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3 years ago

8

The four giant gas planets that are made primarily of lightweight elements are

1 answer:

Hoochie [10]3 years ago

8 0

D) although recent research (1990's) has shown Uranus and Neptune to be ice giants and have heavier substances.

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The force exerted by the wind on the sails of a sailboat is Fsail = 330 N north. The water exerts a force of Fkeel = 210 N east.

Elena L [17]

Answer:

The magnitude of the acceleration is $a_r = 1.50 \ m/s^2$

The direction is $\theta = 32.5 6^o$ north of east

Explanation:

From the question we are told that

The force exerted by the wind is $F_{sail} = (330 ) \ N \ north$

The force exerted by water is $F_{keel} = (210 ) \ N \ east$

The mass of the boat(+ crew) is $m_b = 260 \ kg$

Now Force is mathematically represented as

$F = ma$

Now the acceleration towards the north is mathematically represented as

$a_n = \frac{F_{sail}}{m_b}$

substituting values

$a_n = \frac{330 }{260}$

$a_n = 1.269 \ m/s^2$

Now the acceleration towards the east is mathematically represented as

$a_e = \frac{F_{keel}}{m_b }$

substituting values

$a_e = \frac{210}{260}$

$a_e =0.808 \ m/s^2$

The resultant acceleration is

$a_r = \sqrt{a_e^2 + a_n^2}$

substituting values

$a_r = \sqrt{(0.808)^2 + (1.269)^2}$

$a_r = 1.50 \ m/s^2$

The direction with reference from the north is evaluated as

Apply SOHCAHTOA

$tan \theta = \frac{a_e}{a_n}$

$\theta = tan ^{-1} [\frac{a_e}{a_n } ]$

substituting values

$\theta = tan ^{-1} [\frac{0.808}{1.269 } ]$

$\theta = tan ^{-1} [0.636 ]$

$\theta = 32.5 6^o$

5 0

4 years ago

if gas in a sealed container has a pressure of 50kpa at 300k what will the pressure be if the tempature rises to 360k

Zarrin [17]

The pressure law states that pressure is directly proportional to temperature.
p=kt where p is pressure, k is a constant, and t is temperature.

p=kt -- substitute
50000=k*300000
k=1/6
p=1/6*360000
p=60000 -- in pa not kpa

The pressure is 60kpa

3 0

3 years ago

Katie traveled southwest a distance of 4000m on a bicycle in 5400s. What is her velocity?

nlexa [21]

The correct answer would be 1.35m/s sw.

7 0

3 years ago

Helppppppppppppppppppp

hichkok12 [17]

Answer:

100 million step

Explanation:

wish it will help u

4 0

3 years ago

A type of light bulb is labeled having an average lifetime of 1000 hours. It’s reasonable to model the probability of failure of

SashulF [63]

Answer:

$0.2592 \ or \ 25.92\%$

Explanation:

The exponential density function is given as

$f(t)=\left \{ {{0} \atop {ce^{ct}}} \right\\0,t$

$\mu=\frac{1}{c}\\c=\frac{1}{\mu}\\\\=\frac{1}{1000}=0.001\\\\f(t)=0.001e^{-0.001t}$

To find probability that bulb fails with the first 300hrs, we integrate from o to 300:

$P(0\leq X\leq 300)=\int\limits^{300}_0 {f(t)} \, dt\\\\=\int\limits^{300}_0 {0.001e^{-001t}} \, dt\\ =|-e^{-0.001t}| \ 0\leq t\leq 300$

$P(0\leq X\leq 300)=-0.7408+1\\=0.2592$

Hence probability of bulb failing within 300hrs is 25.92% or 0.2592

3 0

3 years ago