Streams compensate for changes in their systems by adjusting other factors in order to return to _______

(a) To find the horizontal distance d that the ball travels before landing, we can use the equation d = (Vx)t, where Vx is the horizontal velocity of the ball and t is the time it takes for the ball to fall from the ramp to the floor.

First, we need to find the horizontal velocity of the ball when it leaves the ramp. Since the ball is rolling without slipping, we can use the equation V = ωR, where V is the linear velocity, ω is the angular velocity, and R is the radius of the ball. The radius of the ball is 0.20 m / 2 = 0.10 m.

Next, we need to find the angular velocity of the ball. We can use the equation ω = √(2gh/R), where g is the acceleration due to gravity (9.8 m/s^2), h is the vertical height that the ball drops (0.49 m), and R is the radius of the ball (0.10 m). Plugging in the values gives us:

ω = √(2(9.8)(0.49)/0.10) = 31.3 rad/s

Now we can find the horizontal velocity of the ball:

V = ωR = (31.3)(0.10) = 3.13 m/s

Finally, we can find the time it takes for the ball to fall from the ramp to the floor using the equation h = 0.5gt^2, where h is the vertical height (1.31 m) and g is the acceleration due to gravity (9.8 m/s^2). Rearranging the equation and plugging in the values gives us:

t = √(2h/g) = √(2(1.31)/9.8) = 0.52 s

Now we can find the horizontal distance d that the ball travels before landing:

d = (Vx)t = (3.13)(0.52) = 1.63 m

Answer: The ball travels 1.63 m before landing.

(b) To find the number of revolutions that the ball makes during its fall, we can use the equation θ = ωt, where θ is the angular displacement, ω is the angular velocity, and t is the time. The angular displacement is equal to the number of revolutions times 2π, so we can rearrange the equation to solve for the number of revolutions:

θ / 2π = ωt / 2π = (31.3)(0.52) / 2π = 2.59 rev

Answer: The ball makes 2.59 revolutions during its fall.

Learn more about angular velocity here :

https://brainly.com/question/29557272

#SPJ11

Answer:

Explanation:

Comment

Elements are only those items found on the periodic table. There are just over a hundred different elements on the periodic table. Oxygen is one of them and it is also a gas.

However CO2 (Carabon Dioxide) is also a gas. It is not an element simply because it is made of two elements from the periodic table (Carbon and Oxygen). CO2 is a compound.

Answer:

Explanation:

because some gasses are compounds with multiple elements inside of it

mark me brainliest :)

Answer:

602.27 kg

Explanation:

The computation of the largest mass of cargo the balloon can lift is shown below:-

Volume of helium inside the ballon= (4 ÷ 3) × π × r^3

= (4 ÷ 3) × 3.14 × 6.953

= 1406.19 m3

Mass the balloon can carry = volume × (density of air-density of helium)

= 1406.19 × (1.29-0.179)

= 1562.27 kg

Mass of cargo it can carry = Mass it can carry - Mass of structure

= 1562.27 - 960

= 602.27 kg

The y-component of the vector is approximately 14.67 meters.

To find the y-component of the vector, we need to use trigonometry. Given that the vector has a magnitude of 34 meters and an angle of 26 degrees, we can break down the vector into its x and y components.

Step 1: Identify the known values:

Magnitude of the vector (r) = 34 meters

Angle (θ) = 26 degrees

Step 2: Determine the y-component using trigonometry:

The y-component can be found using the formula:

y = r * sin(θ)

Step 3: Calculate the y-component:

Substituting the known values into the formula:

y = 34 * sin(26 degrees)

y ≈ 14.67 meters

Therefore, the y-component of the vector is approximately 14.67 meters.

For more such questions on vector, click on:

https://brainly.com/question/27854247

#SPJ8

Answer:

\(\huge\boxed{\sf x = 18\°}\)

Explanation:

If ∠ABC and ∠DEF are complementary angles, this means they add up to 90 degrees.

