If a drag racer wins the final round of her race by going an average speed of 198.37 miles per hour in 4.537 seconds, what distance did he cover?1) 157,401 miles2) 2.500 miles3) 0.2500 miles4) 0.0121 miles

a. What is the direction of magnetic field B, due to current.

The direction of the magnetic field B, due to current, is given by the right-hand rule. If you point your right thumb in the direction of the current, your fingers will curl in the direction of the magnetic field.

In this case, the current is flowing in the same direction in both wires. Therefore, the magnetic fields from both wires will point in the same direction. The direction of the magnetic field will be out of the page at the point of interest.

b. Write an expression for the magnitude of B.

The magnitude of the magnetic field B, due to a current-carrying wire, is given by the following formula:

B = \frac{\mu_0 I}{2 \pi r}

It is the permeability of free space (4$\pi$ x 10^-7 T m/A)

I is the current in the wire (A)

r is the distance from the wire to the point of interest (m)

In this case, the distance from the wire to the point of interest is y. Therefore, the magnitude of the magnetic field is:

B = \frac{\mu_0 I}{2 \pi y}

Learn more about magnetic field here : brainly.com/question/9111055

#SPJ11

The voltage V necessary to maintain an oil droplet of mass m and charge -q suspended in the region between Plates A and B, which are separated by a distance d is given by the equation V = mgd / q. Thus, option A is correct.

Voltage is the electrical potential difference between two points in an electric circuit or a magnetic field. It is typically measured in volts (V).

It is the potential energy per unit charge produced by a charge difference between two points.

The equation that gives the voltage V necessary to maintain an oil droplet of mass m, and

charge -q suspended in the region between Plates A and B, which are separated by a distance d is:

V = mgd / q

Therefore, the correct option is A. V = mgd / q.

Learn more about Voltage here:

https://brainly.com/question/2526786

#SPJ11

--  The student's distance traveled is 200 meters.

--  The student's displacement is 141 meters Northeast.

If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)

The following data were obtained from the question:

P = V² / R

Resistance is constant, we have

V₁² / P₁ = V₂² / P₂

V² / P = (2V)² / P₂

V² / P = 4V² / P₂

Cross multiply

V² × P₂ = P × 4V²

Divide both side by V²

P₂ = P × 4V² / V²

P₂ = P × 4

From the above, we can conclude that the power will increase by a factor of 4 (option E)

Learn more about electrical power:

https://brainly.com/question/23850602

#SPJ1

Answer:

6.71 m/s magnitude

Explanation:

d = 1/2 a t^2

1.48 = 1/2 (9.81)(t^2 )    t = .549 s

Vertical velocity is given by

vf = at

      = 9.81 ( .549) = 5.39 m/s   VERTICAL velocity

Crazy cat went  horizontally 2.2 m in .549 s  =  4 m/s   horizontal velocity

Total velocity magnitude =  sqrt (4^2 + 5.39^2) = 6.71 m/s

Answer:

no

Explanation:

because it will bind together in the molecular level

Answer:

10-10x10+10=10-100+10=20-100=-80

Answer:

10 is the answer

Explanation:

10-10=0x10=0+10=10

Answer:

The black lines represent the energy absorbed by the electrons.

Explanation:

Atoms emit lights when they are excited. These lights are of particular wavelengths that match with different colors. A series of colored lines appear along with spaces in the middle of the two colors. The middle of the colors is filled with dark spaces. Each spectral line of an element represents a specific characteristic of the element. These colored lines appearing in the form of series are termed to be the atomic spectrum of the element. Identification of the elements is done through the line of the spectrum they possess.

Answer:

(B) The black lines represent the energy absorbed by the electrons.

Explanation:

Answer:

0.00025 kilometers

Explanation:

divide the length value by 1e+6

Answer:

250 mm = 0.00025 km.

