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siniylev [52]
3 years ago
10

A barge floating in fresh water (rho = 1000 kg/m^3) is shaped like a hollow rectangular prism with base area A = 550 m^2 and hei

ght H = 2.0 m. When empty the bottom of the barge is located H0 = 0.55 m below the surface of the water. When fully loaded with coal the bottom of the barge is located H1 = 1.35 m below the surface.
Randomized Variables
A = 750 m²
H₀ = 0.55 m
Hᵢ = -1.1 m
(A) Write an equation for the buoyant force on the empty barge in terms of the known data.
(B) Determine the mass of the barge in kilograms.
Physics
1 answer:
patriot [66]3 years ago
6 0

Answer:

Explanation:

A )

When empty , H₀ length of barge is inside water .

volume of barge inside water = A x H₀

Weight of displaced water = AH₀ x ρ x g

Buoyant force = weight of displaced water = AH₀ ρg

B)

It should balance the weight of barge

Weight = buoyant force

Weight = AH₀ ρg

mass of barge = weight / g

weight / g = AH₀ ρ

= 550 x .55 x 1000

= 302500 kg

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Given: g = 9.8 m/s 2 . A small glass of water is placed on carousel inside a microwave oven, at a radius 6.5 cm from the center.
pashok25 [27]

Answer:

0.17 degrees

Explanation:

From the question we are given the following:

acceleration due to gravity = 9.8 \frac{m}{s^{2} }

radius (r) = 6.5 cm = 0.065 m

time (s) = 9.3 s

angle = ?

  • we first have to calculate the distance the water moves, and this is the circumference of the microwave

         circumference = 2 x π x r = 2 x π x 0.065 = 0.408 m

  • Now we find the speed with which it moves at

            speed = \frac{distance}{time}

                         =  \frac{o.408}{9.3} = 0.044

  • The next step is to find the centripetal acceleration

         a = \frac{v^{2} }{r}

              = \frac{0.044^{2} }{0.065} = 0.03

being a vector quantity, acceleration has direction, the centripetal acceleration is the x component while the y component would be the acceleration due to gravity (g)

A = 0.03 x + 9.8 y

to find the angle we can apply tan θ = \frac{ 0.03 }{9.8

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7 0
2 years ago
A 22 kg ball has 334 J of kinetic energy. How fast is the girl running
Dmitry [639]

5.5m/s

Explanation:

Given parameters:

Mass of ball = 22kg

Kinetic energy  = 334J

Unknown:

Velocity of the girl  = ?

Solution:

Kinetic energy is the energy possessed by a moving body. It is the energy due to the motion of a body.

It is mathematically expressed as;

    K.E = \frac{1}{2}  m v^{2}

 Input the values;

   334 = \frac{1}{2} x 22 x v²

       v² = \frac{334}{11}

      v² = 30.4

       v = √30.4 = 5.5m/s

         

learn more:

Kinetic energy brainly.com/question/6536722

#learnwithBrainly

6 0
3 years ago
List 3 pieces of evidence for the Earth’s spherical shape
KATRIN_1 [288]

Answer:

1.time zones

2.The coriolis effect

3. triangles

Explanation:

1. day and night happen at different times at different places; it's always day somewhere and night another.

2. the coriolis effect means freely moving things (like cannonballs or hurricane  winds) are deflected to the right - but only if your north of the equator if you're  south of the equator they're deflected left.

3. if you walk a certain distance and make three right angle you can successfully make a triangles with three 90 degree angles which is impossible on a flat surface.

3 0
3 years ago
A tuning fork vibrates at 15,660 oscillations every minute. What is the period (in seconds) of one back and forth vibration of t
Ierofanga [76]

<u>We are given:</u>

The tuning fork vibrates at 15660 oscillations per minute

<u>Period of one back-and forth movement:</u>

the given data can be rewritten as:

1 minute / 15660 oscillations

60 seconds / 15660 oscillations          <em>(1 minute  = 60 seconds)</em>

<em>dividing the values</em>

0.0038 seconds / Oscillation

Therefore, one back and forth vibration takes 0.0038 seconds

4 0
3 years ago
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