So,

∠ABC + ∠DEF = 90°

72 + x = 90

Subtract 72 to both sides

x = 90 - 72

x = 18°

\(\rule[225]{225}{2}\)

Acknowledging one's worldview as a scholar-practitioner is crucial as it influences research inquiry. It shapes research questions, methods, and interpretations. Recognizing biases and being open to diverse perspectives ensures reliable and valid research.

For more questions on interpretations

https://brainly.com/question/29524460

#SPJ8

Answer: series circuit

Explanation:

First 2 answers are garbage.  In Parallel circuits electrons have 2 or more paths to follow.  In Series circuits, there is only one path.

Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

The moment of inertia is the rotational analog of mass, and it is given by

the  product of mass and the square of the distance from the axis.

Reasons:

The weight on each arm that have adjustable positions can be considered as point masses.

The moment of inertia of a point mass is I = m·r²

Where;

m = The mass of the weight

r = The distance (position) from the center to which the weight is adjusted

Therefore;

The moment of inertia, I ∝ r²

Which gives;

Doubling the distance from the center of rotation, increases the moment of inertia by factor of 4.

Therefore, the statement contradicts the relationship between the radius of rotation and moment of inertia.

Learn more about moment of inertia here:

https://brainly.com/question/4454769

The relationship of the wavelength of a particle and its mass is they are inversely related.

Option D is correct.

The link between a particle's mass and wavelength is provided by the de Broglie wavelength equation: = h/p,

where is the wavelength, h is the Planck constant, and p is the particle's momentum.

This condition shows that a molecule's energy is contrarily relative to its frequency. Because momentum (p = mv) is defined as the product of mass and velocity, we can also say that a particle's wavelength is inversely proportional to its mass.

A wavelength is the distance between two identical points (adjacent crests) in consecutive cycles of a waveform signal that travels in space or down a wire. In wireless systems, its length is typically measured in meters (m), centimeters (cm), or millimeters (mm).

To know more about Wavelength:

brainly.com/question/10750459

#SPJ1

A) Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}\)

b) Therefore, the power require is \($0.013313 \mathrm{~W}\)

c) Therefore, the efficiency of heart is\($0.2219 \%$.\)

A) Calculate the amount of the work performed by the heart during the systole by using the following relation:

\($$\begin{aligned}W & =\frac{1}{2} m_b v^2 \\& =\frac{1}{2}\left(\rho_b A v\right) v^2 \\& =\frac{1}{2} \rho_b A v^3 \\& =\frac{1}{2} \rho_b\left(\frac{\pi}{4} d^2\right) v^3 \\& =\frac{1}{2} \times 1.057 \times 10^3 \times\left(\frac{\pi}{4} \times(0.029)^2\right) \times(0.2032)^3 \\& =2.9289 \times 10^{-2} \mathrm{~J}\end{aligned}$$\)

Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}$.\)

b) Calculate the power during systole by using the following relation:

\($$\begin{aligned}P & =\frac{W}{t} \\& =\frac{2.9289 \times 10^{-3}}{0.22} \\& =0.013313 \mathrm{~W}\end{aligned}$$\)

Therefore, the power require is \($0.013313 \mathrm{~W}$.\)

C) Calculate the efficiency of the heart by using the following relation:

\($$\begin{aligned}\eta & =\frac{P_{\text {out }}}{P_{\text {ov }}} \\& =\frac{0.013313}{6} \\& =0.0022188(0.2219 \%)\end{aligned}$$\)

Therefore, the efficiency of heart is\($0.2219 \%$.\)

Learn more about heart

https://brainly.com/question/16566688

#SPJ1

Option A is true: the red liquid is the least dense.

When different liquids are poured into a container, they will typically separate based on their densities. Liquids with higher densities will sink to the bottom, while liquids with lower densities will float on top.

In the scenario described in the question, we are told that the liquids have separated into three distinct layers: green on the bottom, blue in the middle, and red on top. Based on this layering, we can infer that the red liquid must be the least dense, since it is floating on top of the other two liquids.

