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2 years ago

A steel ball is traveling through water with a speed of x meters per second, where x is positive the drag force, F

Mathematics

1 answer:

frozen [14]2 years ago

3 0

Answer:

0.032

Step-by-step explanation:

The drag force is described as the force experienced by an object due to movement through a liquid. In this case it is water. The equation used for drag force F is:

$F=0.5pu^2$

the density of water is p=1000 kg/m³. We know that F=0.5 N.

$0.5=0.5\cdot{1000}u^2$

$u=\sqrt{0.001}$

$u=0.031$

The speed is 0.032 m/s

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2 years ago

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2 years ago

Ramon is playing a game in which he must pull two blocks out of a bag containing red and yellow blocks. He cannot look, and he c

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A) $\frac{x(x+4)}{(2x+4)(2x+3)}$
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Explanation
A) Let x = the number of yellow blocks. Then x+4 = the number of red blocks, and x+x+4=2x+4 is the total number of blocks.

The probability of choosing a red block first would be
$\frac{x+4}{2x+4}$
since there are x+4 red blocks out of 2x+4 total blocks.

The probability of choosing a yellow block after the red block would be
$\frac{x}{2x+4-1}=\frac{x}{2x+3}$
since there are x yellow blocks, and after 1 is chosen, there are 2x+3 total blocks remaining.

This gives the total probability of
$\frac{x+4}{2x+4}\times \frac{x}{2x+3}=\frac{x(x+4)}{(2x+4)(2x+3)}$

B) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a red block first would be 10/16, and the probability of getting a yellow block after the red block would be 6/15. Together this gives us
10/16(6/15) = 60/240 = 1/4 = 0.25 = 25%

C) If there are 6 yellow blocks, there are 6+4=10 red blocks, and 10+6=16 total blocks.
The probability of getting a yellow block first is 6/16, and the probability of getting a second yellow block after the first one is 5/15. Together this gives us
6/16(5/15) = 30/240 = 1/8 = 0.125 = 12.5%

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2 years ago