Which of the following statements are true about sound waves? (A) The wave's motions happen perpendicular to the direction that the wave travels. (B) Sound waves are longitudinal waves. (C) Sound waves do not require a medium to travel. (D) Sound waves are transverse waves.

The two equal-mass objects will stick together and move as one object after the completely inelastic collision.

In an inelastic collision, the two objects involved stick together and move as a single object after the collision. Since the objects have equal masses and are moving towards each other at equal speeds, their momenta will be equal and opposite before the collision.

During the collision, the objects come into contact and exert forces on each other. These internal forces cause the objects to deform and redistribute their velocities. However, due to the conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision.

Since the initial momenta of the objects are equal and opposite, the final momentum of the combined object will also be zero. This means the objects will stick together and move as one object after the collision, with a common velocity. This scenario is known as a completely inelastic collision.

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The changes in gravitational potential energy of the pendulum-Earth system from the pendulum's maximum height to the position where its speed is 2.0 m/s is 78.625 J.

Given:

The mass of the object = 6.25 kg,

The height = 1.5 m.

The potential energy of an object near the Earth's surface is given by the equation:

PE = mgh

Where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height above the reference point.

Substitute the given values in the above equation:

PE_max = (6.25 kg) (9.8 m/s²) (1.5 m)

PE_max = 91.125 J

At this point, the object is moving, so the potential energy is converted to kinetic energy. The total mechanical energy remains constant throughout the motion.

KE = 0.5 × m × v²

Where KE is the kinetic energy and v is the velocity.

KE = 0.5 × (6.25 kg) × (2.0 m/s)²

KE = 12.5 J

Since the total mechanical energy remains constant, the change in potential energy is given by:

ΔPE = PE_max - KE

ΔPE = 91.125 J - 12.5 J

ΔPE = 78.625 J

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Your question is incomplete, the complete part of the question is attached to the image below.

Given, Radius of Cork ball, r = 2 cm Density of Cork ball, ρc = 1/5 ρw We know, If a solid that is lighter than a fluid is placed in the fluid, the solid will be immersed to such a depth that the weight of the solid is equal to the weight of the displaced fluid.

i.e,  ρc Vc g = ρw Vw g ρc /ρw = Vw / Vc From this we can conclude that the volume of displaced fluid is equal to the volume of the immersed object. Vw = Vc = (4/3)πr³ Volume of Cork Ball Substituting the given values

ρc/ρw = 1/5  

=>  ρw = 5ρcVc = (4/3)πr³  

=>  Vc = (4/3)π(2)³ = 32/3 π cm³Vw

= Vc => Vw = 32/3 π cm³

Now, the equation we have is,ρc Vc = ρw(πx²r - 3πx³ /3) => ρc/ρw (4/3)πr³ = πx²r - πx³= 4/3 r²x - x³/3

Using secant method to an accuracy of 3 sig figs,

F(xn-1) = 4/3 r²xn-1 - xn-1³/3

F(xn) = 4/3 r²xn - xn³/3F(xn-1) - F(xn) / (xn-1 - xn) =

f(x) = 4/3 r²x - x³/3x1 = 0.1 cm and x2 = 0.2 cm

F(x1) = 4/3 (2)²(0.1) - (0.1)³/3 = 0.03407

F(x2) = 4/3 (2)²(0.2) - (0.2)³/3 = -0.08226x2 - x1 = 0.1

F(x2) - F(x1) = -0.11633x3 = 0.2 - 0.08226/(-0.11633)

= 0.8546F(x3) = 4/3 (2)²(0.8546) - (0.8546)³/3

= -0.0000171 cm.

Therefore, the floating depth of the cork ball is 0.855 cm (approx).

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The final temperature of the water at the given conditions is 2 ⁰C.

The given parameters:

Apply the principle of conservation of energy to determine the final temperature of the water as follows;

\(Q _{cold} = Q _{warm}\\\\mc (t_i - t_f) = mc (t_f - t_i)\\\\mc(1- 0) = mc(t_f - 1)\\\\1 = t_f - 1\\\\t_f = 1+1 \\\\t_f = 2 \ ^0C\)

Thus, the final temperature of the water at the given conditions is 2 ⁰C.

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Answer:

A. a rigorously tested explanation

Explanation:

Answer:

The answer is option letter B

It moves at a constant linear speed around it. Yet, the linear velocity at any point on the blades is constantly varying and accelerating.

Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.

