If x=450 mm, determine the mass of the counterweight s required to balance a 90-kg load

Based on the information, a guide on how to fill out your fitness log is given.

Date: Write the current date.

Warm-up: Indicate what type of warm-up exercise you did before the actual activity. For example, you may have stretched or walked briskly for five minutes before starting the actual exercise.

Cool-down: Indicate what type of cool-down exercise you did after the actual activity. For example, you may have stretched or walked slowly for five minutes after completing the actual exercise.

Type of Activity: Choose whether the exercise you did is cardiovascular, muscular, or flexibility training.

Description of Activity and Time: Provide a brief description of the exercise you did and how long you did it. For instance, if you did a low-impact floor drill for 30 minutes, write "Low-impact floor drill for 30 minutes."

Intensity Level: Choose whether the exercise was moderate or vigorous.

Total Time: Write the total time you spent doing the exercise, including warm-up and cool-down. For example, if you spent five minutes warming up, 30 minutes doing the actual exercise, and five minutes cooling down, write "40 minutes" as the total time.

Remember to update your fitness log regularly to monitor your progress and achieve your fitness goals.

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Therefore, the component of vector C is -4.125m in the x direction and 6.125m in the y direction.

Physical objects called vectors need both magnitude and direction. Scalars include things like height, mass, area, and volume. Vectors can take the forms of motion, velocity, and acceleration.

In order to find vector C, we can commence by rearranging the equation 2A - B - 4C = 0:

2A - B - 4C = 0

2A - B = 4C

C = (2A - B)/4

We can now determine the elements of vectors A and B:

Vector A: Ax = -3m, Ay = 10m

Vector B: Bx = 8.5m, By = -3.5m

When we enter these numbers into the vector C equation, we obtain:

Cx = (2Ax - Bx)/4 = (2(-3m) - 8.5m)/4 = -4.125m

Cy = (2Ay - By)/4 = (2(10m) - (-3.5m))/4 = 6.125m

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Atomic mass is the mass of an atom of a chemical substance shown in atomic mass units (amu). It is the sum of the masses of protons, neutrons, and electrons in an atom.

Protons are subatomic particles with a positive charge. The total number of protons in an atom ascertains its atomic number. The nucleus of an atom contains both protons and neutrons and the latter does not have any charge. Mass number is the sum total of the number of protons and number of neutrons in an atom. Mass number is expressed as a whole number and is specific to each isotope.

Atomic mass is usually measured relative to the mass of a carbon-12 atom, which is assigned a mass of exactly 12 atomic mass units. This means that the atomic mass of other elements is given in relation to the mass of carbon-12.

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When an individual stops working out, muscles slowly lose strength (option C).

Working out means to strengthen or improve a part of one’s body by exercise.

Exercise is any activity intended to improve physical, or sometimes mental, strength and fitness.

Many at times, exercises carried out by individuals leads to build up of muscles. However, when they stop working out, this muscle loses strength.

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The direction of the north pole of a compass needle represents the direction of magnetic field lines. Magnetic field lines originate from the north pole of magnet and terminate at south pole. Hence, the correct compass will be A.

A plotting compass is also known as a magnetic compass. It aligns itself with the magnetic field of magnet, with north-seeking end of the compass pointing towards the south pole of the magnet and the south-seeking end pointing towards the north pole of the magnet.

So, to determine which plotting compass is pointing in the correct direction, you would need to observe the direction in which the north-seeking end of the compass is pointing and compare it to the direction in which the south pole of the bar magnet is located. If the north-seeking end of the compass is pointing towards the south pole of the magnet, then the compass is pointing in the correct direction.

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For this workout I did squats. Squats may aid in weight loss because they burn calories. Moreover, they reduce the possibility of knee and ankle injuries.

When performing squats, your legs should feel fatigued. Lower back ache is a sign that you're likely doing the workout wrong. This shows that your lower back muscles are working harder than your glutes and quadriceps since they are taking the load. Pay attention to how you squat.

It doesn't matter where it is—a living room, office, stairwell, park, or closet—as long as there are a few feet available. The only thing you need is your body weight.

In some instances, it is acceptable to squat without a spotter. The environment and resources you have at your disposal, though, are everything. The safest choice is to use a power rack or squat stand with adjustable safety pins, arms, or straps.

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During the 200-meter race, Michael Phelps moved at a speed of 1.75 metres per second.

More than any other swimmer in history, he won Olympic medals, world titles, US national titles, and set world records. Phelps has made it a priority to support the growth of swimming at all levels during his career. With a total of 28 medals, he is the most successful and decorated Olympian of all time.

Velocity = Distance / Time

In this case, the distance swum is 200 meters and the time taken is 1 minute and 54 seconds, or 114 seconds.