Explanation:

250 mm equal 0.00025 km

Conversion details

To convert mm to km use the following formula:

1 mm equals 0.000001 km

So, to convert 250 mm to km, multiply 0.000001 by 250 i.e.,

250 mm = 0.000001 * 250 km = 0.00025 km

(hope this helps can i plz have brainlist :D hehe)

Answer:

the answer is b

Explanation:

The distance travelled by Arthur is 7 km and his displacement is 5 km.

The distance travelled by Arthur during the entire motion is determined by summing the entire path covered during the motion.

Distance = 3 km + 4 km

Distance = 7 km

The displacement of Arthur during the entire motion is obtained by calculating the length of the shortest path between the initial and final position.

d = √(a² + b)

where;

d = √(3² + 4²)

d = 5 km

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ1

Hi there!

Since the string is light and there is no friction in the pulley, the acceleration of the system is equal to the acceleration of both blocks.

We can begin by summing the forces of each block:

Block on incline:

- Force of gravity (in the negative direction away from the acceleration)

- Force of Tension

∑F = -M₁gsinФ + T

Block hanging:

- Force of gravity (Positive, in direction of acceleration)

- Force of Tension (Negative, opposite from acceleration)

∑F = M₂g - T

Sum both of these net forces for each block:

∑Fт = -M₁gsinФ + T - T + M₂g

∑Fт = -M₁gsinФ + M₂g

Divide by the mass to solve for acceleration:

\(a = \frac{-M_1gsin\theta+M_2g}{M_1+M_2}\)

Plug in the given values:

\(a = \frac{-(15)(9.81)(sin20)+19(9.81)}{15+19} = 4.002 m/s^2\)

The magnitude of the acceleration of the 19-kg block is 4.0 m/\(s^{2}\).

The 15-kg block is accelerating down the ramp, and the 19-kg block is accelerating up. The string connecting the two blocks is taut, so it must be applying a force to both blocks. The force of the string on the 15-kg block is equal to the force of the string on the 19-kg block.

Let's call the force of the string on the 15-kg block T. We can use Newton's second law to write two equations for the acceleration of the two blocks:

For the 15-kg block: T - mg sin(θ) = 15a

For the 19-kg block: T = 19a

where:

m is the mass of the block

g is the acceleration due to gravity

θ is the angle of the ramp

a is the acceleration of the block

Plugging the second equation into the first equation, we get:

19a - mg sin(θ) = 15a

Solving for a, we get:

a = (mg sin(θ)) / (4m)

= (15 kg * 9.8  m/\(s^{2}\) * sin(20°)) / (4 * 15 kg)

= 4.0 m/\(s^{2}\)

Therefore, the magnitude of the acceleration of the 19-kg block is 4.0  m/\(s^{2}\).

To know more about acceleration here

https://brainly.com/question/2303856

#SPJ3

The probability of an antiproton, of energy E, crossing a potential energy barrier Vo(x), where E < Vo(x). The probability of an electron of the same energy E passing through the above potential energy barrier is equal to 0.2.\(exp\ [-\sqrt{[\frac{h\ ln (0.2)^2}{32 m (Vo(x)-E)}} ]]\)

The probability of an antiproton crossing an electric potential energy barrier (Vo(x)), where E < Vo(x) is given by:

\(P(E) = exp(-2\sqrt{[2m\frac{(Vo(x)-E)}{h}]})\)

Where, h is the Planck constant and m is the mass of the particle. To calculate the probability of an electron passing through the same energy barrier, we are given that P(E) = 0.2. The probability of an antiproton crossing the same energy barrier is:

       \(P(E) = exp(-2\sqrt{[2m\frac{(Vo(x)-E)}{h}]})\)

The energy of the antiproton is given as E. Therefore, substituting this value in the above expression, we have:

\(P(E) = exp(-2\sqrt{[2m\frac{(Vo(x)-E)}{h}]})\)

As per the given condition, the probability of an electron passing through the same energy barrier is 0.2. Therefore, substituting this value in the above expression, we have:

\(P(E) = exp(-2\sqrt{[2m\frac{(Vo(x)-E)}{h}]})\)

Taking the natural logarithm on both sides, we have:

   \(ln0.2 = -2\sqrt{[2m\frac{(Vo(x)-E)}{h}]}\)

