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3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!

Physics

1 answer:

Alborosie3 years ago

6 0

Answer:22.22m/s

Explanation:

Answer: 22.22 m/s

Explanation:

Using the law of conservation of momentum:

Initial momentum of the system = final momentum of the system.

mu+m'u' = mv+m'v'

where u and u' are the initial velocities.

v and v' are the final velocities.

mass of bullet, m = 0.04 kg

mass of the block of wood, m' = 0.5 kg

initial velocity of bullet, u = 300 m/s

initial velocity of block, u' = 0

after collision, block and bullet would move together with velocity v

⇒0.04 kg × 300 m/s + 0 = 0.54 kg × v

⇒ v = 22.22 m/s

Thus, the bullet and the wood block move together as one object with the speed 22.2 m/s.

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3 years ago

A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the machine is not filling the jars comple

babunello [35]

Answer:

a) Null hypothesis: $\mu \geq 16$

Alternative hypothesis : $\mu$

b) $t=\frac{15.6-16}{\frac{0.3}{\sqrt{8}}}=-3.77$

$p_v =P(t_{(7)}$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

c) We can conclude that the mean is significantly less than 16 ounces at 10% of significance. so then the consumer suspect is correct.

Explanation:

Data given and notation

$\bar X=15.6$ represent the mean for the sample

$s=0.3$ represent the sample standard deviation

$n=8$ sample size

$\mu_o =16$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

Is a one tailed left test.

What are H0 and Ha for this study?

Null hypothesis: $\mu \geq 16$

Alternative hypothesis : $\mu$

The degrees of freedom on this case are:

$df=n-1=8-1=7$

Compute the test statistic

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{15.6-16}{\frac{0.3}{\sqrt{8}}}=-3.77$

Give the appropriate conclusion for the test

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(7)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

We can conclude that the mean is significantly less than 16 ounces at 10% of significance. so then the consumer suspect is correct.

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3 years ago

A rock is rolled in the sand. It starts at 5.0 m/s, moves in

Lemur [1.5K]

Answer:

magnitude of the average acceleration is 4.16 m/s²

Explanation:

given data

initial velocity u = 5 m/s

distance s = 3 m

final velocity v = 0

to find out

magnitude of the average acceleration

solution

we will apply here linear motion equation that is

v²-u² = 2×a×s ..............1

put here all these value

v is final velocity and u is initial velocity and s is distance

0²-5² = 2×a×3

a = -4.16

so magnitude of the average acceleration is 4.16 m/s²

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Answer:

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3 years ago

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Naddik [55]

Answer:

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Explanation:

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3 years ago

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