josh and taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. josh is much bigger than taylor. after the push, which of the two is moving faster?

Question:

A wave with a frequency of 14 Hz has a wavelength of 3 meters. At what speed with this wave travel?

Answer:

42m/s

Explanation:

v= λf

Frequency of wave: f= 14Hz

the wavelength of the wave: λ=3m

speed of wave: s=?

speed = frequency * wavelength

s = 14 * 3 = 42 m/s.

Given Data:

The applied acceleration is constant.

speed of the car after time,t1 = 20s, is V1=  54 km/h = 15 m/s

speed of the car after time,t2 =  60s, is V2= 108 km/h = 30m/s

we use the formula, V = Vo + a x t

where, Vo is the initial speed, a is the acceleration(constant),

t is the time taken by the object.

a) Acceleration = rate of change of speed with time = V2 - V1 / t2 - t1

a = 30-15/60-20

a = 15/40 = 0.375 m/[tex]{s^{2} }[/tex]

b) Initial speed, Vo = V1 - a x t1

                                = 15 - 0.375 x 20

                                 = 7.5 m/s

c) Speed after 40 s, V = Vo + a x t, t = 40s

                                     = 7.5 + 0.375 x 40

                                      = 22.5 m/s

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The ratio of the centripetal acceleration at the end of the blade to that which exists at a point located 6.16 m from the centre of the circle: 1.29

Centripetal acceleration is given by :

a = ω2R

where,

ω is the angular speed

R is the distance of the point from the centre

Let the point at the tip be A and that at distance 6.16 m from centre be B

Distance of point A from centre (RA) = 7.99 m

Distance of point B from centre (RB) = 6.16 m

Centripetal acceleration at A (aA) = ω2RA = 7.99ω2

Centripetal acceleration at B (aB) = ω2RB = 6.16ω2

The ratio (aA/aB) = 7.99/6.16 = 1.29

centripetal acceleration is defined as the motion characteristic of an object moving along a circular path. Any object moving in a circle whose acceleration vector points towards the centre of that circle is called centripetal acceleration. You must have seen various examples of medium acceleration in your daily life. When you drive a car around a circle, your car experiences an average acceleration, and the average acceleration is also observed by a satellite orbiting the Earth. Middle means towards the centre.

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According to the given data  the frequency of the pendulum is 0.595 Hz.

Frequency is defined as the rate of changes in current direction per second. It is given in hertz (Hz), an internationally recognised unit of measurement. One cycle per second is equal to one hertz. Cycles per second are represented by the unit hertz (Hz). A cycle is a full cycle of an opposing current or voltage wave.

The time rate of change observed in cyclical and periodic phenomena, such as mechanical motion, audio signals (sound), radio waves, and light, is specified by the frequency, an essential parameter in science and engineering.

Calculate the period of oscillations formula is

T = 2π√(L/g)

T = 2 * π * √(0.7/9.80665)

T= 1.678 s

Then the frequency as the reciprocal of the period

f = 1/T

f =1/1.678

f = 0.595 Hz.

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The wavelength released during photoelectric effect is 353 nm.

We need to know about the photoelectric effect to solve this problem. The photoelectric effect is electron ejected from metal because of light source. The kinetic energy of the ejected electron is

K = (hc / λ) - (hc /λo)

where K is kinetic energy, h is Max Planck constant (6.6 x 10¯³⁴ Js), λ is the wavelength of light source and λo is the wavelength released from the metal.

From the question above, we know that

λ = 257 nm = 257 x 10¯⁹ m

c = 3 x 10⁸ m/s

v = 6.8 x 10⁵ m/s

me = 9.1 × 10¯³¹ kg

Find the wavelength released

K = hc . (1/λ - 1/λo)

1/2 . me .v² = 6.6 x 10¯³⁴ x  3 x 10⁸ . (1/257 x 10¯⁹ - 1/λo)

1/2 . 9.1 × 10¯³¹ . (6.8 x 10⁵)² = 6.6 x 10¯³⁴ x  3 x 10⁸ . (1/257 x 10¯⁹ - 1/λo)

2.10 x 10¯¹⁹ = 1.98 x 10¯²⁵ . (1/257 x 10¯⁹ - 1/λo)

2.10 x 10¯¹⁹ = (7.70 x 10¯¹⁹) - (1.98 x 10¯²⁵ / λo)

(1.98 x 10¯²⁵ / λo) = 5.60 x 10¯¹⁹

λo = 0.353 x 10¯⁶ m

λo = 353 nm

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At initial speed must the quarter back through the ball for it to reach the reciver.

What is initial speed

The initial speed is the velocity at which motion start.

