A wood block, after being given a starting push, slides down a ramp at a constant speed. what is the angle of the ramp above horizontal? suppose that μk = 0.2.

First we calculate the force.

F = 8 *3 * 6 i + 13 j = 144 i + 13 j

F = sqrt (144^2 + 13^2) = 144.59 N

Then calculate the displacement d.

d = sqrt (3^2 + 6^2) = 6.71 m

Work is the produce of force and displacement, therefore:

W = F d = 144.59 N * 6.71 m

W = 970 J

The work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.

Work done is the force applied on a body to move it over a distance. Work done can be calculated with the following formula.

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

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

The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m).

The particle is subject to a force,

[tex]\vec F=cxy\hat i+d\hat j[/tex]

Here,  c = 8.0 N/m2 and d = 13 N. The final point of the displacement of the particle is (3 m, 6 m).

Put the values of (x,y), c and d to find the value of force.

[tex]\vec F=(8)(3)(6)\hat i+(13)\hat j\\\vec F=144\hat i+13\hat j[/tex]

Solving this equation as,

[tex]F=\sqrt{(144)^2+(13)^2}\\F=144.59\rm\; N[/tex]

The initial position of the particle is at the origin (0, 0) and the final position of the particle is (3 m, 6 m). Thus, the displacement is,

[tex]d=\sqrt{(3-0)^2+(6-0)^2}\\d=6.71\rm\; m[/tex]

The work done will be,

[tex]W=144.59\times(6.71)\\W=970\rm\; J[/tex]

Hence, the work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.

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Final answer:

The extra work required to stretch the Hooke's-law spring an additional 11.3 cm is 0.9375 J.

Explanation:

To find the extra work required to stretch the Hooke's-law spring an additional 11.3 cm, we can use the formula for the work done by a spring force: W = ½kx², where W is the work done, k is the spring constant, and x is the displacement. Given that it takes 3.3 J of work to stretch the spring 15 cm, we can first find the spring constant:

k = 2W / x² = 2(3.3 J) / (0.15 m)² = 146.67 N/m

Now we can calculate the extra work required to stretch the spring an additional 11.3 cm:

W' = ½kx'² = ½(146.67 N/m)(0.113 m)² = 0.9375 J

Final answer:

Acceleration is the rate of change of velocity over time. The acceleration of the air in m/s² when sneezing at 155 km/h in 0.70 s is approximately 61.51 m/s².

Explanation:

Acceleration is the rate of change of velocity over time. In this case, the air in your lungs accelerates from rest to 155 km/h in approximately 0.70 s. To calculate the acceleration in m/s², we convert the final velocity to m/s and use the formula for acceleration.

Given: Initial velocity = 0 m/s, Final velocity = 155 km/h = 43.06 m/s, Time = 0.70 s. Acceleration = (Final velocity - Initial velocity) / Time.

Substitute the values: Acceleration = (43.06 m/s - 0 m/s) / 0.70 s = 61.51 m/s².

Answer:

Neutron

Explanation:

Neutron is an electrically neutral subatomic particle found in the nucleus of an atom.

Protron is an electrically positive subatomic particle found in the nucleus of an atom.

Electron is an electrically negative subatomic particle found in the orbital of an atom.

The direction of the current in a wire is influenced by the direction of the magnetic field and the movement of the wire in relation to this field. The thickness of the wire affects current amount but not direction. The type of magnet and the ammeter's needle do not determine the current's direction.

The direction of the current moving through a wire is affected by various factors, but let's discuss the pertinent ones here:

Factors such as the type of magnet and the direction of the needle on an ammeter do not affect the direction of the current. An ammeter is a tool used to measure current, not influence it. As for the type of magnet, it's the strength and orientation of the magnetic field it produces that matter, not its inherent type. The relationship between current and magnetic fields is a fundamental concept in electromagnetism, and understanding this relationship is crucial as it forms the basis of electrical motors and generators.

You throw a ball upward from a window at a speed of 1.5 m/s. Ball will be moving with velocity when it hits the sidewalk 2.6 m below is  7.3 ms⁻¹.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given in the question,

Initial Velocity (u)= 1.5 ms⁻¹

Final Velocity (v)=?

Acceleration=9.8 ms⁻¹ (remains constant on free fall problems)

Displacement (s)=-2.6 m

v² = u²+2as

v² = (1.5)²+2(-9.8)(-2.6)

v² = 53.21

v  = √53.21

v  = 7.2945 ≈ 7.3 ms⁻¹

Ball will be moving with velocity when it hits the sidewalk 2.6 m below is  7.3 ms⁻¹.

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Answer:

4+5=9 amu

Explanation:

Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons.

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Answer:

D.  the density of the surrounding air and the density of water.

The buoyancy depends on D. the density of the surrounding air and the density of water.

be aware of how the buoyant pressure most effective depends on the density of the fluid ρ in which the object is submerged, the acceleration due to gravity g, and the quantity of the displaced fluid V f V_f Vf​V, start subscript, f, quit subscript. fairly the buoyant force doesn't rely upon the general depth of the item submerged.

the tendency of a frame to glide or to upward push whilst submerged in a fluid trying out an item's buoyancy.  chemistry: the electricity of a fluid to exert upward pressure on a frame positioned in it the buoyancy of water also : the upward force exerted.

