an object of mass m hangs from a string that is looped around a pulley of negligible friction, as shown. the pulley has a mass 0.5m. the object is released from rest and it falls to the floor at time t1. which of the following pairs of graphs best represents the angular speed as a function of time for the pulley and the vertical speed as a function of time for the falling object for a short time after it is released from rest?

The moving particles in a gas collide with each other and also with the walls of the container and as the collision increases, gases exert more pressure on the walls of the container.

Kinetic theory of matter states that “Matter is made up of those substances or particles which are constantly moving.” The energy level of the particles depends upon the temperature possessed by the matter. This helps us to determine whether that matter is in a solid, liquid, or gas state.

Thus, using the particle model of matter, we can how a gas exerts pressure on the surfaces of its container, and this occurs when the gas particles collides with one another. This collision of gas particles exert pressure on the surface of the container.

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Answer:

F=ma

F=m{(v-u)/t}

time=32 sec

Explanation:

the absolute value of the induced potential difference in volts in the single wire loop is 6.16 x \(10^3\) V.

The induced potential difference in volts in the single wire loop can be calculated using Faraday's law of electromagnetic induction which states that the magnitude of the induced electromotive force (EMF) in a closed circuit is equal to the rate of change of magnetic flux through the circuit.

The maximum possible value of magnetic flux through the wire loop occurs when the plane of the loop is perpendicular to the magnetic field lines. The magnetic flux through a single loop of area A inside a solenoid with N turns per unit length and carrying a current I is given by:

Φ = NIA

where I is the current in the solenoid, A is the area of the loop, and N is the number of turns per unit length.

The rate of change of magnetic flux through the wire loop is given by:

dΦ/dt = -NAdI/dt

where dI/dt is the rate of change of current in the solenoid.

The induced EMF in the wire loop is given by:

EMF = -dΦ/dt

Substituting the values given in the problem statement, we get:

EMF = -NAdI/dt = -(614 loops/m)(0.250 \(m^2\))(29.1 A)/(0.730 s) = -6.16 x \(10^3\) V

Since we are asked to find the absolute value of EMF, we take its magnitude which gives:

|EMF| = 6.16 x \(10^3\) V

Therefore, the absolute value of the induced potential difference in volts in the single wire loop is 6.16 x \(10^3\) V.

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The bullet takes 0.0025 seconds to pass through the wooden plank of 5 cm thickness when it is traveling horizontally with an initial speed of 30 m/s and a final speed of 10 m/s.

The time taken by the bullet to pass through the wooden plank can be determined using the equation of motion for constant acceleration.

Given:
Initial speed (u) = 30 m/s

Final speed (v) = 10 m/s

Distance (s) = 5 cm = 0.05 m

To find the time taken (t), we need to calculate the acceleration (a) first. We can use the equation:

v² = u² + 2as

Rearranging the equation, we have:

a = (v² - u²) / (2s)

Substituting the given values:

a = (10² - 30²) / (2 * 0.05)

Simplifying the expression:

a = (-800) / (0.1)

a = -8000 m/s²

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Next, we can use the equation of motion:

v = u + at

Substituting the values:

10 = 30 + (-8000) * t

Simplifying the equation:

-8000t = -20

Dividing by -8000:

t = 20 / 8000
t = 0.0025 s

Therefore, the time taken by the bullet to pass through the wooden plank of 5 cm thickness is 0.0025 seconds.


To find the time taken by the bullet to pass through the wooden plank, we need to calculate the acceleration first using the equation of motion.

By rearranging the equation and substituting the given values, we can find the acceleration.

Then, using the equation of motion again, we can solve for time.

The negative sign in the acceleration indicates that it is in the opposite direction of the initial velocity.

The resulting time is 0.0025 seconds.

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The measured specific heat will be less than the actual specific heat if a lower value is gotten than the actual mass.

This is defined as the quantity of heat needed to raise a substance's temperature by 1 degree Celsius.

If a substance has a low specific heat capacity , it loses water easily which makes the mass when measured to be smaller than the actual value.

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Answer:

p = 4000 kg-m/s

Explanation:

Given that,

The mass of a truck, m = 200 kg

Speed of the truck, v = 20 m/s

We need to find the momentum of the truck. The formula for momentum is given by :

p = mv

so,

\(p=200\times 20\\\\p=4000\ kg-m/s\)

So, the momentum of the truck is equal to 4000 kg-m/s.

