What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic? << Read Less

Answer:

The velocity \(v = 1989.2 \ m/s\)

Explanation:

From the question we are told that

    The wavelength is \(\lambda = 0.500 \ m\)

     The maximum transverse speed is  \(v = 4.0 \ m/s\)

      The maximum transverse acceleration is  \(a = 1.00 *10^{5} \ m/s^2\)

Generally the frequency of the wave is mathematically represented as

                    \(f = \frac{w}{2 \pi }\)

Here  w  is the angular speed which is mathematically evaluated as

      \(w = \frac{a}{v}\)

=>    \(w = \frac{1.00 *10^{5}}{4}\)

=>    \(w = 25000 \ rad/sec\)

So

       \(f = \frac{ 25000 }{2 * 3.142 }\)

=>    \(f = \frac{ 25000 }{2 * 3.142 }\)

=>    \(f = 3978.4 \ Hz\)

Gnerally the propagation speed of the wave is mathematically represented as

        \(v = f * \lambda\)

=>      \(v = 3978.4 * 0.500\)

=>      \(v = 1989.2 \ m/s\)

The instantaneous velocity of the car at t = 5.0 s is -3 m/s. The negative sign indicates that the car is moving in the opposite direction from the traffic light at that moment.

Instantaneous velocity is the velocity of an object at a specific point in time. It is the rate of change of the object's position at that particular moment, and it is represented by the derivative of the object's position with respect to time. Instantaneous velocity is a vector quantity, meaning it has both magnitude and direction. It can be determined by taking the limit of the average velocity as the time interval approaches zero. It is also the limit of the average acceleration when the time interval approaches zero.

This can be found by taking the derivative of the equation \(x(t) = bt2 − ct3\)with respect to t. The derivative of this equation is \(v(t) = 2bt - 3ct^2.\)Plugging in the given values of b and c, and evaluating the equation at t=5.0s gives the instantaneous velocity of the car.

To learn more about instantaneous velocity visit

brainly.com/question/2234298

#SPJ4

The radial acceleration of the blade tip is  1370 g rad/s².

Radial acceleration is defined as "the acceleration of the object is along the radius, directed towards the center" in uniform circular motion.

Given parameters:

Rotational speed of the helicopter rotor: ω = 600 rev/min

= 600 × 2π/60 rad/min.

= 20π rad/min.

Length of the blade: r = 3.4 m.

Then,   the radial acceleration = ω²r = (20π)²× 3.4 rad/s².

= {(20π)²× 3.4}/9.8 g rad/s².

= 1370 g rad/s².

Hence,  the radial acceleration of the blade tip is  1370 g rad/s².

Learn more about radial acceleration here:

https://brainly.com/question/3388038

#SPJ1

The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

For more such questions on wavelength

https://brainly.com/question/10728818

#SPJ11

Hi! they used the LM's engine to speed their return to Earth instead of landing them on the lunar surface

Answer:

Explanation:

cSep 20, 2010

well, since player b is obviously inadequate at athletics, it shows that player b is a woman, and because of this, she would not be able to hit the ball. The magnitude of the initial velocity would therefore be zero.

Anonymous

Sep 20, 2010

First you need to solve for time by using

d=(1/2)(a)(t^2)+(vi)t

1m=(1/2)(9.8)t^2 vertical initial velocity is 0m/s

t=.45 sec

Then you find the horizontal distance traveled by using

v=d/t

1.3m/s=d/.54sec

d=.585m

Then you need to find the time of player B by using

d=(1/2)(a)(t^2)+(vi)t

1.8m=(1/2)(9.8)(t^2) vertical initial velocity is 0

t=.61 sec

Finally to find player Bs initial horizontal velocity you use the horizontal equation

v=d/t

v=.585m/.61 sec

so v=.959m/s

Answer:

d=(1/2)(a)(t^2)+(vi)t

1m=(1/2)(9.8)t^2 vertical initial velocity is 0m/s

t=.45 sec

Then you find the horizontal distance traveled by using

v=d/t

1.3m/s=d/.54sec

d=.585m

Then you need to find the time of player B by using

d=(1/2)(a)(t^2)+(vi)t

1.8m=(1/2)(9.8)(t^2) vertical initial velocity is 0

t=.61 sec

Finally to find player Bs initial horizontal velocity you use the horizontal equation

v=d/t

v=.585m/.61 sec

so v=.959m/s

Explanation:

Yes, it is possible that a bicycle can help you develop more power. Riding a bicycle involves using your muscles to pedal the bike, which can help to improve your muscle strength and endurance. As you ride the bike, your muscles will contract and relax repeatedly, which can help to build strength and power.