Most likely, you picture something racing up when you think about acceleration. But a moving thing accelerates as it slows down. A change in speed is what acceleration is, so keep that in mind. The speed of a car that is slowing down decreases.

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The wheels on a bicycle have a 10 inch radius. If the bike must travel exactly 2000 inches, the number of revolutions the wheel would make will be 31.85 revolutions.

The perimeter of the circle is called the circumference of circle.

Given, radius of the wheel = 10 inches

Diameter of the wheel = 20 inches

Length required to cover = 2000 inches

For one revolution, distance equal to the circumference moved.

1 rev = π D

1 rev = π * 20

1 rev = 62.8 inches

Number of revolutions to travel 2000 inches is 2000/62.8 = 31.85 rev

Thus, the number of revolutions required are 31.85 rev.

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A wide variety of producers, consumers, & decomposers can coexist in the ecosystem.

The variety of all living creatures on our world, known as biodiversity, has been disappearing at an alarming rate in recent years. This is largely due to human activities such changing land use, pollution, and climate change.

All living creatures and their interactions are represented by the term "biodiversity," which is short for biological diversity. Because of extinctions and the emergence of new species, biodiversity is always changing. Three types of diversity—species, genetic, and ecosystem—are frequently mentioned by scientists.

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Answer:

13.33 seconds

Explanation:

At maximum height, the equation of motion becomes:

v = u + at

Since the object was thrown vertically, the initial velocity (u) is zero and the acceleration (a) becomes the acceleration due to gravity (10 m/s2). The equation becomes:

v = at

v = 480 km/hr = 133.333 m/s

    10t = 133.333

       t = 133.333/10

           t = 13.33 seconds.

The time for the ball thrown vertically with a velocity of 480 km/hr to reach the maximum height is 13.33 seconds.

υx(t) is the x-component of the squirrel's velocity as a function of time. It represents the rate of change of the squirrel's x-position with respect to time.

To determine υx(t), the x-component of the squirrel's velocity as a function of time, you first need to know the squirrel's position function in the x-direction, which is represented as x(t). The position function could be given as a formula, or you might need to find it based on other information.

Once you have the position function x(t), you can find the x-component of the velocity by taking the derivative of x(t) with respect to time. This derivative, denoted as υx(t) or dx/dt, will give you the rate of change of the squirrel's x-position over time, indicating its velocity in the x-direction.

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Answer:

A

Explanation:

It’s a because a electrolyte reproduces

Max Planck utilized the concept of energy quantization in order to develop a model for blackbody radiation that accurately fit experimental results.

Electromagnetic waves emitted by using a blackbody are referred to as blackbody radiation. A blackbody is bodily found out through a small hole within the wall of a hollow space radiator.

The depth of blackbody radiation depends on the wavelength of the emitted radiation and the temperature T of the blackbody.

When the temperature of a black frame increases, it is discovered that the wavelength similar to most electricity changes from 0.26 μm to 0. Thirteen μm Then the ratio of the emissive power of the body at the respective temperature is.

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Estimate technique capability ratio (cp, cpk, pp, PPK) is Cp = 1.33 or greater. & Cpk price ≥ 1.33.

Cp, Cpk, Pp, and Ppk are all parameters (indices) that can help us to apprehend how our technique is working relative to the specs, or in different words, they degree how near our system is jogging to its specification limits. For necessities, we measure the process specs.

The Cp index is a fundamental indication of process capability. The Cp value is calculated using the specification limits and the same old deviation of the method. most agencies require that the method Cp = 1.33 or greater. Cp and Cpk, generally called technique functionality indices, are used to outline the ability of a technique to produce a product that meets necessities.

For stable tactics and normally distributed statistics, a Cpk price ≥ 1.33 should be executed. • For chronically unstable methods with output assembly specification and a predictable sample, a Ppk fee ≥ 1. sixty-seven have to be completed.”

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The  distance from Earth to the sun is approximately 1.5 x 10^8 kilometers.

To convert miles to kilometers, we can use the conversion factor 1 mile = 1.609344 kilometers.

So, to find the distance from Earth to the sun in kilometers, we can multiply the given distance in miles by the conversion factor:

d (km) = 9.3 x 10^7 miles x 1.609344 km/mile
d (km) = 1.496 x 10^8 km

Therefore, the distance from Earth to the sun is approximately 1.5 x 10^8 kilometers.

The closest answer choice is A) 1.5 x 10^8 km, which is the correct answer.