Answer:

c

Explanation:

every other option is a conductor

There are always new questions to answer and new problems to solve in this area. The correct option is D.

It is a necessary skill for supervisors and other senior positions. Individuals who have excellent problem-solving skills are a precious and considered reliable attribute in any team.

They are the ones who come up with new ideas, better ways of operating, make things easier to understand, or help customers save time and money.

Before attempting to solve a problem, ascertain whether it is truly a problem. In addition to you, but additionally to those who are affected.

In this line of work, there are always fresh questions to answer and problems to solve.

Thus, the correct option is D.

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The power output by the person is 418.5 W and they burned approximately 32.2 calories during this activity.

Power is the rate at which work is done, which is given by the formula P = W/t, where P is power, W is work, and t is time. In this case, the work done is the force applied multiplied by the distance covered, which is 66 N x 23 m = 1518 J. The time taken is 40 seconds. Thus, the power output is P = 1518 J / 40 s = 37.95 W.

However, since the person consumed 850 calories, which is equivalent to 3,556,400 J, and assuming that approximately 20% of this energy is used for work done, the person burned 0.2 x 3,556,400 J = 711,280 J during this activity, which is equivalent to 32.2 calories. Therefore, the power output by the person is 418.5 W and they burned approximately 32.2 calories during this activity.

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Answer:

the angular speed of the stone at the moment of release is 15.05 rad/s

Explanation:

Given the data in the question;

The point of release ( height ) h = 25.6 m

the time of the fall of the stone will be;

⇒√( 2h/g )

we know that g = 9.81 m/s

so we substitute

t = √( (2 × 25.6 m) / 9.81 m/s )

t = √( 51.2 / 9.81 m/s )

t = √( 5.219164 s )

t = 2.285 s

Now, let v represent velocity at the time of release

them v × t ~ v × 2.285 s is the horizontal distance traveled.

Given that; The horizontal distance of point X from the base of the cliff (directly beneath the point of release) is 34.4 times the radius of the circle.

so

v × 2.285 = 34.4 × radius

Now, if the angular speed is ω then velocity at the time of release will be;

v = radius × ω

hence;

(radius × ω)  × 2.285 = 34.4 × radius

radius cancels each other out and we have;

ω  × 2.285 = 34.4

ω = 34.4 / 2.285

ω = 15.05 rad/s

Therefore, the angular speed of the stone at the moment of release is 15.05 rad/s

Answer:

v = -\frac{n \ m}{M} \ v'

for the man to return to the ship he must throw the balls in the opposite direction of the ship

Explanation:

For this exercise we can use the conservation of momentum. Let's form a system made up of man and baseballs.

Initial instant. Before throwing the balls

     p₀ = 0

Final moment. After throwing the balls

     \(p_{f}\) = M v + n m v '

where M is the mass of the man, m is the mass of each ball and n is the number of balls , v isthe speed man and v' is the speed ball

Since the forces are internal, the momentum of the system is conserved

     p₀ = p_{f}

      0 = M v + n m v ’

      \(v =- \frac{n \ m}{M} \ v'\)

If we analyze this expression, for the man to return to the ship he must throw the balls in the opposite direction of the ship

From the principle of the conservation of energy, the velocity of the moving skater would be transferred to the stationary skater.

We know that according to the principle of the conservation of energy, energy can neither be created nor destroyed but we can be able to convert the energy from one form to the other. Given the fact that the energy of the object can be converted, we can also look at the collision as being an inelastic Collison.

Let us recall that a collsion is said to be in elastic if the momemtum and thge kinetic energy of the colliding particles is not conserved. The simple implication of this is that the objects would stick together and then move at a common velocity after the collision must have taken place in the system.

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Answer:

circuit b will have the higher current than circuit a

The speed of water at the end of spillway is 58.5 (m/s)

Calculation:

According to the Bernoulli equation:

P/x + v^2/2 + gz = constant

The initial vertical height of 175 m

However, the atmospheric pressure and density are essentially the same at the peak and bottom of the falls. Therefore,

v^2/2 + gz = constant , so:

v_bottom^2/ 2 = v_top^2/2 + gz, or:

v_bottom = √(v_top^2 + 2gz) = √(v_top^2 + 2g*175)

If v_top ≈ 0, then:

v_bottom = √(2gz) = √(2*9.8*175) = 58.5  (m/s)

What is the flow rate of water?

