A toddler weighs 10 kg and raises herself onto tiptoe (on both feet). Her feet are 8 cm long with each ankle joint being located 4.5 cm from the point at which her feet contact the floor. While standing on tip toe:

(a) what is the upward normal force exerted by the floor at the point at which one of the toddler's feet contacts the floor?

(b) what is the tension force in one of her Achilles tendons? (c) what is the downward force exerted on one of the toddler's

ankle joints?​

Hello and Good Morning/Afternoon:

What makes a unit a fundamental SI unit:

Thus the seven fundamental S.I. units are:

Hope that helps!

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The calculated value of speed of sound be 400 m/s.

An echo is a sound produced when sound waves are reflected off of a surface and returned to the listener. It is the sound that has been reflected, and it reaches the listener after the original sound has passed.

Given parameters:

The student's  distance to the wall is = 300 m.

The time delay between clap an echo is 1.5 seconds.

In this time, sound waves goes to the wall and hits back to the student's ear.

So, total distance covered by the sound wave: d= 2 × 300 m = 600 m.

Hence,  the speed of sound be - 600 m/1.5s = 400 m/s.

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1.) To protect buildings, structures and people from lightning strikes ; 2.)  Using materials that are good conductors of electricity ;3.)Provides low-resistance path for any static electricity ; 4.)Dryer sheets, damp towel or washcloth to dryer, metal dryer ball or other anti-static device; 5.)Anti-static mats, humidifiers, anti-static wrist straps and cleaning carpets.

1. Function of lightning rod is to protect buildings, structures, and people from lightning strikes. It works by providing a low-resistance path for lightning current to follow, directing it safely into ground.

2. Charge build-up on airplanes is reduced by using materials that are good conductors of electricity, such as aluminum, to help distribute any charge that builds up across the surface of the airplane.

3. Ground strap is a necessary safety feature when transferring fuel because it provides low-resistance path for any static electricity that may build up during transfer process.

4. Three methods for reducing charge build-up in clothes dryers are as :

Using dryer sheets or fabric softeners, which can help to dissipate any static charge that may build up on clothes during drying process.

Adding damp towel or washcloth to dryer, which can help to increase humidity inside the dryer and reduce the likelihood of static build-up.

Using metal dryer ball or other anti-static device, which can help to neutralize any charge that may build up on clothes.

5. The four methods for reducing charge build-up in computer room with carpet are as follows:

Using anti-static mats or flooring, which can help to dissipate any static charge that may build up on carpet.

Installing humidifiers, which can help to increase the humidity in room and reduce the likelihood of static build-up.

Using anti-static wrist straps or other grounding devices when handling sensitive electronic equipment, to help discharge any static electricity that may have built up on body.

Regularly cleaning carpet with a vacuum cleaner that is equipped with anti-static brush or hose, which can help to remove any static charge that may have built up on carpet fibers.

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Answer:

a. The velocity must remain constant to keep the ratio of frequency and wavelength in check. The wave speed is determined by the properties of the medium through which the wave travels, and is independent of the frequency and wavelength of the wave.

c. 0.35 m. The wavelength can be calculated using the formula: wavelength = wave speed / frequency. Plugging in the given values, we get wavelength = 4.5 m/s / 25 Hz = 0.18 m/Hz = 0.35 m (rounded to two decimal places).

For two runners  running in a 500 meter dash and runner, the speeds of both runners  is mathematically given as

v1=25m/s

v2=20m/s

and the first runner is faster

Generally, the equation for the speed  is mathematically given as

v=d/t

Therefore, for first runner

v=500/20

v1=25m/s

For 2nd runner

v=500/25

v2=20m/s

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Answer:

B Gravitational potential energy

Explanation:

The magnitude of the gravitational force 0f two solid sphere of radius R is 81F₁ newton.

Gravitational force :

Any two bodies' mutual attraction is directly proportional to the sum of their masses and inversely proportional to the square of their separation.

Force is given as :

F₁ =  (G x m x m )/ (2r)²

To calculate gravitational force :

F₂ = G  x  [27m x 27m]/ [6r]²

F₂ = (G x27)² m² / 36r²

F₂ = (81 G  x m²) / 4r²

F₂ = 81F₁

The magnitude of the gravitational force of two solid sphere of radius R is 81F₁ newton.

