You need to move a 117-kg sofa to a different location in the room. It takes a force of 109 N to start it moving. What is the coefficient of static friction between the sofa and the carpet

The horizontal displacement of the cannonball  is  65.75 meter.

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

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The statement that is not provide a drawback of using coal energy for energy production is (D) difficult transportation due to instability.

Coal is source of fossil energy created by dead plant drawn in swamp environments and subjected by geological pressure and forces of heat over hundreds of millions of years. The disadvantage using this source of energy are:

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The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.

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Answer:

Below

Explanation:

Mech adv = effort arm / load arm = 15 / 5 = 3

To solve this we must be knowing each and every concept related to force. and its different types. Therefore,  the mechanical advantage is 3.

A force is an outside entity that has the power to alter a body's state of rest or motion. It has a direction and a magnitude. The point where forces are applied is determined either by the force's direction as well as the application of the force.

Your training at this level should place a major emphasis on the idea which a push or even a pull was refereed to as a force. In our daily lives, forces appear in a variety of ways. as in weight and power. It refers to the force a bat applies to a ball and the strength a hairbrush has when stroking hair.

Mech adv = effort arm / load arm = 15 / 5 = 3

Therefore,  the mechanical advantage is 3.

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The gravitational force on the car is 23000 N, the vertical normal (support/reaction) force acting on the car is 0 N, and the horizontal force on the car's tyres from the road is 5460 N.

Mass of the car, m = 2300 kg

Force acting on the car, F = 5000 N

The initial speed of the car, u = 10 m/s

The final speed of the car, v = 14 m/s

Time, t = 20 s

The gravitational force on the car is calculated by the formula given as

F = mg

F = 2300 × 10

F = 23000 N

Now, as there is no vertical movement in the car therefore the vertical force acting on the car is 0 N.

The horizontal force on the car's tyres from the road

= force acting on the car + net force on the car

= 5000 + ma

= 5000 + 2300 × (v-u)/t

= 5000 + 2300 × (14 - 10)/20

= 5000 + 2300 × 4/20

= 5000 + 460

= 5460 N

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The heat energy of the substance option (A) -1700J is correct.

We are given that,

Heat of fusion of a substance = ΔHf = 42.5J/g

Mass of the substance = m= 40g

The latent heat of fusion is the quantity of heat required to transform one gramme of a substance from a solid to a liquid. But in this case, it's important to figure out how much heat is released as liquid copper solidifies. So, ΔHf = -42.5 J/g

Thus , we have to calculated here the heat energy of the substance by the formula,

q = m·ΔHf

Where, q is heat energy ,m is mass ΔHf is the heat of fusion of a substance,

q = m·ΔHf

q = -42.5 J/g× 40g

q = -1700J

Therefore , the heat energy of the substance would be option (A) -1700J

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If a circular motion is accelerated, it will undoubtedly have a high Turning at a rapid rate.

When an object travels along a circular path at a constant speed, it is said to be in uniform circular motion (UCM).So because object's direction was constantly shifting, the velocity doesn't really remain constant along with the speed.To maintain a circular course, the object must speed up toward the the circle's center.

As the particle moves in a circle, its direction of acceleration is continuously changing since it is continually moving toward the center.As a result, it is variable.

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The first question is asking which phase change occurs when steam is cooled to 100°C. The answer is condensation.

The second question is asking for the term that refers to the amount of energy needed to change a liquid into a gas, without changing its temperature. The answer is heat of vaporization.

The third question is asking in which phase change hydrogen bonds are formed. The answer is freezing.

The fourth question is asking for the amount of energy required to raise the temperature of 20 g of a substance from 72°C to 88°C, given that the specific heat of the substance is 0.215 J/g°C. To solve this problem, you can use the formula Q = m * c * delta T, where Q is the energy required, m is the mass of the substance, c is the specific heat, and delta T is the change in temperature. Plugging in the given values, you get Q = 20 g * 0.215 J/g°C * (88°C - 72°C) = 68.8 J. Therefore, the answer is 68.8 J.

If three subintervals of equal length are used to do midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6, then width of each subinterval is  1.

To find the midpoint Riemann sum, you first need to divide the interval of integration (from 3 to 6) into three subintervals of equal length. You can choose subintervals of equal length manually by dividing the interval of integration into smaller parts. If we let the width of each subinterval be x, then the length of the interval is 6-3 = 3 and the length of each subinterval, x is 3/3 = 1.

