A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration? Hurrying to an emergency, a nurse gives a sharp push to the closed door. The door swings open against the pneumatic device, slowing down and then reversing its motion. At the moment the door is open the widest, (c) does the doorknob have a centripetal acceleration? (d) Does it have a tangential acceleration?

The image will form at the focal point

1/object + 1/image = 1/focal

If the object distance is infinite then the image distance equals the focal distance

The resistance of the lightbulb that uses an average power of 53.5 W

To find the resistance of the lightbulb that uses an average power of 53.5 W when connected to a 60 Hz power source with a maximum voltage of 145 V, we can follow these steps:

1. Determine the RMS (Root Mean Square) voltage:
Vrms = Vmax / √2
Vrms = 145 V / √2
Vrms ≈ 102.53 V

2. Calculate the average current using the power formula:
P = Vrms × Irms
53.5 W = 102.53 V × Irms
Irms = 53.5 W / 102.53 V
Irms ≈ 0.522 A

3. Determine the resistance using Ohm's Law:
R = Vrms / Irms
R = 102.53 V / 0.522 A
R ≈ 196.38 Ω

So, the resistance of the lightbulb that uses an average power of 53.5 W when connected to a 60 Hz power source with a maximum voltage of 145 V is approximately 196.38 Ω.

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s(t0) = ||v(t0)|| is the speed s(t) of a particle with a given trajectory at a time t 0 (in units of meters and seconds).

To determine the speed s(t) of a particle with a given trajectory at a specific time t0, you need to consider its position function r(t) in meters. The position function describes the particle's location in space at any given time t. In order to find the speed, you must first compute the particle's velocity vector v(t), which is the derivative of the position function r(t) with respect to time:

v(t) = dr(t)/dt

The velocity vector v(t) not only provides the particle's rate of change in position but also its direction. However, to determine the speed s(t), which is a scalar quantity, you need to find the magnitude of the velocity vector. This is achieved by taking the norm of v(t):

s(t) = ||v(t)||

To find the speed of the particle at a specific time t0, you must evaluate the magnitude of the velocity vector at that particular moment:

s(t0) = ||v(t0)||

By calculating the speed s(t) of the particle at time t0, you obtain the instantaneous rate at which the particle is moving through space, measured in meters per second. It is important to note that speed is a scalar quantity, meaning it only provides information about the magnitude of the particle's movement and not its direction.

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Complete Question:

Determine the speed s(t) of a particle with given trajectory at a time t0 (in units of meters and seconds). c(t) = (3 sin 8t, 7 cos 8t), t = \(\pi\)/4

Answer:

the ebergy

Explanation:

energy does it have if a miving object

Answer:

ΔL = 1.2 10⁻³ m

Explanation:

The expression for thermal expansion is

        ΔL = α L₀ ΔT

in this case it indicates that the length is L₀ = 5 m for T₀ = 20C the final temperature is T_f = 40 C

the table shows the value of thermal expansion for steel α = 12 10⁻⁶ C⁻¹

let's calculate

        ΔL = 12 10⁻⁶  5 (40 -20)

        ΔL = 1.2 10⁻³ m

Answer:

The magnetic field strength is H=I/2πr

Explanation:

A current I through a long, straight wire produces a magnetic field with strength H=2πr at distance of r from the wire. So the field strength is inversely proportional to the distance from the wire.

Answer: 40J

Explanation:

Gravitational potential energy is defined as the mass of the object, multiplied by the acceleration due to gravity, and the height from your arbitrary reference point. If we assume that the floor has a gravitational potential of zero, then the gravitational potential of the book on the shelf would be:

\(U=mgh\)

We were given the weight of the book, not the mass. In order to find the mass of the book, we need to divide the weight by the acceleration of gravity. We have that:

\(Mass=Weight/Gravity\)

\(Mass=16N/9.8m/s^2\)

\(Mass=1.63kg\)

Plug everything into the gravitational potential formula to get:

\(U=(1.63kg)*(9.8m/s^2)*(2.5m)\)

\(U=40J\)

The gravitational potential energy of the book placed 2.5 m above from the ground is 40 joules.

