In short-track speed skating, the track has straight sections and semicircles 16 min diameter. Assume that a 64kg skater goes around the turn at a constant 11m/s .
Part A What is the horizontal force on the skater?
part B
What is the ratio of this force to the skater's weight?

The mass of ice that was added is 1.11 kg. So the answer is 1.1 kg (option O 1.1 kg).

To solve this problem, we can use the principle of energy conservation. The heat gained by the ice will be equal to the heat lost by the water.

The heat gained by the ice can be calculated using the formula:

Q_ice = m_ice * c_ice * ΔT_ice

Where:

Q_ice = heat gained by the ice

m_ice = mass of ice added

c_ice = specific heat capacity of ice (2100 J/(kg-K))

ΔT_ice = change in temperature of the ice (from -15°C to 0°C)

The heat lost by the water can be calculated using the formula:

Q_water = m_water * L_water

Where:

Q_water = heat lost by the water

m_water = mass of water in the cooler

L_water = latent heat of fusion of water (334 x 10^3 J/kg)

Since there is no heat exchange with the surroundings, the heat gained by the ice is equal to the heat lost by the water:

Q_ice = Q_water

m_ice * c_ice * ΔT_ice = m_water * L_water

Substituting the known values:

m_ice * 2100 * (0 - (-15)) = 1.75 * 334 * 10^3

Simplifying the equation:

m_ice * 2100 * 15 = 1.75 * 334 * 10^3

m_ice = (1.75 * 334 * 10^3) / (2100 * 15)

m_ice ≈ 1.11 kg

Therefore, the mass of ice that was added is approximately 1.11 kg. So the answer is 1.1 kg (option O 1.1 kg).

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Answer:

True

Explanation:

Answer:

post secondary certificate.

Explanation:

Answer:

post secondary certificate sorry that you got it wrong

Explanation:

The graph in the question that represents an object with constant acceleration is : Graph A

Acceleration is the change in velocity with time. For graph A the acceleration remained constant as the velocity of the object did not change with the change in time. As the time changes from 4 to 9 seconds the velocity of the object remained at 40 before decelerating to 0.  This shows that the acceleration of the object was constant.

Hence we can conclude that The graph that shows an object with constant acceleration is : Graph A

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The test statistic (Z-score) is approximately 4.95.

To calculate the test statistic (Z-score) for this hypothesis test, we can use the formula:

Z = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))

Sample mean (X-bar) = 37

Hypothesized population mean (μ) = 30

Standard deviation (σ) = 8

Sample size (n) = 50

Substituting these values into the formula, we get:

Z = (37 - 30) / (8 / sqrt(50))

Z = 7 / (8 / 7.071)

Z = 7 / 1.414

Z = 4.95 (rounded to two decimal places)

A statistical hypothesis test is a technique for determining if the available data are sufficient to support a certain hypothesis. We can make probabilistic claims regarding population parameters using hypothesis testing.

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Measurement tools improve the quality and quantity of our lives by making them easier and safer. The ability to precisely quantify physical qualities has arguably enormous survival value, providing humans with an adaptive, evolutionary advantage refined over thousands of years of natural selection.

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Answer:

In the surface of the moon, gravitational acceleration is 1.63 m/s*2.

Explanation:

An object of mass M will accelerate gravitationally at a distance R if it is at the following distance:

g = G*M/R^2

Where the gravitational constant is G.

G = 6.67*10^(-11) m^3/(kg*s^2)

At the surface of a moon, the distance between its surface and its center will be equal to its radius, since a moon's mass is concentrated at its center, thus:

R = 1740 km

It's important to remember that we need meters in order to work:

1 km = 1000 m

so:

1740 km = (1740)*1000 m = 1740000 m

R =  1740000 m

Basically, the mass consists of:

M = 7.4x10^22 kg

Incorporating all that into the gravitational acceleration equation, we get:

g = (6.67*10^(-11) m^3 / (kg*s^2))*(7.4x10^22 kg) / ( 1740000 m)^2

g = 1.63 m / s^2

In the surface of the moon, gravitational acceleration is 1.63 m / s*2.

Answer:

Circuit

Explanation:

because a roughly circular line, route, or movement that starts and finishes at the same place.

This question can be solved by using the concepts of electrical energy, electricity, circuit, and electric current.

The flow of electricity from one place to another is called "Electrical Energy".

The electric current or electricity is defined as the rate of flow of electric charges from one point to another point, along a path known as a circuit. Electrical energy is caused by the movement of electric charges or the electric current from one point to another point of the circuit.

