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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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When water vapor is cooled it three forms into water droplets why does this represent a conservation in mass
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In the conservation of mass, mass is never created or destroyed in chemical reactions in the same way water is not created or destroyed it is only transferred from one form to another and its mass is always conserved.
8 0
3 years ago
You raise a bucket of water from the bottom of a well that is 12 m deep. the mass of the bucket and the water is 5.00 kg, and it
MArishka [77]
Given: Mass m = 5.00 Kg;    Height h = 12 m;    Time t = 15 s

Required: Power P = ?

Formula: P = Fd/t  = mgh/t

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4 0
3 years ago
A 0.83-kg block is hung from and stretches a spring that is attached to the ceiling. A second block is attached to the first one
vodomira [7]

Answer:

1.66 kg

Explanation:

Given that a 0.83-kg block is hung from and stretches a spring that is attached to the ceiling.

From Hook's law

F = Ke

But F = mg

Substitute mg for force in the Hook's law

Mg = ke

0.83 × 9.8 = ke

Make K the subject of formula

8.134 = Ke

K = 8.134 /e

Given that a second block is attached to the first one, and the amount that the spring stretches from its unstretched length triples.

That is

(0.83 + M) × 9.8 = K (3e)

Substitutes K into the above equation

(0.83 + M) × 9.8 = 8.134 / e (3e)

The e will cancel out

(0.83 + M) × 9.8 = 24.402

0.83 + M = 24.402/9.8

0.83 + M = 2.49

M = 2.49 - 0.83

M = 1.66 kg

Therefore, the mass of the second block is 1.66kg

6 0
3 years ago
16. What type of lens bends light inwards?<br> concave<br> convex
GrogVix [38]

Answer:

convex lens because it makes parallel light rays passing through it bends inwards and meets convex at a spot just beyond the lens known as the focal point

7 0
3 years ago
You are trying to determine the specific gravity of an unknown liquid. If m is the mass of a solid object, mL is the object's ap
Valentin [98]

Answer: S. G = m*V1 + mL*V2 + mA*V3 - m*V1

Explanation:

m = mass of solid object

mL = Object Apparent mass in an unknown liquid

mA = Apparent mass of object in water

V1 = volume of solid object

V2 = Volume of unknown liquid

V3 = Volume of water

4 0
4 years ago
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