Then, you need to find the midpoint of each subinterval by adding the left and right endpoint of each subinterval and dividing by 2.

For example, the first subinterval is from 3 to 4, so the midpoint is (3+4)/2 = 3.5

the second subinterval is from 4 to 5, so the midpoint is (4+5)/2 = 4.5

and the third subinterval is from 5 to 6, so the midpoint is (5+6)/2 = 5.5

To approximate the area under the curve of f(x) for each subinterval, you can use the value of f(x) at the midpoint of each subinterval and multiply it by the width of the subinterval.

--The question is incomplete, answering to the question below--

"Let f be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6. Width of each subinterval is ____."

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This ride increases this person's gravity potential energy by 9000 Joules.

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Weight of the person, W = 6 x 102 N = 600 N

Avg. Speed of elevator, v = 3 m/s

Time of ride, t = 5 sec.

Therefore,

Mass of the person, m = W/g = 600/9.8 = 61.2244 kg

Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m

Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15

                                              PE = 9000 Joule

Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.

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When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.

However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed

The below equation gives the capacitance of a parallel-plate capacitor.

C = ε * A / d

Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.

The energy stored in a capacitor is given by the equation:

Energy = 1/2 * C * V^2

where V is the voltage across the plates and C is the capacitance

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Answer:

C. A turtle relies indirectly on the Sun as an energy source.

Explanation:

Turtles are animals, meaning they are unable to perform photosynthesis, thus option A is inapplicable. Turtles consume food such as algae and seagrass. These aquatic plants gain their energy directly from the Sun through photosynthesis, and as a result when the turtle consumes these plants, that energy from the Sun is indirectly feeding the turtle.

And I can carry my nickels far more easily than you can your bucket of pen-nies. I would prefer to keep every pen-ny. A 40 inch circle would contain about 2507 pen-nies. About 493 nickels would be in a 20 inch circle.

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Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

Compounds 1 and 2 are both used to create liposomes, and their kinetics are controlled. Compound 1 are controlled kinetically, whereas those made from Compound 2 are controlled thermodynamically. UV lasers like nitrogen lasers (337 nm) and frequency-tripled and quadrupled Nd:YAG lasers are frequently used in MALDI methods (355 nm and 266 nm respectively). An artificial substrate for lactase is hydrolyzed to extract lactase from dietary supplement tablets, which is then measured using a colorimetric assay (ortho-nitrophenol-beta-D-galactopyranoside, ONPG). Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

The complete question is- What is the reading of the energy meter in Figure 1 when an appropriate laser is used in PAC to dissociate a particular chemical bond?

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A camera that draws certain current with specified resistance needs a voltage supply which is calculated to be 18 V.

Given that,

Current i = 0.25 A

Resistance r = 72 ohms

Voltage supply v = ?

From Ohm's law, it is defined that, voltage across the conductor is directly proportional to the current flowing through it. Mathematically, it is represented as v = i r

where,

v is the voltage

i is the current

r is the resistance

Putting in the values, we have,

v = i r

v = 0.25 × 72 = 18 V

Thus, the required voltage supply by the camera is calculated to be 18 V.

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It is true that on looking vertically down into the water the black line appears to be closer that it really is.

A material's refractive index, which is quantified, indicates how much a light path is bent or refracted when it penetrates that material.

The critical angle for total internal reflection and the amount of light that is reflected when it reaches the contact are both determined by the index of refraction.

Due to the refraction of light rays as they pass through water and into the air, an item seen in the water typically appears to be deeper than it actually is.

Since the angle subtended by the object is greater, it "appears" larger because the light's refraction away from the normal changes the angle at which the light appears at the eye.

Thus, the given scenario is true.

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As the values are closed to each other, Jane's measurements are precise.

The precision of a substance is defined as the degree to which two or more measurements agree with one another.

It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:

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If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-

Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.

The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.

The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.

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Sound is important because it engages audiences: it helps deliver information, it increases the production value, it evokes emotional responses.

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Displacement is a vector quantity thus, having different directional component. The component of the given displacement to the north is 98.99 m.

The displacement is the measure of how long and in which direction an object is moved from the starting position. Displacement is a vector quantity thus, characterized by a magnitude and direction.

In physics, displacement is the product of velocity and time. The vertical component of the displacement = d sin θ

horizontal component = d cos θ.