Therefore, this flow of electricity or electric current from one place to another place is termed Electrical Energy.

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The attached picture shows examples of electrical energy.

The freezing Point of water is a physical property

The ability of oxygen to react with iron to cause rust is chemical property

Explanation:

Answer:

New force = 0.063 N

Explanation:

Given that,

The electric force between two charges is\(4.2\times 10^{-2}\ N\)

The formula for the electric force is:

\(F=\dfrac{kq_1q_2}{r^2}\)

If the distance between the charges is doubled, r' = 2r and one of the charges is tripled, q₁' = 2q₁, q₂' = 3q₂

Put all the values,

\(F'=\dfrac{kq_1'q_2'}{r'^2}\\\\\dfrac{F}{F'}=\dfrac{\dfrac{kq_1q_2}{r^2}}{\dfrac{kq_1'q_2'}{r'^2}}\\\\\dfrac{F}{F'}=\dfrac{\dfrac{q_1\times q_2}{r^2}}{\dfrac{2q_1\times 3q_2}{(2r)^2}}\\\\\dfrac{F}{F'}=\dfrac{4}{6}=\dfrac{2}{3}\\\\F'=\dfrac{3\times 4.2\times 10^{-2}}{2}\\\\F'=0.063\ N\)

So, the new force is 0.063 N.

Answer:

The force becomes 0.0315 N.

Explanation:

Force, F = 4.2 x 10^-2 N

When the distance is doubled, a charge is tripled, Let the force is F'.

The force between the two charges is

\(F = \frac{K qq'}{r^2}\\\)

when, q' = 3 q' and r is 2 r so

\(F' = \frac{K 3qq'}{4r^2} = \frac{3 F}{4} = \frac {3\times 4.2\times 10^{-2}}{4}=0.0315 N\)

The wheel rotated 150 revolutions during the 5.0 seconds of braking. The closest option is c.

To answer this question, we need to know the rate of rotation of the wheel. Let's call this rate "r". We can find "r" by dividing the initial speed of the wheel by its radius:

r = v / r

r = 20 m/s / 0.5

r = 40 rev/s

Now we can use the formula for rotational motion:

θ = ωt + 1/2 αt²

where θ is the angle of rotation, ω is the initial angular velocity (in rev/s), t is the time, and α is the angular acceleration (which is negative in this case, since the wheel is slowing down).

We want to find θ when t = 5.0 s. We know that ω = 40 rev/s and α = -4 rev/s² (since the wheel is slowing down at a rate of 4 rev/s every second).

θ = ωt + 1/2 αt²

θ = (40 rev/s)(5.0 s) + 1/2 (-4 rev/s²)(5.0 s)²

θ = 200 rev - 50 rev

θ = 150 rev

Therefore, the wheel rotated 150 revolutions during the 5.0 seconds of braking. The answer is not listed, but the closest option is C) 9.6 rev, which is incorrect.

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Speed is a scalar quantity because it is only represented by magnitude not a direction.

the maximum height reached by ball is 0.45m.

Given :-

spring constant ( k ) = 400N/m

mass of ball = 1kg

spring compressed ( x )= 0.150m

we calculate height by using mechanical energy conservation According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved .

Mechanical energy is the sum of the potential and kinetic energies in a system :-

K₀ + U₀ = K + U    (eq 1)                    

where,

           K₀ = initial kinetic energy = 0

           U₀ = initial potential energy = \(\frac{1}{2} kx^{2}\)

           K = final kinetic energy when it reaches at its max height =0

           U = final potential energy when it reaches at its max height =mgh

The elastic potential energy is = \(\frac{1}{2} kx^{2}\)

                                                     =  0.5 × 400 × 0.15 × 0.15

                                                     = 4.5 J.  

putting value in eq 1 :-

                                    0 + 4.5 = 0 + mgh

                                     4.5 = 10h

                                      h=0.45m

Thus from the above conclusion we can say that the maximum height reached by the ball is 0.45m.

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169 Kcalories are provided by a portion of food that has 25 grams of carbs, 6 grams of protein, and 5 grams of fat.

Kcalories mean kilo-calories. Basically, kilo-calorie or kcal refers to 1,000 calories. To get the Kcalories of food, you have to add the kcal of carbohydrates, protein, and fat.

Get the product by multiplying the number of grams of carbohydrate, protein, and fat by 4,4, and 9, respectively. So if you want to get the energy or Kcal available from a meal, you must then combine the outcomes.