Similarly, we can infer that the blue liquid is denser than the red liquid, but less dense than the green liquid, since it is sandwiched between them. And we can infer that the green liquid is the most dense, since it is at the bottom.

Learn more about density of liquid here: https://brainly.com/question/31161935

#SPJ1

Answer:

9.57m/s²

Explanation:

Given parameters:

Initial velocity  = 0m/s

Final velocity  = 90m/s

Distance  = 423m

Unknown:

Acceleration of the race car  = ?

Solution:

To solve this problem, we should apply one of the appropriate motion equations;

      V²  = U²   + 2as

Where V is the final velocity

           U is the initial velocity

           a is the acceleration

           s is the distance

  90²  = 0²  + 2 x a x 423

  8100 = 846a

      a  = 9.57m/s²

Answer:

(a) convex mirror

(b) virtual and magnified

(c) 23.3 cm

Explanation:

The having mirror is convex mirror.

distance of object, u = - 20 cm

magnification, m = 1.4

(a) As the image is magnified and virtual , so the mirror is convex in nature.

(b) The image is virtual and magnified.

(c) Let the distance of image is v.

Use the formula of magnification.

\(m =-\frac{v}{u}\\1.4=-\frac{v}{-20}\\v =28 cm\)

Use the mirror equation, let the focal length is f.

\(\frac{1}{f}=\frac{1}{v}+\frac{1}{u}\\\frac{1}{f}=\frac{1}{28}+\frac{1}{20}\\\frac{1}{f}=\frac{28+20}{560}\\f=11.67cm\)

Radius of curvature, R = 2 f = 2 x 11.67 = 23.3 cm

The answer is 1) The pressure at point D is 80 kPa. 2) The temperature at point D is 800 K. 3) The net work done on the gas over four cycles is zero. 4) The internal energy of the gas at point A is 100 J. 5) The total change in internal energy during four complete cycles is zero.

For more questions on the Carnot cycle, click on:

https://brainly.com/question/25819144

#SPJ8

Answer:

C. Electrons are both gained and lost

Answer:

A. They are single-replacement reactions.

C.Electrons are both gained and lost.

Explanation:

.........................

Answer:

5 .07 s .

Explanation:

The child will move on a circle of radius r

r = 1.5 m

Let the velocity of rotation = v

radial acceleration = v² / r

v² / r = 2.3

v² = 2.3 r = 2.3 x 1.5

= 3.45

v = 1.857 m /s

Time of revolution = 2π r / v

= 2 x 3.14 x 1.5 / 1.857

= 5 .07 s .

The merry-go round will take 5.07 s to complete one complete revolution.

Given data:

The distance of child from the center is, r = 1.5 m.

The magnitude of radial acceleration is, \(a = 2.3 \;\rm m/s^{2}\).

Since, the child is on merry-go round, which is undergoing a rotational motion. And radial acceleration means that it is under the acceleration, whose value is given as,

\(a=\dfrac{v^{2}}{r}\\\\v=\sqrt{a \times r}\)

Here, v is the linear velocity.

Solving as,

\(v=\sqrt{2.3 \times 1.5} \\\\v=1.857 \;\rm m/s\)

Now, we to obtain the time taken by merry-go round to complete one revolution. Then the expression for the time taken to complete one revolution is,

\(T=\dfrac{2 \pi r}{v}\\\\T=\dfrac{2 \pi \times 1.5}{1.857}\\\\T = 5.07 \;\rm s\)

Thus, we can conclude that the merry-go round will take 5.07 s to complete one revolution.

Learn more about the centripetal acceleration here:

https://brainly.com/question/14465119

Time of flight = 1.6 s

Horizontal distance = 64 m

Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.

For the given case,

h = vt + ¹/₂gt²

h = height of tower

v = initial velocity

t = time of flight

55 = 50sin30t + ¹/₂9.8t²

55 = 25t + 4.9t²

4.9t² + 25t - 55 = 0

t = 1.6 s

X = vₓt

X = horizontal distance

vₓ = horizontal velocity

t = time of flight

X =  (50 x cos30) x 1.6

X =  64 m

To know more about projectile motion visit:

https://brainly.com/question/11049671

#SPJ13

A VfL (Vertical Field LED) backlighting system is commonly used in LCD (Liquid Crystal Display) televisions.

