A 62-kg ice-skater moving at 6.3 m/s glides to a stop.
Assuming the ice is at 0∘C and that 50% of the heat generated by friction is absorbed by the ice, how much ice melts? The heat of fusion for water is 333 kJ/kg.
Express your answer to two significant figures and include the appropriate units.
Expert Answer

Considering the definition of velocity, the velocity is 0.2 m/s due east.

Velocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction, so it is considered a vector magnitude.

In other words, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction, and can be calculated using the expression:

velocity= distance traveled÷ time

Velocity has units of distance/time and includes direction of travel.

In this case, you know:

Replacing in the definition of velocity:

velocity= 4 meters÷ 20 seconds

Solving:

velocity= 0.2 m/s

Finally, the velocity is 0.2 m/s due east.

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The Doppler technique can be used to estimate the semimajor axis of a planet's orbit by measuring the speed at which the star orbits the mutual center-of-mass of the star and planet, and using Newton's theory of gravity.

The Doppler technique, also known as the radial velocity method, is a common method for detecting exoplanets by measuring the slight wobble of a star caused by the gravitational pull of an orbiting planet. This wobble induces shifts in the star's spectral lines, which can be detected as changes in the star's line-of-sight velocity. By observing these velocity changes, astronomers can determine the speed at which the star is moving toward or away from us. This velocity change is directly related to the mass and orbital properties of the planet, including the semimajor axis of its orbit. Newton's theory of gravity provides the necessary mathematical framework to relate the observed velocity changes to the orbital parameters of the planet. By analyzing the pattern of the star's line-of-sight velocity changes over time, astronomers can estimate the semimajor axis of the planet's orbit, which represents the average distance between the planet and its host star. This information is crucial for understanding the orbital dynamics and characteristics of exoplanetary systems.

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Answer:

stars #3

Explanation:

they didn't know it was stars

If the rod is in static equilibrium, the magnitude of force (x)that must be exerted on the other end of the rod is C, 20 N.

In order for the massless rod to be in static equilibrium, the net torque about the pivot point must be zero. This means that the clockwise torque produced by the force exerted on the right end of the rod (x) must be equal and opposite to the counterclockwise torque produced by the weight of the rod and the force exerted on the left end of the rod (15 N).

The clockwise torque is given by

Tc = x(0.4 m),

where 0.4 m is the distance from the pivot point to the point where the force is exerted.

The counterclockwise torque is given by

Tcc = (15 N)(0.3 m) + (10 N)(0.6 m),

where 0.3 m and 0.6 m are the distances from the pivot point to the center of mass of the rod and the point where the weight is acting, respectively.

Setting Tc equal to Tcc and solving for x, we get:

x(0.4 m) = (15 N)(0.3 m) + (10 N)(0.6 m)
x = (15 N)(0.3 m + 0.6 m)/(0.4 m)
x = 20 N

Therefore, the magnitude of force (x) that must be exerted on the other end of the rod is 20 N.

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Answer:

Explanation:

The resistance of a material is expressed as R = ρL/A

Volume of the original material V = Area * Length = A*L

ρ is the resistivity of the material

R is the resistance

A is the cross sectional area

L is the length of the wire.

If the wire is stretched o twice its original length then new length of the wire L₂ = 2L. Note that an increase in the length of wire will affect its area but its volume and density will not change.

This means V = V₂

A*L = = A₂*L₂

A*L = A₂*(2 L)

A = 2 A₂

A₂ = A/2

The new resistance of the material Rf = ρL₂/A₂

R₂ = ρ(2 L)/(A/2)

Rf =  2ρL * 2/A

Rf = 4(ρL/A)

Since R = ρL/A

R₂ = 4R

Hence, the resistance of the stretched wire will be four times that of the original wire.

If the wire is stretched to twice its original length, the new resistance would be quadrupled.