Simply put it, take note of the following conversions:

So here's how to compute the Kcalories of food that contains 25g carbs, 6g protein, and 5g fat.

1.    25g x 4kcal/g = 100kcal

2.    6g x 4kcal/g = 24kcal

3.    5g x 9kcal/g = 45kcal

4.    100kcal + 24kcal + 45kcal = 169kcal!


Therefore, the food contains 169 kilo-calories!

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Answer:

D

Explanation:

If the ball was in motion there would be kinetic energy but as there is no movement there is no kinetic energy only potential

Answer:

\(\huge\boxed{\sf a_{c} = 15.6\ m/s^2}\)

Explanation:

Given Data:

Radius = r = 40 m

Speed = v = 25 m/s

Required:

Centripetal Acceleration = \(\sf a_{c}\) = ?

Formula:

\(\sf a_{c} = \frac{v^2 }{r}\)

Solution:

\(\sf a_{c} = \frac{v^2}{r} \\\\a_{c} = \frac{(25)^2}{40} \\\\a_{c} = \frac{625}{40} \\\\a_{c} = 15.6 m/s^2\\\\\rule[225]{225}{2}\)

Hope this helped!

Force(F) = 350 N

Work (W)= 0 J

Apply the formula:

Work = Force x Distance

Isolate distance(d)

Distance = Work/ Force

d = W/F = 0 /350 = 0 m

The distance that the object traveled is 0 (zero)

Answer:

incomplete question, resistor must be there

Explanation:

true true tire true tire ture

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The given statement is true when you look at your speedometer and it reads 60 mph this is your instantaneous speed.

In everyday language, most people use the terms speed and velocity interchangeably. In physics, however, they do not have the same meaning and are distinct concepts. One major difference is that speed has no direction; that is, speed is a scalar.

We can calculate the average speed by finding the total distance traveled divided by the elapsed time:

Average speed=Total distance=Elapsed time.

Average speed is not necessarily the same as the magnitude of the average velocity, which is found by dividing the magnitude of the total displacement by the elapsed time. For example, if a trip starts and ends at the same location, the total displacement is zero, and therefore the average velocity is zero. The average speed, however, is not zero, because the total distance traveled is greater than zero. If we take a road trip of 300 km and need to be at our destination at a certain time, then we would be interested in our average speed.

However, we can calculate the instantaneous speed from the magnitude of the instantaneous velocity:

Instantaneous speed

=|v(t)|.

If a particle is moving along the x-axis at +7.0 m/s and another particle is moving along the same axis at −7.0 m/s, they have different velocities, but both have the same speed of 7.0 m/s. Some typical speeds are shown in the following table.

We have now seen how to calculate the average velocity between two positions. However, since objects in the real world move continuously through space and time, we would like to find the velocity of an object at any single point. We can find the velocity of the object anywhere along its path by using some fundamental principles of calculus. This section gives us better insight into the physics of motion and will be useful in later chapters.

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The force on the negatively charged object is approximately -1.44 N. The force between two charged objects can be calculated using Coulomb's law.

Coulomb's law states that the force (F) between two charges (q1 and q2) is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Mathematically, Coulomb's law is represented as:

F = k * (|q1| * |q2|) / r^2,

where F is the force, k is the electrostatic constant (9 × 10^9 N m^2/C^2), |q1| and |q2| are the magnitudes of the charges, and r is the distance between the charges.

In this case, the pith ball possesses a charge of +10 μC (10 × 10^-6 C), and the metal plate possesses a charge of -64 μC (-64 × 10^-6 C). The distance between them is 0.02 m.

Plugging in the values into Coulomb's law:

F = (9 × 10^9 N m^2/C^2) * ((10 × 10^-6 C) * (-64 × 10^-6 C)) / (0.02 m)^2.

Simplifying the calculation:

F = (9 × 10^9 N m^2/C^2) * (-640 × 10^-12 C^2) / (0.0004 m^2).

F = -2.56 × 10^-3 N.

Therefore, the force on the negatively charged object is approximately -1.44 N (since the negative sign indicates the direction of the force).

The force on the negatively charged object is approximately -1.44 N. This is calculated using Coulomb's law, which considers the magnitude of the charges and the distance between them. The negative sign indicates an attractive force between the two charges.

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Answer:

The geological features that is not created by the movement of the Earth's plates is Canyons.

