Jacky starts biking to meet up with her friend. She determines that she will be 3 minutes late if she bikes at a speed of 10 mph and 2 minutes early if she goes 12 mph. How much time does she have left before the appointed meeting time?.

If  the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.

According to the Newton's 2nd law of motion, the direction of the acceleration is the same as the direction of the net force.

Hence, if  the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.

This is called a centripetal force and its direction is always toward the center. The magnitude of the force is given by:

F = mv²/r

Where:

F = centripetal force

m = mass of the object

v = tangential velocity

r = radius of the circle trajectory

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The radius of star is [tex]97.22*10^{3} m[/tex].

Using the angular  formulas can determine the radius using both values neutron star and the the knowing star. So,

L=I*w

[tex]L_{1}=I_{1}*w_{1}=L_{2}=I_{2}*w_{2}[/tex]

[tex]I_{1}*w_{1}=I_{2}*w_{2}[/tex]

where,

           I=Inertia of the star

          w=angular velocity

[tex]I=\frac{2*m*r^{2}}{5}\\w=\frac{2\pi}{t}[/tex]

Notice the angular velocity determinate by the time and the Inertia have the radius value. So,

[tex]\frac{2}{5}*m*r_{sn}^{2}*\frac{2\pi }{t_{1}}=\frac{2}{5}*m*r_{s}^{2}*\frac{2\pi }{t_{2}}r_{sn}^{2}*\frac{1}{t_{1}}=r_{s}^{2}*\frac{1}{t_{2}}r_{sn}^{2}=r_{s}^{2}*\frac{t_{1}}{t_{2}}\\t_{1}=0.2s\\t_{2}=30day*\frac{24hr}{1day}*\frac{60minute}{1hr}*\frac{60seg}{1minute}=2.592*10^{6}s\\r_{sn}=3.5*10^{8}m*\sqrt{\frac{0.2s}{2.592*^{6}s}}\\r_{sn}=97.22*10^{3} m[/tex]

So the radius of the star is [tex]97.22*10^{3} m[/tex].

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The kind of influence which Solomon is experiencing in this scenario is generally referred to as informational social influence.

In Psychology, an informational social influence can be defined as a situation in which a person (individual) conforms to new information or arguments because he or she has a desire to be right (good and just), especially by looking to others who are believed to have more information.

This ultimately implies that, an informational social influence is a type of conformity which is associated with internalization and it typically occurs when a person (individual) is either unsure and skeptical about a situation or lacks knowledge.

In this context, we can reasonably infer that Solomon is experiencing informational social influence in this scenario.

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Most of the radiation released from the failed nuclear reactor was from fission products is a true statement.

What is fission reaction?

Fission happens once a nucleon slams into a bigger atom, forcing it to excite and split into 2 smaller atoms—also called fission product. extra neutrons also are free which will initiate a sequence reaction. once every atom splits, an amazing quantity of energy is released

Most of the radiation released from the failing apparatus was from fission products iodine-131, cesium-134 and cesium-137. atomic number 53 features a comparatively short half-life of eight days, in line with UNSCEAR, however it's quickly eaten through the air and tends to localize within the thyroid gland.

In the atomic power plant, a specific style of radiation called ionising radiation, that may be a type of energy that is capable of removing electrons from atoms, is emitted each naturally from U and as a part of the fission process.

Therefore, the statement, "most of the radiation released from the failed nuclear reactor was from fission products" is a true statement.

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Fundamental Frequency of the String is 177.42 Hz.

The quantity of waves emitted by a source per second is known as a wave's frequency. Additionally, it is the quantity of waves per second that pass a specific spot. The hertz is a measure of frequency (Hz).

The equation f=v f = v, where is the wavelength in meters and v is the wave speed in m/s, can be used to determine the frequency of a wave if the wavelength and speed of the wave are known. This also provides the wave's frequency in Hertz.

The Tension in the String is 765 N.

Steel wire length L is 0.900 m

Mass of the string m is 6.75 g = 6.75 * 10^-3 kg.

Frequency of the string = n *(Velocity of the wave on the String/(2L) )

v = 319.37 m/sec

For Fundamental Frequency n = 1

Frequency = V / 2L

f = 319.37 / (2*0.9)

f = 177.42 Hz

The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).

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They absorb radiation relatively well.

All bodies continuously emit and absorb radiation.

The rate of loss of heat from an warm object is proportional to temperature.

The perfect example of good emitter and absorber is black body, whereas a very shiny surface will be a poor emitter and absorber.

The intensity of radiation increases as body gets hotter and radiation is released.

Stars are also considered the best example of black body radiation.