The resistance (R) of a wire is given by:

\(R=\rho\frac{L}{A} \\\\where\ L\ is\ length\ of\ wire, A\ is\ the\ cross\ sectional\ area\ and\ \rho\ \\is\ the\ resistivity\)

Since the wire is stretched, the new length (L₁) is twice its original length, hence:

L₁ = 2L

An increase in length affects the area, the new area (A₁) is:

initial volume = volume after stretch

AL = A₁L₁

AL = A₁(2L)

A₁ = A/2

The resistance of the stretched wire (R₁) is:

\(R_1=\rho\frac{L_1}{A_1} \\\\R_1=\rho\frac{2L}{A/2} \\\\R_1=4\rho\frac{L}{A}=4R\)

Therefore if the wire is stretched to twice its original length, the new resistance would be quadrupled.

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A.1.2°C

The First Law of Thermodynamics states that heat is a form of energy, and thermodynamic processes are therefore subject to the principle of conservation of energy.

To find internal energy, you have to add the heat added in the system and work done in the system because the work done is not lost but rather it is added in the system.

Step 1

a)let

to add the energy it must have the same measure unit, so let's convert calories into Julies

remember that

b) now, replace in the formula

now, we have the change of internal energy

Step 2

now, let's find the change in temperature

Use the calorimetry formula.

where m is the mass, Q = heat energy, c = specific heat capacity, and ∆T = change in temperature

a)

let

now,

so, the answer is

A.1.2°C

By 0.27m, the kitchen is farther than the hallway. Because Kim's home's hallway is 4.63 metres long. The distance of her kitchen is 0.0049 kilometres. The distance is same in any velocity.

Distance is measured numerically or sporadically qualitatively. far apart certain things or points are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. Purposes In disciplines that study human behaviour, such the social sciences, qualitative measurements are frequently used. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time.

4.9m is equal to 0.0049 km;

the difference is equal to 4.9 - 4.63;

and the difference is equal to 0.27.

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Answer:

Explanation:

let's find the acceleration

\(v = u + at \\ 8 = 0 \times a \times 2.5 \\ \alpha = 3.2m {s}^{ - 2} \)

then distance

\( {v}^{2} = {u}^{2} + 2as \\ {8}^{2} = 2 \times 3.2 \times s \\ \\ s = 10m \)

Answer:

it would be nine

Explanation:

just subtract 8 from 17

Answer:

2.5 seconds

Explanation:

20:8= 2.5 seconds

have a nice day! (^o^)

Answer:

2.5 seconds

Explanation:

20 ÷ 8 = 2.5

That's it.

The loss of load due to the sudden contraction of the pipe section, where the diameter changes from 1.20 meters to 60 cm, can be calculated using the principles of continuity and Bernoulli's equation.

With a flow rate of 850 Its/sec, the loss of load can be determined by comparing the velocities at the two points of the pipe section. Additionally, the density of water is assumed to be 1000 kg/m^3. The calculated loss of load provides insight into the changes in fluid dynamics caused by the abrupt contraction. To calculate the loss of load, we first determine the cross-sectional areas of the pipe at the two points. At point 1, with a diameter of 1.20 meters, the radius is 0.60 meters, and the area is calculated using the formula A1 = π * r1^2. At point 2, with a diameter of 60 cm, the radius is 0.30 meters, and the area is calculated as A2 = π * r2^2.

Next, we calculate the velocity of the fluid at point 1 (V1) using the principle of continuity, which states that the mass flow rate remains constant along the pipe. V1 = Q / A1, where Q is the flow rate given as 850 Its/sec. Using the principle of continuity, we determine the velocity at point 2 (V2) by equating the product of the cross-sectional area and velocity at point 1 (A1 * V1) to the product of the cross-sectional area and velocity at point 2 (A2 * V2). Thus, V2 = (A1 * V1) / A2. The loss of load (ΔP) can be calculated using Bernoulli's equation, which relates the pressures and velocities at the two points. Assuming neglectable changes in pressure and equal elevations, the equation simplifies to (1/2) * ρ * (V1^2 - V2^2), where ρ is the density of the fluid.

