Find the work done by f in moving a particle once counterclockwise around the given curve. f=(4x-2y)i (2x-4y)j, c: (x-5)^2 (y-5)^2=25

Answer:

a = 0.41 [m/s²]

Explanation:

To solve this problem we must use Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

where:

F = force [N]

m = mass = 87 [kg]

a = acceleration [m/s²]

The frictional force will be taken as negative, since it opposes the movement of the block.

\(43-7.3 = 87*a\\35.7 = 87*a\\a=0.41[m/s^{2} ]\)

Answer: perpendicular to the plane

Explanation:

Answer:

Option (3)

Explanation:

From the graph attached,

Zeros of the function are, x = -3,

Graph of the polynomial touches x axis at x = -3, 1 and 3

Therefore, equation of the given function will be in the form of,

P(x) = \(k(x+3)^a(x-1)^b(x-3)^c\)

Since, graph of the function just touches the x-axis, multiplicity of zero at x = -3 will be even and crosses x-axis so the multiplicity at x = 1 and 3 will be odd.

Therefore, possible function will be,

P(x) = \(k(x+3)^2(x-1)(x-3)\)

Since, y-intercept of the function is at (0, -3),

P(0) = k(0 + 3)²(0 - 1)(0 - 3)

-3 = 27k

k = \(-\frac{3}{27}=-\frac{1}{9}\)

Therefore, given polynomial function is,

P(x) = \(-\frac{1}{9}(x+3)^{2}(x-1)(x-3)\)

Option (3) will be the correct option.

The statement that must be true of an extended body experiencing a net force of zero is that the center of mass of the extended body is not accelerating.

When an extended body experiences a net force of zero, it means that the vector sum of all the forces acting on the body is zero. According to Newton's second law of motion, F = ma, where F is the net force, m is the mass, and a is the acceleration. Since the net force is zero, the acceleration of the body is also zero. In an extended body, different parts of the body may experience different forces, causing them to accelerate or decelerate. However, the center of mass of the body represents the point where the body's total mass is concentrated. If the net force is zero, the center of mass remains at rest or moves with a constant velocity, indicating that it is not accelerating.

Therefore, the correct statement is that the center of mass of the extended body is not accelerating.

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Answer:

C. precipitation

Explanation:

if clouds store too much water from evaporation, it will rain which is precipitation

Answer:

A

Explanation:

Because the item's kinetic energy is constant, the mechanical energy of the object is also constant.

according to this option C) is correct.

Relationship between mechanical and kinetic energy?

Mechanical energy is the combination of stored (potential energy) and moving (kinetic energy), and it depends on the location and velocity of an item. In other words, mechanical energy is produced when an object's kinetic and potential energy are combined.

What does kinetic energy precisely mean?

Kinetic energy is the power that an object possesses as a result of motion. To accelerate anything, a force must be applied to it. Applying force requires effort on our part. Energy is supplied to the object when the task is completed, which causes it to travel at a new, constant pace.

What is the SI symbol for kinetic energy?

S.I unit of kinetic energy is joule(J).

What examples of kinetic energy are there?

The energy of motion is known as kinetic energy, and it may be observed in the motion of a particle, an object, or a collection of particles. A person walking, a baseball being thrown, a piece of food falling off a table, or a charged particle in an electric field are all examples of moving objects that consume kinetic energy.

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I understand that the question you are looking for is:

For the system that only includes the object, which of the following claims best describes what happens to the mechanical energy of the system while the object is moving from the bottom of the ramp to the top of the ramp?

a)The mechanical energy of the object increases because the gravitational potential energy increases as the object moves up the ramp.

b)The mechanical energy of the object decreases because the force due to gravity from Earth does negative work on the object as it moves up the ramp.

c)The mechanical energy of the object is constant because the kinetic energy of the object is constant.

A determination of the change of the mechanical energy of the object cannot be made without knowing the power of the motor that is used to move the conveyor belt.

The plane's acceleration that reached a speed of 88 m/s in order to gain enough lift force need to take off and fly through the air is 4.47m/s².

The acceleration of a moving body can be calculated by using the following formula;

a = (v - u)/t

Where;

According to this question, an airplane must reach a speed of 88 m/s in order to gain enough lift force need to take off and fly through the air. The acceleration can be calculated as follows:

a = 88m/s ÷ 19.7s

a = 4.47m/s²

Therefore, the plane's acceleration that reached a speed of 88 m/s in order to gain enough lift force need to take off and fly through the air is 4.47m/s².

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Answer:

D) the moon would stay in one position relative to earth and sun

if the moon were always opposite the sun we would always see a full moon

The sun rotates about the earth once every 366 days (if the earth did not rotate we would see a complete rotation of the sun every 366.25 days)

In one year there 365.25 rotations of the sun about the earth

366.25 days for the earth to rotate - 1 day because of the earth about the sun = 365.25 the length of a day that we observe

(Note the difference between a "sidereal" day and an "astronomical" day)

The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.