Taking the square of both sides, we have:

\(4\ ln 0.2 = 8 [2m\frac{(Vo(x)-E)}{h}]\)

Simplifying, we get:

\(Vo(x) - E = (\frac{h}{8m}) \frac{[ln 0.2]^2}{2}\)

\(Vo(x) = E + (\frac{h}{8m}) \frac{[ln 0.2]^2}{2}\)

Therefore, the probability of an antiproton crossing the electric potential energy barrier \((Vo(x))\), where  is given by:

   \(P(E) = exp(-2\sqrt{[2m\frac{(Vo(x)-E)}{h}]})\)

Substituting the value of Vo(x), we get:

\(P(E) = exp(-2\sqrt{[2m\frac{(h)}{8m}\frac{[ln 0.2]^2}{2h}{(Vo(x)-E)}]})\)

Simplifying, we get:

\(P(E) = exp[-\sqrt{[\frac{(h ln 0.2)^2}{32m}(Vo(x)-E)]}]\)

Therefore, the required probability is \(exp[-\sqrt{[\frac{(h ln 0.2)^2}{32m}(Vo(x)-E)]}]\).

To know more about antiproton visit:

https://brainly.com/question/33447720

#SPJ11

After the universe's 13.7 billion year old Big Bang, it has gone through numerous phases or epochs.

It may have experienced more activity and change in the first second than in all the billions of years since because of the harsh environment and violence of its very early beginnings.

We can construct a rough timeline as follows using our current understanding of how the Big Bang might have developed, taking into account notions about inflation, the Grand Unification, etc.

The Planck Epoch (or Planck Era), which spans from 0 to around 10-43 seconds (1 Planck Time), is the closest that modern physics can come to the beginning of time itself.

Therefore, After the universe's 13.7 billion year old Big Bang, it has gone through numerous phases or epochs.

To learn more about Big bang, refer to the link:

https://brainly.com/question/18297161

#SPJ1

Answer:

These two skaters have just pushed off against one another .One skater has twice the mass as the other. Which one willexperience the greater momentum?

Explanation:

mark Brainliest

At 12,000 feet above sea level, the temperature is 38°F if the air temperatures at sea level is 80°F.

Daniel Gabriel Fahrenheit, a scientist, initially suggested the temperature measure known as the Fahrenheit scale in 1724. (1686–1736).

The sign for the unit is indeed the letter °F, which stands for degrees Fahrenheit. There are several stories about how he first developed his scale, but according to the first publication, the lower defining point, 0 °F, was chosen as the freezing point of a brine solution that was formed by mixing water, snow, and ammonium chloride (a salt).

His best guess for the normal temperature of a person, which was initially put at 90 °F and later adjusted to 96 °F (around 2.6 °F),The other limit established was lower than the actual value (due to a subsequent revision of the scale).

To know more about °F do visit

https://brainly.com/question/15550238

#SPJ4

The Zenith angle at 45 degrees North during the Spring Equinox is 45 degrees.

The Zenith angle is measured as the angle between the vertical line (directly overhead) and the line connecting the observer to the Sun. During the Spring Equinox, when the Sun is directly above the Equator, the Zenith angle at any latitude is equal to the latitude itself.

To calculate the Zenith angle, Solar elevation angle, and beam spreading at a site located at 45 degrees North on the Autumnal equinox (September 22nd), additional information is needed, such as the time of day and the observer's exact location (longitude). These factors affect the position of the Sun in the sky. The Zenith angle is the angle between the vertical line and the line connecting the observer to the Sun. The Solar elevation angle is the complement of the Zenith angle (90 degrees minus the Zenith angle). Beam spreading refers to the divergence of the solar beam as it travels through the atmosphere, which is influenced by factors such as atmospheric conditions and the Sun's position.

The latitude at which daylight hours have the least variability is the Equator (0 degrees latitude). At the Equator, the length of daylight hours remains relatively constant throughout the year, with minimal variation. In contrast, as you move farther away from the Equator towards the poles, the variability in daylight hours becomes more pronounced, with significant changes between the seasons.