Explanation:

because the boy has larger surface area due to which he offers the larger air resistance which decreases the acceleration so, he will fall towards the earth's surface approximately with constant velocity.

The final speed of the go-cart in this inelastic collision is 70 m/s. The result is obtained by using the concept of inelastic collision.

The inelastic collision of two objects occur when some of the kinetic energy is lost, converted to other forms. It means that the law of conservation of kinetic energy doesn't apply.

In this case, both objects will stick together and move together with the same speed. The law of conservation of momentum applies.

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

Where

The 4-wheeler collides with the go-cart in inelastic collision.

Find the final speed of the go-cart!

Note that this is an inelastic collision. In this case, the 4-wheeler and go-cart will stick together and move with the same speed.

The formula for conservation of momentum will be

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

m₁v₁ + m₂v₂ = (m₁ + m₂)v'

It means that

v₁' = v₂' = v'

The final speed of the go-cart is the same with the final speed of the 4-wheeler.

v₂' = v₁' = 70 m/s

Hence, the go-cart will have the final speed of 70 m/s.

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The evidence for the transformation of chemical energy into electrical energy in the process of making a call from cell phone A to cell phone B is shown in the diagram by the presence of the battery.

As mentioned, cell phones are powered by batteries that produce the electrical energy used to send or receive a call. The battery is the source of chemical energy that is converted into electrical energy, which powers the phone's internal circuitry and enables it to encode the call and send it through the air to the base station.

The transformation of chemical energy into electrical energy is a crucial process that enables the functioning of many electronic devices, including cell phones. Without this conversion, it would not be possible to power the internal circuitry of the phone, and it would not be able to send or receive calls. Therefore, the presence of the battery in the diagram is strong evidence that chemical energy is being converted into electrical energy to power the call from cell phone A to cell phone B.

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Answer: Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.

Explanation:

Answer:

Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.

Explanation:

Because energy transferred by the mass motion of molecules.

(a) The divergence angle of the Gaussian beam can be calculated using the formula θ = λ / (π * w0). (b) To decrease the beam spread from a 40° cone angle to a 10° cone angle, a lens system needs to be designed. (c) The Numerical Aperture (NA) of the receiver can be calculated using the formula NA = n * sin(θ).

(a) The divergence angle of the Gaussian beam can be calculated using the formula θ = λ / (π * w0), where λ is the wavelength and w0 is the spot size. Given that the spot size is 1 mm (or 0.001 m) and the wavelength is 0.82 µm (or 8.2 x 10^-7 m), we can substitute these values into the formula to find the divergence angle. The divergence angle is approximately 0.105 radians.

To calculate the spot size at 5 km, we can use the formula w = w0 + θ * z, where w0 is the initial spot size, θ is the divergence angle, and z is the propagation distance. Plugging in the values w0 = 1 mm, θ = 0.105 radians, and z = 5 km (or 5000 m), we can calculate the spot size at 5 km. The spot size at 5 km is approximately 1.525 mm.

(b) To decrease the beam spread from a 40° cone angle to a 10° cone angle, a lens system needs to be designed. Given that the source is a square planar radiator measuring 20 µm on a side, the initial beam spread corresponds to a cone with a full-cone angle of 40°. To decrease the cone angle to 10°, a lens system can be used to focus and collimate the light beam.

The specific design of the lens system depends on the requirements and constraints of the system. However, in general, a combination of lenses, such as converging and diverging lenses, can be used to manipulate the light beam. By properly selecting and arranging the lenses, the beam spread can be reduced to the desired 10° cone angle. The image size and position will vary depending on the specific lens system design.

(c) The Numerical Aperture (NA) of the receiver can be calculated using the formula NA = n * sin(θ), where n is the refractive index of the medium and θ is the half-angle subtended by the receiver's photodetector. In this case, the receiver has a 10-cm focal length and a 1-cm photodetector diameter, which corresponds to a half-angle of θ = arctan(0.5/10) ≈ 2.86°.

Given that there is an inserted medium with a refractive index of n = 1.5 between the lens and detector, we can substitute these values into the NA formula. The Numerical Aperture of the receiver is approximately NA = 1.5 * sin(2.86°) ≈ 0.076.

The material dispersion (M) of a laser diode for a given wavelength can be calculated using the formula M = (dλ / λ), where dλ is the change in wavelength and λ is the original wavelength. However, in the provided question, the value for the change in wavelength (dλ) is not given, so it's not possible to calculate the material dispersion of the laser diode.

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