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natita [175]
3 years ago
7

A baseball player slides into third base with an initial speed of 8.55 m/s. If the coefficient of kinetic friction between the p

layer and the ground is 0.45, how far does the player slide before coming to rest?
Mathematics
1 answer:
Julli [10]3 years ago
8 0

<span>Vi=8.55m/s

</span><span><span>Ff</span>=<span>Uk</span>mg=0.45m(9.8m/<span>s2</span>)</span>
Calculate the acceleration (which will be negative since it's due to the force of friction): <span>
a=<span>Fm</span></span><span>a=<span><span>(0.45)(9.8m/<span>s2</span>)m</span>m</span></span><span>a=4.41m/<span>s2</span></span>
Time to stop:<span>t=<span><span>8.55m/s</span><span>4.41m/<span>s2</span></span></span>=1.94s</span>
Now see how far they go in 1.94s with an acceleration of -4.41m/s^2:<span>x=<span>V0</span>t+<span>12</span>a<span>t2</span></span><span>x=(8.55m/s)(1.94s)+<span>12</span>(−4.41m/<span>s2</span>)(1.94s<span>)2</span>=8.29m</span>

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The perimeter of a square is to be between 14 and 72 feet, inclusively. Find all possible values for the length of its sides. (&
xxMikexx [17]
We know that the perimeter is the all the sides added up together. Generally, you have p = 2l+2w, where l is length and w is width.

For a square, all sides are of the same length, so you can write p=4x, where x is any side.

If the smallest perimeter is 14, then 14 = 4x, so x is 3.5. If the largest perimeter is 72, then 72 = 4x, so x is 18.

Therefore, you have 3.5 ≤ x ≤ 18.
3 0
3 years ago
Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability tha
Rainbow [258]

Answer:

P(x>99)= 0.468

Step-by-step explanation:

From the question we are told that:

Sample size 157

Sample mean

\=x =np

\=x =157*0.56

\=x = 87.92

Generally the equation for Standard deviation is mathematically given by

\sigma=\sqrt{npq}

\sigma=\sqrt{157*0.56*0.44}

\sigma =6.22

Therefore

P(x>99)=P(z>(\frac{99.5-87.92)}{6.22})

P(x>99)=P(z>1.86)

P(x>99)= 0.468

8 0
3 years ago
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know t
Marina86 [1]

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

7 0
3 years ago
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