Sol-

The horizontal velocity is Vi*cos38.6and the vertical velocity is Vi*sin38.6

horizontal

28.4=Vi*cos38.6 time find time in terms of Vi.

Vertical

hf=hi+Vi*sin38.6*t -1/2 g t^2

now hf=hi=0

so

0=Vi*sin 38.6-1/2 g t and put the expression you got for t, then solve for Vi. You will encounter the need for one trig identity.

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From the computation and the use of the Kepler's law, the period of the orbit is period of the orbit is 25 AU.

The term Kepler's law has to do with the relationship between the relationship between the period of the satellite and the radius of the orbit in which the satellite is found.

According to the Kepler's law, we know that the square of the period of the satellite is directly proportional to the cube of the radius of the orbit. Having said this, we need to find the radius of the orbit and we have been told from the question as we have it above that the period of the satellite that is under consideration is  125 years.

Now;

T^2 = r^3

Given that;

T = period

r =  radius of the orbit

Then;

r = T^2/3

r = (125)^2/3

r = 25 Au

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A constant in the experiment performed to determine how the amount of coffee grounds could affect the taste of coffee is amount of water.

Experiment is a test under controlled conditions made to either demonstrate a known truth, examine the validity of a hypothesis, or determine the efficacy or likelihood of something previously untried.

An experiment is conducted using variables such as;

A controlled variable or constant is a factor that is kept constant in a series of experiments in which other factors are varied.

According to this question, in an experiment that was performed to determine how the amount of coffee grounds could affect the taste of coffee, the same amount and type of water, the same perking time, and the same electrical sources were used.

This suggests that the amount of water is a constant in this experiment.

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1.926kg is the maximum book mass you can hold this way and keep from slipping.

This book with 27 N, so Normal rection force N = 27N.  

let mass of brook =  m Kg

here gravitational force acting downwards which tend book to more downwards and frictional force moving  is acting vertically upwards to held

frictional force a must be equal to gravitational force here frictional force

fr = μN

so for body to be rest fr = mg

                                     μN =  mx 9.81

                                      m =     μN / 9.81

here maximum value of coefficient static friction   μ = 0.70

                                      m = 0.70x  27/9.81

                                     m = 1.926kg

Friction is the force that opposes motion when the surface of one object comes into contact with the surface of another. The mechanical advantage of the machine is reduced by friction,  in other words, the ratio of power to input decreases due to friction. A car uses a quarter of its energy to limit friction. However, the friction of the tires also allows the car to stay on the road, and the friction of the clutch allows it to drive. From matches to machines and molecular structures, friction is one of the most important phenomena in the physical world.

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Mass m = 73kg

Vertical height in each stage h = 10 m

A). Initial speed u = 0

Final speed v = 4.3m / s

Work done W= mgh + ( 1/ 2) m[v 2 - u 2 ]

= 7063.2 +665.64

= 7728.84 J

B).Work done W = mgh

= 7063.2J

C).Work done W  = mgh + ( 1/ 2) m [ V 2 - v 2 ]

Where  V = final speed

= 0

v =4.3m / s

Substitute the values we get  W =7063.2 - 665.64

= 6397.56 J

To slow down a vehicle The vehicle slows down when it sees a police car. Thesaurus synonyms, antonyms, and examples. slow down. Slowing down The car slowed down and stopped next to her. A motionless object has zero velocity. If an object has zero acceleration its velocity must be constant.

Whenever an object's acceleration is in the same direction as its velocity, the car is accelerating and is said to be accelerating. If the acceleration is simultaneously opposed to the speed, the car is said to be slower and slower. Delay slows down: An unexpected slowdown in your car could mean you're running out of gas.

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The three strokes to put the golf ball into a hole is given. we have to find the overall displacement of the golf ball and its direction measured counterclockwise due east. So, we take due east as 0°, north as 90°, and so on.

For 1st stroke, the ball moves 5.1m due east means 5.1m at 0°.

The displacement along x- direction for 1st stroke = 5.1m × cos 0° = 5.1m, and y-displacement = 5.1m × sin 0° = 0m.

For 2nd stroke, the ball moves 1.8m at an angle 20° north of east.

Its x-displacement = 1.8m × cos (20°) = 1.691m, and y-displacement = 1.8m × sin (20°) = 0.6156m.

For third stroke, the ball moves 0.50m due north, means 0.50m by 90°.

Its x-displacement = 0.5m × cos (90°) = 0m, and y-displacement = 0.5m × sin(90°) = 0.5m.

The overall x- and y- displacements of the ball are:

x = 5.1 + 1.691 + 0 m = 6.791 m, and

y = 0 + 0.6156 + 0.5 m = 1.1156 m, respectively.

And its direction is θ = y/x = 1.1156 ÷ 6.791 = 0.164° due east.