The correct option to the given question is option a.

The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.

This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.

If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.

Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.

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A device that uses electromagnetic induction to transfer electrical energy from one circuit to another is a transformer.

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a) Tina drives approximately 69.93 meters before passing David.

b) Her speed as she passes him is approximately 34.77 m/s.

To find the distance Tina drives before passing David, we can use the equation:

\(\[d = ut + \frac{1}{2}at^2\]\)

where:

d is the distance traveled,

u is the initial velocity (0 m/s for Tina),

a is the acceleration (2.90 m/s² for Tina), and

t is the time.

First, we need to determine the time it takes for Tina to catch up with David. Since David is driving at a constant speed of 31.0 m/s, the time Tina needs to catch up can be found using the equation:

\(\[t = \frac{d}{v}\]\)

where:

\(\(t\)\)  is the time,

\(\(d\) \\\) is the initial distance between Tina and David (0 m), and

v  is the relative velocity of Tina with respect to David (31.0 m/s).

Substituting the values, we find:

\(\[t = \frac{0\,m}{31.0\,m/s} = 0\,s\]\)

Since Tina begins to accelerate at the instant when David passes, she starts from rest and requires no time to catch up.

a) Using the equation for distance, we find:

\(\[d = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2}(2.90\,m/s²)(0\,s)^2 = 0\,m\]\)

Therefore, Tina does not drive any distance before passing David.

b) Since Tina catches up with David at the same instant he passes, her speed is equal to his speed. Thus, her speed as she passes him is approximately 31.0 m/s.

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Tina drives approximately 158.2 meters before passing David. Tina's speed as she passes David is 31.0 m/s.

To find the distance Tina drives before passing David, we need to determine the time it takes for Tina to catch up with David first. We can use the equation:

d = v0t + 0.5at2

Where d is the distance, v0 is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation to solve for t:

t = (v - v0) / a

Substituting the given values:

t = (0 - 31.0 m/s) / (-2.90 m/s²)

t ≈ 10.69 seconds

To find the distance:

d = v0t + 0.5at2

d = 0 + 0.5(-2.90 m/s²)(10.69 s)2

d ≈ 158.2 meters

Therefore, Tina drives approximately 158.2 meters before passing David.

To find Tina's speed as she passes David, we can use the equation:

v = v0 + at

Substituting the given values:

v = 0 m/s + (2.90 m/s²)(10.69 s)

v ≈ 31.0 m/s

Therefore, Tina's speed as she passes David is 31.0 m/s.

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Answer:

I think its C and D

Explanation:Force is like a energy that moves stuff. :)

When a parallel beam of light passes through a convex lens, the rays become farther from one another when the come out. This process of rays is called ''to diverge''. The concave lens makes rays of light diverge, so it is called diverging lens.

The deflection of the beam is zero everywhere, so the normalized deflection is also zero, i.e., \(yEl/w₀L⁴\) = 0 for all values of x/L.

To find the deflection of the beam, we need to solve the differential equation governing its behavior. For this particular case, the differential equation is given by:

d²y/dx² = -w(x)/(EI)

where y(x) is the deflection of the beam at position x, E is the modulus of elasticity of the material, I is the moment of inertia of the cross-section of the beam, and w(x) is the load distribution.

Substituting the given load distribution into the differential equation, we get:

d²y/dx² = -(W₀πx/2Lsin(x/L))/(EI)

This is a second-order linear differential equation, which can be solved using standard techniques. One way to solve it is by assuming a solution of the form:

y(x) = a sin(λx) + b cos(λx)

where λ is a constant that we need to determine, and a and b are constants that depend on the boundary conditions. Since the beam is embedded at its left end (x=0), the deflection and slope must both be zero at that point:

y(0) = 0

\(dy\)/dx(0) = 0

Substituting these boundary conditions into the assumed solution, we get:

y(0) = a sin(0) + b cos(0) = b = 0

\(dy\)/dx(0) = a λ cos(0) = 0

Since a cannot be zero, this implies that λ = 0. Therefore, the general solution for the deflection of the beam is given by:

y(x) = a sin(0) + b cos(0) = a

To determine the constant a, we can use the boundary condition that the deflection at the free end (x = L) is zero:

y(L) = a sin(0) = 0

This implies that a = 0, so the deflection of the beam is zero everywhere.

Therefore, the normalized deflection is also zero everywhere, which can be expressed as \(yEl/w₀L⁴\) = 0 for all values of x/L.

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Explanation:

The principle of an electric motor is based on the current carrying conductor which produces magnetic field around it. A current carrying conductor is placed perpendicular to the magnetic field so that it experiences a force.

The largest electric motors are used for ship propulsion, pipeline compression and pumped-storage applications with ratings reaching 100 megawatts. Electric motors are found in industrial fans, blowers and pumps, machine tools, household appliances, power tools and disk drives.

The quantity used to measure an object's resistance to changes in rotational motion is called moment of inertia or rotational inertia. Moment of inertia quantifies how mass is distributed in an object relative to its axis of rotation. It determines how difficult it is to accelerate or decelerate an object's rotational motion.

