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1. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting

2. Alicia’s coach thinks that she should try some interval training so that she can get some anaerobic activity. Which of these would be BEST for Alicia to add to her routine?
A.
biking with occasional sprints
B.
meditation several times a day
C.
taking stairs instead of escalators
D.
running at a steady pace for miles

3. You should be very ambitious when setting personal goals for health.
A.
True
B.
False

4. Imagine that you are going to make an exercise routine. If your goal was to develop your health rather than one specific improvement, what should be in your plan?
A.
a focus on the benefits of stretching
B.
a variety of aerobic and anaerobic exercises
C.
a single exercise with increasing intensity
D.
an exercise that you have never tried before

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The maximum speed with which the car can round the curve is 12.1 m/s

The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.

The force produced between surfaces that slide against one another is known as the frictional force.  Because frictional force develops when two surfaces come into contact with one another, it is referred to be a contact force. Walking on the road is an illustration of frictional force.

According to the given information

radius, \($r=30 \mathrm{~m}$\)

coefficient of friction, \($\mu_k=0.50$\)

Here friction : force will balance centripetal force.

\($\begin{aligned} &\left(F_k=\text { Friction force })\right. \\ & F_k=\frac{m v^2}{r} \\ & \mu m_g=\frac{m v^2}{r} \\ & \mu g=\frac{v^2}{r} \\ & v^2=r \mu g=30 \times 0.5 \times 9.8 \\ & v=12.1 \mathrm{~m} / \mathrm{s}\end{aligned}$\)

The maximum speed with which the car can round the curve is 12.1 m/s

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Answer: 11

Explanation:

Edwin Hubble studied the Andromeda galaxy and found that it was an individual galaxy and not part of our own milky way is Hubble discovered this by observing a variable star, known as a Cepheid variable, in the Andromeda galaxy and measured its distance from Earth.

The Cepheid variable was used to measure the galaxy's distance because the star's brightness varied predictably, and the brightness was directly related to its distance from Earth. By studying the Andromeda galaxy, Hubble discovered that it was much farther away from Earth than originally thought, and it was actually a separate galaxy rather than a part of the Milky Way.

This discovery proved the existence of other galaxies outside of our own Milky Way, which was a groundbreaking finding at the time and paved the way for modern astronomy. Overall, Hubble's study of the Andromeda galaxy provided significant evidence to support the theory that the universe was much larger than previously thought and made a huge contribution to our understanding of the universe.

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Resolving power refers to the ability of a lens to distinguish between two closely spaced objects. It is determined by the wavelength of light and the numerical aperture of the lens.

Magnifying power, on the other hand, refers to the ability of a lens to enlarge the size of an object. It is determined by the focal length of the lens.
The term "parfocal" refers to a type of lens system where multiple lenses have the same focal point when the focus is adjusted. This means that when switching between different lenses, the focus remains the same, making it easier for the user to switch between lenses without losing focus.
Differentiating between the resolving power and magnifying power of a lens involves understanding their respective functions. Resolving power refers to the ability of a lens to distinguish between two closely spaced objects, or in other words, the clarity with which the lens can produce an image. Magnifying power, on the other hand, refers to the degree to which a lens can enlarge the image of an object.

The term "parfocal" is used to describe a set of lenses that, when interchanged on a microscope or other optical instrument, maintain their focus on the same object. This means that when you switch from one parfocal lens to another, only minimal adjustments to the focus are needed, allowing for a seamless transition between lenses with different magnifying powers.

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Resolving Power: It is the ability of a lens to separate or distinguish between closely spaced objects, reflecting the detail that can be seen with the lens.

Magnifying Power: It denotes how much larger an object appears through a lens compared to its actual size. High magnification doesn't necessarily mean better image quality.

Parfocal: This term refers to lenses that remain in focus even when the magnification or focal length changes. It enables swift adjustments in magnification without needing constant refocusing.

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Answer:

B . Kinetic energy increases and potential energy decreases when the velocity of an object increases.

Explanation:

The statement with best compares potential energy and kinetic energy is that only kinetic energy increases when the velocity of the object increases.

The voltage output of the transformer used for rechargeable flashlight batteries is 1.97 V.

A transformer is a device that alters the voltage of AC electricity by magnetic induction. It can either raise (step up) or lower (step down) the voltage. The voltage ratio of a transformer is directly proportional to the number of turns in the primary and secondary coils.

The voltage output (in volts) of a transformer used for rechargeable flashlight batteries is 1.97 V if its primary has 485 turns, its secondary 8 turns, and the input voltage is 122 V.

