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castortr0y [4]
4 years ago
10

Show all work: A rock contains 125g of a radioactive isotope with a half-life of 150,000 years and 875g of its daughter material

. How old is the rock according to radioactive dating ?
Physics
1 answer:
Xelga [282]4 years ago
4 0

Answer:

t = 500000\,years

Explanation:

The time constant of the radioactive isotope is:

\tau = \frac{150000\,years}{\ln 2}

\tau = 216404.256\,years

The isotope decay is predicted by the following model:

\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }

\frac{125\,g}{125\,g + 875\,g} = e^{-\frac{t}{216404.256\,years} }

0.125 = e^{-\frac{t}{216404.256} }

The age of the rock is determined after algebraic handling:

\ln 0.125 = -\frac{t}{216404.256}

t = 500000\,years

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Two coconuts fall freely from rest at the same time, one from a tree twice as high as the other. If the coconut from the shorter
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Wee can use here kinematics

as we know that

y = v*t + \frac{1}{2} at^2

for shorter tree we know that

y = 0 + \frac{1}{2}*9.8 * 2^2

y = 19.6 meter

now since we know that other tree is twice high

So height of other tree is y = 39.2 m

now again by above equation

y = v*t + \frac{1}{2} at^2

39.2 = 0 + \frac{1}{2}*9.8 * t^2

t = 2.83 s

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The temperature of the liquid in a container decreases as the liquid evaporates. Use kinetic theory to explain why.
melisa1 [442]

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A horizontal uniform bar of mass 2.7 kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to t
Jlenok [28]

Answer:

14.36 N

Explanation:

T_{1} = Tension in string 1

T_{2} = Tension in string 2

m_b = mass of the bar = 2.7 kg

W_b = weight of the bar

weight of the bar is given as

W_b = m_{b} g = (2.7) (9.8) = 26.46N

m_m = mass of the bar = 1.35 kg

W_m = weight of the monkey

weight of the monkey is given as

W_m = m_{m} g = (1.35) (9.8) = 13.23N

Using equilibrium of torque about left end

W_{m} (AB) + W_{b} (AB) = T_{2} (AC)\\W_{m} (AB) + W_{b} (AB) = T_{2} (AD - CD)\\(13.23) (1.5) + (26.46)(1.5) = T_{2} (3 - 0.65)\\\\T_{2} = 25.33 N

Using equilibrium of force in vertical direction

T_{1} + T_{2} = W_{b} + W_{m}\\T_{1} + 25.33 = 26.46 + 13.23\\T_{1} = 14.36 N

7 0
3 years ago
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