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The fraction of ice submerged when it floats in freshwater is 0.9.

Given that,

The density of water is 1000 kg/m³

The density of ice is 0.917 gm/cm³

Converting gm/cm³ to kg/m³

We get, 0.917 gm/cm³ = 917 kg/m³

Let ρ₁ = 1000 kg/m³, ρ₂ = 917 kg/m³

V₁ = Volume of water displaced = x V₂

V₂ = Volume of ice submerged

Archimedes principle states that buoyant force on the ice will be equal to the weight of the water displaced. It can be written as an equation as:

ρ₁ V₁ = ρ₂ V₂

V₁ = ρ₂ V₂/ ρ₁

x V₂ = 917 *V₂/ 1000

x = 0.9

Thus, the fraction of ice submerged in water is 0.9.

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There are two methods:

Pythagorean Theorem

Take the Derivative with Respect to Time

Pythagorean theorem:

Let's name the horizontal distance from the wall to the bottom of ladder h, and the vertical distance from the ground to the top of ladder y. Then, because the ladder is l feet long, we may know at any time

This statement expresses the connection between

h² + y² = l²

the quantity you want (something about the vertical position of the ladder's top, y), and the quantity you've been given (something about the horizontal location of the ladder's bottom, x).

Take the Derivative with Respect to Time

h² + y² = l²

d/dt [h² + y²] = d/dt[l²]

2x dh/dt + 2y dy/dt = 0[*]

The last statement provides the necessary relationship between the unknown dy/dt and the known dh/dt.

So, once again, the problem is virtually solved.

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The penguin that is currently on the outside of the group will eventually be in the middle. Because huddles are dynamic structures, no penguin can stay on the edge for very long.

While swimming in the ocean, a penguin's fat coat shields them from the cold. However, on land, their feathers serve as a means of heat retention. Instead of being long and flat like those of flying birds, penguin feathers are short and contain an underlayer of soft, woolly down. When a penguin comes out of the water, its feathers are excellent at shedding water. They cross each other, creating a good streamlined effect in the water and excellent wind-shedding properties on land. Penguins can puff their feathers out when it's extremely cold to capture more air and provide better insulation.

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The smallest possible uncertainty in the position of the proton is 4.211×1/10¹⁴m.

The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light.

∆x∆v = h/4πm

uncertainty in velocity, ∆v = 0.25×3×10⁸/100 = 4.211×1/10¹⁴m

What is a proton?

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Using a high-resolution telescope like the Hubble space telescope is the most effective approach to determining the distance to a galaxy.

The most distant star ever observed is Icarus, a huge blue star that covers more than half the universe. Even with the biggest telescopes in the world, they are typically too faint to be seen.

However, scientists were able to find this far-off star and achieve new distance records because of a natural variation that considerably intensifies the star's feeble shine. Icarus was also used to test the dark matter hypothesis and investigate the makeup of nearby galaxy clusters.

This star is so far away, hidden in a very vast spiral galaxy, that it took nine billion years for its light to reach Earth. The cosmos seems to have existed when it was around 30% older than it is now.

This star can be seen because of gravitational lensing, a cosmic phenomenon. Light is bent and amplified by the gravity of large foreground galaxy clusters, which functions like a natural lens in the cosmos. A single backdrop object's light can produce several images. Light is bright enough to see extremely faint and far-off objects and is substantially intensified.

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Technician A says the lens of a sealed beam headlight has convex prisms molded to the inner surface. Technician B says it’s an airtight assembly containing a filament, reflector, and lens. The correct statement is told by: both technicians.

A sealed beam lamp is an enclosed bulb in front of a glass lens we can find in a headlamp. Each part of the sealed beam cannot be replaced separately. The sealed beam headlights have parabolic aluminized reflectors in the form of convex prisms molded to inner surface. It also contains a filame, reflector, and lense. Hence, both statement from the technicians are true.

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The momentum of the ostrich is determined as 2,282 kg m/s.

The momentum of an object is defined as the product of mass and velocity of the object.

The momentum of the ostrich running at the given velocity is calculated by applying the following formula as shown below.

P = m v

where;

P = 163 kg  x  14 m/s

P = 2,282 kg m/s

Thus, the momentum of the ostrich is a function of mass of the ostrich and velocity of the ostrich.

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Assuming the car stops instantaneously and that the spring is the only force acting against the car's kinetic energy:

When the car hits the wall, the spring-loaded bumper compresses 0.30 m. This means that the spring must have exerted a force on the car in the opposite direction of its motion.

The spring must have stored a minimum of 286,000 J (40,000 J of kinetic energy + 0.3 m of potential energy) of energy to bring the car to a stop.

Assumptions:

- The car stops instantaneously

- The spring is the only force acting against the car's kinetic energy

- The spring is linear (i.e. Hooke's Law applies)

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The cost of method because the source's pace procedures the velocity of sound transferring to the proper will be 1/2fs.

When each movements withinside the same route with same velocity n' = n, i.e. there can be no Doppler impact because of the truth relative motion amongst deliver and listener is zero.

The motion of the observer will adjust the frequency of the measured sound from a table certain deliver: An observer moving in the direction of the deliver measures a higher frequency. An observer moving a ways from the deliver measures a lower frequency.

The Doppler impact is an alteration withinside the determined frequency of a legitimate due to motion of each the deliver or the observer. The actual trade in frequency is called the Doppler shift.

It will cause an increase in frequency heard thru an observer at the same time as the deliver is moving withinside the direction of the observer and a decrease in frequency heard thru an observer at the same time as the deliver is moving a ways from the observer. The doppler impact can be determined at the same time as an ambulance with a siren on procedures and passes an observer.

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The bumper's spring constant is 8.9 × 10^5 N/m.

Given that energy wasn't lost from the point when the car had 40,000 J of KE to when it impacted the wall, i.e. the energy was perfectly conserved (assumption)

The kinetic energy of the car would be converted to the Elastic potential energy of the bumper spring. According to the law of conservation of energy.

K.E = Elastic P.E = (1/2)kx^2. .....1

Where;

k = bumper spring constant.

x = compression length of spring.

From equation 1

k = 2K.E/x^2

K.E = 40,000J

x = 0.30m

k = 2(40000)/(0.30^2)

k = 80000/0.09

k = 888,888.89N/m

k = 8.9 × 10^5 N/m

So the bumper's spring constant is 8.9 × 10^5 N/m.

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The difference for the nth maxima is 500n  farther is it from the dot on the screen in the center of fringe e to the left slit than it is from the dot to the right slit

The maximum intensity occurs at this location in a single-slit diffraction pattern as a result of secondary waves reinforcing one another there.

Distance from the screen's center dot

The difference is (500)(0) = 0 when viewed from the center (zeroth) fringe.

The difference for the first maximum is 500 nm.

It is equal to 500 x 2 1000 nm for the second.

As a result, we can say that the difference for the nth maxima is 500n.

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The magnitudes of Emax and  Bmax for the electromagnetic waves at the top of the Neptune's atmosphere are 33.95 N / C and 11.31 * 10⁻⁸ T respectively.

I = ( Emax )² / ( 2 μo c )

I = Intensity

Emax = Maximum Electric field

μo = Absolute permeability of free space

c = Speed of light

μo = 4π * 10⁻⁷ H / m

c = 3 * 10⁸ m / s

I = 1.529 W / m²

Emax² = I * 2 μo c

Emax² = 1.529 * 2 * 4π * 10⁻⁷ * 3 * 10⁸

Emax² = 1152.25

Emax = 33.95 N / C

I = c Bmax² / ( 2 μo )

Bmax² = 2 μo I / c

Bmax² = ( 2 * 4π * 10⁻⁷ * 1.529 ) / ( 3 * 10⁸ )

Bmax² = 128 * 10⁻¹⁶

Bmax = 11.31 * 10⁻⁸ T

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Answer:

C

Explanation:

You don't want to buy a 1000 dollar credit card.

The features are useful, like the little sync feature to automatically pay is awesome.

The plan of use for the card is important

the card aesthetic doesn't affect the card in any way, just your personal preference

The wavelength of wave is 0.15×10⁸m if its frequency is 20Hz.Waves need  medium to travel from one place to another.

Expecting a sinusoidal wave moving at a proper wave speed, frequency is conversely corresponding to recurrence of the wave: waves with higher frequencies have more limited frequencies, and lower frequencies have longer wavelengths.

Frequency relies upon the mode (for instance, vacuum, air, or water) that a wave goes through. Instances of waves are sound waves, light, water waves and occasional electrical signs in a conduit.

For electromagnetic wave ,we know an expression

c=ν × λ

where c is the defined as the speed of wave in any medium,

ν is  defined as the frequency of the wave and

λ is defined as the  wavelength of the wave.

We know that value of c=3×10⁸m/sec and we have v=20Hz

Therefore,3×10⁸=20×λ

=>λ=(3×10⁸)/20

=>λ=0.15×10⁸m

Hence, wavelength of wave is 0.15×10⁸m.

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The frequency of a sound wave with a period of 2 seconds is 0.5Hz..Frequency is said to be inversely proportional to time period.