False. The spread of the solar beam, known as beam spreading, is actually greater at higher solar angles (closer to 90 degrees) compared to lower solar angles (closer to 0 degrees). At higher solar angles, the solar beam covers a larger area due to the greater incidence angle, resulting in a larger spread of solar radiation. As the solar angle decreases and approaches 0 degrees, the solar beam becomes more concentrated and focused on a smaller area, leading to a higher intensity of solar radiation at that point.

To know more about Zenith angle

https://brainly.com/question/30889585

#SPJ11

The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

To now more about revenue visit:

https://brainly.com/question/23706629

#SPJ11

Substituting the value of ω and solving for t, we get t ≈ 0.767 s, which corresponds to option B). Since the mass doesn't change, we can assume it remains constant.

To solve this problem, we can use the equation for the period of an oscillating system: T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant. Since the mass doesn't change, we can assume it remains constant.

Given that the period is 4.60 s, we can rearrange the equation to solve for k: k = (4π²m) / T². Once we have the value of k, we can use it to determine the equation of motion for the package: x(t) = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency (ω = √(k/m)), and φ is the phase constant.

Substituting the given values, we find the equation of motion to be x(t) = 8.30 cos(ωt) cm. To find the time at which the package will be at x = 4.15 cm, we solve the equation 4.15 = 8.30 cos(ωt) for t. Rearranging the equation, we get cos(ωt) = 0.5. Taking the inverse cosine, we find ωt = π/3.

Substituting the value of ω and solving for t, we get t ≈ 0.767 s, which corresponds to option B).

learn more about mass here:

https://brainly.com/question/11954533

#SPJ11

Answer: The Doppler effect occurs when a source of a wave is moving relative to an observer (or the observer is moving relative to the source). In this case, the apparent frequency of the sound, as heard/seen by the observer, is shifted with respect to the original frequency of the wave.

More specifically, the relationship between the apparent frequency, f', and the original frequency, f, is given by:

where:

is the velocity of the wave

is the velocity of the observer relative to the source, and it is positive if the observer is moving towards the source, and negative if the observer is moving away from the source

is the velocity of the source relative to the observer, and it is positive if the source is moving away from the observer, and negative if the source is moving towards the observer

The doppler effect occurs in many daily-life situations: for instance, when an ambulance approaches you, you hear an increase in the apparent frequency of the siren due to the Doppler effect. Another example is the movements of distant galaxies from us: when they move away from us, the apparent frequency of the light they emit decreases, so their wavelengths appear to increase towards the red color (red-shift); on the contrary, when they are moving towards us, the apparent frequency seems to increase, so the wavelength seems to decrease towards the blue color (blue-shift).

Explanation:

(a) The car travels a distance of 147 m before it overtakes the truck.

(b) At the moment when car overtakes the truck, the speed of car was 21 m/s

Let us assume that the time taken by the car to overtake the truck = t seconds

Now calculating the distance travelled by car and truck during this time,

Using the kinematic equation for calculating the distance travelled by car and the truck:

The distance travelled can be computed by the relationship \(s= 0.5at^2\)

Distance travelled by car will be \(S_{car} =0.5 \times 6\times t^2=3t^2 \:m\)

Distance travelled by truck will be \(S_{truck}=21 \times t = 21t \:m\)

At the instant of overtaking

Distance travelled by car = Distance travelled by truck

\(3t^2 = 21t\Rightarrow t = \frac{21t}{3t}=7\:sec.\)

So, the distance travelled by car before it overtakes will be 3*7*7 = 147 m

(b) As Car have crossed the truck in 7 sec. after covering a distance of 147 m.

So, at the moment of overtaking the truck the speed of the car will be = 147/7 = 21/s

For more questions on kinematic equation

https://brainly.com/question/28788270

#SPJ4

Answer:

the formula v = f×lambda.

v= 4.25× 5.6

therefore speed is

23.8 meters per second

(a) The momentum of the proton is determined as 5.17 x 10⁻¹⁸ kgm/s.

