bats use echolocation to navigate. they can emit ultrasonic waves with frequencies as high as 1.0×10^5 hz. What is the wavelength of such a wave? The speed of sound in air is 340 m/s.

A girl rides her cycle round a circular track of diameter 60 m. The track is banked at 15° to the horizontal. The coefficient of friction between the track and the tyres of the cycle is 0.25. Modelling the girl and her cycle as a particle of mass 60 kg moving in a horizontal circle, the minimum speed at which she can travel without slipping is 13.64 m/s.

To find the minimum speed at which the girl can travel without slipping, we need to consider the forces acting on her and her cycle as they move in a circular track.

The forces acting on the girl and her cycle are the gravitational force (mg), the normal force (N), and the frictional force (f). The frictional force provides the centripetal force necessary to keep the girl moving in a circular path.

The normal force can be resolved into two components: the vertical component (N⊥) and the horizontal component (N∥). The vertical component balances the gravitational force, while the horizontal component provides the centripetal force.

Mass of the girl and cycle (m) = 60 kg

Diameter of the circular track (d) = 60 m

Bank angle (θ) = 15 degrees

Coefficient of friction (μ) = 0.25

Find the normal force components:

N⊥ = mg cos(θ)

N∥ = mg sin(θ)

The frictional force:

f = μN⊥

The frictional force (f) provides the centripetal force required for circular motion:

f = m(v² / r)

Here, v is the velocity and r is the radius of the circular track. The radius is:

r = d / 2

Combining the equations, we have:

μN⊥ = m(v² / r)

Substituting the values we have:

μmg cos(θ) = m(v² / (d / 2))

v² = (μmg cos(θ) / m) * (d / 2)

v² = (μg cos(θ)) * (d / 2)

v = √((μg cos(θ)) * (d / 2))

v = √((0.25 * 9.8 * cos(15)) * (60 / 2))

v ≈ 13.64 m/s

Therefore, the minimum speed at which the girl can travel without slipping is approximately 13.64 m/s.

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Answer:

3

Explanation:

The people waiting on the station platform hear a frequency of approximately 369.7 Hz.

The observed frequency of a sound wave changes based on the relative motion between the source of the sound and the observer. This effect is known as the Doppler effect. In this scenario, the train is approaching the station, so the observer (the passenger on the train) is moving towards the source of the sound (the bell ringing in the station).

To calculate the frequency heard by the passenger on the train, we can use the Doppler effect equation for sound:

f' = (v + vo) / (v + vs) * f

where f' is the observed frequency, v is the speed of sound, vo is the velocity of the observer, vs is the velocity of the source, and f is the actual frequency of the source.

Given that the passenger hears the bell at a frequency of 356 Hz, and the speed of sound is 343 m/s, we can rearrange the equation to solve for vs (the velocity of the source, which is the train):

vs = (f / f' - 1) * v - vo

Plugging in the values, we have:

vs = (343 / 356 - 1) * 343 - 29

vs ≈ -9.26 m/s

Since the velocity of the source (the train) is negative, it means the train is moving towards the observer on the platform. Now, to find the frequency heard by the people waiting on the station platform, we use the same Doppler effect equation but with the opposite signs for vo and vs:

f' = (v - vo) / (v - vs) * f

Plugging in the values, we have:

f' = (343 - 0) / (343 - (-9.26)) * 356

f' ≈ 369.7 Hz

Therefore, the people waiting on the station platform hear a frequency of approximately 369.7 Hz.

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Answer:

Hence from liquid to solid or solid to liquid the transition has to cross the grey zone. This grey zone transition is is very crucial which includes the intermolecular forces acting on the molecules and each atoms which makes the change in state from hot to cold and cold to hot.

Explanation:

To read text at a near-point distance of 22 cm, a person who has had cataract surgery would need a corrective lens with a refractive power of +4.5 diopters.

If a person has had the surgical removal of the variable lens of the eye, they would have lost the ability to accommodate (change the shape of the lens to focus on objects at different distances). Therefore, they would require corrective lenses to see clearly at different distances.

To determine the power of the corrective lenses required to read text at a near-point distance of 22 cm, we can use the following formula:

\(1/f = 1/d_o + 1/d_i\)

where:

f = focal length of the corrective lens

\(d_o\) = object distance (distance from the eye to the object)

\(d_i\)= image distance (distance from the eye to the image formed by the corrective lens)

We want to find the power of the corrective lens, which is given by:

\(P=1/f\)

The near-point distance \((d_o)\)  is 22 cm = 0.22 m. Since the cornea's refractive power focuses objects at infinite distances onto the retina, we can assume that the object distance is effectively at infinity, i.e., \(d_o = \infty\)

Therefore, the formula becomes:

\(1/f = 1/\infty + 1/d_i\)

\(1/f = 0 + 1/d_i\)

\(f = d_i\)

We want to find the focal length \((d_i)\)  of the corrective lens required to form an image of the text at a distance of 22 cm from the eye.

Using the formula, we get:

\(f = d_i = \frac{1}{(1/d_o + 1/d_i)}\)

\(d_i = \frac{1}{(1/d_o + 1/f)}\)

\(d_i = \frac{1}{(1/0.22 + 1/\infty)}\)

\(d_i = 0.22 m\)

Now, we can calculate the power of the corrective lens required as follows:

\(P = 1/f\)

\(P = 1/0.22\)

\(P = +4.5\)  diopters (to the nearest tenth of a diopter)

Therefore, the power of the corrective lenses required to read text at a near-point distance of 22 cm is +4.5 diopters (convex lenses).

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The four methods of acquiring knowledge are observation, experience, reasoning, and education.

Observation involves gathering information through the senses and paying attention to what is happening in the environment. Experience involves learning through personal encounters, such as practical work or life events. Reasoning involves using logic and critical thinking to draw conclusions and make decisions.

Education involves acquiring knowledge through formal instruction and learning, such as in a school setting or through reading and studying. All four methods are important and can be used in combination to acquire a deep and well-rounded understanding of a subject.

Observation and experience provide hands-on and practical knowledge, while reasoning and education provide theoretical and abstract knowledge. By using a combination of these methods, individuals can broaden their understanding and knowledge of the world around them.

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Answer:

Too what i know its because of the air

Explanation:

The steel rod is more dense and doesnt have air whil'st the oil tanker is less dense with lots of air

Looking at the graph and its missing parts, we can identify the following items to fill each box:

A. Population Size.

Since the population size is a dependent variable in relation to time, we should use it in the vertical axis.

B. Slow growth when population is small.

In the first part of the graph, the population is small and also grows slowly.

C. Faster and faster growth as population becomes larger.

In the final part of the graph, the population is big and also grows fast.

D. Time

Since the time usually is an independent variable, we should use it on the horizontal axis.

Answer:

His average speed is 1.5 meters per second.

Explanation:

Given:

Distance = 90 meters

Time = 1 minute = 60 seconds

equation...

Average Speed = Total Distance / Total Time

so...

Average Speed = 90 meters / 60 seconds

then the answer would be...

Average Speed = 1.5 meters per second

Answer:

It keeps them in place because they are being pulled towards the sun and are also moving fast enough to go around it

Explanation:

Answer:

from second equation of motion

\(S = ut + \frac{1}{2} a {t}^{2} \\ S = (50 \times 20) + (\frac{1}{2} \times 3 \times {20}^{2} ) \\ S = 1000 + 600 \\ S = 1600 \: m\)

1.1×10^8 m^2 is the required surface area of each plate. is this plate size realistic.

The formula C=Ad C = A d, where C is the value of the capacitance, A is the area of each plate, d is the distance between the plates, and is the permittivity of the material between the plates of the parallel capacitor, gives the capacitance for parallel plate capacitors (dependent on its geometry).

C=εoA /d

∴A= Cd / εo

=(1)(10)^-3  /8.86×10 ^(−12)

=1.1×10^8 m^2

hence the surface area of each plate 1.1×10^8 m^2.

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4. If the moon falls, it does not get closer to earth due to the effect of gravity.

5. On increasing the mass of the sun then the earth's tangential velocity also increases.

4)Similar to how the earth orbits the moon, but because of the speed at which it caught up to the earth, the moon is prevented from colliding with the planet by the force of gravity.

Because of this, even though the moon is edging a tiny bit farther from our planet, it is kept in a pretentious orbit around it.

5) the earth tangential velocity increases if the mass of the sun increased.

It is the linear component of any object's speed that is travelling in a circle.

4. If the moon falls, it does not get closer to earth due to the effect of gravity.

5. On increasing the mass of the sun then the earth's tangential velocity also increases.

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Answer:

OA

Explanation:

The marked part x is inside the circle hence, the direction will be same in all points. Therefore, the correct label is x includes a magnitude.

There are two types of physical quantities namely, scalar and vector quantities. Scalar quantities or variables are those which are having magnitude only and not depends upon the direction.

Temperature, volume, refractive index, energy  etc. are scalar quantities. Vector quantities are those having both magnitude and direction. Force, acceleration, velocity, work done etc. are vector quantities which depends on the direction.

The marked area x is a point inside a circle. Therefore its path of motion or change is circular and thus does not affects its magnitude. Thus it have no directional change and has a magnitude.

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Mass of cyclist = 100 kg

Mass of gorilla = 50 kg

Initial speed = 4.5 m/s

Let Final speed = s

100 x 4.5 = (100 + 50) x s

450 = 150s

S = 450/150

S = 3

The new speed is 3m/s

Conservation of momentum

Pix = Pfx

m1= Archer's mass = 102.3 kg

v1 = Archer's velocity =

m2 = arrow's mass = 99g = 0.099 kg

v2f= arrow's velocity = 104.2 m/s

0= m1 v1 + m2 v2

V1= -( m2/m1) v2

V1 = - (0.099 kg /102.3 kg) *104.2 m/s

V1= - 0.1008 m/s

Answer:

sorry dont know it is confusing.