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A sentence which best characterizes the design of the weigh-in study described in the video is: e) None of the above.

A scientific observation can be defined as an active acquisition of knowledge (information) through one of the sense organs, while using scientific tools and instruments to take measurement of a variable of interest while carrying out an experiment, research or study.

In Science, there are two main types of scientific observation and these include the following:

An experiment can be defined as a scientific investigation which typically involves the process of manipulating an independent variable (the cause), so as to determine or measure the dependent variable (the effect).

The sentences which best characterizes the design of the weigh-in study described in the video are:

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Complete Question:

Which of the following best characterizes the design of the weigh-in study described in the video?

a) Only the control group receives the IV, daily weigh-ins.

b) Both the control and experimental groups receive the IV, daily weigh-ins.

c) At the end of the experiment, the DV will only be collected for the experimental group.

d) Both a and c

e) None of the above

Forklift attachments are not integral parts of the forklift equipment but are used to hold a load or loads. Examples of forklift attachments include fork extensions, side shifters, clamps, rotators, and pallet handlers.

A forklift is a piece of heavy equipment that is primarily used to lift and move materials over short distances. It typically consists of a power-operated platform, called a pallet, that can be raised and lowered using hydraulic cylinders. The pallet is attached to a set of forks that can slide under a load, allowing it to be lifted and moved.

Forklifts are commonly used in warehouses, manufacturing facilities, and construction sites, where they can quickly and efficiently move heavy materials from one location to another. They are also used to load and unload trucks and shipping containers. Forklifts come in a variety of sizes and configurations, ranging from small, electric-powered models for indoor use, to large, diesel-powered models for outdoor applications.

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The force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is 12.4 N.

Start by calculating the change in velocity (Δv) experienced by the object. This can be done by subtracting the initial velocity v₁ from the final velocity v.

Δv = v - v₁ = ((8î + 3) - 5k) - ((4î - 5) + 3k)

= 8î + 3 - 5k - 4î + 5 - 3k

= 4î - 8k + 8

Next, calculate the acceleration (a) using the formula:

a = Δv / t

where t is the time interval, given as 10 seconds.

a = (4î - 8k + 8) / 10

= (0.4î - 0.8k + 0.8) m/s²

The force (F) required to accelerate the object can be found using Newton's second law:

F = m * a

where m is the mass, given as 40 kg.

F = (40 kg) * (0.4î - 0.8k + 0.8) m/s²

= (16î - 32k + 32) N

Simplify the expression to obtain the final answer:

F = 16î - 32k + 32 N

≈ 12.4 N

Therefore, the force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is approximately 12.4 N.

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The velocity of the combined lump after the collision is 39.5 cm/s, which is the average velocity of the two lumps before the collision.

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system before a collision is equal to the total momentum of the system after the collision, provided there are no external horizontal forces acting on the system.

The momentum of an object is equal to its mass multiplied by its velocity. Therefore, we can calculate the total momentum of the system before the collision as:

Total momentum before collision = (0.50 g) × (-20.0 cm/s) + (70.0 g) × 40.0 cm/s

= -10.0 g·cm/s + 2800.0 g·cm/s

= 2790.0 g·cm/s

Since the two lumps stick together after the collision, their masses combine to form a single lump. Let's call the velocity of the combined lump after the collision "v". We can then calculate the total momentum of the system after the collision as:

Total momentum after collision = (0.50 g + 70.0 g) × v

= 70.50 g × v

According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Therefore, we can equate these two expressions and solve for "v":

Total momentum before collision = Total momentum after collision

2790.0 g·cm/s = 70.50 g × v

v = 2790.0 g·cm/s ÷ 70.50 g

v = 39.5 cm/s

This result can be explained by the fact that, in the absence of external horizontal forces, the momentum of the system is conserved, and the total mass of the system remains constant.

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The energy transferred in Joules by the radio when it has been switched on for 2 minutes would be 6000 Joules.