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A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart . The wheels have 26.4 N  force of friction against the floor

Force of friction is that force  that resists the sliding or rolling of one solid object over another

F(applied) - friction = F net

30 - fr = mass * acceleration

30 - fr  = 25.5  *  0.12  

fr = 30 - 3.06

  = 26.4 N

The wheels have 26.4 N  force of friction against the floor

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To solve this problem, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the jump is equal to the total momentum after the jump. The momentum (p) of an object is calculated as the product of its mass (m) and velocity (v):

p = m * v

Let's consider the child and the sled as a system. Before the jump, the child and the sled are moving together with the same initial velocity (let's call it V). After the jump, the child's velocity changes to -2.5 m/s (opposite direction), and the sled's velocity changes to 6.3 m/s (forward direction).

Using the conservation of momentum:

Total initial momentum = Total final momentum

(mass of child * initial velocity) + (mass of sled * initial velocity) = (mass of child * final velocity of child) + (mass of sled * final velocity of sled)

(38 kg + 63 kg) * V = (38 kg * -2.5 m/s) + (63 kg * 6.3 m/s)

101 kg * V = -95 kg·m/s + 397.5 kg·m/s

101 kg * V = 302.5 kg·m/s

V = 302.5 kg·m/s / 101 kg

V ≈ 2.995 m/s

Therefore, the initial velocity of the sled (and the child before the jump) is approximately 2.995 m/s.

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The energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c can be calculated as 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.

Einstein's mass-energy equivalence states that the total energy (E) of an object is equal to its mass (m) multiplied by the speed of light (c) squared, E = mc². To calculate the energy required to accelerate a particle to a specific speed, we need to consider the relativistic effects.

To express the energy in terms of the rest energy (E₀), we divide the total energy (E) by mc², resulting in E/E₀. Thus, for speeds of 0.5c, 0.9c, and 0.99c, we can calculate the energy required as follows:

a) For a speed of 0.5c:

  E/E₀ = (mc²)/(mc²) = 1E₀

  The energy required is equal to the rest energy.

b) For a speed of 0.9c:

  E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)

  Here, v = 0.9c, so γ = 2.29

  The energy required is 2.29E₀.

c) For a speed of 0.99c:

  E/E₀ = γmc²/mc² = γ = 1/(1 - v²/c²)^(1/2)

  Here, v = 0.99c, so γ = 7.08

  The energy required is 7.08E₀.

Therefore, the energy required to accelerate a particle to speeds of 0.5c, 0.9c, and 0.99c is 1.15E₀, 2.29E₀, and 7.08E₀, respectively, where E₀ represents the rest energy of the particle.

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Answer:

4. the feather experiences more fluid friction than the ball

Answer:

Explanation:

To find the horizontal component, the x component specifically, use the formula:

\(V_x=Fcos\theta\) and for the vertical component, the y component, use the formula:

\(V_y=Fsin\theta\)

where F is the magnitude of the force and theta is the angle in degrees.

For the x-component:

\(V_x=6cos250\) so

\(V_x=-2.1\) and depending upon whether this is a displacement vector or a velocity vector, the label would be meters/feet or m/s, respectively.

For the y-component:

\(V_y=6sin250\) so

\(V_y=-5.6\)

Answer:

Because the ball is dropped, we are going to assume its initial velocity is 0. With that said, acceleration is essentially the change in the velocity versus the change in time, hence the unit m/s^2, which can be thought of as “meters per second per second.” The only force acting on the ball is gravity.

That being said, you can simply divide the change in velocity by the change in time, giving you an answer of 9.8 m/s^2, which is the value of g. Even if they did not give you a time, the answer would still always be the value of g (that is if the question pertains to earth), as acceleration due to gravity is a constant.

Explanation:

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Explanation:

incomplete question graph / fig is not available

If real interest rates in the United States are higher than those of its trading partners, it would typically lead to an appreciation of the foreign exchange value of the dollar. This is because higher interest rates in the U.S. would attract foreign investors seeking better returns on their investments, thus increasing demand for the U.S. dollar. As a result, the foreign exchange value of the dollar would rise.

An appreciating dollar could impact the U.S. current account, which measures the balance of trade, net income, and direct payments between the U.S. and its trading partners. A stronger dollar makes U.S. exports more expensive for foreign consumers, reducing the demand for American goods and services. Conversely, imports from other countries become cheaper, which increases domestic demand for foreign products. This could lead to a widening of the U.S. current account deficit as exports decrease and imports increase. Therefore, higher real interest rates in the United States can lead to a stronger foreign exchange value of the dollar and a larger current account deficit.

