A student plots the current voltage graphs of three samples of nichrome wire. The samples have resistances R1, R2 and R3

The total momentum of the system is 22500 kg-m/s i + 37500 kg-m/s j.

Momentum is given by the formula,

P = m * v

where, m is mass

v is velocity

Given that,

Mass of the first car m₁ = 1500 kg

Mass of the second car m₂ = 1500 kg

Velocity of the first car v₁ = 25 m/s

Velocity of the second car v₂ = 15 m/s

The momentum of the first car is p₁ = m₁ * v₁ = 1500 * 25  = 37500 kg-m/s j

The momentum of the second car is p₂ = m₂ * v₂ = 1500 * 15  = 22500 kg-m/s i

The total momentum of the system is sum of momentum of both the cars.

⇒ 22500 kg-m/s i + 37500 kg-m/s j

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The voltage of given circuit is 5 volts.

Explanation of Ohm's Law, the relationship between current, voltage and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them. Therefore, if the voltage V (in volts) across a wire made of one of these materials is tripled, the current I (in amperes) is also tripled. The quotient V/I remains constant. The quotient V/I for a particular piece of material is called the resistance R and is measured in units called ohms. The resistance of materials that obey Ohm's law does not change over vast voltage and current ranges. Ohm's law can be expressed mathematically as V/I = R.

Given,

I = 0.5 Amp

As all the four resistors are connected in series, total resistance of the circuit is:

R = 1 + 2 + 3 + 4

R = 10 Ω

Using Ohm's law:

V = IR

V = 0.5 × 10

V = 5 volts

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We can think of friction force is a force that resists the sliding motion of two surfaces that are touching one another. Kinetic friction is another name for this friction.

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While spending the day relaxing on the beach, Keisha notices that the Sun appears to move across the sky. The best explanation for this is the Earth's rotation on its axis.

So basically, the earth keeps on rotating about its axis constantly. The change from day to night is due to the phenomenon of Earth's rotation on its axis only. The sun remains fixed, but the earth rotates. So for a person on earth, it seems like the sun rises and moves across the sky and then sets, but in reality, it is the earth that rotates on its axis.

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Air bags protect people during car crashes is an example that shows how physics affects society. The correct option to this question is D.

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Complete question: Which of the following most directly shows how physics affects society

A.a perfume company designs a new fragrance

B.a patient is treated by acupuncture for an illness

C.gardeners uses fertilizers to help plants grow

D.air bags protect people during car crashes

Lambda is the symbol for wavelength it isn't a constant there for no standard value

it is linked to frequency:

frequency x Wavelength = speed of light (3x10^8)

What is lambda?

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The questions is incomplete I answered it in general way

The resulting moment of force is 45 nm.

Calculation:

F = 450 N

x = 1 m

Moment of force = F ×x

Moment of force = 450 ×0.10nm

Moment of force = 45.0nm

An object experiences pushes or pulls as a result of its interaction with another object. There is a force operating on each object whenever there is an interaction between two items. There is no force acting on the two objects when the interaction ends.

There are four basic factors at work. Strong nuclear force, electromagnetic force, and gravitational force. The enormous nuclear force is the most potent of these four forces. This leads us to the conclusion that an object moves more quickly whenever the force acting on it is in the same direction as its motion.

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Answer:

Below

Explanation:

Work = force x distance   ==>  the forces during the 3 stages are different

a)   I will assume accel is constant for the first 10 m

             Average velocity = 5/2 = 2.5 m/s

               10 m / 2.5 m/s = 4 seconds

                 then a = 5 m/s / 4 s = 1.25 m/s^2   <==this accel is added to 'g'

                          F = ma

                                = 80 * (9.81 + 1.25) = 884.8 N

                        W = 884.8 * 10 = 8848 J

b)   This one is easier    W = F * d =  (80)(9.81)(10) = 7848 J

c)    Now we decelerate  at 1.25 m/s^2 <==== this SUBTRACTS from g

           W = ( 80 )(9.81-1.25)*10 = 6848 J  

Answer:

C

Explanation:

Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed. C

The force on the particle is equal to  5 ×10⁻⁴ N. The kinetic energy of the particle is 2.5 ×10⁻³ J.

