a key falls from a bridge that is 45 m above the water. it falls directly into a model boat, moving with constant velocity, that is 12 m from the point of impact when the key is released. what is the speed of the boat?

We have the next definitions

Distance It is all the way traveled by a mobile or moving body.

Displacement: It is a straight line distance from an initial position to a final position. This distance has direction therefore it is a vector

Therefore the statement that is not true is

Its displacement can be larger than its distance.

ANSWER

We will have that the magnitude of the force required is:

So, it will need at least 98 N to keep it from moving downwards.

The acceleration of the block is given by the pulley rotates so that the rope does not slip on the pulley is 8.4 m/s².

If an object's velocity changes, it is said to have been accelerated. An object's velocity might alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stalled at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.

let m₁ = 17 kg

m = 29 kg

let T₁ is the tension in the left side and T₂ is the tension in the right side.

T₂ = 431 N

I = 0.5mR²

= 0.5x29x0.18²

= 0.47 kg.m²

let a is the acceleration of the block.

net force acting on block,

Fnet = T₁ -m₁g

m₁a = T₁ - m₁g

T₁ = m₁a + m₁g --(1)

net torque acting on the pulley,

Torque = T₂R - T₁R

\(I_\alpha\) = T₂R - T₁R

Ia/R = T₂R - T₁R

Ia/R = T₂R - (m₁a+m₁g)R

a(I/R + m₁R) = T₂R - m₁gR

a = (T₂R - m₁gR)/(I/R + m₁R)

= (431x0.18 - 17x9.8x0.18)/(0.47/0.18 + 17x0.18)

= 8.4 m/s².

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Explanation:

Unplanned maintenance at nuclear plants and lower than average wind speeds mean the country is currently relying on gas-powered stations to generate about half its electricity

The UK depends on power stations due to the more efficiency of energy production in them.

Even though UK has an enough wind supply over each year to meet the electric needs of UK, they still need power stations that use fuel to generate electricity.

This is because of the challenges created in the maintenance and implementation of wind plants in the UK.

The wind turbines have a higher cost for maintenance, compared to that of power stations. The ideal wind sites in the UK are mostly located in remote areas, so that it becomes more difficult for the implementation of wind plants. Also the lower average wind speed causes less production in the electricity through them. As a result, the UK still depends on power stations for the electric needs.

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The answer to your question is: a. true. An interference grating can indeed be used to separate multi-wavelength light into its individual wavelengths.

The amount of diffraction depends on the wavelength of the light and the spacing between the lines on the grating. In general, longer wavelengths are diffracted more than shorter wavelengths, resulting in a separation of the different wavelengths of light. The angle at which each wavelength is diffracted depends on the spacing between the lines on the grating and can be calculated using the grating equation.

This process is commonly used in spectroscopy to analyze the composition of a sample or to measure the properties of light. By passing light through an interference grating, the different wavelengths can be separated and their intensities can be measured, providing information about the sample or the light source.

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The velocity of the mass after the force has stopped acting is 14 m/s.

The velocity of an object is the speed at which the object is moving in a specified direction.

Momentum is related to velocity and mass by the formula:

The velocity of the mass after 8 seconds is first determined.

Change in linear momentum = (1/2 × 2 × 6) + (6 × 4) + (1/3 ×2 × 6) = 36 kgm/s

Initial momentum = 18 kg × 12 m/s = 216 kgm/s

Final momentum = 216 + 36 = 252 kgm/s

Final Velocity = final momentum/mass

Velocity = 252/18 = 14 m/s

After 8 seconds, the force stops acting.

Therefore, the velocity of the mass after the force has stopped acting is 14 m/s.

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Answer:

The solar wind is created by the outward expansion of plasma (a collection of charged particles) from the Sun's corona (outermost atmosphere). This plasma is continually heated to the point that the Sun's gravity can't hold it down. It then travels along the Sun's magnetic field lines that extend radially outward.

Answer:

Acceleration would be \(1.96\) times the initial value.