The voltage ratio of a transformer is given by the following formula:

Number of turns in the secondary coil / Number of turns in the primary coil = Voltage output / Input voltage

Using the given values: Number of turns in the secondary coil = 8

Number of turns in the primary coil = 485

Input voltage = 122 V

Voltage output = ?

Therefore: 8/485 = Voltage output / 122

Simplifying the equation: Voltage output = (8/485) × 122 = 1.97 V

Therefore, the voltage output of the transformer used for rechargeable flashlight batteries is 1.97 V.

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The critical angle for total internal reflection is the angle of incidence at which the angle of refraction is 90 degrees. It can be calculated using Snell's law, which relates the angles of incidence and refraction to the refractive indices of the two media:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

where n₁ is the refractive index of the incident medium (air), n₂ is the refractive index of the refracting medium (the material), θ₁ is the angle of incidence, and θ₂ is the angle of refraction.

When the angle of incidence is greater than the critical angle, the angle of refraction becomes greater than 90 degrees, and the light is totally reflected back into the material. Therefore, to find the critical angle, we need to find the angle of incidence at which the angle of refraction is 90 degrees.

Since air has a refractive index of approximately 1, we can simplify Snell's law to:

sin(θ₁) = n₂ / 1

sin(θ₁) = n₂

Using the given refractive index of the material, we have:

sin(θ₁) = 1.40

To find the critical angle, we need to solve for θ₁ such that sin(θ₁) = 1.40. However, this is not possible since the sine function has a maximum value of 1. Therefore, there is no critical angle for total internal reflection for light leaving this material into air. This means that any light entering the material from air will refract into the material at all angles, and none of it will be totally reflected back into the air.

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Answer:

\(4.5(10)^8\) joules

Explanation:

Mass–energy equivalence is the principle that says that anything that has mass has an equivalent amount of energy. Converse is also true.

The relation between energy and mass is given by \(E=mc^2\)

Here, E denotes energy, m denotes mass and c denotes speed of light

Mass \((m)=1.5\,\,kg\)

Speed of light (c) = 3 × \(10^8\) m/s

Therefore,

\(E=1.5(3)(10)^8=4.5(10)^8\)  joules.

The S.I. unit of energy is joules which is equal to \(1\,\,kg\,\,m^2/s^2\)

For each charge, the direction of the magnetic force can be determined using the right-hand rule. For the last one, the direction of the magnetic field can be determined by observing the direction of the current.

The right-hand formula can be used to calculate the direction of the magnetic field for each charge. According to the formula, if you aim your right thumb in the direction of the charged particle's velocity and your fingers in the direction of the magnetic field, the way your hand confronts is the magnetic force direction.

To identify the direction of the magnetic field for the final charge, examine the direction of the current. The magnetic field is perpendicular to the current and can also be calculated with the right-hand formula.

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99.16 Newtons is the new force of attraction between the particles.

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

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Consequently, it is 3.16×10⁻⁴m away from the plate.

Points of Equipotential: Equipotential points are those in an electric field that are all of the same electric potential. A line or curve connecting these places is referred to as a equipotential line. An equipotential surface is one where such points are present.

Equipotential bonding is simply a electrical connection that maintains a range of exposed and auxiliary conducting components' potentials near one another. The earthed imaginary horizontal zone is formed by attaching exposed conductive components and unrelated conducting components to one another.

Charge density of infinite sheet is given as:

σ = 5.6μC/m²

Now the electric field due to this charged sheet will be constant and it is given as:

E = σ/2ε₀

E = 5.6×10⁻⁶/2×8.85×10⁻¹²

E = 3.16 ×10⁵N/C

Now the relation between electric field intensity and potential difference is given as:

ΔV= E.d

ΔV=100Volts

E = 3.16 ×10⁵N/C

Now we have:

d=ΔVE

d=100/3.16 ×10⁵

d=3.16×10⁻⁴m

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Answer:

4:A battery with 15 loops or wire around the nail

Explanation:

More loops equals more force

A battery with \(15\) loops or wire around the nail have the stronger force.

So, option 4 is correct.

An electromagnet is a system that contains of a magnetic encircled by a coil that conducts an electric current to ionize the core.

Wherever controllable magnetism are required, such as in devices where the magnetic flux must be adjusted, reversed, or turned on and off, an electromagnet is utilized.

A battery with \(15\) loops or wire around the nail have the stronger force.

So, option 4 is correct.

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A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.

According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.

A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.

We are required to determine the momentum of the rocket.

Consider the fuel-filled rocket as a system.

We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas

We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.

Therefore: Momentum of rocket = - momentum of expelled gas

The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.

Hence, the momentum of the rocket is -1500 kg m/s.

