equation Xc = (m₁X₁ + m₂X₂) / (m₁ + m₂)

Yx is given by the equation Yc = (m₁Y₁ + m₂Y₂) / (m₁ + m₂)

2) Data:

m₁ = 24 kg
X₁ = 2
Y₁ = 5
m₂ = 12 kg
X₂ = 8
Y₂ = 12

3) Solution:

Xc = (m₁X₁ + m₂X₂) / (m₁ + m₂) = (24×2 + 12×8) / (24 + 12) = 4

Yc = (m₁Y₁ + m₂Y₂) / (m₁ + m₂) = (24×5 + 12×12) / (24 + 12) = 7.33

Answer: the equilibrium point or center of mass is (4, 7.33)

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3 years ago

When a condenser discharges electricity, the instantaneous rate of change of the voltage is proportional to the voltage in the c

e-lub [12.9K]

Answer:

460.52 s

Explanation:

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dV/dt ∝ V

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separating the variables, we have

dV/V = kdt

integrating both sides, we have

∫dV/V = ∫kdt

㏑(V/V₀) = kt

V/V₀ = $e^{kt}$

Since the instantaneous rate of change of the voltage is -0.01 of the voltage dV/dt = -0.01V

Since dV/dt = kV

-0.01V = kV

k = -0.01

So, V/V₀ = $e^{-0.01t}$

V = V₀ $e^{-0.01t}$

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So, V = 0.1V₀

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to find the time, t it takes the voltage to decrease by 90%, we taking natural logarithm of both sides, we have

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t = -4.6052/-0.01

t = 460.52 s

3 0

3 years ago