By substituting the known values into the equation, including the density of water as 1000 kg/m^3, the loss of load due to the sudden contraction can be determined. This value quantifies the impact of the change in pipe diameter on the fluid dynamics and provides insight into the flow behavior at the given flow rate. The answer is 11.87

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Answer:

B Explain why the relationship between force and time is important to a helmet designer.

During a collision, a skater will suddenly come to a complete stop. This is a foam of acceleration. A helmet can change the amount of

hope you get a good grade

Answer:

Voltage = 10.54545

Given -

Current (I) - 11

Amps - 11

Resistance - 0.95868

Power - 116

We can conclude:

The voltage will be 10.54545, because of Ohm's Law:

Ohm's law states that:

Voltage (V) = Current (I) * Resistance (R)

Power (P) = Voltage (V) * Current (I)

The statement that describes an energy measurement is one gram of wood stores 16,000 J, therefore the correct answer is option D

It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.

Thermal energy can be produced with help of various means such as by burning fossil fuels, with the help of solar energy.

The Joule is the recognized unit of measurement for energy (J). Kilowatt/hour (kWh), which is used specifically for electric energy, should be listed among the most used units for measuring energy (in fact it is used to calculate electricity bills). The Terawatt/hour (TWh), or one billion kW/h, is used to calculate the output of big power facilities or the country's consumption.

Thus, The statement that describes an energy measurement is one gram of wood stores 16,000 J, therefore the correct answer is option D

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The angle necessary to keep a 10 kg box motionless, given a coefficient of static friction of 0.55 between the box and the ramp, is 33.4°, which corresponds to Option A.

To determine the angle, we can use the relationship between the coefficient of static friction, the angle of the incline, and the gravitational force acting on the box. The maximum static friction force can be calculated using the formula:

Friction force = coefficient of static friction * Normal force

The Normal force can be found by decomposing the gravitational force acting on the box into components parallel and perpendicular to the incline. The perpendicular component (Normal force) is equal to the weight of the box (mass * gravitational acceleration).

Since the box is motionless, the friction force must be equal to the component of the gravitational force acting parallel to the incline:

Friction force = Component of weight parallel to incline

By substituting the given values and solving for the angle, we find:

coefficient of static friction = tan(angle)

angle = arctan(coefficient of static friction)

angle = arctan(0.55) ≈ 33.4°

Therefore, the correct answer is Option A, 33.4°.

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The point charge is subject to a magnetic force from the wire that is present in the positive y-direction.

The magnets are attracted to or repelling one another as a result of this force. A compass, the motor, the magnetic that hold items in refrigerators, railroad tracks, and modern roller coasters are examples of objects that use magnetic force. A magnetic field is created by all moving charges, and any charges that move across its regions feel a force.

A magnet exerts a magnetic pull on certain materials such iron, steel, copper, and cobalt. This force can act from a distance, making it a sort of non-contact force. It does not needed that the objects be in direct contact. We saw how to utilize a magnet to collect coins in the example above.

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A piece of steel sinks in water because steel is denser than water. However, a steel ship is a hollow object made of steel and contains a lot of air in it. Due to presence of a lot of air in it, the average density of the ship becomes less than the density of water. Hence a ship floats in water.

Answer:

Cause its a steel block

Explanation:

thats like putting a brick in the water and expecting it to float

an object that isn't completely transparent or opaque kinda the middleground

it allows light through but it's not clear

The new angular speed of the merry-go-round after the man walks to a point 1.0 m from the center is approximately 1.80 rad/s.

Let's denote the initial angular speed of the merry-go-round as ω₁, and the new angular speed after the man walks to a point 1.0 m from the center as ω₂.

Given:

Initial angular speed ω₁ = 0.30 rad/s

Mass of the man m = 80.0 kg

Initial distance of the man from the axis of rotation r₁ = 2.0 m

New distance of the man from the axis of rotation r₂ = 1.0 m

Mass of the merry-go-round (cylinder) M = 6.50 * 10² kg

Radius of the merry-go-round (cylinder) R = 2.00 m

The conservation of angular momentum can be applied in this scenario, where the initial angular momentum of the system is equal to the final angular momentum of the system.