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Answer:

Approximately \(0.29\; {\rm m \cdot s^{-1}}\).

Explanation:

Make use of the fact that total momentum is conserved in collisions.

The momentum of an object of mass \(m\) and velocity \(v\) is \(p = m\, v\).

The momentum of the two trolleys before the collision would be:

Thus, the total momentum of the two trolleys right before the collision would be \(2\; {\rm kg \cdot m \cdot s^{-1}}\).

Since the two trolleys are stuck to one another after the collision, they could modelled as one big trolley of mass \(m = 3\; {\rm kg} + 4\; {\rm kg} = 7\; {\rm kg}\).

The momentum of the two trolleys, combined, is conserved during the collision. Thus, the total momentum of the new trolley of mass \(m = 7\; {\rm kg}\) would continue to be \(v = 2\; {\rm kg \cdot m \cdot s^{-1}}\) shortly after the collision.

Rearrange the equation \(p = m\, v\) to find the velocity of the two trolleys combined:

\(\begin{aligned}v &= \frac{p}{m} \\ &= \frac{2\; {\rm kg \cdot m \cdot s^{-1}}}{7\; {\rm kg}} \\ &\approx 0.29\; {\rm m \cdot s^{-1}}\end{aligned}\).

Answer:

E_loss  = 690000 [J]

Explanation:

The principle of conservation of Energy tells us that energy is converted from Kinetic to mechanical when the body moves from the highest point to the point where the velocity is maximum. That is, all potential energy is transformed into kinetic energy.

\(E_{pot}=E_{kin}\)

Now we must determine the kinetic energy at the end, when the roller coaster is at the point where the reference point of power energy is zero.

\(E_{kin}=\frac{1}{2} *m*v^{2}\)

where:

m = mass = 800 [kg]

v = 45 [m/s]

Now replacing:

\(E_{kin}=0.5*800*(45)^{2}\\E_{kin}=810000[J]\)

Now by means of the difference of the energy at the beginning minus the final energy, it determines the amount of energy that is lost by the effects of friction and heat.

\(E_{loss}=1500000-810000\\E_{loss}=690000[J]\)

Answer:

Angle of Refraction = 28.9 degrees

Explanation:

We'll use Snell's law for this. It's mathematical form is:

=> \(n_1* sin(\alpha _1)=n_2 * sin(\alpha _2)\)

Where \(n_{1} = 1, n_{2} = 1.33, \alpha _{2} = 40^o\)

=> \(n_{1}\) and \(n_{2}\) are the refractive indexes of the air and water respectively.

Solution:

=> 1 * sin (40) = 1.33 * sin(\(\alpha _{2}\))

=> sin \(\alpha _{2}\) = \(\frac{sin 40^0}{1.33}\)

=> sin \(\alpha _{2}\) = 0.4821

=> \(\alpha _{2}\) = 28.9 degrees

Answer:

4.44m/s

Explanation:

Given parameters:

Number of laps  = 4

Length of track  = 400m

Time taken  = 6min

Unknown:

Average speed  = ?

Solution:

The average speed is the total distance covered divided by the time taken.

It is mathematically expressed as;

  Average speed  = \(\frac{total distance}{time taken}\)  

Total distance  = number of laps x length of track  = 4 x 400  = 1600m

Now convert the time to seconds;

         60s  = 1 min

             6 minutes will be 6 x 60 = 360s

So;

  Average speed  = \(\frac{1600}{360}\)  = 4.44m/s

If  you are standing 0.50 m in front of a lens that projects an image of you onto a wall 2.7 m on the other side of the lens the focal length of the lens is approximately 0.42 meters.

To find the focal length of the lens, we can use the lens formula:

1/f = 1/u + 1/v

Where:
f = focal length of the lens
u = object distance (distance between the object and the lens)
v = image distance (distance between the image and the lens)

Given:
u = 0.50 m (you are standing 0.50 m in front of the lens)
v = 2.7 m (the image is projected onto a wall 2.7 m on the other side of the lens)

Now, we can plug the values into the lens formula:

1/f = 1/0.50 + 1/2.7

To solve for f, first find the sum of the two fractions:

1/f = (2.7 + 0.50) / (0.50 * 2.7)
1/f = 3.2 / 1.35

Now, take the reciprocal of both sides to get the focal length:

f = 1.35 / 3.2
f ≈ 0.42 m

So, the focal length of the lens is approximately 0.42 meters.

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Answer:

\(\text{Weight} = \text{Mass} \times \text{Gravitational acceleration}\)

Explanation: