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Harrizon [31]
3 years ago
13

A 0.34 kg ball is attached to the end of a cord of length 1.1 m. The ball is whirled in a circular path in a horizontal plane. T

he cord can withstand a maximum tension of 51.1 N before it breaks. What is the maximum speed the ball can have without the cord breaking?
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

12.86 m/s

Step-by-step explanation:

Centripetal acceleartion formula:

F=m.(\frac{v^{2} }{r})\\

v=\sqrt{(\frac{F.r}{m}) }\\

v = \sqrt{\frac{51.1 N * 1.1 m}{0.34 kg} } \\

v = 12.86 \frac{m}{s\\}\\

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OLEGan [10]

Answer:

A.  y = 3x; 30 feet

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The person travels 75 feet in 25 seconds, meaning that he will travel 3 feet per second.

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7 0
4 years ago
Sara bought a pair of shoes that were $64 but were on sale for $46. Sales tax is 6%. How much did she pay for the shoes?
babymother [125]

Answer:

$48.76

Step-by-step explanation:

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3 years ago
Ask Your Teacher The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particula
Georgia [21]

Answer:

The level is L = 0.084

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.08, \sigma = 0.01, n = 36, s = \frac{0.01}{\sqrt{36}} = 0.0017

What is the level L such that the probability that the average NOX level x for the fleet is greater than L is only 0.01?

This is X when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.325.

Z = \frac{X - \mu}{\sigma}

By the Central limit theorem

Z = \frac{X - \mu}{s}

2.325 = \frac{X - 0.08}{0.0017}

X - 0.08 = 2.325*0.0017

X = 0.084

The level is L = 0.084

4 0
4 years ago
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