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An insulated lunch bag uses materials that slow down heat transfer.

Importance of Features in Insulated Containers

An insulated lunch bag keeps food warm by utilizing materials that slow down heat transfer, complying with the principles of thermodynamics. To understand which features are most important in minimizing the rate of a hot beverage cooling, we need to consider the mechanisms of heat transfer: conduction, convection, and radiation. A metal lining might conduct heat, leading to quicker heat loss, unless it's part of a vacuum layer such as in a thermos. Insulating cup material, on the other hand, is crucial as materials like polystyrene or foam are poor conductors of heat and therefore reduce heat loss through conduction. The importance of a lid can't be overstated because it traps hot air and reduces heat loss through convection.

If the resistance of an electric circuit is 12 ohms and the voltage in the circuit is 60 V the current flowing through the circuit is 5A

Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, provided all physical conditions and temperatures remain constant

resistance = 12 ohm

voltage = 60 V

using ohm's law

V = IR

I = V/R

 = 60 / 12

 = 5 A

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First let us compute for the total growth in population.

Growth = 155 million * 0.01

Growth = 1.55 million

Since there are 12 months in a year, therefore the new jobs every month should be:

new jobs per month = 1.55 million / 12

new jobs per month = 0.129 million = 129,167 

To keep unemployment from increasing in a labor force of 155 million growing at 1.0 percent per year, around 129,167 new jobs need to be created each month.

If the labor force of 155 million people is growing by 1.0 percent per year, the total increase in the labor force per year would be 1.55 million people (155 million times 1%). To determine the number of new jobs needed to be created each month to keep unemployment from increasing, we divide this annual increase by 12 months. Thus, 1.55 million divided by 12 gives approximately 129,167 jobs that need to be created each month.

Answer:

A physical quantity which is described completely by its magnitude only, is called a scalar quantity.

Examples- Velocity ,Temperature, Speed

Properties

Answer:

Correct Answer is option 4 (It’s a composite because it’s a mixture of cement, sand, and other granular pieces.)

Explanation:

Concrete :

Concrete is a mixture which is made up of sand, cement, granular pieces and water. sand can be spread anywhere in liquid form and when it dries it becomes hard as stone. Concrete is used for making buildings.

Composite:

Composite is a material which is formed by mixing various element

Since Concrete is formed on mixing various element like cement, granular pieces, water and sand. Therefore concrete is a material which belong to composite category.

A bag of sugar that weighs 1.50 lb (or 6.68 N) on Earth would weigh 1.11 N on the moon because the moon's gravity is only one-sixth as strong as Earth's gravity.

To find the weight of the bag of sugar on the moon, we first need to convert its weight on earth from pounds to newtons. As 1.0 lb is equivalent to 4.45 N, a 1.50-lb bag of sugar would weigh 6.68 N on Earth. On the moon, where the free-fall acceleration is one-sixth of what it is on Earth, this weight would be reduced by a factor of 6, giving a weight of approximately 1.11 N.

So, a 1.50-lb bag of sugar which weighs 6.68 N on Earth would weigh 1.11 N on the moon.

To understand why this is the case, it's necessary to understand that weight varies depending on location because it depends on the force of gravity. On the moon, gravity is only one-sixth as strong as it on Earth, which is why objects weigh less there.

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The magnitude of the velocity swung in uniform circular motion is equal 4 m/s.

Given the following data:

To calculate the magnitude of the velocity:

Mathematically, centripetal force is given by the formula:

[tex]F_c = \frac{mv^2}{r}[/tex]

Making v the subject of formula, we have:

[tex]V = \sqrt{\frac{F_c r}{m} }[/tex]

Substituting the parameters into the formula, we have;

[tex]V = \sqrt{\frac{4 \times 2}{0.5} }\\\\V = \sqrt{\frac{8}{0.5} }\\\\V =\sqrt{16}[/tex]

V = 4 m/s

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Final answer:

To calculate the theoretical yield of C2H5Cl in the reaction between ethane and chlorine, you need to determine the limiting reactant and use stoichiometry to calculate the yield.

Explanation:

The reaction between ethane (C2H6) and chlorine (Cl2) produces mainly ethyl chloride (C2H5Cl), but other products such as dichloroethane (C2H4Cl2) may also be formed in smaller quantities. These additional products reduce the overall yield of ethyl chloride. To calculate the theoretical yield of C2H5Cl, we first need to determine the limiting reactant. This is done by comparing the stoichiometric ratios of the reactants: C2H6 and Cl2.

The balanced chemical equation for the reaction is:
C2H6 + Cl2 → C2H5Cl + HCl

To calculate the theoretical yield of C2H5Cl, you can use the following steps:

The resulting value will be the theoretical yield of C2H5Cl.

Answer:

At the bottom of swimming pool the pressure will be maximum.

Explanation:

Here as we know that pressure inside the water is given as

[tex]P = P_0 + \rho g h[/tex]

here we know that

[tex]P_0[/tex] = atmospheric pressure

[tex]\rho[/tex] = density of water

h = depth inside the water where pressure it to be required

So here from the above equation we know that pressure is increased as the depth inside the water is increased.

So in order to have maximum pressure inside the swimming pool we need to go at maximum depth position.

So it is at the bottom of the swimming pool pressure will be maximum.