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3 years ago

10

A small boat is moving at a velocity of 3.35m/s when it is accelerated by a river current perpendicular to the initial direction

of motion. The current accelerates the boat at 0.750m/s^2. what will the new velocity (magnitude and direction) of the boat be after 5 s?

1 answer:

mr_godi [17]3 years ago

7 0

Answer:

v =7.1 m/s

Explanation:

Given that

u = 3.35 m/s

t= 5 s

a= 0.75 m/s²

The final velocity = v

We know v = u +at

v=final velocity

u=initial velocity

Now by putting the values in the above equation

v = 3.35 + 0.75 x 5 m/s

v =7.1 m/s

Therefore the final velocity will be 7.1 m/s

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A spring has a natural length of 0.5 m and was stretched by 0.02 m. if the spring had a resultant energy of 0.5 j what is the sp

Anna71 [15]

$\textbf{2500 }\dfrac{\textbf{kg}}{\textbf{s}^{\textbf{2}}}$

Explanation:

Natural length of a spring is $0.5\text{ }m$ . The spring is streched by $0.02\text{ }m$ . The resultant energy of the spring is $0.5\text{ }J$ .

The potential energy of an ideal spring with spring constant $k$ and elongation $x$ is given by $\dfrac{1}{2}kx^{2}$ .

So, in the current problem, the natural length of the spring is not required to find the spring constant $k$ .

$\text{Potential Energy in the spring = }\dfrac{1}{2}kx^{2}\\0.5\text{ }J\text{ }=\text{ }\dfrac{1}{2}k(0.02\text{ }m)^{2}\\k\times0.0004\text{ }m^{2}\text{ }=\text{ }1\text{ }J\text{ }=\text{ }1\text{ }kg\frac{m^{2}}{s^{2}}\\k\text{ }=\text{ }\dfrac{1\text{ }kg\dfrac{m^{2}}{s^{2}}}{0.0004\text{ }m^{2}}\text{ }=\text{ }2500\text{ }\frac{kg}{s^{2}}$

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4 years ago

Why are the valence electrons of carbon important?

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Carbon is an important compound on the earth. This is really visible in Carbon Dioxide. The valence electrons are important because they allow many different types of bonds to occur.

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3 years ago

Light travels 186,282 miles in one second. A light year is the distance light travels in one year. It is about 4.3 light years t

deff fn [24]

Answer:

$2.5278035226\times 10^{13}\ miles$

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Explanation:

$1\ ly=186282\times 365.25\times 24\times 60\times 60=5.8786128432\times 10^{12}\ mi$

$4.3\ ly=4.3\times 5.8786128432\times 10^{12}=2.5278035226\times 10^{13}\ miles$

The distance is $2.5278035226\times 10^{13}\ miles$

$2000\ miles=0.01\ in$

$2.5278035226\times 10^{13}\times \dfrac{1}{2000}=1.2639017613\times 10^{10}\ LA\ to\ NY$

Converting to inches

$1.2639017613\times 10^{10}\times 0.01=126390176.13\ in/LA\ to\ NY$

Converting to miles

$126390176.13\times\dfrac{1}{5280\times 12}=1994.7944465\ inches/LA\ to\ NY$

The distance is 1994.7944465 miles

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The distance is 46390568.5227 miles

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4 years ago

The area of the effort and load of the Piston of a hydrolic are 0.5 and 5m respectively. If a force of 100 Newton is applied on

Yanka [14]

Answer:

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Cross multiply

F1A2=F2A1

Given that

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Fl=? Force if load

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Then applying pascal

Fl/Al=Fe/Ae

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4 years ago

The current through a 10 ohm resistor is 1.2 amperes.What is the potential difference across the resistor?

Natalija [7]

<u>Answer</u>: The potential difference across the resistor is 12 volts.

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Putting values in above equation, we get:

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3 years ago