The energy of the body due to its position with reference to some other body is called the potential energy of the two - body system.

Given is an object whose weight is 16 N placed on a shelf that is 2.5 m from the ground.

The weight of the book is -

W = mg = 16 N

The gravitational potential energy of the book will be -

E = mgh = 16 x 2.5 = 40 joules

Therefore, the gravitational potential energy of the book placed 2.5 m above from the ground is 40 joules.

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Explanation:

A fixed point is a point x such that. f(x) = x . Graphically, these are exactly those points where the graph of f, whose equation.

Answer:

a fix joint is a point x such that.f (x) = x.

Explanation:

Graphically, these are execty those point where the graph of f, whose equation.

The kinetic energy of everyday-sized objects and the potential energy that results from gravity are both forms of mechanical energy.

Kinetic energy and potential energy are the two types of mechanical energy.

The quantity of potential energy a thing possesses and the amount of kinetic energy it is capable of producing determine mechanical conversion.

Regardless of potential, creating power requires energy from motion, without which many energy-generating sources would not function.

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

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Answer:

69 meters

Explanation:

Answer:

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F/N, where F is the frictional force and N is the normal force.

Answer:

V = 9 volts

Explanation:

Ohm's Law gives a relationship between the voltage supply and the current passing through a circuit. The formula given by the Ohm's Law is written as follows:

V = IR

where,

V = Voltage supplied to the charger = ?

I = Current flowing through the circuit of the charger = 0.2 A

R = Resistance of the charger = 45 Ohms

Therefore, using these values in the equation, we get:

V = (0.2 A)(45 Ohms)

V = 9 volts

To solve for the mass, use and derive the following formula for the momentum problem:

p = mv

m = p / v

where:

m is the mass if the object

p is the momentum (24,500 kg•m/s.)

v is the velocity of the object (20 m/s.)

m = p / v

m = 24, 500 kg•m/s ÷ 20 m/s

m = 1225 kg.

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Answer: Green line

Explanation:

When an object is moving at constant velocity or speed rather, the line on a graph will be represented by a straight line.

They would be maintaining the same speed over a period of time so on a graph with time like the above, their journey would appear to be horizontal which would make the green line correct.

Answer:

Hope this helps!!!

Explanation:

a) Buoyant force acting on the balloon is 1429.68 N ; b)Net force on the balloon is 1282.53 N.

An upward force exerted by a fluid that opposes the weight of a partially or fully immersed object is called buoyant force.

Given, radius of balloon, r is 3 m ; Mass of balloon with instruments, m = 15 kg ; Acceleration due to gravity, g = 9.81 m/s² and Density of air, ρ  is 1.29 kg/m3

a) Volume of balloon is ;

V= 4/3 π r³

= 4/3 π (3)³

= 113.09 m³

Buoyant force , F = ρ v g

= 1.29 * 113.09 * 9.8

So, F = 1429.68 N

Buoyant force acting on balloon is 1429.68 N

b) Net force acting on the balloon is ;

Fn = F -W

=  1429.68  - ( 15 * 9.81)

= 1429.68  - 147.15

So, Fn = 1282.53 N

Net force on the balloon is 1282.53 N.

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Define the term algorithm:

The term algorithm means a step-by-step detailed instruction that solves a problem.

Give one example of an algorithm that can be used to solve a problem:

One example of an algorithm that can be used to solve a problem is using an ordered step to start a car. There are specific steps that people would follow to start up a car. Each step relies on one another, without the other, the problem may not work correctly. Since the steps to starting a car are reliant on each other, this can show you that this is an example of an algorithm.  

An algorithm is a collection of guidelines for resolving a dilemma or carrying out a task. A recipe, which consists of detailed directions for creating a dish or meal, is a typical illustration of an algorithm.

An algorithm is a standard formula or set of instructions that has a finite number of steps or instructions for using a computer to solve a problem.