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Recall that

\({v_f}^2={v_i}^2=2a\Delta x\)

The car starts from rest, so \(v_i=0\), and we get

\({v_f}^2=2\left(2.8\dfrac{\rm m}{\mathrm s^2}\right)(69\,\mathrm m)\implies v_f\approx19.66\dfrac{\rm m}{\rm s}\)

The velocity of the car when t = 2 seconds is 10 m/s (approx).The given initial velocity is υ1 = 2 m/s, and the force in the cable is F = (3200t²) N, where t is in seconds.

We can find out the velocity of the car when t = 2 seconds.The mass of the car is given as 400 kg.Let's calculate the work done by the force F. The work done will be equal to the change in kinetic energy of the car.Work done = change in kinetic energy1/2 mv² - 1/2 mu² = F.d, where d is the distance covered by the car.The force is variable and given by F = (3200t²) N.We can get the distance covered by the car by using the equations of motion.s = ut + (1/2)at²where s is the displacement of the car, u is the initial velocity of the car, a is the acceleration of the car, and t is the time taken.

Let's find out the acceleration of the car using Newton's second law of motion.

F = ma => a

= F/m => a

= (3200t²)/m

We can get the distance covered by the car from 0 to 2 seconds using the above equation.s = ut + (1/2)at² => s

= (2t) + (1/2)((3200t²)/m)

The distance covered by the car from 0 to 2 seconds will be the difference between the distance covered by the car at 2 seconds and the distance covered by the car at 0 seconds.s = (2*2) + (1/2)((3200*2²)/400) - (2*0) - (1/2)((3200*0²)/400)s

= 4 + 8s

= 12 m

Work done = F.d

= (3200t²) * 12 Joules (J)

= 38400t² J

As we know, work done = change in kinetic energy, we can equate both and find the velocity of the car when t = 2 seconds.1/2 mv² - 1/2 mu²

= 38400t²v² - u²

= (2*38400*t²)/m v²

= u² + (2*38400*t²)/m v

= √(u² + (2*38400*t²)/m) v

= √(2² + (2*38400*2²)/400) v

= 10 m/s (approx)

Hence, the velocity of the car when t = 2 seconds is 10 m/s (approx).

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The amount of helium atoms lined up side to side that  would span the diameter of a human hair is: 1.5625*10^6  atoms

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

By converting the units of the helium atom's diameter from nm to mm, we have:

d(helium atom)= 0.064 nm * 1 m/1*10^6 mm

d(helium atom)=  6.4*10^-8 mm

To know how many helium atoms lined up side to side would span the diameter of a human hair, we have to do a division as a following:

amount of helium atoms lined up side to side= d(human hair)/d(helium atom)

amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm

amount of helium atoms lined up side to side= 0.1 mm/6.4*10^-8 mm

amount of helium atoms lined up side to side= 1.5625*10^6

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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As the ball falls, its kinetic energy will increase, its gravitational potential energy will decrease, and its mechanical energy will remain constant.

This is because gravity is constantly accelerating the ball downwards, increasing its speed and kinetic energy, while simultaneously decreasing its potential energy due to the loss of height.

The ball’s mechanical energy, on the other hand, will remain constant since gravity is the only force acting on it. This is because the ball’s mechanical energy is equal to the sum of its kinetic and potential energies, and since the one is increasing while the other is decreasing, they cancel each other out, leaving the mechanical energy unchanged.

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Answer:

Sheikh Hasina is the prime minister of Bangladesh.

Answer:

her name is Sheikh Hasina

The opal's index of refraction is 1.45 based on speed of light.

To find the opal's index of refraction, we need to use the formula:

Index of refraction = speed of light in a vacuum / speed of light in the material

We know that the speed of light in air (which is close to a vacuum) is \(2.07*10^8 m/s\). To find the speed of light in the opal, we need to know the opal's index of refraction.

Let's call the opal's index of refraction "n". Then we can write:

n = speed of light in a vacuum / speed of light in the opal

We can rearrange this equation to solve for n:

n = speed of light in a vacuum / (speed of light in air / opal's refractive index)

\(n = 2.9979*10^8 m/s / (2.07*10^8 m/s / n)\\n = 2.9979*10^8 m/s * n / 2.07*10^8 m/s\)

n = 1.45

Therefore, the opal's index of refraction is 1.45.

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Answer:

Chemical changes cause a substance to change into an entirely substance with a new chemical formula.

Explanation:

Chemical changes are also known as chemical reactions. The “ingredients” of a reaction are called reactants, and the end results are called products.

The D. critical path is a series of events and activities with no slack time.