Explanation:

The vehicle is in a centripetal motion as it rounds the circular curve. Acceleration of the vehicle during the motion would be:

\(\displaystyle a = \frac{v^{2}}{r}\),

Where:

In this question, \(r\) stays the same since the vehicle is rounding the same curve. Acceleration of the vehicle would be proportional to the square of velocity.

The new velocity of the vehicle is \((70 / 50)\) times the original one. Hence, the new acceleration would be \((70 / 50)^{2} = 1.96\) times the original value.

Answer:

When a switch is closed, electrons move through a circuit from the negative side of a battery to the positive side

Explanation:

Note that current is marked to flow from positive to negative on circuit diagrams, but that's for historical reasons only. Benjamin Franklin did a fabulous job of understanding what was going on, but no one yet knew about protons & electrons, so he assumed current was flowing from positive to negative.

However, what really happens is electrons flow from negative (where they repel each other) to positive (where they are attracted).

As electrons flow through a circuit, they need 'something to do'. In many cases, that something is to light a bulb or heat an element, such as an element on a stove. So, the energy of an electron can be converted to heat or light.

I hope I'm understanding your question correctly

Answer:

well I mean it would depend on where u live for this question that's the only reason I am confused.. I'm pretty sure it's A thi

Answer:

A horizontal line on a phase change graph means there has been

no change. Often longer periods of research are needed to see

significant change.

Answer:

5 metre.

Explanation:

Wavelength = Velocity / Frequency

= 23,000/ 4,500

= 5 metre.

From a starting height of six feet, a baseball is hurled upward. Its height above the ground (in feet) t seconds after being thrown is given by the function h(t)=-16t²+46t+6. It take 2 seconds for the baseball to hit the ground. Hence, the correct option is (c).

The baseball hits the ground when the height is 0. Thus, solving h(t)=-16t^2 + 46t + 6 = 0:

-16t^2 + 46t + 6 = 0

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

Where a = -16, b = 46, c = 6

t = (-46 ± √(46^2 - 4 x -16 x 6)) / 2 * -16

t = (-46 ± √(46^2 + 384)) / -32

t = (-46 ± 2√190) / -32

t = (46 ± 2√190) / 32

t ≈ 2 seconds

So, the baseball will hit the ground approximately 2 seconds after it was thrown.

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cloud?? thats prob wrong lol

Answer:

a shadow a cloud i dont really know

Answer:

confined space

Explanation:

Answer:

Assume that the tractor and the car are moving in the same direction. If the tractor keeps moving at the same speed, the car need to decelerate at a minimum rate of approximately \(2.8\; {\rm m\cdot s^{-2}}\) (\((25 / 9)\; {\rm m\cdot s^{-2}}\)) to avoid collision.

Explanation:

Relative to the tractor, the car was initially moving at \(80\; {\rm km \cdot h^{-1}} - 20\; {\rm km \cdot h^{-1}} = 60\; {\rm km \cdot h^{-1}}\).

Apply unit conversion; ensure that the unit of velocity is \({\rm m\cdot s^{-1}}\):

\(\begin{aligned} 60\; {\rm km \cdot h^{-1}} &= 60\; {\rm km \cdot h^{-1}} \times \frac{1\; {\rm m\cdot s^{-1}}}{3.6\; {\rm km \cdot h^{-1}}} \\ &\approx \; 16.7\; {\rm m\cdot s^{-1} \end{aligned}\).

In other words, the initial velocity of the car was \(u \approx 16.7\; {\rm m\cdot s^{-1}}\) relative to the tractor.

Since the tractor is moving at constant velocity, the acceleration \(a\) of the car relative to the tractor is the same as the acceleration of the car relative to the ground.

It is given that the initial distance between the tractor and the car was \(50\; {\rm m}\). The final velocity \(v\) of the car should be no more than \(0\; {\rm m\cdot s^{-1}}\). Otherwise, the car would keep moving toward the tractor until the two vehicles collide.

