If the barge is made out of 4.8- cm -thick steel plate on each of its four sides and its bottom, what mass of coal can the barge carry in freshwater without sinking

The resulting positive amplitude of the two waves after the superimposition is 4.30 cm.

The amplitude of the waves is the maximum displacement of the wave. This is the vertical position of the wave measured from the zero origin.

After the superimposition of the two similar waves, the resulting amplitude will be less than the initial amplitude of the wave with the highest vertical height since the superimposition creates destructive interference.

Resulting amplitude of the two waves is calculated as;

A = 5.4 cm - 1.10 cm

A = 4.30 cm

Thus, the resulting positive amplitude of the two waves after the superimposition is 4.30 cm.

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Answer:

M a = Fc -M g

Use up as positive - a is the acceleration upwards

Fc = M (a + g)       force exerted by chair

Fc = 19.8 M m/s^2      where M is the mass of the astronaut

The force exerted by the astronaut accelerating straight up with an acceleration of 10 m/s² is m/5 Newton.

If you want to accelerate a body of mass 'm' with acceleration 'a' than a force of magnitude given by the product of mass and acceleration is needed.

Given is an astronaut accelerating straight up with an acceleration of 10 m/s².

Since the astronaut is moving in upward direction, the resultant resultant force is in upward direction. Now, assume that the force exerted by the astronaut on the chair is F[A].  The normal reaction force on the astronaut will also be same. Mathematically -

F[N] = F[A]

Now, we can write the resultant normal reaction force as -

ma - mg = F[N]

F[N] = m(a - g)

F[N] = m(10 - 9.8)

F[N] = m(0.2)

F[N] = m/5

F[A] = F[N] = m/5

where m is the mass of astronaut.

Therefore, the force exerted by the astronaut accelerating straight up with an acceleration of 10 m/s² is m/5 Newton.

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Answer:

seismic wave

Explanation:

Answer:

Q = N e     where N e is the number of electrons required to produce charge Q

N = Q / e = 3.5E6 C / 1.6E-19C = 2.2E25   = 2.2 X 10^25    electrons

Answer:

3.5 million C

Explanation:

Answer:

Inertia

Explanation:

Inertia is also the reason that it is harder to stop a loaded truck going 55 miles per hour than to stop a car going 55 miles per hour. The truck has more mass resisting the change of its motion and therefore, more inertia.

The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second.

In this question we have a system formed by three elements, the element AB experiments a pure rotation at constant velocity, the element BD has a general plane motion, which is a combination of rotation and traslation, and the ruff experiments a pure translation.

To determine the linear acceleration of the collar ([tex]a_{D}[/tex]), in inches per square second, we need to determine first all linear and angular velocities ([tex]v_{D}[/tex], [tex]\omega_{BD}[/tex]), in inches per second and radians per second, respectively, and later all linear and angular accelerations ([tex]a_{D}[/tex], [tex]\alpha_{BD}[/tex]), the latter in radians per square second.

By definitions of relative velocity and relative acceleration we build the following two systems of linear equations:

[tex]v_{D} + \omega_{BD}\cdot r_{BD}\cdot \sin \gamma = -\omega_{AB}\cdot r_{AB}\cdot \sin \theta[/tex]   (1)

[tex]\omega_{BD}\cdot r_{BD}\cdot \cos \gamma = -\omega_{AB}\cdot r_{AB}\cdot \cos \theta[/tex]   (2)

[tex]a_{D}+\alpha_{BD}\cdot \sin \gamma = -\omega_{AB}^{2}\cdot r_{AB}\cdot \cos \theta -\alpha_{AB}\cdot r_{AB}\cdot \sin \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \cos \gamma[/tex]   (3)

[tex]-\alpha_{BD}\cdot r_{BD}\cdot \cos \gamma = - \omega_{AB}^{2}\cdot r_{AB}\cdot \sin \theta + \alpha_{AB}\cdot r_{AB}\cdot \cos \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \sin \gamma[/tex]   (4)

If we know that [tex]\theta = 60^{\circ}[/tex], [tex]\gamma = 19.889^{\circ}[/tex], [tex]r_{BD} = 10\,in[/tex], [tex]\omega_{AB} = 16\,\frac{rad}{s}[/tex], [tex]r_{AB} = 3\,in[/tex] and [tex]\alpha_{AB} = 0\,\frac{rad}{s^{2}}[/tex], then the solution of the systems of linear equations are, respectively:

[tex]v_{D}+3.402\cdot \omega_{BD} = -41.569[/tex]   (1)

[tex]9.404\cdot \omega_{BD} = -24[/tex]   (2)

[tex]v_{D} = -32.887\,\frac{in}{s}[/tex], [tex]\omega_{BD} = -2.552\,\frac{rad}{s}[/tex]

[tex]a_{D}+3.402\cdot \alpha_{BD} = -445.242[/tex]   (3)

[tex]-9.404\cdot \alpha_{BD} = -687.264[/tex]   (4)

[tex]a_{D} = -693.867\,\frac{in}{s^{2}}[/tex], [tex]\alpha_{BD} = 73.082\,\frac{rad}{s^{2}}[/tex]

The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second. [tex]\blacksquare[/tex]

The statement is incomplete and figure is missing, complete form is introduced below:

Arm AB has a constant angular velocity of 16 radians per second counterclockwise. At the instant when θ = 60°, determine the acceleration of collar D.