The amount of water that might theoretically flow out of your kitchen faucet or bathtub each minute is measured by your water flow rate, sometimes referred to as the gallons per minute (GPM). the flow rate is affected by a number of variables, but the household size is the most important one.

Therefore,  the highest possible speed of the water at the end of the spillway is 58.5m/s

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The estimated energy of a particle in the ground state of a square well with length L and infinitely high walls is approximately (ħ²)/(2mL²), where ħ is the reduced Planck's constant and m is the mass of the particle.

To estimate the energy of a particle in the ground state of a square well with length L and infinitely high walls, we can use the relationship between energy and momentum.

The average squared momentum of the particle, denoted as (P²), is related to the uncertainty in momentum (Δp) by the equation:

(P²) ≈ (Δp)²

The uncertainty in momentum can be approximated using the uncertainty principle as:

Δp ≈ ħ/Δx

where ħ is the reduced Planck's constant (h/2π) and Δx is the uncertainty in position.

Given that the uncertainty in position is Δ ≈ L, we can substitute this into the equation:

Δp ≈ ħ/L

The average squared momentum becomes:

(P²) ≈ (ħ/L)²

The energy of the particle in the ground state can be related to its momentum by the equation:

E = (P²)/(2m)

where m is the mass of the particle.

Substituting the expression for (P²), we have:

E ≈ [(ħ/L)²]/(2m)

Simplifying:

E ≈ (ħ²)/(2mL²)

Therefore, the estimated energy of the particle in the ground state of the square well is approximately (ħ²)/(2mL²).

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Answer:

your sister

Explanation:

a woman or girl in relation to other daughters and sons of her parents.

To determine the acceleration of collar d, we need to first calculate the angular acceleration of arm ab. Since the angular velocity of arm ab is constant, its angular acceleration is zero. Therefore, the acceleration of collar d is 256r m/s².

Next, we need to find the velocity of collar d. Since collar d is attached to arm ab, it has the same angular velocity as arm ab. At the instant when = 60, the angular velocity of arm ab is 16 rad/s counterclockwise.
To convert this angular velocity to linear velocity at collar d, we need to multiply it by the radius of arm ab. Let's assume that the radius of arm ab is r meters. Then, the linear velocity of collar d is:
v = r × ω = r × 16 rad/s = 16r m/s
Now we can calculate the acceleration of collar d using the formula:
a = v²/r
where v is the linear velocity and r is the radius of the circular motion.
Substituting the values, we get:
a = (16r)²/r = 256r m/s²
Therefore, the acceleration of collar d is 256r m/s².

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Answer:

Number 6:

• From the formula of force:

\(force = mass \times acceleration \\ { \boxed{f = ma}}\)

• But we need to get the acceleration, from the first newtons equation of motion

\(v = u + at\)

• v is the final velocity, but v is zero because the bullet came to rest.

• u is the initial velocity, u = 350 m/s

• a is the acceleration that we need

• t is the time, t = 0.0018 seconds.

» let's now substitute:

\(0 = 350 + (a \times 0.0018) \\ 0.0018a = - 350 \\a = - 194444.44 \\ { \underline{ \: \: |a| = 194444.44 \: m {s}^{ - 2} }}\)

[ negative shows retârdation or deceleration or decrease in speed ]

• Therefore, let's find the force:

mass = 6g = (6/1000) kg = 0.006 kg

\(force = m \times |a| \\ f = 0.006 \times 194444.44 \\ { \underline{ \underline{ \: \: force = 1166.67 \: \: { \sf{newtons \: \: }}}}}\)

Answer:

Explanation:

An object begins from rest and accelerates at a rate of 2.5 meters ... at a rate of +1.6 meters per second' while traveling +5.0 ... Calculate the block's rate of acceleration. 4. Vf² V, ²+2 ad. (12 m/s)?-(Omis) + 2(a)(50m) ... represents the motion of a car during a 6.0 second time interval. ... A cat moves 15 meters east in 5 seconds.

It would only operate in C. In A and D, closing the switch would introduce a pathway of zero resistance.

In which circuit below would the lamp operate correctly when switch S is closed?

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The capacitance of a parallel plate capacitor is 4.8 μF when charged with a potential difference of 1.25 V and a charge of 6.0 μC. In this calculation, the units are consistent.

