A 0.300 kg air hockey puck
moving 3.33 m/s northwest hits
an identical puck moving south at
1.87 m/s. The first puck ends up
going 2.10 m/s west. What is the
x-component of the final velocity
of the second puck?

Answer:

The satellite that is 7500 km above earth's surface is 1.24 times faster than the satellite at 15000 km above earth's surface

Explanation:

Generally the gravitational force acting on each satellite is mathematically represented as

\(F = \frac{G * M_e * m_2 }{r^2}\)

Here \(M_e\) is the mass of the earth

\(r = r_e + R \)

So \( r_e \) is the radius of the satellite and R is the radius of earth with value R = 6371 km

This force is also equivalent to the centripetal force acting on each satellite which is mathematically represented as

\(F = \frac{mv^2}{ r^2}\)

So

\(\frac{mv^2}{ r^2} = \frac{G * m_1 * m_2 }{r^2}\)

=> \(v = \sqrt{ \frac{GM_e}{r} }\)

So for \(r = 7500+ 6371 = 13871 \ km \)

We have that

\(v_1 = \sqrt{ \frac{GM_e}{13871} }\)

and \(r = 15000+ 6371 = 21371 \ km \)

We have that

\(v_2 = \sqrt{ \frac{GM_e}{21371} }\)

So

\(\frac{v_1}{v_2} = \frac{\sqrt{\frac{GM_e}{13871} } }{ \sqrt{\frac{GM_e}{21371}} }\)\(v = \sqrt{ \frac{GM_e}{r} }\)

 =>  \(\frac{v_1}{v_2}  = \sqrt{ \frac{21371}{13871} }\)

 =>   \(v_1    = 1.24 v_2\)

So satellite that is 7500 km above earth's surface is 1.24 times faster than the satellite at 15000 km above earth's surface

Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

Answer:

See below

Explanation:

Average speed =  (0+ 10)/2 = 5 m/s

 then to cover 50 m     will take    50 m / 5 m/s  = 10 seconds

     change in velocity/ change in time = acceleration = 10/10 = 1 m/s^2

Answer:

The input energy to  engine 2  is \(E_2 = 3807.7\ J\)

Explanation:

From the question we are told that

     The efficiency of engine one is  \(\eta_1 = 0.18\)

     The input energy required is \(E = 5500 \ J\)

       The efficiency of engine 2 is \(\eta_2 = 0.26\)

Generally the workdone by the engine 1  is mathematically represented as

       \(W_1 = E * \eta_1\)

=>     \(W_1 = 5500 * 0.18\)

=>     \(W _ 1= 990 \ J\)

Generally the workdone by engine 2  is mathematically represented as  

        \(W _2= E_1 * \eta_2\)

=>     \(W _2 = E_1 * 0.26\)

=>     \(W_2 =0.26E_1\)

From the question we are told that \(W_1 = W_2\)

So  

       \(990 =W_2 =0.26E_1\)

=>     \(E_2 = 3807.7\ J\)

The electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.

Given the data in the question;

Emf are invisible energy regions also called radiation, associated with the use of electrical power and various forms of lighting.

From Faraday's law; emf E is expressed as;

\(emf = -N\frac{\delta \theta }{\delta t}\)

Where N is number of loops, \(\delta \theta\) is change in magnetic flux ( \(\delta \theta_2 - \delta \theta_1\) ) and \(\delta t\) is change in time.

First we determine the change in flux through each loop;

\(\delta \theta\) =  ( \(\delta \theta_2 - \delta \theta_1\) )

\(\delta \theta = (1.33 * 10^{-4} Wb) - (6.78 * 10^{-4} Wb)\\\\\delta \theta = -0.000545\)

Now, we substitute our values into the expression above

\(emf = -N\frac{\delta\theta}{\delta t} \\\\emf = (-605) * (\frac{-0.000545}{0.0333}) \\\\emf = (-605) * (-0.016366)\\\\emf = 9.90V\)

Therefore, the electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.

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A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.

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In order to determine the speed of 8kg block before it hits the second block, calculate the net force on the 8kg block.

Consider that there .

Consider that there

According to the question, the resulting angular speed (in rad/s) of the disk is 0.38 rad/s.

Angular speed is the rate at which an object or particle rotates or revolves around a point or an axis. It is measured in radians per second or revolutions per minute. Angular speed is an important concept in mechanics, astrophysics, and engineering.

In this case, the angular momentum of the person is 47.0 kg×2.80 m/s×1.54 m = 186 kg m²/s.

Therefore, the change in angular momentum of the disk is equal to the angular momentum of the person, which is 186 kg m²/s.