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Answer:

the same as the initial launch velocity (7.59 m/s)

Explanation:

vf^2 = vi^2 + 2ad

d = displacement = 0, so vf^2 = vi^2, so vf = vi = 7.59m/s

In a vacuum all colors of light travel with same speed and this is the reason a white ray travels through the vacuum without going through any dispersion..

Speed of light is the distance per time light waves propagate through different materials. The value for the speed of light in a vacuum is now defined as exactly 299,792,458 metres per second.

Therefore, In a vacuum all colors of light travel with same speed and this is the reason a white ray travels through the vacuum without going through any dispersion

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The smooth muscle in the wall of the bladder when stretched triggers the micturition reflex (urination).

This is defined as a lined layers of muscle tissue that stretch to hold urine in organisms.

In older people the elasticity of the bladder is reduced which is why it makes it harder for them to hold urine for a long time.

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Answer:

a thunder

Explanation:

It's because the difference in speed of light and sound

So we hear thunder later

Answer:

C

Explanation:

Therefore, Thunder Follows The Easiest Part. And it is not (A) because Thunder Follows A Lightening Not Vice Versa.

Answer:

Rolling friction

Explanation:

Option B is correct

The destructive interference formula for diffraction grating problems is [tex]d sin \theta = (n+\frac{1}{2})\lambda[/tex].

Destructive interference happens when the maxima of two waves are 180° out of phase a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.

The formula for brighter patches resulting from constructive interference and darker patches resulting from destructive interference in a diffraction grating is:

[tex]\rm d sin \theta = n \lambda[/tex]

The grating spacing is denoted by d, the angle of light is denoted by a the fringe order is denoted by n, and the wavelength is denoted by [tex]\rm \lambda[/tex].

The destructive interference formula is now based on the fact that destructive interference occurs between the fringes.

Hence the destructive interference formula for diffraction grating problems is [tex]d sin \theta = (n+\frac{1}{2})\lambda[/tex].

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Answer:

A. dsin  =

Explanation:

Answer:

the reaserch I did says that d is the correct answer

Answer:

is 200 J

Explanation:

hope this is the right answer

Hi there!

We can use the work-energy theorem and apply it to this situation.

At the top of the ramp, the ball only has gravitational potential energy, and at the bottom of the ramp, the ball has BOTH translational and rotational kinetic energy.

We must use the following equations:
[tex]GPE = mgh \\KE_T = \frac{1}{2}mv^2\\\\KE_R = \frac{1}{2}I \omega^2[/tex]

m = mass of sphere (kg)
g = acceleration due to gravity (m/s²)

h = height of ramp (m)

v = final velocity (m/s)
I = Moment of Inertia (kgm²)

ω = angular velocity (rad/sec)

Since:
[tex]E_i = E_f\\\\mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega ^2[/tex]

In order to make things easier, since the ball is not slipping, we can relate angular velocity to translational velocity:
[tex]\omega = \frac{v}{r}[/tex]

Also, recall the equation for the moment of inertia for a solid sphere:
[tex]I = \frac{2}{5}mr^2[/tex]

We can use these to simply our equation:
[tex]KE_R = \frac{1}{2}(\frac{2}{5}mr^2)(\frac{v}{r})^2 = \frac{1}{5}mv^2[/tex]

Now, we can rewrite the equation and solve for 'v'.

[tex]mgh = \frac{1}{2}mv^2 + \frac{1}{5}mv^2\\\\mgh = \frac{7}{10}mv^2\\\\v = \sqrt{\frac{10gh}{7}} = \sqrt{\frac{10(9.8)(2.2 - 1.87)}{7}} = 2.149\frac{m}{s}[/tex]

a)

We can begin by solving for the time taken for the ball to land on the ground. The ball only has a horizontal velocity, so this is essentially a free-fall situation. Use the rearranged kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2(1.87)}{9.8}} = .6178 s[/tex]

Now, use the following equation to solve for horizontal distance given horizontal velocity and time:
[tex]d_x = v_x t\\\\d_x = 2.149 * .6178 = \boxed{1.328 m}[/tex]

b)
We can use the previously-stated relationship between translational and angular velocity to solve for the angular velocity.

[tex]\omega = \frac{v}{r}[/tex]
It is given that the diameter is 0.14 m, so the radius is 1/2th the diameter, or 0.07 m.