(b) The speed of the proton is determined as  3.1 x 10⁹ m/s.

The momentum of the proton is calculated as follows;

K.E = ¹/₂mv²

where;

v² = 2K.E/m

v² = (2 x 50 x 10⁹ x 1.602 x 10⁻¹⁹ J)/(1.67 x 10⁻²⁷)

v² = 9.6 x 10¹⁸

v = 3.1 x 10⁹ m/s

P = mv = (1.67 x10⁻²⁷ x 3.1 x 10⁹) = 5.17 x 10⁻¹⁸ kgm/s

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

#SPJ4

Answer:

Hope I can help you.

Explanation:

Here u go here are some that you can choose from! :)

1) Air bags are activated by a chemical reaction inside the bag. A sensor turns on an electrical circuit, and then sodium azide is ignited. The reaction that occurs generates nitrogen gas, which fills the bag at an extremely rapid rate.

2) Baking soda and vinegar produce carbon dioxide gas when mixed. As this gas grows in volume, it puts pressure on whatever container it is in, and will erupt out of an opening in the container, creating a volcano effect. This chemical reaction is safe, making it a great science activity for kids.

3) Batteries have two terminals: the anode and the cathode. They're separated by an electrolyte, a chemical that allows the anode and cathode to transmit a charge. When something's connected to a battery, chemical reactions take place along the electrodes to produce electricity. Of course, you can't see the energy in the battery when the battery is just sitting around; it is when the electricity is produced that the energy is seen.

4) Explosives: when an explosive goes off, chemical energy that was stored in it is changed and transferred into sound energy, kinetic energy, and thermal energy. Just because chemical energy is being released, it doesn't mean an explosion will occur. But, when a solid material quickly changes into a hot, expanding gas, you may be looking at an explosion. Take TNT, for example. Two units of solid TNT can instantly change into 15 units of hot gas, creating a dark and sooty explosion.

5) Food: chemical energy in food is released when the food is digested and the molecules of food are broken down into smaller pieces. Our bodies digest food by mixing it with acids and enzymes in the stomach. This process turns carbohydrates into glucose. The stomach (and small intestine) then release that glucose into the bloodstream, serving as energy for our bodies.

6) Heating packs (used to warm up cold hands or soothe sore muscles) have chemicals inside them. A lot of them function by "cracking" (or bending) them. This is because they're filled with iron. Once you crack the heating pack, the iron is exposed to the air. As the iron reacts to the oxygen, it transforms into iron oxide, a chemical that can produce heat.

7) Wood, when dry, stores chemical energy. This chemical energy is released as the wood burns, and it is converted into heat, or thermal energy. This also produces light energy. As a result of burning, the wood turns into an entirely new substance - ashes.

Explanation:

The liquid contains only one element. -The liquid is a pure substance. The number at the end of an isotope's name is the -mass number. While looking at xenon (Xe) on the periodic table, a student needs to find an element with a smaller atomic mass in the same group.

Answer:

D I'm pretty sure :)

Explanation:

hope this helps

The alpha particle is equal to the magnetic force acting on it.The deuteron must have a kinetic energy of 1.4 * 10^{-13} J to circulate in the same circular path.

Kinetic energy is the energy possessed by an object due to its motion. A circular path is a curved path in which the object moves in a curved or round shape. Here, the given problem involves the concept of motion of charged particles in the presence of a magnetic field.

(a) An alpha particle (q=+2e, m=4.0u) will circulate in the same circular path when the centripetal force required for the alpha particle is equal to the magnetic force acting on it.The centripetal force is given by F = \frac{mv²}{r} Where,F is the centripetal force,m is the mass of the particle,v is the velocity of the particle, andr is the radius of the circular path.The magnetic force is given by F = qvB; Where,q is the charge on the particle,v is the velocity of the particle, andB is the magnetic field. Therefore,F = \frac{mv²}{r}  = qvB. We can rearrange the equation to get the velocity of the alpha particle.v = r(Bqm)^(\frac{1}{2});Substitute the given values,

v = (0.5 * 10^{-2} m)(1 T)(2 * 1.6 * 10^{-19} C)(4 *1.66 * 10^{-27} kg)^(\frac{1}{2}) = 2.4 *10^{6} m/s.

The kinetic energy is given by K = (\frac{1}{2})mv²Substitute the given values,K = (\frac{1}{2})(4 * 1.66 * 10^-27 kg)(2.4 × 10^6 m/s)² = 1.8 × 10^-13 J(b) Similarly, the velocity of the deuteron is given by v = r(Bqm)^(\frac{1}{2}) .Substitute the given values,v = (0.5 * 10^{-2} m)(1 T)(1* 1.6 * 10^{-19} C)(2 * 1.67 * 10^{-27} kg)^(\frac{1}{2}) = 1.2 * 10^{6} m/s.

The kinetic energy of the deuteron is given by K = (1/2)mv²Substitute the given values,K = (\frac{1}{2})(2* 1.67 * 10^{-27} kg)(1.2 * 10^{6} m/s)² = 1.4 * 10^{-13} J.

Therefore, the deuteron must have a kinetic energy of 1.4 × 10^-13 J to circulate in the same circular path.

learn more about Kinetic  energy Refer: https://brainly.com/question/999862

#SPJ11

complete question: In a nuclear experiment a proton with kinetic energy 1.0MeV moves in a circular path in a uniform magnetic field. What energy must

(a) an alpha particle (q=+2e,m=4.0u) and

(b) a deuteron (q=+e,m=2.0u) have if they are to circulate in the same circular path?

Therefore, the mass of ball 2 is approximately 24.7 kg.

A collision is an event that occurs when two or more objects come into contact with each other in a way that alters their motion. In physics, collisions are studied in terms of the conservation of momentum and the conservation of kinetic energy. In an elastic collision, the total kinetic energy of the system is conserved, and the objects bounce off each other without any loss of energy. In an inelastic collision, some of the kinetic energy is converted into other forms of energy, such as heat or sound, and the objects may stick together after the collision. Collisions can be categorized into two types: head-on collisions and oblique collisions. In a head-on collision, the objects approach each other directly from opposite directions, while in an oblique collision, the objects approach each other at an angle. Collisions are an important concept in physics and have applications in fields such as engineering, transportation, and sports. Understanding the principles of collisions can help us design safer cars, improve the performance of athletic equipment, and develop new technologies for space exploration.

Here,

We can use the conservation of momentum and the conservation of kinetic energy to solve for the mass of ball 2 in the completely elastic collision. Using the conservation of momentum:

m1v1i + m2v2i = m1v1f + m2v2f

Substituting the known values:

(6.7 kg)(2.0 m/s) + m2(-5.0 m/s) = (6.7 kg)(-6.18 m/s) + m2(0.83 m/s)

Simplifying and solving for m2:

(13.4 - 33.9) kg·m/s = -44.006 kg·m/s + 0.83 m2

-20.5 kg·m/s = 0.83 m2

m2 = (-20.5 kg·m/s) / (0.83 m/s)

m2 ≈ 24.7 kg

To know more about collision,

https://brainly.com/question/6958526

#SPJ9

F = ma

= 10kg × 2m/s

= 20N

Answer : 20N

Explanation :

F = Force (N)

m = mass (kg)

a = acceleration (m/s)

The ray diagram that shows the emergent ray from the glass prism is shown.

A light ray that has crossed a boundary between two different transparent substances, such as air and water or air and glass, is referred to as a "emergent ray". Light can change direction when it comes into contact with an interface between two media having distinct optical characteristics, such as differing refractive indices. The light ray that continues on its route in the second medium after crossing the interface is known as an emergent ray.

Refraction, a phenomenon, is the cause of the emerging ray's shift in direction. Refraction happens because light moves through different materials at varying speeds, and when it comes into contact with a boundary at an angle, it bends or changes course.

Learn more about emergent ray:https://brainly.com/question/32762908

#SPJ1