An electric field can be described as the field that surrounds electrically charged particles and acts as a force on all other charged particles in the field.

The Coulomb force on a charge q at any point is equal to the product of the charge and the electric field at that point

[tex]{\displaystyle \mathbf {F} =q\mathbf {E} }[/tex]

The SI unit of the electric field is a volt per meter (V/m).

Given, the magnitude of charge, q = 10⁻⁵ C

The electric field, E = 50 V/m

The force on the particle, F = 50 × 10⁻⁵ = 5 ×10⁻⁴ N.

Work, W = K.E. = F.S = 5 ×10⁻⁴ × 5 = 25 × 10⁻⁴ = 2.5 ×10⁻³ J

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The solution is Orbit or Bust. Because it has the shortest build time and the lowest cost. To make a jet, aerospace engineers require a lightweight material.

Identifying a problem, researching the problem, generating various solutions, selecting the best answer, creating a model, testing the model, refining and retesting the model as needed, and communicating the final solution are all steps in the technological design process. Identifying a need, creating and implementing a solution, and assessing the solution are the four stages of technology design. It starts with a product design challenge and ends with SRS, and the starting point is the project purpose statement, thus all options are false.

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The way that  observations of nonscientists, like fisherman be of value to scientists is that:

In science, observation is vital. Scientists gather and record data through observation, which allows them to create and subsequently test ideas and hypotheses. Scientists can observe in many different ways, using their own senses or instruments to increase their vision or hearing.

Science actually takes cultural values into account. In turn, values can be objective if they are founded on widely acknowledged concepts. In contrast, scientists prioritize verifiability, testability, accuracy, precision, generality, and simplicity.

Therefore, In terms of receiving financing and being able to communicate their work to their peers in a way that is clear and understandable, being able to discuss their findings with both scientists and nonscientists is essential for their own professional advancement.

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Based on Newton's law of gravity, the force of attraction on the airplane moving on Earth is directly proportional to the mass of the airplane and inversely proportional to the square of distance the airplane from Earth's surface.

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

Mathematically, this law is written as follows;

Fg = ( G m₁ m₂ )  / ( r² )

where;

From Newton's second law of law of motion we will have;

F = mg

mg = ( G m₁ m₂ )  / ( r² )

g = Gm / r²

Every object on  Earth surface moves with equal acceleration due to gravity which has a value of 9.8 m/s².

Thus, airplane flying on Earth surface will be affected by gravity and the weight or downward force on the airplane is a function of gravity.

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The term "magnetic flux density" refers to the strength of the magnetic field. The Greek letter Phi or the Phi suffix B are frequently used to represent magnetic flux.

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To calculate the electric flux across a location, multiply the electric field by the surface area projected in a plane perpendicular to the field. On any closed surface, the universal law known as Gauss's Law is applied.

In the case of a sphere-shaped Gaussian surface with radius r > R, the electric field is directed outward and has the same strength at every point along the surface. Simply multiplying the electric field by the spherical surface's area yields the electric flux.

Electric flux (E) traveling through a surface of vector area S equals: E = ES = EScos if the electric field is uniform is the angle between the electric field lines and the normal (perpendicular to S), S is the area of the surface, and V/m is the magnitude of the electric field.

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The direction of the vector of motion on the right then the direction of the force of friction on the box will be toward the left. Therefore, option D is correct.

Frictional force can be defined as the force generated by two surfaces coming in contact and sliding against each other. These forces are affected by the position of the object, surface texture, and angle.

Friction can be explained as the force that prevents the movement of the moving object when the surface of one object comes in contact with another.

The fractional force acting on an object can be represented as:

F = μmg

In the given diagram the box is moving in the right direction, Then the force of friction will act in the opposite direction. Therefore the vector in the left direction represents the direction of the force of friction on the box.

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Answer:

Phase shift {F(x)} = Asin(Bx-C) + D.

The pellet has a kinetic energy of 4.9 10-2 J as it exits the spring.

Kinetic energy is the term for the energy present in an object in motion. Examples of kinetic energy include you walking down the street, the globe rotating around the sun, and motion in space. The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.

To calculate the kinetic energy of the pellet, solve the energy conservation equation using the necessary variables as substitutes.

KE = EPE

KE = 1/2 kx²

KE = 1/2(20N/m) (7cm ×1/100cm)²

KE = 4.9 × 10⁻²J.

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The position of the image of a cologne bottle is equal to 52cm. The magnification of the image is equal to 0.55 and the virtual image.

The reflecting part of the concave mirror is that which caves inwards and the reflecting part of a convex mirror is one which caves outwards.

[tex]\displaystyle \frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]

Where f is the focal length, u is the object distance and v is the image distance

Given, the focal length of the concave mirror, f = 33.0cm

The distance of the bottle, u = 93 cm

[tex]\displaystyle \frac{1}{33}=\frac{1}{93}+\frac{1}{v}[/tex]

1/v = 0.030- 0.0107

1/v = 0.0192

v = 52 cm

The magnification of the image, m = v/u = 52/93 = 0.55.

The image will be virtual.

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Answer:

four cycles per second

0.000709 m , 0.00122 m is the radii of the first and second bright fringes in the reflected light.

In works of art, light that reflects off one thing and strikes a different object is known as reflected light. You are working with light no matter what topics you draw or paint or how you draw or paint them. How three-dimensional your drawing appears depends on how well you depict light.

R = Radius of curvature = 2.9 m

λ =  Wavelength = 559 nm = 546×10⁻⁹ m

Radius of bright fringe

r = [tex]\sqrt{(m+0.5)}[/tex]λr

The first bright fringe indicates that m = 0.

r = [tex]\sqrt{(0.5*559)*10^-9*1.8}[/tex] = 0.000709m

At m = 1, first-second fringe implies.

r = [tex]\sqrt{(1+0.5)559*10^-9*1.8}[/tex] = 0.00122m

∴The initial brilliant fringe has a radius of 0.000709 m. The second brilliant fringe has a radius of 0.00122 m.

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The evolution of an elliptical galaxy involves a gradual decrease in star formation and a steady increase in its size.

Over time, gas and dust are depleted, leaving behind an aging stellar population and a low level of star formation. As star formation declines, the galaxy's mass slowly increases, forming a larger and more elliptical shape.

The evolution of a spiral galaxy is different in that the spiral structure is maintained over time. Gas and dust are continually replenished, providing the necessary materials needed for ongoing star formation. As a result, the stellar population remains young and active, and the galaxy maintains its distinct spiral shape.

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The capacitance of the capacitor is 47.22×10^-12F

Capacitance is the ratio of the charge Q and the potential difference between the two plates. Also the capacitance can be expressed as:

C = εA/d, In this equation, C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area; and d is the distance between the two conductive plates. It is measured in Farad

A = 0.56×0.20 = 0.112cm²

d = 21mm = 0.021m

ε = 8.854×10^-12F/m

C = εA/d

C =( 8.854× 10^-12× 0.112)/0.021

C = 47.22 × 10^-12 F

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the nuclear formula for the 236 94 pu alpha decay.

236(top) 94(bottom) Pu ---> 4(top) 2(bottom) He + 232(top) 92(bottom) U

Nuclear processes such as "alpha decay," which releases a particle made up of two protons and two neutrons, allow unstable nuclei to transform into new elements. An alpha particle, which is just a helium nucleus, is an expelled particle that has this name. A positive charge and a sizable mass are two characteristics of alpha particles. Alpha particles can't penetrate very deeply into a material or go very far through the air due to their huge mass. Alpha decay is rarely employed in external medical radiation therapy since it only affects surfaces.

By examining how radiation is deflected by a magnetic field, Ernest Rutherford was able to distinguish alpha decay from other types of radiation in the beginning. You would anticipate a positive particle to deflect in the manner of alpha decay.

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Six values of the displacement of the string exist at x = 5.0 m at 1 s from t = 0 s to t = 6 s.

All the numbers existing between two specific integers are called as an interval. Out of these whichever umbers fall between these actual values are termed as range.

Intervals contain real numbers falling between two set numbers.

A snapshot graph at t = 0 s of two waves on a string coming towards one other at time interval of 1 m/s is provided. Then, the values of the string displacement at x = 5.0 m at 1 s from t = 0 s to t = 6 s are,

At t = 0

s,= Y₀= 0 cm

At t =1

s,= Y₁= 0 cm

At t = 2

s,= Y₂= 0 cm

At t =3

s,= Y₃= 0 cm

At t =4

= Y₄= 0 cm

At t = 5 s,

= Y₅=0 cm

At t = 6

s,= Y₆= 0 cm

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The complete question:

(Figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

1. List the values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

If the half-life of a radioactive sample is 22 years, it will take 73.11 years for the sample to decay to 10%.

A fixed percentage of activity is lost during radioactive decay per unit of time. Half-life: The amount of time needed for a sample to degrade to 50% of its starting state. 1/2 = e –(λ*T1/2). constant over time and unique to each nuclide.

The term (physical) half-life refers to the amount of time needed for radioactivity to decline and split in half. Half of the radioactivity will remain after a period of time equal to the half-life has passed, and a further half of the radioactivity will remain after a period of time twice as long as the half-life has passed.

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Divide the number of times the event happens over the period of time to determine the frequency.

The frequency index is the number of occupational accidents for 1,000 employees, whereas the frequency rate is the number of occupational accidents (work halted for more than one day) that occurred over a period of 12 months by one million hours worked.

Both frequency and rate count the number of times a behavior takes place. Since frequency, f, is 1/T, wave speed, frequency, and wavelength are related by the equation v = f. In contrast to frequency, rate is time-based. Calculating rate and frequency is simpler and more precise.

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In a case whereby a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced the illusion that makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is Mach bands.

Mach bands  can be described as the illusory dark as well as the bright bars seen at the foot and knee of a luminance trapezoid this wa explained by Ernst Mach in the latter part of the 19th century however the  Mach bands  can be regarded as the test bed not only for models of brightness illusions but of spatial vision in general.

Therefore, in the bcase above the illusion that makes the 'fracture line' look darker  as wwell as serious to the less experienced dentists than it really is Mach bands.

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The time to fatigue calculated from the given record in Lab data is preferably 60 seconds.

Time to fatigue is the time that is taken for muscle contraction to decrease by 50% of its maximum strength.

Force is the one that is measured by weight here. Here, as time progresses force is seen to come down.

When force is seen to come down, there is a decrease in the number of motor units that get employed as well.

Time to fatigue is the one where this force expressed as weight reaches half of the maximum.

Here, the maximum force expressed as kg is 48kg at 0 sec.

Half of 48kg is 24kg. This is the point where time to fatigue happens with a decreased number of motor units.

Here, we can see that at the 60th second , 50% decay which is 24 kg force happens with the help of only 2 motor units.

Hence, our time to fatigue here is preferably 60 seconds.

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The work done to stop the boat from the movement is 1020 J

The mass of the boat = 1200 kg

The initial velocity of the boat = 1.7 m/s

The final velocity of the boat = 0 m/s

The work done to stop the boat is the change in kinetic energy of the boat from movement to rest. It can be done by using the formula,

            W = ΔKE = 1/2mu² - 1/2mv²

where m is the mass of the boat

           u is the initial velocity of the boat

           v is the final velocity of the boat.

Let us substitute the known values in the above equation, we get

        W = 1/2 (1200)(1.7) - 1/2(1200)(0)

             = 1/2 x 1200 x 1.7

             = 600 x 1.7

             = 1020 J

Therefore, the work done is 1020 J

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