The initial angular momentum of the system is given by:

Initial angular momentum L₁ = Moment of inertia of the man about the axis of rotation x initial angular speed of the merry-go-round

The moment of inertia of the man about the axis of rotation can be calculated using the formula for the moment of inertia of a point mass rotating about an axis at a distance r from the axis of rotation:

Moment of inertia of the man about the axis of rotation I₁ = m x r₁²

The final angular momentum of the system is given by:

Final angular momentum L₂ = Moment of inertia of the man about the new axis of rotation x new angular speed of the merry-go-round

The moment of inertia of the man about the new axis of rotation can be calculated using the same formula as above, but with the new distance r₂:

Moment of inertia of the man about the new axis of rotation I₂ = m x r₂²

Setting the initial and final angular momenta equal to each other, we can solve for the new angular speed ω₂:

L₁ = L₂

I₁ * ω₁ = I₁ * ω₂

Substituting the expressions for I₁, I₂, and the given values:

m * r₁² * ω₁ = m * r₂² * ω₂

Simplifying:

r₁² * ω₁ = r₂² * ω₂

Plugging in the given values for r₁, r₂, and ω₁, and solving for ω₂:

2.0² * 0.30 = 1.0² * ω₂

\(\omega_2 = \frac{(2.0^2*0.30)}{1.0^2}\)

ω₂ ≈ 1.80 rad/s.

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For the given position function r(t) = 8t^2i * e^(8t)j * e^(-8t)k, the velocity vector is (16t i + 64t^2 e^(8t)j - 64t^2 e^(8t)k), the acceleration vector is (16 i + 128te^(8t)j) .

The velocity, acceleration, and speed of a particle can be determined by differentiating the position function with respect to time. For the given position function r(t) = 8t^2i * e^(8t)j * e^(-8t)k, the velocity, acceleration, and speed can be calculated.

The velocity vector represents the rate of change of position, the acceleration vector represents the rate of change of velocity, and speed is the magnitude of the velocity vector.

To find the velocity vector, differentiate the position function r(t) with respect to time:

v(t) = dr(t)/dt = (16t i * e^(8t)j * e^(-8t)k) + (8t^2 i * 8e^(8t)j * e^(-8t)k) + (8t^2 i * e^(8t)(-8e^(-8t))k)

Simplifying this expression, we get:

v(t) = (16t i + 64t^2 e^(8t)j - 64t^2 e^(8t)k)

To find the acceleration vector, differentiate the velocity vector with respect to time:

a(t) = dv(t)/dt = (16 i + 128te^(8t)j + 64t(8e^(8t) - 8e^(8t))j + 64t^2(-8e^(8t))k)

Simplifying this expression, we get:

a(t) = (16 i + 128te^(8t)j)

The speed of the particle is the magnitude of the velocity vector. Using the velocity vector obtained earlier, we can calculate the speed at any given time t:

speed = |v(t)| = sqrt((16t)^2 + (64t^2 e^(8t))^2 + (64t^2 e^(8t))^2)

In summary, for the given position function r(t) = 8t^2i * e^(8t)j * e^(-8t)k, the velocity vector is (16t i + 64t^2 e^(8t)j - 64t^2 e^(8t)k), the acceleration vector is (16 i + 128te^(8t)j), and the speed is given by the magnitude of the velocity vector. The speed equation involves the square root of the sum of the squares of the components of the velocity vector.

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The equation below is completed by the chromium nucleus.

Chromium is mostly found in chromite. The locations where this ore can be found include South Africa, India, Kazakhstan, and Turkey. In an electric arc furnace, chromite is often reduced with carbon to generate chromium metal, as is chromium(III) oxide when it is reduced with silicon or aluminum.

An important mineral called chromium helps insulin work properly in the body by regulating blood sugar levels. Your body uses the hormone insulin to convert sugar, starchy carbs, and other foods into the energy you require for daily activities.

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The acceleration of the ostrich when running from 12.3 m/s to 15.9 m/s in 5.2 seconds is 0.69 m/s².

This can be defined as the rate of change of velocity.