Answer:

- 5 N

Explanation:

The bet force is the sum of the all forces are acting on the object and you can see three forces are acting on the box but 2 of them are cancel each other because they have same magnitude but different direction which they are F norm and F grav so if we sum we will have

Fnorm - Fgrav - Ffrict

and the ( -) sign reffers to the lift direction or downward

So you can say the bet force is - 5 N

When an engineering team reaches the stage of iterating to improve the solution in the engineering design process, there are various activities that the team might be doing. One of the most crucial activities at this stage of the design process is testing. Here are a few things that an engineering team might do to test and improve the solution:

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Kinetic energy and velocity are at zero when the magnets are held apart, and both increase rapidly when they are released and move together. Energy stored in the magnetic field decreases.

Graph for the two magnets held apart, kinetic energy is highest when the magnets first released, then it decreases steadily. Energy stored in the magnetic field becomes zero.

The magnetic field is the field in the space and around the magnet in which the magnetic field can be filled.

Magnetic force is the force of attraction or repulsion between two poles of the two magnets. The magnetic force is also appearing between two electrically charged bodies.

Two magnets held apart. Once released, the south pole of one magnet moves toward the north pole of another magnet until the magnets collide.

The graph reflection of kinetic energy of magnet -

Therefore, graph for the two magnets held apart, kinetic energy is highest when the magnets first released, then it decreases steadily. Energy stored in the magnetic field becomes zero.

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Answer:

15 J

Explanation:

Work = Force x Distance

15= 30 x 0.5

Have a blessed day!

Answer:Pravat did 15 J of work

Explanation:

No, the object's displacement and distance traveled will be equal; however, because the object's initial position is unknown, the object's position may differ from its displacement and distance traveled.

Because the initial position is not provided, we cannot assert that the displacement or distance equals the position. We might have arrived at a different conclusion if the starting point had been zero, because the distance from zero equals the position.

What precisely do you mean by position, displacement, and distance?

The location of an object (whether a person, a ball, or a particle) at a given point in time is referred to as its position. The displacement of an object is the difference in its position from one time to the next. Distance is the total amount the object has traveled in a certain period of time.

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The velocity of first object after the collision is 16.62cm/s and the velocity of second object after collision is 32.783cm/s.

Given initial mass of object (m1) = 26g = 26x10-3kg

initial velocity of object (u1) = 19cm/s = 0.19m/s

mass of second object (m2) = 11g = 11x10-3kg

initial velocity of second object (u2) = 15cm/s = 0.15m/s

Let the velocity of first object after collision = v1

the velocity of second object after collision = v2

These objects are elastically collided. Then from law of conservation of momentum we can see that m1u1+m2u2 = m1v1+m2v2

Here kinetic energy is also conserved. Then

1/2m1u1^2 + 1/2m2u2^2 = 1/2m1v1^2 + 1/2m2v2^2

Then v1 = (m1-m2)/(m1+m2)×v1 + 2×m2/(m1+m2)×v2

v1 = (26-11)/(26+11)×(19) + 2×(11)/(26+11)×(15)

v1 = 7.702 + 8.918 = 16.62cm/s

Then v2 = 2×m1/(m1+m2)×v1 + (m2-m1)/(m1+m2)×v2

v2 = 2×(26)/(26+11)×(19) + (11-26)/(26+11)×(15)

v2 = 26.702 + 6.081 = 32.783cm/s

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We can't see any galaxies fifteen billion light-years away because looking fifteen billion light-years away means looking to a time before the universe even existed.

The universe, according to science, began with an explosion of space itself (the explosion is called the Big Bang) around 13.8 billion years ago. Gravity, a fundamental force that pulls masses toward each other, gradually drew matter together to form the first stars and the first galaxies.

Cosmic inflation, which is an extension of the Big Bang, explains why the universe is so homogeneous (or evenly composed) and how galaxies are distributed across space.

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The odd feature about Mathilde is that it had a different shape. It has all the features like Ida, Eros, and Gaspra. Thus, option D is correct.

Mathilde is a type of metal body present in the asteroid belt having an irregular shape. It is different from other asteroids because of its highly elongated and heavily cratered structure in space. It is estimated that the diameter of the Mathilde is around 50 kilometers.

Mathilde does not have any defined shape and the color is also very distinct. Due to its high carbon nature, it looks like dark black color. This type of asteroid is more prone to collisions.

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Therefore for cart to stay here on track when it arrives at point P, the net force applied to it must be greater or equal than for the heaviness of the cart.

The force is an impact that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to describe force is as a pushed or a pull. A vector quantity is called a force since it has both strength and the direction.

The strongest force in existence is thought to be the strong force. The gravitation, weak, and electromagnetism forces come after it in lowest to highest.

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That's a pretty good intuitive definition of a theory .

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

mass = 1000 kg

acceleration = 25 m/s²

force = 1000 × 25 = 25,000

We have the final answer as

Hope this helps you