Additionally, biking can help to improve your cardiovascular fitness. As you ride, your heart will have to work harder to pump oxygen-rich blood to your muscles, which can help to improve the function of your heart and lungs. This can also help to increase your power and endurance, as your muscles will be able to work harder and for longer periods of time.

Overall, biking can be a great way to develop more power and improve your overall fitness. It can help to build strength and endurance in your muscles, and it can also improve the function of your heart and lungs.

A wave, in scientific terms, is a disturbance or oscillation that transfers energy through matter or space without transferring mass.

In science, a wave refers to a disturbance or oscillation that travels through matter or space, transferring energy without causing any net movement of the particles within the medium.

Waves can be classified into two types: mechanical and electromagnetic. Mechanical waves, such as sound or ocean waves, require a medium (like air, water, or a solid) to propagate.

Electromagnetic waves, such as light, radio, and microwaves, can travel through a vacuum, like outer space. Waves are characterized by their amplitude, wavelength, frequency, and speed, which determine their energy and propagation characteristics.

For more such questions on wave, click on:

https://brainly.com/question/13874687

#SPJ11

The momentum of the baseball with a mass of 0.14 kg and velocity of 41.26 m/s is determined as 5.78 kgm/s.

The momentum of the baseball is calculated by applying the following formula as shown below;

P = mv

where;

The momentum of the baseball is calculated as follows;

mass of the baseball = 0.14 kg

velocity of the baseball = 41.26 m/s

momentum, P = mv

P = 0.14 kg  x  41.26 m/s

P = 5.78 kgm/s.

Thus, the momentum of the baseball with a mass of 0.14 kg and velocity of 41.26 m/s is determined as 5.78 kgm/s by applying the formula for linear momentum.

Learn more about momentum here: https://brainly.com/question/7538238

#SPJ1

The complete question is below:

Imagine a baseball pitcher and a batter. The baseball has a mass of 0.14 kg. The ball is pitched to the right with a velocity of 41.26 m/s. What is the momentum of the baseball?

The weight of the 100 kg object on the surface of the planet is approximately 8.9 × 10¹² Newtons.

To calculate the weight of a 100 kg object on the surface of a planet, we need to use the formula for gravitational force:

F = (G * M * m) / r²

Where:

F is the gravitational force (weight)

G is the gravitational constant (approximately 6.67430 × 10⁻¹¹ N m²/kg²)

M is the mass of the planet (4.8 × 10²⁴ kg)

m is the mass of the object (100 kg)

r is the radius of the planet (diameter / 2)

Given that the diameter of the planet is 12,000 km, we can find the radius by dividing it by 2:

r = 12,000 km / 2 = 6,000 km = 6,000,000 m

Now, we can substitute the values into the formula:

F = (6.67430 × 10⁻¹¹ N m²/kg² * 4.8 × 10²⁴ kg * 100 kg) / (6,000,000 m)²

Simplifying the expression:

F = (6.67430 × 10⁻¹¹ N m²/kg² * 4.8 × 10²⁶ kg) / 36,000,000,000 m²

F ≈ 8.9 × 10¹² N

Therefore, the weight of the 100 kg object on the surface of the planet is approximately 8.9 × 10¹² Newtons.

For more such questions on weight visit:

https://brainly.com/question/86444

#SPJ11

Hence, R = 28.97 m, 24.5 degrees is the vector sum of T and U.

A vector's direction is frequently stated as a rotation of the vector's "tail" anticlockwise with respect to due East. In accordance with this practise, a vector having a direction of 30 degrees is a vector that has been anticlockwise rotated 30 degrees with respect to due east.

Let's begin by separating the components of the vector T:

T~ = 40 m, 30 degrees

T_x = 40 cos(30) = 34.64 m

T_y = 40 sin(30) = 20 m

Let's now decompose the vector U into its constituent parts:

U~ = 12 m, 225 degrees

U_x = 12 cos(225) = -8.49 m

U_y = 12 sin(225) = -8.49 m

It is possible to combine elements of the same type (x and y):

R_x = T_x + U_x = 34.64 m - 8.49 m = 26.15 m

R_y = T_y + U_y = 20 m - 8.49 m = 11.51 m

The Pythagorean theorem can be used to determine the size of the resulting vector R:

|R~| = sqrt(R_x² + R_y²) = sqrt((26.15 m)² + (11.51 m)²) = 28.97 m

The inverse tangent function can be used to determine the direction of the resulting vector R:

theta = tan⁻¹(R_y/R_x) = tan⁻¹(11.51 m/26.15 m) = 24.5 degree.