To calculate the acceleration of the ostrich, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the ostrich is 0.69 m/s². The right option is A. 0.69 m/s².

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Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.

A triangle is a polygon with 3 sides. Also, It has three vertices.

As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below as attached below.

Therefore, the record of the letters in your triangle from left to right will now be "EGFBIHDCA" from the former arrangement which was "ABCDEFGHI".

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Answer:

Don't Smoke, Check for mold, Exercise, Hydration, have a healthy diet!

Explanation

If you do these five things then your respiratory system will be in good shape. There are plenty of other things that you can do but these five will suffice for your question. Good luck!

C. They are probably the same temperature. it is likely that both the red book and the blue book are at the same temperature.

The color of an object does not inherently determine its temperature. The perceived color of an object is based on the wavelengths of light it reflects or absorbs. While different colors may have different abilities to reflect or absorb light, this does not necessarily indicate differences in temperature. Without additional information about the books or their exposure to external heat sources, it is reasonable to assume that both books sitting on the table would be at the same ambient temperature. In the absence of any specific heating or cooling mechanisms acting on the books, they would equilibrate with the surrounding environment and reach the same temperature over time.

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a) The red dots marking the beginning of each complete wave pattern for the long-wavelength sound would be spaced apart by approximately 17.2 meters.

b) The blue dots marking the beginning of each complete wave pattern for the short-wavelength sound would be spaced apart by approximately 1.7 centimeters.

To determine the distance between the red dots for long-wavelength sound, we need to find the wavelength corresponding to the lowest frequency of 20.0 Hz.

The speed of sound in air at room temperature is approximately 343 meters per second.

Using the formula v = ƒλ, where v is the speed of sound and ƒ is the frequency, we can rearrange the equation to solve for λ (wavelength). Substituting the given values, we have λ = v / ƒ = 343 m/s / 20.0 Hz ≈ 17.2 meters.

For the blue dots representing short-wavelength sound, we need to find the wavelength corresponding to the highest frequency of 20.0 kHz. Using the same formula, we get λ = v / ƒ = 343 m/s / 20.0 kHz = 0.0172 meters = 1.7 centimeters.

Therefore, the red dots for long-wavelength sound would be spaced approximately 17.2 meters apart, while the blue dots for short-wavelength sound would be spaced approximately 1.7 centimeters apart.

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Complete question here:

Provided the amplitude is sufficiently great, the human ear can respond to longitudinal waves over a range of frequencies from about 20.0 Hz to about 20.0 kHz.

a) If you were to mark the beginning of each complete wave pattern with a red dot for the long-wavelength sound, how far apart would the red dots be?

b) If you were to mark the beginning of each complete wave pattern with a blue dot for the short-wavelength sound, how far apart would the blue dots be?

The maximum height (h) above the point of release that the block rises is approximately 0.196 meters.

1. Determine the potential energy stored in the compressed spring using Hooke's Law: \(PE_{spring}  = 0.5 * k * x^ {2}\), where k is the force constant (5,125 N/m) and x is the compression distance (0.098 m).

PE_spring = 0.5 * 5,125 * (0.098)^{2} \(PE_{spring}  = 0.5 * 5,125* (0.098)^2\)

≈ 24.605 Joules

2. When the block leaves the spring, all the potential energy stored in the spring is converted to kinetic energy (KE) of the block: \(KE_{block} \)  = \(PE_{spring}\).

3. At the maximum height, the block's kinetic energy is converted into gravitational potential energy

\(PE_{gravity}\) : \(PE_gravity = m * g * h\), where m is the mass of the block (0.246 kg), g is the acceleration due to gravity (9.81 m/s²), and h is the maximum height above the point of release.

4. Equate the kinetic energy of the block to the gravitational potential energy at the maximum height: \(KE_{block}\) = \(PE_{gravity}\).

24.605 J = 0.246 kg * 9.81 m/s² * h

5. Solve for the maximum height (h): h ≈ 0.196 meters.

The block rises to a maximum height of approximately 0.196 meters above the point of release after being released from the compressed spring.

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Answer:

B

Explanation: