A runner is jogging in a straight line at a
steady vr= 7.1 km/hr. When the runner is
L= 3.3 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 28.4 km/hr (4 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.

What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a “zero” length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.

A hair dryer provides about 10 ohms of resistance. When plugged into a typical outlet in Georgia, and then turned on, 1440 W is its power. Therefore, the correct option is option D.

The quantity of energy moved or transformed per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power inside the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power is correlated with other factors; for instance, the power required to move a land vehicle is indeed the sum of the traction force just on wheels and aerodynamic drag.

power = voltage²×resistance

           =(120)²× 10

           =1440 W

Therefore, the correct option is option D.

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Answer: Look, the main difference between men's and women's college basketball is the attention the programs and players get. The women's ball is slightly smaller than the men's ball. ... Men get a thirty-five-second shot clock, while women only get a thirty-second shot clock.

Answer:

Average Acceleration = 0 m/s²

Explanation:

The average acceleration between t = 2 sec to t = 8 sec is given as follows:

Average Acceleration = (Final Velocity - Initial Velocity)/Total Time

From Graph,

Total Time = 8 sec - 2 sec = 6 sec

At t = 2 sec

Initial Velocity = 3 m/2 s = 1.5 m/s

At t = 8 sec

Final velocity = 12 m/8 s = 1.5 m/s

Therefore,

Average Acceleration = (1.5 m/s - 1.5 m/s)/ 6 s

Average Acceleration = 0 m/s²

Answer:

A. Her funding was from a source that could profit from the results.

Explanation:

GOT IT RIGHT

Answer:

acceleration = - 150 m/s^2

distance = 9 miles.

Explanation:

initial speed, u = 60 mph

time, t = 12minutes = 0.2 hour

final speed, v = 30 mph

Let the acceleration is a and the distance is s.

By the first equation of motion

v = u + at

30 = 60 + a x 0.2

a = - 150 m/s^2

Let the distance is s.

Use third equation of motion is

\(v^2 = u^2 + 2 a s \\\\30^2 = 60^2 + 2 \times 150\times s\\\\s = 9 miles\)

Answer:

EQUAL

Explanation:

Energy entering the Earth needs to _____EQUAL_____________ the energy leaving the Earth.

Answer:

Equal

Explanation:

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F equals 3N with respect to the circle's center, moving in the same direction as the centripetal acceleration.

Centripetal force is the force that pushes an item in the direction of its center of curvature. It is fundamental to how a centrifuge operates.

An item travelling in a circle is pushed inward toward what is known as the center of rotation, which is essentially what a roller coaster accomplishes when it travels through a loop. The force that maintains an object moving along a curved route is this pull toward the center, or centripetal force.

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Answer:

Explanation:

2 ways to answer this:  speed is a scalar, velocity is a vector

Speed:  (3+6)/2 = 4.5 m/s

Velocity: (3-6)/2 = -1.5 m/s      define the positive direction as the one TO the marigold, negative direction is the one from the marigold back to the petunia

The Hayashi model is a theoretical model used to describe the temperature distribution and conditions in the protoplanetary disk. However, it does not provide explicit information about the gas-solid interaction regimes or the particle size boundaries.

To determine the particle radius on the boundaries between the different regimes, we need to consider the relevant laws and models related to gas-solid interactions.

Regime (1): Epstein Law

Regime (II): Stokes Law

Regime (III): Ideal Fluid

In the context of gas-solid interactions, these regimes represent different flow regimes based on the size of solid particles and the behavior of the gas surrounding them.

The Epstein Law (Regime 1) applies when the mean free path of gas molecules is greater than the particle radius, and individual gas molecules collide with the particle. In this regime, the gas behaves like individual particles.

Stokes Law (Regime II) applies when the particle size is large enough that gas molecules can no longer individually collide with the particle but instead adhere to its surface, causing a viscous drag. In this regime, the gas behaves like a viscous fluid.

The Ideal Fluid (Regime III) represents the limit where the particle size is large enough that the gas behaves like an ideal fluid, and the viscous drag becomes negligible.

To determine the particle radius on the boundaries between these regimes in the Hayashi model, more specific information about the model is needed. The Hayashi model is a theoretical model used to describe the temperature distribution and conditions in the protoplanetary disk. However, it does not provide explicit information about the gas-solid interaction regimes or the particle size boundaries.

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A well designed experimen tests multiple variables at once supports your hypothesis does not need multiple trials is controlled to only test one variable​ Given that a college language class was chosen for a learning experiment. Using a list of 50 words,

the experiment measured the rate of vocabulary memorization at different times during a continuous 6-hour study session. The average rate of learning for the entire class was inversely proportional to the time spent studying, and was given approximately by V(t) = t^(−13) for 1 ≤ t ≤ 6.

We need to find the area between the graph of V(t) and the f-axis over the interval [3, 5], and interpret the results. The area between the graph of V(t) and the f-axis over the interval [3, 5] can be found as follows:∫[3,5]V(t)dt = ∫[3,5]t^(−13)dt = [−12t^(−12)]3 5= −12(5^(−12)−3^(−12))≈ 0.54The area between the graph of V′(t) and the f-axis over the interval (3, 5) can be found as follows: V′(t) = −t^(−14) ∴ ∫(3,5)V′(t)dt = −(5^(−14)−3^(−14))≈ 0.104Thus

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Answer:

1875 J of energy is converted to heat.

Explanation:

Given that,

The combined mass of Andrea and the bike is 50 kg

Initial speed of Andrea's bicycle, u = 10 m/s

Final speed of Andrea's bicycle, v = 5 m/s

The energy converted to heat can be calculated using the work-energy theorem as follows :

\(E=\dfrac{1}{2}m(v^2-u^2)\\\\E=\dfrac{1}{2}\times 50\times ((5)^2-(10)^2)\\\\E=-1875\ J\)

So, 1875 J of energy is converted to heat.

The distance between the 2nd and 3rd dark fringes will be 0.09 cm.

In a double-slit interference pattern, the distance between the dark fringes can be determined using the following formula:

Y = (λ × L) / d

where:

Y is the distance between the dark fringes,

λ is the wavelength of the light,

L is the distance from the double slits to the viewing screen (also known as the slit-to-screen distance), and

d is the slit separation distance.

Given:

λ = 600 nm = 600 × 10⁻⁹m (since 1 nm = 10⁻⁹ m)

L = 1.50 m

d = 3.55 μm = 3.55 × 10⁻⁶ m (since 1 μm = 10⁻⁶m)

Plugging these values into the formula, we get:

Y = (600 × 10⁻⁹ m) ×(1.50 m) / (3.55 × 10⁻⁶m)

Simplifying, we get:

Y = 0.0009 m

To convert this to centimeters, we multiply by 100 (since 1 m = 100 cm):

Y = 0.0009 m× 100 cm/m = 0.09 cm

So, the distance between the 2nd and 3rd dark fringes is 0.09 cm.

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The electric potential due to a point charge of +2.00 μC at a distance of 0.500 cm is 3.6 x 10^4 V.

The electric potential due to a point charge can be calculated using the formula:

V = kq/r

where V is the electric potential, k is Coulomb's constant (9.0 x 10^9 Nm^2/C^2), q is the charge, and r is the distance from the point charge.

Substituting the given values, we have:

V = (9.0 x 10^9 Nm^2/C^2) x (2.00 μC) / (0.500 cm)

= 3.6 x 10^4 V

If the charge has a value of -2.00 μC, the sign of the potential will be negative, indicating that the potential energy of a positive test charge would decrease as it moves away from the point charge. The magnitude of the potential will be the same, since it depends only on the absolute value of the charge, not its sign.

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The dielectric constant of the material that should be used to fill the gap in the air capacitor is approximately 2.231.

We are given that;The capacitance of the air-filled capacitor (C1) = 10 p

FThe energy stored by the new capacitor(C2) = 6.2 µJ

The maximum potential difference(V) = 570 V

To determine the dielectric constant of the material that should be used to fill the gap in the air capacitor, we can use the formula;

Energy stored in a capacitor E = 1/2CV²Where,E = energy stored by capacitor

C = capacitanceV = potential difference

For the first capacitor E1 = 1/2 C1 V²

For the second capacitor E2 = 1/2 C2 V²We can rewrite the formula above as;

C = 2E/V²We want to find the capacitance of the second capacitorC2 = 2E2/V² = 2(6.2×10⁻⁶)/570²C2 = 2.391×10⁻¹⁴ FThe capacitance of the second capacitor (C2) is known, and we can find the dielectric constant of the material required by using the formula;C = (Kε₀A)/dWhere,C = capacitanceK = dielectric constantε₀ = permittivity of free space.A = area of the platesd = distance between the platesWe can rearrange the formula above to obtain the value of the dielectric constant;K = Cd/(ε₀A)K = (C2d)/(ε₀A)

From the formula, we know the value of C2, and we can find the value of d and A.We know that the capacitance of a parallel plate capacitor is given as;C = ε₀(K)A/d

We can rearrange the formula to obtain the value of d;d = ε₀KA/CC = ε₀(K)A/d2.391×10⁻¹⁴ F = (8.85×10⁻¹² F/m)(K)(A)/(d)We know the area of the plates of the capacitor and the capacitance, and we can find the value of d;

The area of the plates A = πr² = π(0.0025)² = 1.96×10⁻⁵ m²d = (8.85×10⁻¹² F/m)(K)(1.96×10⁻⁵ m²)/(2.391×10⁻¹⁴ F)d = 7.2186×10⁻⁵ m

We can now find the value of the dielectric constant using the formula;K = Cd/(ε₀A)K = (2.391×10⁻¹⁴ F)(7.2186×10⁻⁵ m)/[8.85×10⁻¹² F/m)(1.96×10⁻⁵ m²)]K = 2.231 (approx)

Therefore, the dielectric constant of the material that should be used to fill the gap in the air capacitor is approximately 2.231. .

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The Curved Surface Area (CSA) of the half cylinder is (π x r x h) = (π x 14 x 30) = 1,260 sq cm and the Total Surface Area (TSA) is (2 x CSA) + (2 x π x r^2) = (2 x 1260) + (2 x π x 14^2) = 2520 + 615.44 = 3135.44 sq cm.

The TSA of a half cylinder is calculated by adding the area of the circular base and the curved surface together. The formula for the TSA is πr^2 + 2πrh where r is the radius and h is the height of the half cylinder. To find the TSA, you first calculate the area of the circular base by multiplying π by the radius squared. Then you calculate the area of the curved surface by multiplying π by the radius by the height. Finally, you add the two values together to get the TSA.

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Answer:

Force = 7N

Explanation:

Force = Mass x Acceleration = 2 x 3.5 = 7N

The time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.

If the car's velocity were doubled, the time it takes for the car to fall would not be affected by the time it takes for the ball to fall. This is because the time taken for an object to fall from a certain height is determined by the acceleration due to gravity and the distance from the ground, but not by the object's initial velocity.

The acceleration due to gravity is constant, which means that the time taken for an object to fall a certain distance is also constant. This means that the time taken for the ball to fall and the car to fall from the same height would be the same, regardless of the car's velocity.

This can be explained by the equation of motion for a falling object:

d = 1/2gt²,

where d is the distance from the ground, g is the acceleration due to gravity, and t is the time taken to fall.

Since the acceleration due to gravity is constant, the time taken for the car and the ball to fall the same distance would be the same, regardless of their initial velocity.

Therefore, if the car's velocity were doubled, the time it takes for the car to fall would be the same as before, but it would be moving faster when it hits the ground.

In conclusion, the time it takes for the car to fall from a certain height would not be affected by the time it takes for the ball to fall, even if the car's velocity were doubled.

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Answer:

B

explanation:

The car is not making a change in speed.

Speed:-

\(\\ \rm\rightarrowtail Speed=\dfrac{45}{9}=5m/s\)

Momentum:-

\(\\ \rm\rightarrowtail 45(5)\)

\(\\ \rm\rightarrowtail 225kgm/s\)

Answer:

A. It pulls objects towards the center of Earth.

Explanation:

Think about dropping something, where does it go? If you are on earth, this goes down towards the ground due to the attractive force of gravity on every object (to pull everything to center of earth). Like Newton's apple.

Answer:

the force of gravity between them is quadrupled .

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces.

Given Data: Mass of bowling ball, m₁ = 6.75 kg, Velocity of bowling ball, u₁ = 8.5 m/s, Mass of bowling pin  m₂ = 0.925 kg, Velocity of bowling pin, u₂ = 11.4 m/s. Therefore, the direction of the final velocity of the bowling ball is 9.52°.Hence, the required answer is option (b) 9.52°.

Angle between u₁ and u₂, θ = 22°

Direction of final velocity of bowling ball, Φ = ?

The momentum before the collision is equal to the momentum after the collision.

(m₁.u₁) + (m₂.u₂) = (m₁.v₁) + (m₂.v₂)

Where, v₁ = final velocity of the bowling ball, v₂ = final velocity of the bowling pin.

The momentum of the bowling ball in the vertical direction before the collision is zero.

So, momentum after the collision is also zero.

(m₁.u₁)sin(90°) = (m₁.v₁)sin(Φ) + (m₂.v₂)sin(θ)

∴ v₁ = [- (m₂.u₂)sin(θ) + (m₁.u₁)sin(90°)] / (m₁ sin Φ)

Since there is no external force acting on the system, the kinetic energy is conserved.

Kinetic energy before the collision is equal to the kinetic energy after the collision.

0.5m₁u₁² + 0.5m₂u₂² = 0.5m₁v₁² + 0.5m₂v₂²

Solving this equation gives the value of v₂ as

v₂ = √[ (m₁u₁² + m₂u₂² - 2m₁u₁v₁) / m₂ ]

Putting the given values in the equations, we get

v₁ = 5.81 m/sv₂ = 17.27 m/s

Direction of the final velocity of the bowling ball,

Φ = sin⁻¹ [ (m₂.u₂) cos(θ) / (m₁.u₁) - m₂ sin(θ) / (m₁ sin Φ) ]

The value of Φ comes out to be 9.52° (approx).

Note: When solving this question, it is important to remember that the final velocity of the bowling ball and bowling pin both have two components: horizontal and vertical. And both the momentum and the kinetic energy have to be conserved in both components.

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Answer:

A. it is Electromagnet

B. there are 2 ways to increase the magnetic field in this situation.

hence only by doing first way ( increase number of turns) magnetic field can be increased.

Slice thickness artifact commonly expresses itself as: d. strong linear echoes .

When slice thickness artifact occurs, it commonly expresses itself as strong linear echoes on the ultrasound image. This is because the ultrasound beam is not able to accurately focus on the entire thickness of the structure being imaged, resulting in multiple echoes being received from the different layers within the structure. These echoes can appear as strong, parallel lines on the image and can lead to misinterpretation of the anatomy being imaged.

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Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components. As there are no other forces acting in the horizontal, we know the horizontal component of F1 is 40N.

Dynamic equilibrium is a state in which bodies are moving at a constant speed as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces exerted on them in both situations is zero.

When two forces are acting on an object that is in static equilibrium, it indicates that their sum is zero, which makes static equilibrium a useful analytical tool. You may create an equation to figure out the direction and strength of the unknown force if you know the direction and strength of one of the forces.

Thus, Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components.

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Answer:

geocentric- The geocentric model is an Earth-centered model that was first summarized by Ptolemy. In the model the Earth is motionless at the center of Universe.

 X-ray binaries are similar to another type of system, and that system is a progenitor of type Ia supernovae.

Type Ia supernovae is a type of supernova that occurs in binary systems (two stars orbiting one another) in which one of the stars is a white dwarf. The other star can be anything from a giant star to a smaller white dwarf. Beyond this "critical mass", they reignite and, in some cases, trigger a supernova explosion.

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The acceleration of the racing car is 5 m/s^2 if a 900 kg racing car accelerates from rest at a constant rate and covers a distance of 1125 m in 15 s.

We can use the kinematic equation:

d = 1/2 at^2 + v0t

where d is the distance traveled, a is the acceleration, t is the time elapsed, and v0 is the initial velocity (which is zero as the car accelerates from rest).

Plugging in the given values, we get:

1125 m = 1/2 a (15 s)^2

Solving for a, we get:

a = 2d/t^2 = 2 * 1125m / (15s)^2

a = 5 m/s^2

Therefore, the acceleration of the racing car is 5 m/s^2.

The racing car's acceleration is 5 m/s^2 when it covers a distance of 1125 m in 15 s. This calculation demonstrates the use of kinematic equations to determine acceleration based on known values of distance, time, and initial velocity.

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Cantilever beam capacitance at time t, expressed as C= U's rate of change is therefore inversely proportional to x 2.

Date Updated: 27 June 2022. (00 : 00) Solution: A capacitor's capacitance is determined by dividing the amount of charge on either of its conductor plates by the potential difference between its conductors.

QpropV or C=(Q)/(V). The coulomb per volt and farad is the SI unit for capacitance (F).

The fundamental equation for capacitors is charge (= capacitance x voltage, or Q = C x V. We gauge capacitance by series or in parallel, which is the capacity that holds one coulomb (specified as the charge delivered by one ampere inside one minute) of charge per one farad.

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