To know more about vector visit:-

https://brainly.com/question/30512630

#SPJ1

We can measure the flow rate of various liquid by pouring the liquid down an incline and time how long it takes each one to reach the bottom.

option C.

The flow rate of a liquid is how much fluid passes through an area in a particular time.

Flow rate can be articulated in either in terms of velocity and cross-sectional area, or time and volume. As liquids are incompressible, the rate of flow into an area must be equivalent to the rate of flow out of an area.

Generally, the best equipment to measure the flow rate of a liquid is flow meters. In the absence of flow meters, we can other methods such as the one given in the options.

We can pour the various liquid down an incline and time how long it takes each one to reach the bottom.

Learn more about flow rate here: https://brainly.com/question/30618961
#SPJ1

Answer:

Heat capacity.

Thermal Expansion.

Thermal conductivity.

Thermal stress.

Explanation:

there

Answer:

Buoyant force = g M / V * V = g d V where d is the mass / volume (density)

Fw = g * Vw * dw         buoyant force of water on block (10 N)

Fbr = g * Vw * dbr        buoyant force of brine on block

Fbr / Fw = 1.2        buoyant force of brine is 1.2 times that of water

Buoyant force of brine = 10 * 1.2 N = 12 N

Thus, the block will weight 90 - 12 = 78 N submersed in brine

Explanation:

Power = change in work/change in time

P = 600 joules/ 4 seconds

P= 150 watts

hope this helps :)

The unit vector normal to the plane is determined as (i  - 4j  -  13k) / √186.  

Option  B.

The magnitude of the cross product of a→ and b→, is determined as follows;

|a→ × b→| = (3i +4j -k) × (i- 3j + k )

= [i       j       k]

  [3     4      -1]

  [1     -3       1]

The cross product of the vectors is calculated as follows;

= i (4 - 3) - j(3 - - 1)  + k (-9 - 4)

= i  - 4j  -  13k

The magnitude of the vector is calculated as follows;

|n| = √ (1² + 4² + 13²)

|n| = √186

The unit vector normal to the plane is calculated as follows;

n = (i  - 4j  -  13k) / √186

Thus, the unit vector normal to the plane is determined as (i  - 4j  -  13k) / √186.   The answer is B.

Learn more about unit vector here: https://brainly.com/question/17271641

#SPJ1

Answer:

Hans Christian Oersted

Explanation:

The car undergoes an average acceleration a of

a = (29.4 m/s - 17.3 m/s) / (58 s) ≈ 0.209 m/s²

so the force has a magnitude F of

F = (1200 kg) a ≈ 250 N

Answer:The current focus of climate science involves carbon dioxide (CO2)emissions. Carbon dioxide in the atmosphere acts as a blanket over the planet by trapping long wave radiation, which would otherwise radiate heat away from the planet. As the amount of carbon dioxide increases, so will its warming effect.

Explanation:

Answer:

A. a state of being aware of the environment and oneself.

Answer: A state of being aware of the environment and oneself or the first choice.

Answer:

A systematic error may result in a high degree of precision.

A systematic error will likely result in poor accuracy

Explanation:

It's what my work gave me when I got it wrong

The CMB radiation's current temperature of 2.7 Kelvin is a result of the cooling and redshifting caused by the expansion of the Universe, which has been slowing down over time due to gravity.

The Cosmic Microwave Background (CMB) radiation is a remnant of the early hot and dense Universe. About 380,000 years after the Big Bang, the Universe cooled enough to allow the formation of neutral atoms, which made it transparent to radiation. This released the CMB radiation, which has been traveling through the Universe ever since, and its temperature has been cooling due to the expansion of the Universe. The CMB radiation is currently observed at a temperature of about 2.7 Kelvin, much cooler than the early Universe's temperature of 3000 Kelvin. This cooling is due to the expansion of the Universe, which causes the radiation to redshift to lower energies and longer wavelengths. This effect is known as the cosmological redshift. Moreover, the expansion of the Universe is not constant, but rather it is slowing down due to the gravitational pull of matter. This means that the early Universe's rate of expansion was faster than it is today, causing the CMB radiation to cool more rapidly in the past.