Frequency suggests the amount of cycles in a particular unit of time. The avocation for why the sky is blue or anything contains assortment can be really figured out by it. In addition, it can similarly get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, recurrence plays a significant impact on the notes of a piano or different instruments.

This number of occasions is obviously a major property of a wave. The waves incorporate people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Additionally, its assessment occurs in Hertz (Hz).

So, we know a formula

Frequency=1/Time period

which states that frequency is just converse of time period.

=>v=1/2

=>v=0.5/sec

or v=0.5Hertz.

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The majority of electromagnetic energy from space cannot reach the Earth's surface. The only light that reaches sea level is radio waves, visible light, and some ultraviolet light.

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Answer:

1.43 J

Explanation:

PE = mgh = (0.04 kg)(9.80 m/s2)(3.6576 m) = 1.43 J

You have to convert g to kg, and feet to m

If the pendulum is taken into orbiting space it will continue to oscillate in a vertical plane with the same period.

Oscillation is the repetitive or periodic variation, normally in time, of some degree about a central price or among two or extra exclusive states. Acquainted examples of oscillation include a swinging pendulum and alternating present-day.

Oscillatory movement is defined because of the to and fro movement of the body about its constant function. An oscillatory movement is a form of periodic motion. Examples of oscillatory motion are vibrating strings, swinging of the swing, and so on.

As the pendulum acts closer to the other quit of its swing, all of the kinetic energy turns returned into potential power.

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The geographical regions in different parts of the world are always characterized by different average temperatures during different given periods of time. Moreover, these average temperatures may increase or decrease, which depends on a lot of external geographical factors. The data representing the same has been mentioned above.

Since in 1880, the oceans can be sorted from largest to smallest based on their average temperature change. The order can be kept as-

1. Northern Canada

2. Western Europe

3. Australia

4. Southern Africa

5. Eastern Pacific Ocean

6. Antarctic Ocean

Therefore, the above order is the descending order of the area based on change in the temperature.

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The motion being described is linear motion, and since it has direction, it is a vector quantity.

A linear motion is a style of motion in which the object's movement is inversely proportional to its speed and duration of motion.

This type of motion also happens in a straight line.

The following is the formula for final velocity in a linear type of motion:

v = u + at

where;

V is the object's final speed or moving rate.

u is an object's initial speed, and a represents its acceleration.

t is the object's motion in time.

Our equation is formed by the supplied statement as follows:

v = u + at

15 m/s = 10 m/s + 60a

Thus, the final velocity formula, which is a vector quantity, is shown by the equation above.

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Answer:

If the two forces are acting simultaneously on the body, then vector addition will supply us with the resultant force. Note that when the two forces are acting directly opposite each other, we expect the resultant to be smallest, and conversely, when they are acting in exactly the same direction, they will exert the greatest resultant force (simply the sum of the two force magnitudes).

The centripetal acceleration of the car on the circular track is found to be 10m/s².

The car is running on a circular track at a speed of 30m/s. The radius of the circular curve is 90 m.

The centripetal acceleration of the car is given by the relation,

a = v²/r

Where is the centripetal acceleration we is the speed of the car and R is the circular radius of the curve,

Putting values,

a = (30)²/90

a = 10m/s²

So, the centripetal  acceleration of the car is 10m/s².

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The elastic potential energy of a spring is the product of one-half of its spring constant and the square of its deformation.

The potential energy of the spring is defined as the potential energy stored as a result of the change in the shape of a particular elastic object or a spring.

The energy is stored before the force is removed, and the spring comes back to its original shape. It does work in the process. The deformation could involve compressing, stretching, or twisting the object.

It is calculated as the work done in stretching the spring, and it depends on the spring constant k, and the distance stretched.

The potential energy formula of a spring is given as

P.E = ½ k x2

Where,

k = the spring constant

x = the spring displacement

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The average force during the bounce of a 0.140-kg baseball that is dropped and reaches a velocity of -1.20 m/s just before it hits the ground and bounces with an upward velocity of 1.00 m/s is 15.5 N

J = m Δv

J = Impulse

m = Mass

m = 0.14 kg

Δv = Change in velocity

Δv = vf - vi

vf = Final velocity

vi = Initial velocity

vf = 1 m / s

vi = - 1.2 m / s

Δv = 1 - ( - 1.2 )

Δv = 2.2 m / s

J = 0.14 * 2.2

J = 0.31 kg m / s

J = F Δt

F = Force

Δt = Change in time

Δt = 0.02 s

F = J / Δt

F = 0.31 / 0.02

F = 15.5 N

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