It is a path that defines the longest duration required to complete a project. It is significant in the project management methodology as it helps the project manager establish a timeline for the project while also identifying the activities that are most critical to the project's completion. If an activity on the critical path takes longer than anticipated, the whole project will be delayed, and if an activity is completed earlier than expected, then it might not be worth it to continue the project, and the client might not be willing to pay for it.

The critical path analysis allows managers to identify and control the critical factors that can impact a project's success, enabling them to focus on the most important areas and make informed decisions about the project. So the correct answer is D. critical path, is a series of events and activities with no slack time.

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Answer:

The amount of thermal energy needed is 626.6 J

Explanation:

When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation

where m is the mass of the substance is the specific heat capacity of the substance is the change in temperature

Answer:

642.6 kJ

Explanation:

Using the formula for heat energy required:

\(Q = mc \Delta T\) ,

where:

C   → specific heat capacity  =  1.68 kJ/kg°C

Q   → heat energy required  =  ?

m   → mass of the object  =  4.5 kg

ΔT → change in temperature  =  97°C - 12°C  =  85°C,

Q = 4.5  x  1.68  x  85

   = 642.6 kJ

The total rate of entropy generation is 0.268 J/K.

Entropy, the degree of a gadget's thermal electricity consistent with unit temperature that is unavailable for doing useful paintings. due to the fact work is acquired from ordered molecular motion, the quantity of entropy is likewise a measure of the molecular sickness, or randomness, of a machine.

Resistance of resistor R = 25 ohm

the total rate of entropy generation ?

Current flowing through resistor I = 10 A

Heat generation due to resistance , Q = I2R = 100*25 = 2500 J

Resistor temperature T = 310 K

Surrounding temperature Ts = 300 K

Entropy change for Resistor, heat lost due to the resistance to the surrounding then Q = -ve

(ΔS)syst = - Q/T = - 2500 J/310K = - 8.064 J/K

Entropy change for the system: here heat gain from the resistor, Q = +ve

(ΔS)surr = +Q/Ts = 2500J/300K = 8.333 J/K

Total Entropy generation :

(ΔS)tot = (ΔS)syst + (ΔS) Surr = -8.064 + 8.333 = 0.268 J/K

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The Yaesu FTM-300DR's optional wires-X connection cable kit is the SCU-39. The cables and adapters needed to use the wires-X digital communication mode and link the transceiver to a PC are included in this kit.

WIRES-X. An Internet communication system called WIRES (Wide-coverage Internet Repeater Enhancement System) increases the range of amateur radio communication. In WIRES-X, the wireless communication is connected to the Internet through the use of an amateur node station acting as an access point.

Requires a transceiver with the Yaesu C4FM Portable Digital Node capability (FT5D, FT3D, FT2D, FTM-400XD, FTM-300D, FTM-200D, FTM-100D: as of 8/2021 or Firmware update, FTM-400D: Requires Firmware update), a USB connection cable, and a computer with the WIRES-X software and WIRES-X.

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Answer:

Acceleration. When an external force acts on an object, the change in the object's motion will be directly related to its mass. This change in motion, known as acceleration, depends upon the object's mass and the strength of the external force.

The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

This is the single force obtained from the combinatiion of two or more forces

To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

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Answer:

2.4J

Explanation:

Given parameters:

Spring constant  = 120N/m

Extension  = 0.2m

Unknown:

Amount of energy  = ?

Solution:

The energy stored in this stretched spring is called the elastic potential energy.

It can be derived using the expression below:

 Elastic Potential energy  = \(\frac{1}{2}\) ke²  

k is the elastic constant

e is the extension

  Insert the parameters;

        Elastic potential energy  =  \(\frac{1}{2}\)  x 120 x 0.2²  = 2.4J

Answer:

If it is a true mixture, the mixing enthalpy is negligible, and there is no reaction or phase change, then you can do this using exclusively the temperatures of the individual compounds and their heat capacities. Any other process that takes place needs to be taken into account separately.

The solution can be found by understanding that we’re only using state variables. You can design any complicated process that starts with the starting situation and ends up at the ending situation, and the state variables will be the same. And sometimes a complicated process is easier to calculate than the simple one-step process, like here when mixing multiple components.

One way that will work is to start by bringing all compounds to the lowest temperature of either of the compounds. All but one of the compounds must be cooled down for this; make sure to calculate for each of the components how much energy is released. Now, mix all the components together. In the simplest situation sketched above you can calculate the heat capacity of the mixture by adding all the heat capacities of the components. Use this total heat capacity to calculate how much you can heat up the mixture using the energy you saved in cooling down the components earlier. This will be your desired end situation.

In case there are any phase changes or other processes in between, you need to take the energy needed for those into account too but in very similar ways.