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kap26 [50]
3 years ago
10

Can a vector be shorter than one of its components

Physics
1 answer:
Sauron [17]3 years ago
3 0
It can never be shorter than a component - magnitude of avector is the square root of the sum of the components squared, and a square function never produces a negative number. However, it can be the same size as its component, if that component is the only one
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An air bubble has a volume of 2.0 cm3 when it is released by a submarine 100 m below the surface of a freshwater lake. What is t
UkoKoshka [18]

Answer:

21.35 cm^3

Explanation:

let the volume at the surface of fresh water is V.

The volume at a depth of 100 m is V' = 2 cm^3

temperature remains constant.

density of water, d = 1000 kg/m^3

Pressure at the surface of fresh water is atmospheric pressure,

P = Po = 1.013 x 10^5 N/m^2

The pressure at depth 100 m is P' = Po + hdg

P' = 1.013 \times 10^{5}+ 100 \times 1000 \times 9.8

P' = 10.813 x 10^5 N/m^2

Use the Boyle's law

P V = P' V'

1.013 \times 10^{5}\times V = 10.813 \times 10^{5}\times 2

V = 21.35 cm^3

Thus, the volume of air bubble at the surface of fresh water is 21.35 cm^3.

5 0
3 years ago
A package is dropped from an air balloon two times. In the first trial the distance between the balloon and the surface is Hand
enyata [817]

Answer:

<em>The final speed of the second package is twice as much as the final speed of the first package.</em>

Explanation:

<u>Free Fall Motion</u>

If an object is dropped in the air, it starts a vertical movement with an acceleration equal to g=9.8 m/s^2. The speed of the object after a time t is:

v=gt

And the distance traveled downwards is:

\displaystyle y=\frac{gt^2}{2}

If we know the height at which the object was dropped, we can calculate the time it takes to reach the ground by solving the last equation for t:

\displaystyle t=\sqrt{\frac{2y}{g}}

Replacing into the first equation:

\displaystyle v=g\sqrt{\frac{2y}{g}}

Rationalizing:

\displaystyle v=\sqrt{2gy}

Let's call v1 the final speed of the package dropped from a height H. Thus:

\displaystyle v_1=\sqrt{2gH}

Let v2 be the final speed of the package dropped from a height 4H. Thus:

\displaystyle v_2=\sqrt{2g(4H)}

Taking out the square root of 4:

\displaystyle v_2=2\sqrt{2gH}

Dividing v2/v1 we can compare the final speeds:

\displaystyle v_2/v_1=\frac{2\sqrt{2gH}}{\sqrt{2gH}}

Simplifying:

\displaystyle v_2/v_1=2

The final speed of the second package is twice as much as the final speed of the first package.

5 0
3 years ago
What 2 events increase power output
OverLord2011 [107]
P=I*E
Power (P)
Voltage (E)
Amps (I)

7 0
3 years ago
Read 2 more answers
two forces x and y are acting at 120 degrees to each other, if the magnitude are 8N and 10N respectively determine their resulta
Ber [7]

The resultant force of both forces is 15.62 N.

<h3 /><h3>What is resultant?</h3>

The Resultant of forces is a single force obtained when two or more forces are combined.

To calculate the resultant of the force, we use the formula below.

Formula:

  • R = √[a²+b²-2abcos∅]..................... Equation 1

Where:

  • R = Resultant of the forces.
  • ∅ = Angle between both forces

From the question,

Given:

  • a = 8 N
  • b = 10 N

Substitute these values into equation 1

  • R = √[8²+10²-2×8×10cos120°]
  • R = √[64+100-160cos120°]
  • R =√ [164-160(-0.5)]
  • R = √[164+80]
  • R = √(244)
  • R = 15.62 N

Hence, the resultant force of both forces is 15.62 N.

Learn more about resultant force here: brainly.com/question/25239010

#SPJ1

8 0
2 years ago
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Se define como la masa por unidad de volume
kogti [31]

Answer:

is it density

Explanation:

my bad if u get it wrong

7 0
2 years ago
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