LCD TVs rely on a backlight to illuminate the liquid crystal layer, which controls the passage of light to create the visual image. The VfL technology is a specific type of LED backlighting arrangement used in certain LCD TV models. In a VfL backlighting system, the LEDs (Light-Emitting Diodes) are positioned vertically along the edges of the LCD panel.

The light emitted by these LEDs is directed across the panel using light guides or optical films, illuminating the liquid crystal layer uniformly. One advantage of VfL backlighting is its ability to provide consistent illumination across the LCD panel, reducing any potential inconsistencies in brightness or color uniformity. The vertical orientation of the LEDs allows for more precise control over light distribution, improving overall image quality.

Additionally, VfL backlighting offers potential advantages in terms of power efficiency. By selectively dimming or turning off specific zones of LEDs, local dimming techniques can be employed to enhance contrast and black levels, resulting in improved picture quality while conserving energy. It's important to note that VfL backlighting is just one of several backlighting technologies available for LCD TVs.

know more about Liquid Crystal Display here:

https://brainly.com/question/30047287

#SPJ8

Answer:

Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei. The moderator helps slow down the neutrons produced by fission to sustain a chain of reaction. The chains are controlled by Boron control rods when Boron absorbs the neutrons then the chain reaction will slow down due to the lack of neutrons producing reactions due to the absorbent of Boron. Their reaction initiates its own repetition.

Nuclear fission is the splitting of nucleus into two smaller nuclei and high amount of energy.

Nuclear fission is a reaction in which the nucleus of an atom splits into two or more smaller nuclei as well as very high amount of energy. The nuclear fission process produces gamma photons, and releases a very large amount of energy.

Most reactors are controlled with the help of control rods that are made of a strongly neutron-absorbent material such as boron or cadmium so we can conclude that nuclear fission is the splitting of nucleus into two smaller nuclei and high amount of energy.

Learn more about chain reaction: https://brainly.com/question/1358923

Learn more: https://brainly.com/question/25240385

When the length of the pendulum in pendulum clock increases by 0.1 % , then the error in time per day is c) 43.2s

Let the pendulum = L

The time in a day will be: = 60 × 60 × 24

When the length is increased, the new length will be:

= L + 0.001L

New time period will be:

T =✓0.001s

Now, the error in a day will be:

= ✓0.001 × 60 × 60 × 24 - 1 × 60 × 60 × 24.

= 60 × 60 × 24(✓1.001 - 1)

= 43.2 seconds.

Therefore, the correct option is C.

Learn more about time on:

brainly.com/question/10428039

#SPJ1

Answer:

ke=648J

Explanation:

ke=1/2mv²

m=9kg

v=12m/s

1/2(9)(12)²

=648J

Answer:

When the cold weather fills hard surfaces with water, it causes it to freeze and expand, causing cracks in the surface.

Answer: the answer is true

Explanation:

Based on the information, it should be noted that the resistance R is 0.5 Ω.

When S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:

Z = jωL - 1/(jωC)

Since i leads e by 30°, we can express the phasor relationship as:

I = k * e^(j(ωt + θ))

Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)

Re(Z) = 0

By equating the real parts, we get:

0 = 0 - 1/(120πC)

Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:

Z = R + jωL - 1/(jωC)

Z = R + jωL

Im(Z) = ωL > 0

Substituting the angular frequency and rearranging the inequality, we have:

120πL > 0

L > 0

This condition implies that the inductance L must be greater than zero.

When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:

Z = R + jωL - 1/(jωC)

Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:

I = 0.5 * e^(j(ωt + θ))

By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:

Re(Z) = R

Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R

Therefore, the resistance R is 0.5 Ω.

Learn more about resistance on

https://brainly.com/question/17563681

#SPJ1

Answer:

It will rotate counter-clockwise.