Relative to the tractor, if the deceleration of the car was at the minimum safe value:

Apply the SUVAT equation \(a = (v^{2} - u^{2}) / (2\, x)\) to find the acceleration of the car:

\(\begin{aligned}a &= \frac{v^{2} - u^{2}}{2\, x} \\ &\approx \frac{(0\; {\rm m\cdot s^{-1}})^{2} - (16.7\; {\rm m\cdot s^{-2}})^{2}}{2 \times 50\; {\rm m}} \\ &\approx (-2.8)\; {\rm m\cdot s^{-2} \end{aligned}\).

In other words, the deceleration of the car should be at least \(2.8\; {\rm m\cdot s^{-2}}\) relative to the tractor and to the ground.

To be effective, there must be must agreement aimed at preventing or reducing ozone depletion by the international government and the various international organizations.

It can be defined as the origination of the contaminant substance that poisonous or harmful to our natural environment.

The Montreal Protocol is an international agreement that was established to safeguard the earth's atmosphere by gradually banning the manufacturing and use of chemicals that damage the ozone layer (ODS).

Thus, For an agreement between the different international organizations and the international government to be effective, it must be targeted at avoiding or mitigating ozone depletion.

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E=mc2

Formula

E = energy

m = mass

c = the speed of light

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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Physical health can have a critical effect on social media utilization and behaviour. Individuals with way better physical well-being may have more vitality and inspiration to lock in with social media.

Generally, physical well-being can impact the recurrence and nature of social media utilization, as well as the passionate and mental impacts it has on people. Here are few questions regarding how physical health affect social media-

GEN Z:

MILLENIALS:

GEN X:

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The new volume of the balloon when heated to 48.0°C is approximately 2.51 liters. Therefore, the correct answer is option B) 2.51 L.

To calculate the new volume of the balloon when it is heated from 24.0°C to 48.0°C, we can use the Charles' Law formula, which states that the initial volume and temperature of a gas are directly proportional to its final volume and temperature when pressure is constant. The formula is:

(V1 / T1) = (V2 / T2)

where V1 is the initial volume (2.32 liters), T1 is the initial temperature (24.0°C), V2 is the final volume (unknown), and T2 is the final temperature (48.0°C). First, convert the temperatures to Kelvin by adding 273.15:

T1 = 24.0°C + 273.15 = 297.15 K
T2 = 48.0°C + 273.15 = 321.15 K

Now, substitute the values into the formula and solve for V2:

(2.32 L / 297.15 K) = (V2 / 321.15 K)

To find V2, multiply both sides of the equation by 321.15 K:

V2 = (2.32 L / 297.15 K) * 321.15 K

V2 ≈ 2.51 L

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Answer:

The correct option is;

d. A coil

Explanation:

When a wire, which is an electric conductor is formed into the shape of a coil, and current is allowed to flow through the wire coil, a magnetic field is generated

The magnetic field generated by the electromagnetic coil has direction that consists of flux emanating from one end of the coil and entering the coil from the other end, similar to that of the magnetic field produced by a normal bar magnet.

Answer:

The maximum speed an object can fall in the presence of air resistance

Newton's third law

A coil

Answer: C. Galactic disk

Explanation:

The part of the Milky Way which allows the determination of it rotational direction is known as the Galactic disk. This disc are shaped because they contain gases which are rich and dynamically young. It is also a part of a group of a galaxies disc is a component of disc galaxies, known as spiral galaxies and lenticular galaxies.

Answer:

Galactic disk

Explanation:

Galactic disc's are composed mostly of the galaxy's stars and a gaseous component mostly composed of cool gas and dust. The stellar population of galactic discs tend to exhibit very little random motion with most of its stars undergoing nearly circular orbits about the galactic center. This circular orbit maintains the galaxy's rotation momentum.

Answer:

Electric field is the field that surrounds each electric charge and exerts force on all other charges in the field, either attracting or repelling them.

Hope it will help you

Answer:

The absorbed sunlight drives photosynthesis, fuels evaporation, melts snow and ice, and warms the Earth system.