The component to the north for a displacement of 140m with the angle of 45° is = 140 × sin 45 = 98.99 m.

Therefore, the north component of the displacement is about 99 m.

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The kinetic energy will the ball acquire from the bat is 1.0x10^1 joules or 100 joules. This calculation is based on the equation Energy = Force x Distance, which is a fundamental equation of physics.

The kinetic energy of the ball is equal to the work done by the bat on the ball. The work done by the bat on the ball is equal to the force applied by the bat multiplied by the distance the bat stays in contact with the ball. Therefore, the kinetic energy of the ball would be equal to 2.0x10^4 newtons multiplied by 5.0x10^-3 meters, which is equal to 1.0x10^1 joules or 100 joules.

This calculation is based on the equation of  Energy which is  Force x Distance. Additionally, this equation can be rearranged to solve for any of the variables, depending on what is known and what needs to be calculated. In this case, the known variables were the force applied by the bat and the distance the bat stayed in contact with the ball, and the variable that needed to be calculated as the kinetic energy of the ball.

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Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.

Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.

hazards to safety

biological threats

bodily dangers

hazards of ergonomics

chemistry risks

threats to organisations during work.

environment-related risks.

Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.

Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.

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These graphs do not consistent with one another because one is graph of potential energy U(x)  vs distance(x)  and two is graph of force (F(x)) vs distance(x).

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:

U(x) = ∫ F(x)dx.

Hence, U(x) ≠ F(x)

That's why, these graphs  do not consistent with one another.

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1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

what is coal used for ?

In the United States, coal is largely utilised as a fuel to create electricity. Bituminous coal, subbituminous coal, or lignite are burnt in coal-fired power plants. The heat generated by coal combustion is utilised to turn water into high-pressure steam, which powers a turbine and generates electricity. According to the US Energy Information Administration, coal-fired power stations provided around 23% of all energy in the United States in 2019.

Steel may also be made from certain kinds of bituminous coal. Coal used to make steel must have a high carbon content while being low in moisture, ash, sulphur, and phosphorus. Metallurgical coal is coal that fits certain requirements.

1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

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Answer: -200,000N

(To be more specific, 200,000N in the opposite direction)

Explanation:

By Newton's 3rd law (Action reaction pair)

The crumple zone exerts a force on the wall, the wall will exert an equal but opposite force on the wall.

Same magnitude -> 200,000N

Opposite direction-> Include a negative sign as force is a vector which depends on both magnitude and direction.

In this spring-mass system, the total energy equals the elastic potential energy at the moment the mass is temporarily at rest at x = A = 6 cm (i.e., at the extreme ends of the simple harmonic motion).

Thus, E kA2 2 and we see that as long as the spring constant k and the amplitude A remain unchanged,

the total energy is unchanged. Hence, the energy is still 12 J.

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The total energy of the skier at the beginning of the slope is 63360 J.

Total energy is the sum of all the energies of a system, including thermal, mechanical, electrical, and chemical. It is the measure of the capacity of a system to do work. It can be expressed as the product of the mass of the system and its velocity squared.

The kinetic energy of the skier at the beginning of the slope is given by the equation KE = .5mv^2, where m is the mass of the skier (in kilograms) and v is the velocity of the skier (in meters per second).

The kinetic energy at the beginning of the slope is (0.5)(72kg)(0m/s)^2 = 0 J. Since the skier was 90 meters high, we can assume a gravitational potential energy of (90m)(9.8m/s^2)(72kg) = 63360 J.

Therefore, the total energy of the skier at the beginning of the slope is 63360 J.

At the end of the slope, the skier converts the energy into sound and heat energy. The sound energy of 64 J is given. Therefore, the heat energy must be 63360 - 64 = 63296 J. This is the amount of energy converted to heat energy from the collision.

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When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².

To find Justine's final velocity, we can use the equation:

v = u + at

where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So

v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s

To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:

v = u + at

where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.

Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.

so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds

It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.

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When using a 20 ft ladder the distance from a building should be the base of the ladder by 5 ft

The base of a ladder should be positioned one-quarter of the working length of the ladder from the building. Therefore, when using a 20 ft ladder, the base should be positioned 5 ft from the building. Additionally, the ladder should be placed on a solid and level surface, and the feet of the ladder should be securely wedged to prevent slipping.

Extend the top of the ladder three feet above the work table to get access to it, or fasten the ladder at the top.

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