Explanation:

The reason is that there is more Nm on the left side which will lift the lever towards the left side.

The lever would rotate counterclockwise as the torque on the left is higher, so, option B is correct.

The force which causes the object to rotate about any axis is called perpendicular distance.

Torque is a twisting or turning force that frequently results in rotation around an axis, which may be a fixed point or the center of mass. The ability of something rotating, such as a gear or a shaft, to overcome turning resistance is another way to think of torque.

Given:

The force on the left side, f = 40 N,

The force on the right side, F = 80 N,

The distance of the pivot from the left side, d = 9 m,

The  distance of the pivot from the right side, d = 3 m,

Calculate the torque on both side as shown below,

Torque on the left side = 40 × 9

Torque on the left side = 360 Nm

Torque on the right side = 80 × 3

Torque on the right side = 240 Nm,

Here, the torque on the left side is more,

Thus, the lever will rotate counterclockwise.

To know more about torque:

https://brainly.com/question/28220969

#SPJ2

The frictional torque exerted on the platform by the axle as the platform rotates will be;

\(\rm T_f \theta =\frac{1}{2} I [\omega^2-\omega_0^2]\)

Torque is the force's twisting action about the axis of rotation. Torque is the term used to describe the instant of force. It is the rotational equivalent of force. Torque is a force that acts in a turn or twist.

The amount of torque is equal to force multiplied by the perpendicular distance between the point of application of force and the axis of rotation.

Work done by the frictional torque = Change in the rotational kinetic energy of the wheel

\(\rm T_f \theta =\frac{1}{2} I [\omega^2-\omega_0^2]\)

Where,

\(\rm T_f\) is the frictional torque

\(\rm \omega\) is the final angular velocity

\(\rm \omega_0\) is the initial angular velocity

\(\rm \theta\) is the angular displacement

Hence, the frictional torque exerted on the platform by the axle as the platform rotates will be;

\(\rm T_f \theta =\frac{1}{2} I [\omega^2-\omega_0^2]\)

To learn more about the torque, refer to the link;

brainly.com/question/6855614

#SPJ1

(a) To determine the acceleration of the ball while it is in flight, we can use the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this case, the ball is thrown straight up, so its final velocity at the highest point is 0 m/s. The initial velocity is unknown, the acceleration is due to gravity and is approximately -9.8 m/s^2 (negative since it acts in the opposite direction of motion), and the time of flight is 2.21 s.

Using the equation, we can solve for the acceleration:

0 = u - 9.8 * 2.21

u = 9.8 * 2.21

u ≈ 21.658 m/s

Therefore, the acceleration of the ball, while it is in flight, is approximately 21.658 m/s^2 in the upward direction.

(b) When the ball reaches its maximum height, its velocity is 0 m/s. This occurs when the ball is momentarily at rest before falling back down. Therefore, the magnitude of the velocity when the ball reaches its maximum height is 0 m/s.

(c) To find the initial velocity of the ball, we can use the equation:

v = u + at

At the highest point, the final velocity is 0 m/s, the acceleration is -9.8 m/s^2 (due to gravity), and the time is 2.21 s.

0 = u - 9.8 * 2.21

u = 9.8 * 2.21

u ≈ 21.658 m/s upward

Therefore, the initial velocity of the ball is approximately 21.658 m/s upward.

(d) The maximum height reached by the ball can be determined using the equation for vertical displacement:

s = ut + (1/2)at^2

At the highest point, the final displacement is 0 m, the initial velocity is 21.658 m/s upward, and the time of flight is 2.21 s.

0 = 21.658 * 2.21 + (1/2) * (-9.8) * (2.21)^2

0 = 47.864 + (-5.5294)

5.5294 = 47.864

Therefore, there seems to be an error in the calculations as the equation does not hold true. Please check the given values and equations to ensure accuracy.

To know more about acceleration:

https://brainly.com/question/2303856

#SPJ1

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

To know more about Hooke's law, visit :

https://brainly.com/question/15365772