Explanation:

And there you go! :)

a) To estimate c1 and c2 using linear least squares fitting, we first need to set up the system of equations A^T Ac = A^Tb. Here, A is a matrix with columns corresponding to the sine and cosine terms in the equation y(t), and b is a column vector containing the displacement values at the given times. Specifically, we have:

A = [sin(ωt1), cos(ωt1); sin(ωt2), cos(ωt2); ... ; sin(ωt6), cos(ωt6)]
b = [y(t1); y(t2); ... ; y(t6)]

Plugging in the given values for ω and y(t), we get:
A = [0.932039, 0.362358; -0.932039, -0.362358; ... ; -0.487163, 0.874347]
b = [-0.746945; -2.27601; ... ; -2.27083]

Next, we can solve for c by computing the matrix product (A^T A)^-1 A^T b, where (A^T A)^-1 denotes the inverse of the matrix A^T A. This gives:
c = (c1, c2) = (-0.979, 0.382)

Therefore, c1 ≈ -0.979 and c2 ≈ 0.382 are the estimated values of the constants in the vibrating bridge equation.

b) To estimate ω, c1, and c2 using nonlinear least squares fitting, we need to minimize the sum of squared errors between the actual displacement values and the predicted values from the equation y(t) = c1sin(ωt) + c2cos(ωt). This can be done using an optimization algorithm, such as the Levenberg-Marquardt algorithm.

Using this approach, we obtain:
ω ≈ 1.213
c1 ≈ -0.974
c2 ≈ 0.385

Therefore, the estimated values of ω, c1, and c2 from the nonlinear least squares fit are slightly different from the linear fit, but still very close. This suggests that the vibrating bridge equation is a good model for the given displacement values, and that the constants c1, c2, and ω can be estimated accurately using either approach.

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Answer:

Answer:- Volume of the balloon is 5.78 L.

Solution:- There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.

This problem is based on ideal gas law equation:

P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K

R =

V = ?

The equation could be rearranged for the volume as:

Let's plug in the values and do the calculations to get the volume of the balloon:

V = 5.78 L

So, the volume of the gas balloon is 5.78 L.

The unit of a third-order reaction is mol-2L2s-1.

The total of the exponents that the concentration terms in the rate law are increased to determine the reaction's overall order. Take the products of the reaction aA+bB, for instance. Reactants A and B are in that sequence in the reaction, which is a and b, respectively. The reaction happens in the general order a+b.

The overall reaction sequence affects the units of the rate constant, k. M/s, 1/s, and 1/(Ms) are the units of k for zero-order reactions, first-order reactions, and second-order reactions, respectively.

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The Mach number for the plane is approximately 3.51.

To find the speed of the plane, we can use the equation:

Speed of sound = Speed of the plane / Time taken

Given: Speed of sound (v) = 344 m/s

Time taken (t) = 3.51 seconds

Let's calculate the speed of the plane:

Speed of plane = Speed of sound × Time taken

Speed of plane =\(344 m/s * 3.51 s\)

Speed of plane ≈ 1206.44 m/s

Rounded to 2 decimal places, the speed of the plane is approximately 1206.44 m/s.

To find the Mach number of the plane, we need to divide the speed of the plane by the speed of sound:

Mach number = Speed of plane / Speed of sound

Mach number ≈ \(1206.44 m/s / 344 m/s\)

Mach number ≈ 3.51

Rounded to 2 decimal places, the Mach number for the plane is approximately 3.51.

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The tail shape of a surfboard greatly affected the board's interaction with the wave's face and the flowing of water flowing.

The tail shape of a surfboard affects how the board depends on the wave's face, and the water flowing between it. More comprehensive, thicker tail shapes have more surface area and assist the board to float and create lift - allowing the surfboard to plane over the surface of the water more efficiently.

The shape of both the surfboard and its fin swap the way the water moves around it if you can grab a wave as well as the turning ability of the surfboard.

So we can conclude that Surfboard bottom outlines are also essential. Concave and V-shaped contours have similar performances, for all opposite designs.

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