Velocity = 200 meters / 114 seconds

Velocity = 1.75 meters/second (rounded to two decimal places)

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An electron moving transverse to a uniform magnetic field, where there is nothing to interfere with its motion (such as air molecules), will continuously describe complete revolutions with no effort. That is, the electron does not gain energy (and the field does not lose energy).

When it comes to moving electric charges, electric currents, and magnetic materials, a magnetic field is a vector field that defines the magnetic influence. A force perpendicular to both the charge's own motion and the magnetic field acts on a moving charge in the field of magnetism.[1]: ch13 [3]: 278  Iron and other ferromagnetic elements are drawn to a permanent magnet's magnetic field, which also draws or repels other magnets. The three other magnetic effects of paramagnetism, diamagnetism, and antiferromagnetism also impose minute forces on materials that are considered to be "nonmagnetic"; however, these forces are typically so minute that they can only be detected by laboratory equipment. Magnetic fields encircle magnetised materials and are produced by electric currents, like those found in electromagnets, and by electric fields with changing time constants.

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Answer:

a. Spalling

elevator of mass 550 kg and a counter weight of 700 kg lifts 23 tired 80-kg students to the 7th floor of a dormitory 30 meters off the ground in 12 seconds. then the power required to lift the 23 students to the 7th floor is 41,948.85 W or 56.22 hp.

To solve this problem, we need to use the formula for power, which is:

Power = Work/Time

We can find the work done by the elevator by using the formula:

Work = Force x Distance

The force required to lift the elevator and the counterweight is:

Force = (mass of elevator + mass of counterweight + mass of students) x g

where g is the acceleration due to gravity, which is approximately 9.81 m/s².

So the force required is:

Force = (550 + 700 + 23 x 80) x 9.81

= 16,779.54 N

The distance traveled by the elevator is 30 meters, so the work done by the elevator is:

Work = Force x Distance

= 16,779.54 x 30

= 503,386.2 J

Now, we can calculate the power required:

Power = Work/Time

= 503,386.2/12

= 41,948.85 W

To convert watts to horsepower, we can use the conversion factor 1 hp = 746 W. Therefore, the power required is:

Power = 41,948.85/746

= 56.22 hp

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Thunder was heard 2second after the lightening .if the velocity of sound is 350m/s, the lightening is about 700 meters far.

In international agreement in 1983, the meter was redefined as the distance that light would travel in a vacuum within 1/299,792,458 of both a second, building on these and other advancements. In a vacuum, this definition also fixed the light's speed at 299,792,458 meters a second.

In terms of measurement, what does the word "meter" mean?

A typical metric unit called a meter is equivalent to around 3 feet, 3 inches. This indicates that metric measurement system includes the meter. Objects about one meter long include guitars, baseball bats, & yard poles. In athletic competitions like running and swimming, distances are also measured in meters.

The distance between the viewer and the lightning is about 700 meters.

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Sam put in -845 J of work to halt it. Sam had to exert effort in the direction counter to the way the boat was moving, as indicated by the negative sign, which denotes that he did negative work.

One can compute the initial kinetic energy as follows:

KEi is equal to (1/2)mv2, where m is the combined mass of the boat and its riders (1000 kg), and v is the boat's initial speed (1.3 m/s).

KEi = (1/2)(1000 kg)(1.3 m/s), which equals 845 J.

The boat is brought to a stop, and as a result, its terminal velocity and kinetic energy are both zero:

KEf = 0 J

Sam put forth the following effort to stop the boat: W = 0 J - 845 J

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The TV's efficiency rating is 5.56%.

An isolated system has a constant total energy. Energy cannot be generated or destroyed; it can only be transformed from one form to another or transferred between systems. When all energy sources are considered, the overall energy of an isolated system is constant.

Efficiency is equal to (useful energy output/total energy intake) multiplied by 100%.

Useful energy output = light energy output + sound energy output

= 10 kJ + 30 kJ

= 40 kJ

Total energy input = electrical energy input

= 720 kJ

Substituting these values into the efficiency formula, we get:

Efficiency = (40 kJ / 720 kJ) x 100%

= 0.0556 x 100%

= 5.56%

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The  two differences between mains electricity and that supplied by a 1.5V cell:

Power Output means the average rate of electric energy delivery during one Metering Interval.

Power output: Compared to a 1.5V cell, mains electricity has a much greater power output. This is so that more power can be delivered to devices and appliances by mains electricity, which is provided at a higher voltage and current.

Compared to a 1.5V cell, the voltage provided by mains electricity is usually much higher. A 1.5V cell produces DC (direct current) voltage, whereas the mains electricity in the majority of nations is typically supplied at a voltage of 110–120V or 22–240V AC (alternating current). The kinds of devices and appliances that can be powered by mains electricity versus those that can be powered by a 1.5V cell are affected by this difference in voltage levels.