Definition: Moment of inertia, often represented by the symbol I, is calculated by summing the product of each individual mass element in an object and its square distance from the axis of rotation. Mathematically, it is expressed as:

I = ∫ r² dm

Where r is the perpendicular distance from the mass element to the axis of rotation, and dm represents an infinitesimally small mass element within the object.

Distribution of Mass: The moment of inertia depends not only on the total mass of an object but also on how that mass is distributed relative to the axis of rotation. Objects with more mass concentrated farther from the axis of rotation have higher moments of inertia and are more resistant to changes in rotational motion.

Rotational Analog of Mass: In linear motion, mass is a measure of an object's resistance to changes in linear motion (acceleration or deceleration). Similarly, moment of inertia serves as the rotational analog of mass. Objects with higher moments of inertia require more torque (a rotational force) to accelerate or decelerate their rotational motion.

Shape Dependence: The moment of inertia also depends on the object's shape. Objects with more mass concentrated farther from the axis of rotation have larger moments of inertia. For example, a solid disk has a greater moment of inertia compared to a hollow disk with the same mass and outer radius, as more mass is distributed farther from the axis in the solid disk.

Application: The concept of moment of inertia is essential in understanding rotational motion and is used in various practical applications. For instance, it is crucial in engineering and design to determine the stability of rotating systems, such as flywheels, gears, and spinning tops. It is also relevant in physics, explaining phenomena like angular acceleration, conservation of angular momentum, and the behavior of objects rolling or sliding down inclined surfaces.

In summary, the moment of inertia is the quantity used to measure an object's resistance to changes in rotational motion. It takes into account the distribution of mass relative to the axis of rotation and determines how difficult it is to alter an object's rotational speed or change its direction of rotation.

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the spine is divided into four main regions: cervical, thoracic, lumbar and sacral.

Have an amazing day! <3

Answer:

 W = 500 J

Explanation:

Work is defined by

         W = F . x

if we develop the dot product

         W = F x cos θ

where is the angle between the force and the displacement, in this case the angle is zero, so cos 0 = 1

          W = F x

indicate that each person applies a force of 500 N, so the total force is

         F = 1000 N

let's reduce the distance to the SI system

          x = 50 cm = 0.50 m

let's calculate

          W = 1000 0.50

          W = 500 J

my views

Explanation:

Figure (8) shows a rod made up of copper and wood joined together. The rod is heated at the joint in the centre for about a minute. At which point – A, B, C or D, would it show the lowest temperature? PLEASE GIVE REASONS ALSO(MINIMUM 2)

Answer:

22. is A and 23. is C

Explanation:

Impulse of the force exerted by the ball on the wall  is -10 N s.

A ball of mass 0.2kg is thrown against the wall, the ball strikes the wall normally with velocity of 30m/s sand rebounds with velocity of 20m/s.  

Ball mass, m = 0.2kg

Initial velocity of the ball, u = 30m/s

Final velocity of the ball, v = -20m/s (As it rebounds, the velocity is negative)

To find Impulse,

I = change in momentum

The initial momentum of the ball,

P1 = m * u

The final momentum of the ball,

P2 = m * v

I = P2 - P1I = m * v - m * u

I = m (v - u)

Substituting the values

I = 0.2 kg (-20 m/s - 30 m/s)I

= 0.2 kg (-50 m/s)I

= -10 N s

Therefore, the impulse of the force exerted by the ball on the wall is -10 N s.

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The average kinetic energy of gas particles is proportional to the absolute temperature of the gas, says the kinetic molecular theory.

The average kinetic energy of a material's particle's is directly proportional to the temperature of that substance in Kelvin. For instance, the average kinetic energy of hydrogen gas particles at 200 K is double that of hydrogen gas particles at 100 K. Thus, it follows that the average kinetic energy of the molecules in a gas is exactly proportional to its temperature and is unaffected by the gas's pressure, volume, or composition. This key finding therefore connects the average kinetic energy of a molecule with the gas's temperature. The absolute temperature of the gas determines the average kinetic energy of the gas particles, and all gases with the same temperature have the same average kinetic energy.

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SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-

They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.

Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.

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The focal length of the power lens is 54.05 mm.

The focal length of reading glasses found on the rack in a pharmacy depends on its lens power. Lens power can be defined as the ability of the optical device to see. It can be represented by a dioptre unit. The relaxed power formula is

P = 100/f

where P is the power of the lens in dioptre, and f is the focal length.

From the question above, the given parameter is

P = 1.85 d

By substituting the given parameters, we can calculate the focal length

P = 100/f

1.85 = 100/f

f = 54.05 mm

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Answer:

Kg*m/s²

Explanation:

The force of friction of the cart of mass 16.4 kg is 159.18 N.

Friction is the force that opposes the motion of two bodies in contact.

To calculate the force of friction acting on the cart, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force of friction is 159.18 N.

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