For such more questions on gravity

https://brainly.com/question/30054501

#SPJ11

When the scientists draw conclusions the scientist find out whether the hypothesis was supported.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process.

Once your experiment is complete, you collect your measurements and analyze them to see if they support your hypothesis.

Scientists frequently discover that their hypotheses and predictions were not supported by the results of their experiments. In these circumstances, they will discuss the results of their experiment before reevaluating their initial theories and predictions in light of the fresh information. The scientific method is essentially restarted in this way. Even if they discover that their theory was correct, they could still wish to verify it once more using a different approach.

The correct option is (a).

Learn more about hypothesis here:

https://brainly.com/question/606806

#SPJ9

Answer: Each macromolecule is broken down by a specific enzyme. For instance, carbohydrates are broken down by amylase, sucrase, lactase, or maltase. Proteins are broken down by the enzymes pepsin and peptidase, and by hydrochloric acid. Lipids are broken down by lipases.

Explanation:

Hope this will help

Answer:

the needle must be 11.1 mm long to reach the bubble

Explanation:

 Given that;

An air bubble appears to be 7.2 mm below the flat surface of a piece of amber

so Apparent depth = 7.2 mm

index of refraction = 1.54

we know that;

Refractive index = Real depth / Apparent depth

we substitute

1.54 = Real depth / 7.2 mm

Real depth = 1.54 × 7.2 mm

Real depth = 11.088 ≈ 11.1 mm

Therefore, the needle must be 11.1 mm long to reach the bubble

The comparison of the speeds and kinetic energy of the identical balls are as follows

The speed and the kinetic energy of the first and fourth ball are equal, while the speed and kinetic energy of the second and third balls are equal

The reason for the above comparison results areas follows;

Known parameters;

First ball is thrown straight up

Second ball is thrown 30° above the horizontal

Third ball it thrown 30° below the horizontal

The fourth ball is thrown straight down

Unknown:

Comparison of the speed and kinetic energy of the four balls

Method:

The kinetic energy, K.E. = (1/2) × m × v²

The velocity of the ball, v = u × sin(θ)

Where;

u = The initial velocity of the ball

θ = The reference angle

θ = 90°

∴ \(v_y\) = u

The final velocity of the ball as it strikes the ground is v₂ = u² + 2gh

Where;

h = The height of the cliff

∴ Kinetic energy of first ball, K.E.₁ = (1/2) × m × (u₁² + 2gh)²

K.E. = (1/2) × m × ((u×sin30)² + 2·g·h)² = K.E. = (1/2) × m × ((0.5·u)² + 2·g·h)²

Kinetic energy  K.E.₂ = (1/2) × m × ((0.5·u₂)² + 2·g·h)²

K.E. = (1/2) × m × ((u×sin30)² + 2·g·h)² = K.E. = (1/2) × m × ((0.5·u)² + 2·g·h)²

Kinetic energy K.E.₃ = (1/2) × m × ((0.5·u₃)² + 2·g·h)²

Kinetic energy K.E.₄ = (1/2) × m × (u₄² + 2gh)²

Therefore, as the ball strike the ground, the speed and the kinetic energy of the first and fourth ball are equal, while the speed and kinetic energy of the second and third balls are equal

u₁ = u₄, K.E₁ = K.E.₄, u₂ = u₃, K.E₂ = K.E.₃

Learn more about object kinetic energy of objects in free fall here;

https://brainly.com/question/14872097

Answer:

The answer is option D: trial 1 is the largest while trial 3 is the smallest.

Explanation:

Gravitational force is the attraction that exists between all objects at all times.

The  force ranking, that is consistent with Anna's data, be Trial 1 is the largest, trial 3 is the smallest.

Newton's universal law of gravitation states that the force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

In the data: trial 1  has largest mass of the moon and smallest distance between the planet and the moon. So, the gravitational force will be largest here. Trial 2 has both smallest mass of the moon and largest distance. Hence, according to definition of gravitational force, in this case force is the smallest.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ2

The centripetal force for the car's turn is provided static friction force

The centripetal force that acts on a car when it turns in a circular path is calculated as follows;

\(F_c = \mu F_n\\\\F_c = F_s\)

Where;

Fs is the static frictional force

The kinetic frictional force between the tyres and the road surface gives the car the acceleration to move forward.

Thus, the centripetal force for the car's turn is provided static friction force by while kinetic friction force  between the tyres and the road surface gives the car the acceleration to move forward.

Learn more about static friction force on car's turn here: https://brainly.com/question/13680415