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Based on the given fundamental frequency of 7 Hz, it is likely that the harmonic is a multiple of the fundamental frequency.

Harmonics are integer multiples of the fundamental frequency and can be calculated using the formula: f(n) = n * f(1), where f(n) is the frequency of the nth harmonic, and f(1) is the frequency of the fundamental harmonic.

Therefore, the frequency at which this harmonic is created will depend on the harmonic number. For example, the second harmonic would have a frequency of 14 Hz (2 * 7 Hz), the third harmonic would have a frequency of 21 Hz (3 * 7 Hz), and so on. Without knowing the harmonic number, it is not possible to determine the frequency at which this harmonic is created.

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Answer:

What are the best flowers? (My opinion)

Explanation:

You're welcome.

Answer:

Tulips,

Lilies,

Lotuses on my opinion...

Answer:

Explanation:

since weight and force both are forces we can simply use the equation

                            F=ma

here ,

  m=mass=9.00kg

  a=acceleration=6.00m/s^2

             So,

                  F=W=54N

Spectroscopy has much in common with the cosmological concept of redshift and blueshift.

Spectroscopy is the study of the interaction between matter and electromagnetic radiation, and it is commonly used to study the properties of stars and galaxies.

Redshift and blueshift, on the other hand, are phenomena that occur when light is emitted from an object that is moving away or towards an observer, respectively. These concepts are commonly used in cosmology to study the expansion of the universe and the motion of galaxies.

Spectroscopy can be used to measure the redshift or blueshift of light emitted from distant objects, providing valuable information about their distance, velocity, and composition.

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The solar panels produce 1.632 kW of power.

The first step is to calculate the total energy received by the solar panels per second. To do this, we need to multiply the total area of the solar panels by the energy received per unit area and the efficiency of the panels. The efficiency takes into account any losses due to conversion of the energy into electrical power.

We are given that each 1.0 m2 of the panels receives 0.85 kJ of energy from the Sun in 1.0 s. Therefore, we can calculate the energy received by the 12 m2 of panels as:

energy received = area x energy per unit area

energy received = 12 m2 x 0.85 kJ/m2

energy received = 10.2 kJ

If the efficiency of the panels is 16%, then the power they produce is:

Power = (Efficiency × Energy) / Time

Power = (0.16 × 10.2 kJ) / 1.0 s

Power = 1.632 kW

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For solving this problem,we have to apply Newton’s law of gravitation which defines the magnitude of the force between two objects.

Gravitational Force -

[tex]\:\:\:\:\:\:\:\sf \underline{\boxed{\sf{F=G\times \dfrac{ \: m_1 \: m_2}{r^2}}}}[/tex]

Where:-

As per question, we are given -

Now that required values are given, so we can substitute the values into the formula and solve for Force of gravity:-

[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }= 6.7\times 10^{-11} \times \dfrac{3.5\times 6.4\times 10^{23}}{(5.6\times 10^{10})^2}\\[/tex]

[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }=6.7\times 10^{-11} \times \dfrac{1400.46}{23172.08}\\[/tex]

[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(gravity) }=6.7\times 10^{-11} \times 0.06\\[/tex]

[tex] \:\:\:\:\:\:\:\longrightarrow \sf \underline{Force_{(gravity) } = 4.02\times 10^{-12}\:N}\\[/tex]

Explanation:

speed = wavelength * frequency

         =   3 m  *  12 /s  = 36 m/s

B) The relationship between revolutions per second AND average time should be an inverse relationship: (as one increases the other decreases) is incorrect.

This is incorrect because, as the length of the string increases, the average time for 10 revolutions should increase as well. This is because the bobber has to travel farther as the string gets longer, and so it takes longer to finish 10 revolutions. Therefore, the relationship between revolutions per second and average time is not inverse; instead, it is a direct relationship. As the length of the string increases, the average revolutions per second should increase, and the average time should decrease. This means that the relationship between the two is actually a direct relationship  as one increases, the other increases as well.

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The satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.

An object's speed can be defined as how quickly it is going. It measures how quickly an object travels over time. Typically, speed is measured in terms of time/distance.

The speed of the satellite must first be converted from miles per second to meters per second:

V= 6000 miles per second = 9656 m/s

The orbital radius of the satellite can then be calculated using the centripetal force equation as follows:

Fc = Fg

Gm M / r² = mv² / r

r = G M / v²

where M is the earth's mass.

By entering the specified values, we obtain:

r = (5.97 x 10²⁴ kg) x (6.67 x 10⁻¹¹N m²/kg²)/ (9656 m/s) 

r= 4.22 x 10⁷ meters

Hence, the satellite's height above the surface of the planet is:

height = r - R.

height= (4.22 x 10⁷ m) - (6.378 x 10⁶ m)

height is 3.58 x 10⁷ meters.