The time complexity is a measurement of how long an algorithm takes to run until it completes the task in relation to the size of the input.

Flowcharts can be used to illustrate algorithms, an algorithm for a process or workflow can be graphically represented in a flowchart.

Therefore, an algorithm is a collection of guidelines for resolving a dilemma or carrying out a task.

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Aquifers are an example of geosphere and hydrosphere interacting.

The geosphere refers to the solid part of the Earth, including the rocks, minerals, and landforms. Aquifers are underground layers of porous rock or sediment that hold and transmit water. They are a component of the geosphere.

The hydrosphere is the part of the Earth that includes all water in various forms, such as oceans, lakes, rivers, and groundwater. Aquifers are underground reservoirs of water that store and supply groundwater, which is an integral part of the hydrosphere.

Therefore, aquifers illustrate the interaction between the geosphere and the hydrosphere, as they involve the movement and storage of water within the Earth's subsurface layers.

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The information given in the question is not sufficient to determine the mass of the car. Force (F) is given in joules (J), which is a unit of energy, and cannot be directly used to determine the mass of the car.

Additionally, speed (v) is given in miles per hour (mph), which is not a standard unit in the SI system of units.

To calculate the mass of the car, we need either the acceleration or the time for which the force is applied. Once we have either of these values, we can use the equation:

F = ma

where F is the force, m is the mass, and a is the acceleration.

We also need to convert the speed from mph to m/s, which is the standard unit of velocity in the SI system. To do this, we can use the conversion factor:

1 mph = 0.44704 m/s

So, 32 mph = 32 × 0.44704 = 14.33168 m/s

Without additional information about the acceleration or time, we cannot calculate the mass of the car. Mass is a fundamental physical quantity that measures the amount of matter in an object. It is typically measured in kilograms (kg) or grams (g). Mass is distinct from weight, which is the force exerted on an object due to gravity.

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Answer:

The  reflected spot will appear to be closer than when  the aquarium was empty.

N1 sin θ1 = N2 sin θ2         N1 is in air and equals 1, N2 is greater than one

θ2 is measured from the vertical and the ray is less than θ1

The distance to spot is less so it appears closer

(Consider a spot directly below the pointer    L1 = N2 L2)

If N2 = 4/3 then L2 would be 3/4 L1

Answer:

i donk know

Explanation:

If Cora draws a model of an atom with two protons, four neutrons and two electrons, it will look like this; a green cloud with 1 concentric white line that surrounds the center, with2 small green balls marked with minus signs. At the center of her model, she will draw 4 unmarked red balls interspersed with 2 blue balls marked with plus signs.

The options to your question seems clustered, but if separated, I'm sure this is what it would look like;

A.) at the center, 2 unmarked red balls are interspersed with 4 blue balls marked  with plus signs.

B.)a green cloud with 1 concentric white line surrounds the center, with 2 small green balls marked with minus signs on the white line. at the center, 4 unmarked red balls are interspersed with 2 blue balls marked with plus signs

C.)a green cloud with 1 white line surrounds the center, with 2 small green balls marked with minus signs on the white line. at the center, 2 unmarked red balls are interspersed with 2 blue balls marked with plus signs.

D.) a green cloud with 1 white line surrounds the center, with 4 small green balls marked with minus signs on the white line. at the center, 4 unmarked red balls are interspersed with 2 blue balls marked with plus signs.

E.)a green cloud with 1 white line surrounds the center, with 4 small green balls marked with minus signs on the white line.

When arranged like this, the answer to the question will be option B. The green cloud represents the nucleus of the model atom. The white line that surrounds the green cloud ( nucleus ) represents the orbit or shell. Therefore, the small green balls marked with minus signs are the electrons, as they are negatively charged and are found on the orbit/shell of an atom.

The unmarked red ball at the center of the model represents the neutron. Neutrons have no charge which is shown by the red balls not being marked by any sign.  The blue balls marked with a plus sign are the protons since they are positively charged.