The capacitance of a parallel plate capacitor can be calculated using the formula C = Q/V, where C is the capacitance, Q is the charge, and V is the potential difference. In this case, the charge is given as 6.0 μC and the potential difference is 1.25 V.

Substituting the given values into the formula, we have C = (6.0 μC) / (1.25 V). To simplify the units, we convert microcoulombs to coulombs by dividing by 10⁶, which gives C = (6.0 × 10⁻⁶ C) / (1.25 V).

Evaluating the expression, we find C = 4.8 × 10⁻⁶ F. Therefore, the capacitance of the parallel plate capacitor is 4.8 microfarads.

It is important to note that in this calculation, the units are consistent. The charge is in coulombs, the potential difference is in volts, and the capacitance is in farads.

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There are several pieces of evidence that a convergent boundary once existed. Here are some examples:

Mountain belts: When two tectonic plates converge, they push against each other, which can cause the formation of mountain ranges. The presence of mountain belts, such as the Appalachian Mountains in North America or the Alps in Europe, is evidence that two plates once converged in that area.

Volcanic arcs: When two plates converge and one of them is an oceanic plate, subduction can occur. This can cause magma to rise to the surface and form a volcanic arc, such as the Ring of Fire in the Pacific Ocean. The presence of a volcanic arc is evidence that two plates once converged in that area.

Fossils: When two continents converge, the animals and plants living on those continents can become mixed together. This can lead to the formation of unique fossils that are found only in that area. The presence of these unique fossils is evidence that two continents once converged in that area.

Rocks: When two plates converge, the rocks in the area can become deformed and folded. The presence of folded rocks, such as those found in the Appalachian Mountains, is evidence that two plates once converged in that area.

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The length of the board of wood expressed in meters is 0.616 m.

To convert 61.6 cm to meters, we can use the formula:

Length in meters = Length in centimeters ÷ 100

Plugging in the given value, we get:

Length in meters = 61.6 cm ÷ 100 = 0.616 m

Wood is a natural composite material made of cellulose fibers, lignin, and hemicelluloses, which are held together by a complex network of bonds. The cellulose fibers provide strength and rigidity, while the lignin acts as a binder, holding the fibers together. The hemicelluloses are responsible for the elasticity and flexibility of the material.

Wood has many interesting physical properties that make it a valuable material in a wide range of applications. For example, it is a good insulator, making it useful for construction and electrical applications. It is also a good acoustic absorber, making it useful in musical instruments and recording studios.

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Complete Question:

A board of wood measures 61.6 cm as that length is expressed in meters

The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.

The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:

RC = τ, where R is the resistance and C is the capacitance of the circuit.

Rearranging the above formula, we get:R = τ / C

Where τ is the time constant and C is the capacitance of the circuit.

From the figure, the capacitance is given as 0.1 μF

.Substituting the values of τ and C in the above formula, we get:

R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)

R = 220 Ω

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Answer:

there are no provision to head it

Explanation:

because there are no oxygen

The thrust-required, converted to power-required, when analyzing the performance of a propeller-driven aircraft is because propeller's thrust is always directed toward the center of rotation.

When you look at the total power required by a propeller aircraft and the total power that can be used by the engine, you'll see that there's an imbalance between the two. This means that more power will be needed than is available.

To solve this problem, engineers must design their propeller aircraft so that it produces enough thrust for takeoff but not so much thrust as to exceed the engine's ability to use all of its available power.

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The biggest advantage of using the trigonometric parallax method at a telescope on Pluto would be the ability to accurately measure the distances to nearby stars.

The trigonometric parallax method involves measuring the apparent shift in position of a star against the background of more distant stars as the observer's position changes due to the Earth's motion around the Sun.

By measuring this apparent shift in position, astronomers can determine the angle between the direction of the star and the direction of the Sun, known as the parallax angle. Using basic trigonometry, the distance to the star can then be calculated.

The trigonometric parallax method is most effective for measuring distances to stars that are relatively close to the Sun, as the parallax angle decreases rapidly with distance.

Therefore, using this method from a telescope on Pluto, which is over 5 billion kilometers away from the Sun, would allow for extremely accurate measurements of the distances to nearby stars that are otherwise difficult to measure accurately.

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Answer:

The answer is 20 miles/hr

Explanation: