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2 years ago

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A rock is thrown down from the top of a cliff with a velocity of 3.61 m/s (down). The cliff is 28.4 m above the ground. Determin

e the velocity of the rock just before it hits the ground.

1 answer:

Katarina [22]2 years ago

4 0

I’m not sure look it up in the internet!

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8. Three grams of Bismuth-218 decay to 0.375 grams in one hour. What is the half-

Evgen [1.6K]

Answer: 0.333 h

Explanation:

This problem can be solved using the <u>Radioactive Half Life Formula</u>:

$A=A_{o}.2^{\frac{-t}{H}}$ (1)

Where:

$A=0.375 g$ is the final amount of the material

$A_{o}=3 g$ is the initial amount of the material

$t=1 h$ is the time elapsed

$H$ is the half life of the material (the quantity we are asked to find)

Knowing this, let's substitute the values and find $h$ from (1):

$0.375 g=(3 g)2^{\frac{-1h}{H}}$ (2)

$\frac{0.375 g}{3 g}=2^{\frac{-1h}{H}}$ (3)

Applying natural logarithm in both sides:

$ln(\frac{0.375 g}{3 g})=ln(2^{\frac{-1 h}{H}})$ (4)

$-2.079=-\frac{1 h}{H}ln(2)$ (5)

Clearing $H$ :

$H=\frac{-1h}{-2.079}(0.693)$ (6)

Finally:

$h=0.333 h$ This is the half-life of the Bismuth-218 isotope

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3 years ago

Which of the following stars is likely to be the coldest? Select one: a. The white-colored star b. The orange-colored star c. Th

worty [1.4K]

The White colored star is likely to be the coldest

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2 years ago

Read 2 more answers

The carrot hangs from the ceiling by two ropes (1 and 2).

Vera_Pavlovna [14]

Answer:

The Answer is D!

Explanation:

I checked it on Khan Academy.

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2 years ago

Which of the following is true about conduction? Question 2 options: It is heat transfer through direct contact It can only occu

kramer

Answer:

through direct contact

Explanation:

took the test!

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2 years ago

Pyramid math (algebra 1)

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