The atom Cora wants to draw contains two protons, four neutrons and two electrons, therefore her model will contain 2 small green balls marked with minus sign as the electrons, 4 unmarked red balls as the neutrons and 2 blue balls with a plus sign as the protons. Hence the answer is option B.

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BMI weight is calculated by D. Multiply weight by 703.

BMI (Body Mass Index) weight is calculated by dividing a person's weight in kilograms by their height in meters squared.

The formula for calculating BMI is: BMI = weight (kg) / height² (m²).

Therefore, the correct option for how BMI weight is calculated is  Multiply weight by 703. This is because the weight is multiplied by 703 to convert it from pounds to kilograms, and the height is converted from feet and inches to meters before being squared and used in the formula.

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The answer to the given question is option C: 40.4°F. Let's see the explanation below.How to find the temperature difference across a properly operating electric furnace?

]We know that the temperature difference across a properly operating electric furnace is given by:ΔT = (Q / (1.08 * CFM))where,Q is the rate of heat input in BTU/hr,1.08 is the factor to convert CFM to lb/min,and CFM is the rate of air flow in cubic feet per minute.So, here,ΔT = (Q / (1.08 * CFM))

Given,The rate of heat input = 10 kW = 34,120 BTU/hrThe rate of air flow = 900 CFMPlugging these values in the above equation, we get:ΔT = (34,120 / (1.08 × 900))ΔT = 40.4°FTherefore, the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air is 40.4°F. Hence, the main answer is option C.

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The temperature difference across the electric furnace is approximately 30.2°F (option A).

To calculate the temperature difference across the electric furnace, we can use the formula:

Temperature difference (ΔT) = Heat (Q) / (Airflow rate * Specific heat capacity * Density)

First, let's convert the power of the electric heater from kilowatts (kW) to watts (W):

10 kW = 10,000 W

Next, we need to determine the specific heat capacity of air. Typically, it is around 0.24 BTU/lb°F.

Since the given airflow rate is in cubic feet per minute (cfm), we need to convert it to pounds per minute (lb/min) using the density of air. The density of air at standard conditions is approximately 0.075 lb/ft³.

Converting 900 cfm to lb/min:

900 cfm * 0.075 lb/ft³ = 67.5 lb/min

Now we can substitute the values into the formula:

ΔT = 10,000 W / (67.5 lb/min * 0.24 BTU/lb°F * 0.075 lb/ft³)

Simplifying the equation:

ΔT = 10,000 W / (67.5 * 0.24 * 0.075) (lb/min * BTU/lb°F * lb/ft³)

Calculating the result:

ΔT ≈ 30.2°F

Therefore, the temperature difference across the electric furnace is approximately 30.2°F, which corresponds to option A.

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The fraction of the substance remaining is 6.25%.

The amount of substance left is calculated as follows;

N = N₀(1/2)^(t/T)

where;

T is the half-life of the substance,

we have;

N₀ = 100g,

T = 5670 years, and

t = 22680 years

N = 100 x (1/2)^(22680/5670)

N = 6.25 g

The fraction remaining is calculated as follows

fraction remaining = N/N₀

fraction remaining = 6.25/100

fraction remaining = 0.0625 or 6.25%

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Two football players are running towards each other in a straight line (exact opposite directions). Player A is running at 3.3 m/s and has a mass of 105 kg. Player B is 126 kg.

The players collide and their net momentum after the collision is 0 Ns. How fast was Player B running before they collided? The law of conservation of momentum states that in a closed system, the total momentum remains constant. Therefore, the total momentum of both players before collision equals the total momentum of both players after collision. This means: mA * VA + mB * VB = (mA + mB) * V, where VA and VB are the initial velocities of A and B, respectively, and V is their final velocity after the collision (which is 0).

So, we can rearrange the above equation to solve for VB. VB = (mA * VA) / mB Here, mA = 105 kg and VA = 3.3 m/s, and mB = 126 kg. Substituting the values, we get: VB = (105 * 3.3) / 126= 2.75 m/s Therefore, Player B was running at 2.75 m/s before they collided.

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