Solve for the angular velocity:
[tex]\omega = \frac{2.149}{0.07} = 30.706 \frac{rad}{sec}}[/tex]

Using the above fall time and dimensional analysis to convert from rad/sec to revolutions, we can solve for the # of revolutions made by the ball:
[tex]\frac{30.706rad}{sec} * .6178 sec * \frac{1 rev}{2\pi rad} = \boxed{3.019 rev}[/tex]

The magnitude of the work done by force experience by the object is (2a²b + 3b²)J.

The magnitude of the work done by force experience by the object is calculated as follows;

W = f.d

where;

The work done by the force is determined from the dot product of the force and the displacement of the object.

F = (2xyi + 3yj).(a + b)

W = (2abi + 3bj).(ai + bj)

W = (2a²b + 3b²)J

Thus, the magnitude of the work done by force experience by the object is (2a²b + 3b²)J.

The complete question is below:

The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis.

How much work does the force do?

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The total work done  for an object moving in the xy-plane is subjected to the force f⃗ =(2xyı^ 3yȷ^)n, where x and y are in m is 3ab N.

Work done is the force applied on a body to move it over a distance. Work done for inclined plane can be given as,

[tex]W=F\times d[/tex]

Here (F) is the magnitude of force and (d) is the distance traveled.

An object moving in the xy-plane is subjected to the force

[tex]\vec f =(2xy\hat i +3y\hat j)[/tex]

Here, x and y are in meter.

The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis.

For the first part, the particle moves along x-axis. It moves zero along x-axis. Thus, the force, as y=0.

[tex]W_1=\int\limits^a_0 {2xy\hat i} \, dx =0\\[/tex]

Now, when the object moves along y-axis,

[tex]W_2=\int\limits^a_0 {3y\hat j} \, dx \\W_2=3\int\limits^b_0 {y\hat j} \, dx\\W_2=3y(a-0)\\W_2=3ba\\W_2=3ab[/tex]

Total work done,

[tex]W=0+3ab\\W=3ab\rm\; N[/tex]

Thus, the total work done  for an object moving in the xy-plane is subjected to the force f⃗ =(2xyı^ 3yȷ^)n, where x and y are in m is 3ab N.

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The wavelength of the radio waves emitted by the radio galaxies which have twin radio jets that emanate from a central core is determined as 15 m.

The wavelength of the radio waves is the distance traveled by the radio waves. The magnitude of the wavelength is determined from the ratio of speed of radio waves to the frequency of the radio waves.

v = fλ

where;

Radio wave is an example of electromagnetic radiation, and it travels at the same speed as light (3 x 10⁸ m/s).

λ = v/f

λ = (3 x 10⁸ ) / (20 x 10⁶)

λ = 15 m

Thus, the wavelength of the radio waves emitted by the galaxy is 15 m.

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Answer:

B. where tectonic plates meet

Explanation:

Most volcanoes occur near tectonic plate boundaries. For example, a large amount are found on the Ring of Firez connecting several plates.

Answer:

the answer is white they combine to give white

Answer:

they are primary colors of light.

(pls don't delete this answer because I am just trying to help)

Answer:

Changing nuclear energy to radiant energy

Explanation:

   Conversely, potential energy is a type of energy stored in an object, which can be converted to kinetic energy.

   Nuclear energy is a type of potential energy because this energy is stored in the atomic nucleus.

In conclusion, changing nuclear energy to radiant energy is an example of transforming potential energy into kinetic energy.

Answer:

if you stand still, that's potential energy, and if you move that's kinetic energy.

Explanation:

When standing still, you aren't moving, which the potential energy now is enact, but if you move a muscle, even the tiniest one, it will cause a transformation into kinetic energy.

Answer:

solar

Explanation:

this is a form of solar panel

Torque:-

[tex]\\ \rm\Rrightarrow \tau =14(0.018)[/tex]

[tex]\\ \rm\Rrightarrow \tau=0.25Nm[/tex]

option B

Earth would be an icy wasteland if greenhouse gases were not present. Greenhouse gases keep our planet livable by retaining some of the Earth's heat energy, preventing it from escaping into space. The greenhouse effect refers to the trapping of heat.

Explanation:

velocity = frequency × wave length

velocity = 440 × 0.78

velocity = 343 m/sec

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One source error is deliberate deception and one of its solutions is having a lie scale inserted into the assessment.]

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.

When a person is completely aware of what they are doing, they are engaging in deception. They are concealing the truth and making a deliberate decision to tell someone something that is false.

When describing a magic trick, such as a sleight of hand, the term deception can also be used.

When there are repetitive questions that ask the same questions over and over with different formats to check if the responses are constant over time, lie scales are utilized.

Hence one source error is deliberate deception and one of its solutions is having a lie scale inserted into the assessment.

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Answer:

the answer is. C.

Explanation:

[tex] 0.36 \times 30 = 10.8[/tex]

the solution