Using the conservation of angular momentum equation, we can find the angular speed of the disk by rearranging the equation to get ω = (ΔL)/I.Therefore, the angular speed of the disk is ω = 186 kg m²/s/486 kg m² = 0.38 rad/s.

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F - f = ma

The sum of forces on the x-axis = ma (since it is not stated that the forces are in equilibrium)

By resolving the Free Body

Simplifying the equation above, we have:

F - f = ma

Option D is correct: The rod gained electrons.

EXPLANATION WHY ABC INCORRECT

Options A and C are incorrect because they both suggest that the rod has lost or gained protons, which is not possible through rubbing. Protons are tightly bound within the atomic nucleus and cannot be transferred by rubbing. Similarly, option B is incorrect because it suggests that the rod has lost electrons, whereas the question explicitly states that the rod has become positively charged, which can only happen if it gains positive charge or loses negative charge.

A plastic rod becomes positively charged when rubbed against a cloth due to the loss of negatively charged electrons. The rod does not lose or gain protons.

When a plastic rod is rubbed against a cloth, it becomes positively charged due to the transfer of electrons from the rod to the cloth. In terms of the given choices, B. The rod lost electrons is the correct statement. Electrons have a negative charge, therefore when they are removed from an object, it becomes positively charged. Contrary to some misconceptions, protons do not transfer during this process because they reside in the nucleus of an atom, which is a comparatively stable and inaccessible region.

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Given,

The mass of the ball, m=0.5 kg

The acceleration of the ball, a=50 m/s²

From Newton's second law, the force acting on a body is equal to the product of the mass body and the acceleration produced due to the applied force.

Thus, the applied force is,

On substituting the known values,

Thus the applied force is 25 N

The frictional force acting on a 20 kg block that is being pushed with 50 N of force and the weight of the block are calculated as follows:Frictional force:The frictional force is a force that opposes motion between two surfaces that are in contact. It's typically symbolized by the letter f.

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Answer:

A.

Explanation:

Amplitude measures how much a wave rises or falls. This is illustrated by A.

In the diagram, the amplitude of the wave is shown by A.

There are various definitions of amplitude, which are all functions of the magnitude of the differences between the variable's extreme values.

The amplitude of a variable is simply a measure of change relative to its central position. In contrast, magnitude is a measure of the distance or quantity of a variable irrespective of its direction.

Amplitude is a property that is unique to waves and oscillations.

Therefore, in the diagram, the amplitude of a wave is shown by A.

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19.3 gcm3 19.3 g c m 3 is equivalent to 19300 kgm3 due to the decimal place shifting due to the conversion being in metric measurements.

The amount of objects, including people, animals, plants, and other living things, that are present in a region is known as the density. The number of objects is divided by the area to determine density. The number of inhabitants in a nation divided by its size, measured in square kilometers or miles, is the population density of that nation.

In reference to the amount of matter contained in a thing, density refers to how much volume the object or substance occupies.

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Given:

Two skydivers jump from an airplane at an altitude of: d = 5000 m

The mass of the first skydiver is: m1 = 57 kg

The mass of the second skydiver is: m2 = 68 kg

Area = 0.18 m²

Air density = 1.21 kg/m³

Drag Coefficient: C = 0.070

To find:

The amount of time each skydiver takes to get to the ground.

Explanation:

The magnitude of drag force which acts opposite in the opposite direction is equal to the weight of the skydiver. Thus, the magnitude of the drag force can be calculated as:

Here, F1 is the magnitude of the drag force on the first skydiver and F2 is the drag force on the second skydiver.

The expression for drag force relating to the velocity is given as:

For the first skydiver the drag force is given as:

The velocity v1 of the first skydiver is 270.70 m/s.

The time t1 taken by the first skydiver to get to the ground can be calculated as:

The first skydiver takes 18.47 seconds to get to the ground.

For the second skydiver, the drag force is given as:

The velocity v2 of the second skydiver is 259.67 m/s.

The time t2 taken by the second skydiver to get to the ground can be calculated as:

The second skydiver takes 16.91 seconds to get to the ground.

Final answer:

The first skydiver takes 18.47 seconds to get to the ground.

The second skydiver takes 16.91 seconds to get to the ground.

The mass of 2nd particle  be 4.97×10⁻⁷ kg.

The common charge can not be determined.

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

Given that: two equally charged particles are held apart when they are released from rest. So force acting on them is same.

For 1st particle:

Mass: m₁ =  6.31×10⁻⁷ kg.

Acceleration: a₁ =  7.22 m/s².

For 2nd particle:

Acceleration: a₂ =  9.16 m/s².

Mass: m₂ = ?