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Torque Formula:

T = d * F * sin angle

a) if the force is doubled, torque is doubled ( directly proportional)

For example, if force is 2 N, and distance is 2 m ,

T= 2*2* sin 90 = 4 Nm

If force is doubled:

T= 2*4 * sin90 = 8 Nm

b) If the distance of the center of rotation is doubled , Torque is also doubled ( same as "a")

c) If angle decreases 45° (90 - 45 = 45 )

T= 2*2*sin45 = 2.82 Nm

Torque also decreases

The speed of the beam of light moving along the shoreline when it is 1 km from p 62.83 km/min revolution.

A revolution is the motion of 1 object around a center or some other object, a forceful overthrow of a government by using the people, or any sudden or grand trade. An example of revolution is the movement of the earth around the solar.

dθ/dt = 3 rev/min

         = 3×2π = 6π rad/min

tanθ = x/3

[tex]\frac{d}{dt}[/tex] tanθ = [tex]\frac{d}{dt}[/tex] (x/3)

sec²θ dθ/dt = 1/3 dx/dt

dx/dt = 3sec²θdθ/dt

At x = 1km; tanθ =x/3 =1/3

sec²θ = 1 + tan²θ = 1+(1/3)²

sec²θ =10/9

dx/dt = 3sec²θ dθ/dt

dx/dt = 3×10/9×6π

dx/dt = 62.83 km/min

Hence, the beam of light along the shoreline when it is 1 km away from point P is 62.83 km/min

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It is distinguished from the other planets by the presence of liquid water on its surface, the presence of life, and active plate movement. It rotates on its axis once every 24 hours (a day) and orbits the Sun once every 365 days (a year). The Earth has a single moon.

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Given:

The mass of the system is m' =m/2

The net force acting on it is F' = 2F

To find the acceleration.

Explanation:

The acceleration will be

Thus, the acceleration would be quadrupled(x4).

Answer: B) force must be in the same direction as movement

Explanation:

The statement is incorrect about the light year .

What is a light year ?

A Light year is the distance that light travels in a vacuum in one year.

The fastest thing we know is light, which travels through empty space at 186,000 miles or 300,000 kilometers per second. To give you an idea of ​​how fast it is, light can circle the Earth about seven times in one second. Astronomers use the speed of light to measure distance in space. A light year (ly) is the distance that light can travel in one year. In one year, light travels approximately 5,880,000,000,000 miles or 9,460,000,000,000 kilometers. So this distance is 1 light year. For example, our closest star is about 4.3 light years away. Our galaxy, the Milky Way, is about 150,000 light-years across, and the nearest large galaxy, the Andromeda Galaxy, is 2.3 million light-years away from her.

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If Victor starts measurements 100 m from the disposal site, he needs to stand 50 m from the source if he hopes to measure soil with 4 times the radiation.

I = 1 / r²

I = Intensity

r = Distance

At a distance of 100 m from the source,

I = 1 / 100²

I = 1 / 10000

I = [tex]10^{-4}[/tex] J / m² s

Four times this radiation will have an intensity of,

I = 4 * [tex]10^{-4}[/tex] J / m² s

4 * [tex]10^{-4}[/tex] = 1 / d²

d² = 1 / 4 * [tex]10^{-4}[/tex]

d² = 0.25 * [tex]10^{4}[/tex]

d = √ 25 * 10²

d = 5 * 10

d = 50 m

Therefore, he needs to stand 50 m from the source

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The possible density of the iceberg from the options that have been given in the question is 0.88 g/mL.

We know that the term density has to do with the ratio of the mass to the volume of an object. Now when we find that an object is denser than another, the denser object would tend to sink on the one that has a lesser density.

In accordance with the floatation principle which states that an object would displace only its own volume of the fluid. We can see that even if an object has an equal density as the other then it can float on the other liquid.

Here we have been shown the image of an iceberg which is close to what we have known as the "tip of the iceberg". We are now being asked to be able to obtain what should be the accurate density of the iceberg.

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The magnitude of electromotive force is 0.32 volts.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

B = 0.047 T

dt = 0.34 s

N = 10

A = 0.23 m²

Find the change in magnetic flux

dΦ = (B . A)

dΦ = ( 0.047 . 0.23 )

dΦ = 0.01081 Tm²

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 10 . 0.01081 / 0.34

ε = 0.32 volt

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The mass of the truck is 12,974.4kg .

As a measure of inertia, which is a fundamental characteristic of all matter, mass is used in physics. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force.

Measures a substance's resistance to acceleration in physics. A measure of an object's mass is roughly equivalent to counting the atoms that make up the object. The kilogram serves as the fundamental mass unit. Mass multiplied by the gravitational acceleration equals weight.

