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3 years ago

Calculate the speed of a 2-kg ball that has momentum of 10 kg•m/s

1 answer:

7 0

The formula for momentum is:
M=Mass*Velocity

From this formula we can derive the formula for velocity:

V=Momentum/Mass

We already know momentum (10 kg m/s) and mass (2 kg). Let's plug in the numbers into the formula:

V=10/2
V=5 m/s

You might be interested in

Find the Unit Rate

Eduardwww [97]

Answer:

1) $8.7\ \frac{meters}{hour}$

2) $1.92\ \frac{points}{game}$

3) $1.25\ \frac{strikeouts}{inning}$

4) $1.5*10^{-5}\ \frac{error}{piece}$

5) $33.40\ \frac{points}{career\ playoff\ game}$

Step-by-step explanation:

1) Convert mixed numbers to decimal numbers dividing the numerator by the denominator and adding the result to Whole number part:

$21+0.75=21.75\\\\2+0.5=2.5$

The unit rate is:

$Unit\ rate=\frac{21.75\ meters}{2.5\ hour}\\\\Unit\ rate=8.7\ \frac{meters}{hour}$

2) Divide 2,857 points by 1,487 games:

$Unit\ rate=\frac{2,857 \ points}{1,487\ games}\\\\Unit\ rate=1.92\ \frac{points}{game}$

3) Divide 255 strikeouts by 204 innings:

$Unit\ rate=\frac{255\ strikeouts}{204\ innings}\\\\Unit\ rate=1.25\ \frac{strikeouts}{inning}$

4) Divide 15 errors by 1,000,000 pieces:

$Unit\ rate=\frac{15\ errors}{1,000,000\ pieces}\\\\Unit\ rate=1.5*10^{-5}\ \frac{error}{piece}$

5) Divide 5,979 points by 179 career playoff games:

$Unit\ rate=\frac{5,979\ points}{179\ career\ playoff\ games}\\\\Unit\ rate=33.40\ \frac{points}{career\ playoff\ games}$

7 0

3 years ago

Directions: Estimate the sum or difference using front-end estimation.

poizon [28]

Answer: 1) 97 – 39 2) 812,344 – 187,675 3) 321 + 79. Directions: Estimate the product using front end estimation. 4) 315 x 821 5) 562 x 791

Step-by-step explanation:hope i helped

6 0

3 years ago

The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

Now we have everything in order to replace into formula (1):

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

8 0

3 years ago

A young lady started working at In N Out Burger:

kogti [31]

Answer:

Step-by-step explanation:

6. 13/hour

7. R=income/hours worked so 221/17=13. Not sure if that is what they are asking for.

8. Not sure. Is it $13/hour?

9. still guessing but the constant is $13/hour so to determine how many hours need to be worked to reach $1000, you divide. $1000/13=Approximately 77 hours.

5 0

3 years ago

Write an expression that will have a product less than both factors.

anzhelika [568]

$-2 * 3 = -6


-6 \ \textless \ -2 \ \textless \ 3$

6 0

3 years ago

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