As force acting on both particle is same.

m₁a₁ = m₂a₂

⇒ m₂ = m₁a₁/a₂ = ( 6.31×10⁻⁷ kg)×( 7.22 m/s²)/( 9.16 m/s²) = 4.97×10⁻⁷ kg.

So,   the mass of 2nd particle  be 4.97×10⁻⁷ kg.

As there has no mention of distance between them and which type of particle it is, common charge can not be determined.

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A white-hot iron piece has internal motion energy due to constant particle movement at the atomic and molecular levels, as per scientists. Thermal energy or heat energy is motion. Higher temperature means more kinetic energy and faster motion of atoms and molecules.

White-hot iron vibrates atoms and molecules at high temperatures. Kinetic theory states that all matter is made up of moving particles. Motion occurs at the microscopic level, beyond eye view. Higher temperature = greater particle energy.

When a scientist refers to white-hot iron, they recognize its high temperature corresponds to increased kinetic energy and motion. Motion and energy at the atomic level are not visible like a bowling ball, but are fundamental traits of matter.

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Based on the information provided, it is likely that the figure shows an alternating current (AC). The arrows under the electrons pointing right and left, both towards and away from the light bulb, indicate that the direction of the electron flow is changing periodically. This is a characteristic of alternating current, where the flow of electric charge reverses direction periodically, typically in a sinusoidal manner.

In an AC circuit, the voltage also changes direction periodically, which is consistent with the changing direction of the electron flow shown in the figure.

In an alternating current, the flow of electrons periodically reverses direction, causing the current to switch between positive and negative values. This is different from direct current (DC), where electrons flow in a single, constant direction.

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Answer:

el conductor

Explanation:

gracias por los puntitoss

Answer:

conductor

Explanation:

Answer:

4.6 Joules

Explanation:

K=1/2*MV^2

1/2 * 2.1kg * 2.1^2m/s

==4.6305  Joules

simplified to 4.6 Joules

A car started moving from rest and reached the speed of 160 km h in 30 minutes. The distance travelled is 40 km.

Initial velocity of the car, u = 0 m/s (as car started from rest)

Final velocity, v = 160 km/h = 160 × 1000/3600 m/sec = \(\frac{400}{9}\) m/sec

Time taken, t = 30 minutes = 30 × 60 seconds = 1800 seconds

Using the equation,

v = u + at

\(\frac{400}{9}\) = 0 + a × 1800

a = \(\frac{400}{9}\)×\(\frac{1}{1800}\) = \(\frac{2}{81}\) \(m/sec^{2}\)

Putting the value of a into the equation ,

\(v^{2}\) - \(u^{2}\) = 2as

\((\frac{400}{9} )^{2}\) - \((0)^{2}\) = 2 × \(\frac{2}{81}\) × s

s = \(\frac{160000}{81}\) × ×\(\frac{81}{4}\) = 40000 m = 40000 ÷ 1000 km

distance travelled by car, s = 40 km

So the distance travelled by the car is 40 km when it started moving from rest and reached the speed of 160 km h in 30 minutes.

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The distance traveled by the car is approximately 22.22 meters.

To calculate the distance traveled by the car, we need to convert the given information to appropriate units and apply the formula:

Distance = Speed × Time

Given:

Initial speed = 0 km/h (since the car started from rest)

Final speed = 160 km/h

Time = 30 minutes

First, we convert the time from minutes to hours:

Time = 30 minutes = 30/60 = 0.5 hours

Next, we convert the speeds to meters per second (m/s) for consistency:

Initial speed = 0 km/h = 0 m/s

Final speed = 160 km/h = (160 × 1000) / (60 × 60) = 44.44 m/s (rounded to two decimal places)

Now, we can calculate the distance using the formula:

Distance = Speed × Time

Distance = 44.44 m/s × 0.5 hours = 22.22 meters (rounded to two decimal places)

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They bounce off each other, conserving energy and momentum.

This is considered an elastic collision because they bounce off each other, conserving energy only.

Gas is the state of matter that is made up of particles which freely move about its container and they bounce off each other.

As the particles move over each other they collide without exerting any force in each other. This is known as elastic collision.

Kinetic energy is conserved in elastic collisions which occurs between gas molecules.

While in inelastic collision, momentum is conserved and kinetic energy is not.

Because the gas particles do not stick together as they collide, no force is exerted and kinetic energy is therefore conserved.

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The given scenario describes an experiment involving an electroscope, a glass bottle, a cardboard lid, a bolt or nail, a light wire, and an aluminum foil strip.