50km/h =50×5/18 m/s= 13.88 = 13.9

momentum (p)=180,345 kg.m/s

P=mv

180,345= m X 13.9

m = 180345/13.9

m = 12,974.46

m = 12,974.4

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If a batter can apply the same amount of maximum force from their hands to each bat to swing it ,  the speed of the bat swing decrease as the mass of the bat increases because of greater moment of inertia .

Moment of inertia is directly proportional to the mass , hence if mass of the bat increased , moment of inertia will also increase and it will be more difficult to swing the bat .

hence , the speed of the bat swing decrease as the mass of the bat increases

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The shape of an atomic orbital is associated with the principal quantum number (n).

The wave character of the electrons (or electron pairs) in an atom is described by atomic orbitals, which are mathematical functions. They provide a method for calculating the likelihood that an electron will be located in a particular area surrounding the atom's nucleus. An atom can have any number of orbitals, according to the quantum atomic model.

The function of the wave will therefore be determined  by the distance from the nucleus and not by its direction. Any particle's orbital shrinks in size but maintains a spherical geometry as its center quantum number drops.

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Scientists suspect that mars once had abundant liquid water on its surface. For this to have been true, early mars must have had a significantly greater atmospheric pressure and a far bigger greenhouse impact than mars today

The greenhouse effect describes how "greenhouse gases" trap heat at the Earth's surface. These heat-trapping gases act like a blanket wrapped around Earth, keeping it warmer than it would be without them. Carbon dioxide, methane, nitrous oxides, and water vapor are examples of greenhouse gases. Scientists have discovered that the warming effect of carbon dioxide aids in the stabilization of the Earth's atmosphere. The terrestrial greenhouse effect would collapse if carbon dioxide were removed. Without CO2, the Earth's surface would be 33°C (59°F) colder.

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The energy loss can increase or decrease.

In modern houses and systems, insulation is created to maintain heat and reduce losses.

P = ( AΔT ) / R

P is the heat flow, A is the insulated area, T is the temperature difference, and R represents the correlation between the insulation's thermal conductivity and thickness.

In this instance, they suggest that both the flow and the isolated area are growing. We have numerous options.

In this instance, the flow grows faster than the isolated area, increasing heat loss.

The quantity of insulation needed to increase (R) will cause the heat flow to grow by the same amount as the isolated area while keeping losses constant

Losses will reduce if the rate of heat transfer increases more slowly than the area that is insulated.

The two rises in this instance suggest that the heat requests may increase or decrease.

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The correct option is (a) Cocoa beans are used to make cocoa.

Cocoa bean shapes during manufacture The dried and fully fermented seed of Theobroma cacao, usually known as the cocoa bean or simply cocoa, is where cocoa solids and cocoa butter are extracted.

The dried, fully fermented cacao grain known as Theobroma is what is commonly referred to as a cacao bean or a cocoa bean. Solids, a mixture of nonfat substances, and cocoa butter, or lard, can be extracted from Theobroma cacao. The chocolate and meals from Mesoamerica were made from these cacao beans. As a result, cacao beans are used to create chocolate.

Hence, cocoa is made from cocoa beans.

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Answer:

micronutrients.

Explanation:

The friction force ratio between navy blue car and mint green car due to the centripetal force is 10/9.

We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is

Fc = m . v²/R

where Fc is the centripetal force, m is mass, v is velocity and R is the radius.

The friction force is proportional to the centripetal force

From the question, we know that

mblue = 1616 kg

mgreen = 1818 kg

Rblue = 4/5 Rgreen

vblue = vgreen

Find the centripetal force ratio

Fcblue / Fcgreen = (mblue . vblue² / Rblue) / (mgreen . vgreen² / Rgreen)

Fcblue / Fcgreen = (1616 / 4/5 Rgreen ) / (1818 / Rgreen)

Fcblue / Fcgreen = 10 / 9

Hence, the tension in the cord is 32 newton.

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First, we need to do a type conversion. Because the types of the two given quantities are different. One is in minutes. The other is in hours. A vehicle that travels [tex]45[/tex] kilometers in an hour travels how many meters in a second?

A vehicle that travels [tex]12.5[/tex] meters in a second travels how many meters in [tex]20[/tex] minutes?

a) Yes the ball clear it. Through, equation of motion is 1.104 m > 0.9 m

b) The distance between the center of the ball and the top of the net is 0.204 m

a) As we know the equation of motion,

  y = 1/2(at^2)

   y= 1/2 (9.81)(0.508)^2

  y = 1.266 m

height = Y net - y

h = 2.37m - 1.266m

h = 1.104m

b)

 height in y direction - net height

 = 1.104m - 0.9m

 = 0.204m

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