Power is defined as the rate of energy transfer or the rate at which work is done, and is given by the equation:

Power = Energy transferred / Time

Rearranging the equation to solve for energy transferred, we get:

Energy transferred = Power x Time

We are given:

Power = 50 W

Time = 2 minutes = 120 seconds

Therefore, the energy transferred by the radio when it has been switched on for 2 minutes is:

Energy transferred = Power x Time = 50 W x 120 s = 6000 J

In other words, the energy transferred by the radio is 6000 Joules.

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The acceleration can be calculated using the formula:

Acceleration = (Final velocity - Initial velocity) / Time taken

Given that the bus starts from rest, the initial velocity is 0 m/s.

Acceleration = (20 m/s - 0 m/s) / 21 sec = 20/21 m/s².

The distance travelled at maximum speed can be calculated by subtracting the distances covered during acceleration and deceleration from the total distance.

Distance during acceleration = (1/2) * acceleration * time² = (1/2) * (20/21 m/s²) * (21 sec)² = 210 m.

Distance during deceleration is the same as distance during acceleration.

Distance travelled at maximum speed = Total distance - 2 * distance during acceleration = 270 m - 2 * 210 m = -150 m.

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Answer:

(a) The minimum force required to get the block moving can be calculated using the formula F = μ * m * g, where μ is the coefficient of static friction, m is the mass of the block, and g is the acceleration due to gravity. Plugging in the values given in the problem, we get F = 0.1 * 59.0 kg * 9.8 m/s² = 57.9 N. So the minimum force required to get the block moving is 57.9 N.

(b) Once the block starts to move, its acceleration can be calculated using the formula a = (F - f_k) / m, where F is the applied force, f_k is the force of kinetic friction, and m is the mass of the block. The force of kinetic friction can be calculated using the formula f_k = μ_k * m * g, where μ_k is the coefficient of kinetic friction. Plugging in the values given in the problem, we get f_k = 0.03 * 59.0 kg * 9.8 m/s² = 17.4 N. So if the applied force of 57.9 N is maintained, then the acceleration of the block would be a = (57.9 N - 17.4 N) / 59.0 kg = 0.69 m/s².

(a) The minimum force required to get the block moving can be calculated using the formula F = μ * m * g, where μ is the coefficient of static friction, m is the mass of the block, and g is the acceleration due to gravity. Plugging in the values given in the problem, we get F = 0.1 * 59.0 kg * 9.8 m/s² = 57.9 N. So the minimum force required to get the block moving is 57.9 N.

(b) Once the block starts to move, its acceleration can be calculated using the formula a = (F - f_k) / m, where F is the applied force, f_k is the force of kinetic friction, and m is the mass of the block. The force of kinetic friction can be calculated using the formula f_k = μ_k * m * g, where μ_k is the coefficient of kinetic friction. Plugging in the values given in the problem, we get f_k = 0.03 * 59.0 kg * 9.8 m/s² = 17.4 N. So if the applied force of 57.9 N is maintained, then the acceleration of the block would be a = (57.9 N - 17.4 N) / 59.0 kg = 0.69 m/s².

Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.

In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.

The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.

A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.

Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.

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Answer:

20.00

Explanation:

Answer:The answer will be B :) hope this helps!

Explanation:

The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .

According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.

The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.

According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.

Therefore, option C is correct.

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Answer:

There are 5 general layers; organism, population, community, ecosystem, and biosphere.

Explanation:

Hope this helps!

Answer:

920000

Explanation:

Each kg contains 1,000 grams

Jack speed as he hits the water is 14.13m/s

What is speed?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as the duration of the time interval approaches zero. The average speed of an item in a period of time is equal to the distance travelled by the object divided by the duration of the period. Velocity and speed are not the same thing.

The only force on Jack is gravity, which points straight down, and has an acceleration of 9.91m/s².  Whether he's falling off a bridge or simply standing still on the surface of the earth, the acceleration due to gravity is the same.