Now we can apply the equation for a circular orbit's period:

T = 2π r / v

When we enter the values we just discovered, we obtain:

T = 2π (4.22 x 10⁷ m) / (9656 m/s)

T = 5.56 x 10³ seconds

Hence, the satellite's orbit has a period of about 1.54 hours.

So, the satellite's height above the surface of the planet is roughly 35,800 kilometers, and its orbital period is roughly 1.54 hours.

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Answer:

Use the formula to determine the contact area of each tire with the road.

Area divided by force yields pressure, as the equation suggests.

The weight of the car, which is 1500 kg, exerts a force on an area where pressure is at 2.2 x 10^5 Pa.

Supported by all four tires, we must first determine the total force.

Weight of car is 1500 kg multiplied by 9.8m/s^2 equals =14700 N, also known as total force.

Equally sharing the load, four tires are responsible for supporting the vehicle.

Each tire carries a force that equals the total force divided by 4, which is equivalent to 3675 N as calculated from a total force of 14700 N.

Each tire's contact area with the road can now be calculated.

3675 N divided by 2.2 x 10^5 Pa equals the area. This area can also be described as force divided by pressure.

Approximately 16.7 cm^2 or 1.67 x 10^-2 m^2 is the designated area.

The contact area between the road and each tire measures exactly 16.7 cm^2.

Answer:

To calculate the total force on Earth due to Venus, Jupiter, and Saturn, we need to use the formula for gravitational force: F = G * (m1 * m2) / r^2 where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. First, we need to convert the distances to meters: dV = 108 million km * 1000 m/km = 1.08 x 10^11 m dJ = 150 million km * 1000 m/km = 1.5 x 10^11 m dSat = 778 million km * 1000 m/km = 7.78 x 10^11 m Next, we can calculate the forces due to each planet: FV =

At its highest temperature, a space heater has a resistance of 17.5 Ω when it is plugged into a wall outlet that supplies a peak voltage of 176.8 V sinusoidally at 60 Hz . the average power output of the space heater is 888 watts.

The average power output of the space heater can be calculated using the root mean square (RMS) values of the voltage and current. The RMS voltage and current are related to the peak voltage and the resistance of the space heater as follows:

V_RMS = V_peak / sqrt(2)

I_RMS = V_RMS / R

where V_RMS is the RMS voltage, I_RMS is the RMS current, V_peak is the peak voltage, and R is the resistance of the space heater.

Substituting the given values, we get:

V_RMS = 176.8 V / sqrt(2) = 124.8 V

I_RMS = 124.8 V / 17.5 Ω = 7.12 A

The average power output of the space heater is given by:

P_avg = V_RMS * I_RMS * cos(θ)

where cos(θ) is the power factor, which we will assume to be 1 for a resistive load like the space heater.

Substituting the values for V_RMS and I_RMS, we get:

P_avg = 124.8 V * 7.12 A * 1 = 888 W.

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The two properties of particles which make up a substance that affect its internal energy are:

A. Motion and position

The internal energy of a substance depends on the kinetic energy (motion) and potential energy (position) of its constituent particles. The kinetic energy of the particles determines the temperature of the substance, while the potential energy depends on the intermolecular forces between the particles.

Therefore, option A is the correct answer.

Crash Course Psychology #14 focuses on the concepts of remembering and forgetting. The episode discusses various aspects of memory, such as encoding, storage, and retrieval. Encoding refers to the process of transforming information into a format that can be stored in the brain, while storage is the preservation of that information over time. Retrieval is the act of accessing and recalling stored information when needed.

Forgetting is a natural part of memory processes and can occur due to factors like decay, interference, and retrieval failure. Decay is the gradual fading of memories over time, while interference involves new information disrupting the recall of older memories. Retrieval failure happens when we are unable to access certain memories, even if they still exist in our brains.

In summary, Crash Course Psychology #14 explores the complex processes of remembering and forgetting, highlighting key concepts such as encoding, storage, retrieval, decay, interference, and retrieval failure.

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The period of the ocean waves hitting the beach at a rate of 35 Hz is 0.0286 seconds.

Frequency and period are inversely related in wave motion. The frequency of a wave is the number of complete cycles (or wave crests) that pass a point in a given time period, while the period is the time it takes for one complete cycle to occur. The period can be calculated by dividing the inverse of the frequency.

Ocean waves form due to the transfer of energy from wind to water. Factors that affect the characteristics of ocean waves include wind speed and duration, the distance over which the wind blows (known as fetch), and the depth and shape of the seafloor.

The size and shape of ocean waves can also be affected by tides, currents, and the presence of nearby land masses.

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