The purpose of the experiment is to demonstrate the behavior of electrons and their effect on the electroscope. Initially, when the electroscope is neutral, it means that there are equal numbers of protons and electrons on the foil leaves, causing them to hang down straight. The glass bottle and the cardboard lid act as insulators, preventing the rapid escape of electrons and maintaining equilibrium.

When the head of the bolt is touched with a plastic ruler that has been rubbed with fur or wool, the ruler gains excess electrons due to the process of friction. These excess electrons are transferred to the bolt since metal is a good conductor. The electrons then move down the bolt and accumulate on the foil leaves.

As the foil receives the additional electrons, the repulsive force between the like charges (electrons) causes the foil leaves to separate or fly apart from one another. This is a result of the electrostatic repulsion between the negatively charged leaves.

The purpose of using the glass bottle is to provide a protective barrier against air currents that could interfere with the experiment. It also allows observation of the behavior of the foil leaves as they move apart, indicating the presence of excess electrons.

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The change in velocity in y direction, if the runner accelerates at 0.350 m/s² at 52° angle is 2.83 m/s.

Acceleration of an object is the rate of change in velocity. It is a vector quantity having both direction and magnitude.

a = Δv/t

The initial velocity u = 2.88 m/s

a = 0.350 m/s²

the time t = u/a = 2.88 /0.350 = 8.2 s.

vy = uy + ay t

uy = u sin θ = 2.88 sin 52 =2.84 m/s

ay = 0.350 sin 52 = 0.345 m/s²

then vy = 2.84 m/s + (0.345 m/s²) 8.22 s = 5.67 m/s

then change in velocity in the y-direction is calculated as:

Δy = vy - uy

    = 5.67 m/s  - 2.84 m/s = 2.83 m/s

Therefore, the change in velocity in y-direction Δy for the runner is 2.83 m/s.

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Answer:

20g

Explanation:

Given parameters:

Quantity of heat  = 240calories

Initial temperature  = 80°C

Final temperature  = 68°C

Unknown:

Mass of water = ?

Solution;

To solve this problem, we use the expression:

         Q  = m c (t₂  - t₁)

Q is the quantity of heat

m is the mass

c is the specific heat = 1 cal/g°C

t₂ is the final temperature

t₁ is the initial temperature

  Insert the parameters and solve;

  Change in temperature is an absolute value

          240 = m x 1 x (68 - 80)

           m  = 20g

Answer:

Start:

Higher energy of reactants -> Transition state

Finish:

Lower energy of reactants -> Higher energy of products

Explanation:

The two molecules that best complete the reactants' side of the equation\(CO_2\) + 2\(H_2O\) are \(O_2\) and CO.

The correct answer would be \(O_2\) and CO.

Based on the partial chemical equation provided, \(CO_2\) + 2\(H_2O\), we need to select two molecules that complete the reactants' side of the equation while also considering the conservation of mass. Let's evaluate the given options:

1. \(NaCl_3\): This compound, sodium trichloride, does not contain carbon (C) or oxygen (O) atoms, which are required to balance the equation. Therefore, \(NaCl_3\) is not a suitable choice.

2. \(HS_4\): This compound, hydrogen tetrasulfide, also does not contain carbon (C) or oxygen (O) atoms necessary to balance the equation. Hence, \(HS_4\) is not the correct choice.

3. \(CH_4\): This molecule, methane, consists of one carbon atom (C) and four hydrogen atoms (H). It contains carbon but lacks oxygen atoms required for balancing the equation. Thus, \(CH_4\) does not complete the reactants' side.

4. \(O_2\): Oxygen gas (diatomic oxygen) is represented by\(O_2\). It contains two oxygen atoms, which helps balance the equation since there are two oxygen atoms on the product side (2\(H_2O\)). \(O_2\) is a valid choice for completing the reactants' side.

Considering the conservation of mass, we still need a molecule that contains carbon. Among the given options, CO is the only molecule that consists of one carbon atom (C) and one oxygen atom (O). By adding CO to the reactants' side, we balance both carbon and oxygen atoms in the equation.

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Option b) is correct answer.  b)Force of friction is approximately 1N

Friction is that force which resists the relative motion of solid surfaces, fluid layers and material elements sliding against each other.

When only gravity is considered then the force on block is written as :

F= mgsin = ma

a= gsin

=g sin30

=9.8 *1/2

=4.9 m/s²

a= 5  m/s²

When friction considered is  4 m/s² that is given,

Then frictional force is in opposite direction

It is given as, F= mgsin - F

ma =mgsin- ma friction

4= 5 - a friction

afriction = 1 m/s²

Ffriction = 1N, hence option b is correct

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Answer:

C

Explanation:

Answer:

that car got obliterated almost like the day my uncle said come with me

Explanation:

the outcome was not good