If you're looking for the speed of Jack as he hits the water, you just need to solve for v in the equation\($v^2 = v_0^2 + 2ad$\).  
Here,
v is Jack's speed as he hits the water,
\($v_0$\) is Jack's initial speed (which is zero since he's not moving when he jumps),
a is Jack's acceleration (which is 9.91m/s²), and
d is Jack's displacement (which is the height of the bridge, which you said is 10m).  
This gives you an answer of \($v = \sqrt{2ad} = \sqrt{2(9.91)(10)} = 14.13 \ \mathrm{m/s}$\)

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Because one mole of H X 2 is typically lighter than N e, it stands to reason that it would have a higher entropy than N e. Ne, on the other hand, is thought to have a higher entropy due to its lower molar mass.

A chemical equation can be examined for changes in physical states and the number of moles of product and reactant particles to predict relative changes in entropy using the same factors on a macroscopic level.

The species with the greater molar mass between two monoatomic ones will have a greater standard entropy. The more mobile of two allotropic forms of an element will have a higher standard entropy value. The entropies of these substances are not zero, despite the fact that their conventional internal energies and enthalpies would be. The "energies of formation" of elements in their normal states are typically set to zero because there is no absolute scale of energy.

Entropy, on the other hand, gauges the distribution of energy among the numerous quantum states that can accept it; they exist even in pure substances.

Evidently, entropies often rise with molecule weight. This is, of course, a direct reflection of the fact that translational quantum states are more densely packed in heavier molecules, making them more occupiable, for the noble gases.

The additional impacts of rotational quantum levels are visible in the entropies of the diatomic and polyatomic molecules.

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A potential problem is that you are willing to accept a 5% chance of being wrong if you reject the null hypothesis.

The significance level is the probability of rejecting the null hypothesis if it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that there is a difference when there is actually no difference. Rejecting the true null hypothesis results in a Type I error.

The smaller the value of α the more difficult it is to reject the null hypothesis. Therefore, choosing a low value for α can reduce the likelihood of Type I errors. The result here is that if the null hypothesis is false, it may be more difficult to reject using a lower value for α. The alpha value or statistical significance threshold is arbitrary. Which value to use depends on your field of study.

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The frequency that the person on the train hears is calculated as 767 Hz.

Frequency is the number of waves that passes a fixed point in unit time.

The formula for the observed frequency (f') of a wave with a known frequency (f) due to the Doppler Effect is:

f' = f (v + vo) / (v + vs)

v : speed of the wave in the medium (in this case, the speed of sound)

vo : speed of the observer (in this case, the speed of the train)

vs is the speed of the source (in this case, assumed to be zero)

vo = 85.0 km/h * 1000 m/km / 3600 s/h = 23.6 m/s

f' = 725 Hz * (343 m/s + 23.6 m/s) / (343 m/s + 0 m/s) = 767 Hz

Therefore, the frequency that the person on the train hears is 767 Hz.

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Answer:

2.39 Ω

Explanation:

Given that

Number of winnings on the coil, = 250 turns

Radius if the copper wire, r(c) = 1.3/2 = 0.65 mm

Radius of single cylinder layer, R = 12 cm

Length of the cylinderical coil, L = 250 * 2π * 12 = 188.4 m

Resistivity of copper, ρ = 1.69*10^-8 Ωm

Area is πr(c)², which is

A = 3.142 * (0.65*10^-3)²

A = 3.142 * 4.225*10^-7

A = 1.33*10^-6 m²

The formula for resistance is given as

R = ρ.L/A, if we substitute, we have

R = (1.69*10^-8 * 188.4) / 1.33*10^-6

R = 3.18*10^-6 / 1.33*10^-6

R = 2.39 Ω.

Therefore, the resistance is 2.39 Ω

The displacement from  t=1s and t=5s on the graph is zero.

Displacement refers to the distance and direction of an object's change in position from its initial position to its final position. It is a vector quantity that indicates the shortest distance between the starting point and ending point of an object's motion, regardless of the path taken.

Displacement is often denoted by the symbol Δx, where Δ represents the change in position and x represents the position. The SI unit of displacement is meters (m) or any other unit of length.

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The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Explanation:

The term albinism typically refers to oculocutaneous (ok-u-low-ku-TAY-nee-us) albinism (OCA) — a group of inherited disorders where there is little or no production of the pigment melanin. The type and amount of melanin your body produces determines the color of your skin, hair and eyes.