hat is the width of a single slit thatproduces its first minimum atfor 600-nmlight? (b) find the wavelength of light that hasits first minimum at.

Answer: The red ball has a greater velocity than the purple ball

Explanation:

Given the chart :

Ball : Green - - - Red - - - Yellow - - - Purple

Mass : 0.5 - - - - - - 1.2 - - - - - 0.9 - - - - - - 1.7

The four balls have the same momentum

Momentum = mass × velocity

Since momentum is directly proportional to the product of Mass and velocity, and the balls have the same momentum. Therefore the lower the mass of the ball, the higher or greater it's Velocity.

Because if the balls with lower masses have lower Velocities than balls with higher masses, both balls cannot have the same momentum.

Therefore, the only viable option above is, The red ball has a greater velocity than the purple ball, because the red ball has a lower mass than the purple ball

Answer:

B in edg

Explanation:

Answer:

Yoyoyoyoyooyoyy

Explanation:

Yoyoyoyoyoyoyoyoyooy

Answer:

yoyoyoyoyoyooyoyoyoyoyyoyoy

(a) The force on the spring for each wheel of the given car is 6,000 N.

(b) The compression of each spring when the car rest on the ground is 15 cm.

The given parameters;

The force on the spring for each wheel of the given car is calculated as follows;

\(F = F_1 = F_2 = F_3 = F_4 = \frac{W}{4} \\\\F= \frac{24,000}{4} \\\\F = 6,000 \ N\)

The compression of each spring when the car rest on the ground is calculated as;

\(F= kx\\\\x = \frac{F}{k} \\\\x = \frac{6,000}{400} \\\\x = 15 \ cm\)

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Volume and mass The sun has a total volume of 1.4 x 10 28 cubic meters. According to NASA data, 1.3 million Earths might fit inside the sun.

How does physics define mass?

It is the most fundamental characteristic of matter and one of the basic quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilogram is the SI mass unit. (kg). A body's mass does not alter at any point in time. only in rare instances where a significant quantity of energy is supplied to or taken away from a body.

How is mass determined?

Mass can be calculated using the formula: mass = volume density. Weight serves as a gauge for gravitational force.

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Answer:

Organizational clothing.

Explanation:

An organizational clothing can be defined as the standard field uniform of the U.S Navy that is being loaned to a person (officer) by a naval activity and as such must be returned to the naval activity as soon as the person is transferred.

Basically, an organizational clothing is generally considered to be the property of the U.S Navy and should be sent to the regional or area naval coordinator.

Hence, when required to be returned to the issuing activity upon the individual's transfer, clothing loaned to an individual by a navy activity is referred to as organizational clothing.

Answer:

516m/s^2

Explanation:

Given the following :

Height of aircraft = 10000m

Acceleration due to gravity (g) = 10m/s^2

Angle of projection (θ) = 60°

Height of aircraft = maximum height

Maximum height of a projectile:

H = (u^2sin^2θ) / 2g

Where H = height

u = initial velocity

10000 = [(usinθ)^2] / 2g

10000 = [(u * sin60°) ^2] / 2*10

10000 = (0.866 * u)^2 / 20

20 * 10000 = 0.749956 * u^2

200000 = 0.749956u^2

u^2 = (200000/0.749956)

u^2 = 266,682.31

u = √266,682.31

u = 516.41292

Initial velocity (u) = 516m/s^2

Answer:

Neodymium (Nd)

Explanation:

An element is made up of atom, which contains three subatomic particles namely; proton, electron, and neutron. In a neutral atom, the number of protons determines the atomic number of that element and the atomic number of an element is the identity of that element in the periodic table.

Hence, a change in the proton number of an element means a change in the atomic number and ultimately a change of that element. In this question, Europium (Eu) element with atomic number, 63, loses three protons. This means that that atom now has 60 protons, which denotes the atomic number of another element called Neodymium (Nd).

Therefore, Europium (Eu) element has become Neodymium (Nd) due to loss of protons.

Her Speed at the end of  that time when moving from rest, with an acceleration of 3 m/s² for 3 seconds is 9 m/s.

Speed can be calculated by dividing distance to time.

To calculate the skier speed, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the skier speed is 9 m/s.

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The wavelength of a radio wave received at a frequency of 100 megahertz is 3 × 10-³m.

HOW TO CALCULATE WAVELENGTH:

λ = v/f

Where;

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Air drops fall vertically at 4.5 m/s relative to the earth, the observer in the car would measure the velocity of the raindrops as 26.5 m/s.

To determine the velocity of the raindrops as observed by an observer in a moving car, we need to consider the relative motion between the car and the raindrops.

Given:

Velocity of the raindrops relative to the Earth (v_rain) = 4.5 m/s

Velocity of the car (v_car) = 22.0 m/s

The velocity observed by the observer in the car is the vector sum of the velocity of the raindrops relative to the Earth and the velocity of the car.

Velocity observed by the observer (v_obs) = v_rain + v_car

v_obs = 4.5 m/s + 22.0 m/s

v_obs = 26.5 m/s

Therefore, the observer in the car would measure the velocity of the raindrops as 26.5 m/s.

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Answer:

Digital signals are a more reliable form of transmitting information because an error in the amplitude or frequency value would have to be very large in order to cause a jump to a different value. Signals are composed of infinite possible values. Signals are composed of only two possible values: 0 or 1.

Explanation:

A good bounce leads to a positive outcome or success, while a bad bounce results in a negative outcome or failure. The difference lies in the favorable or unfavorable impact on the situation or individual.

An example of a good bounce could be a basketball rebounding off the backboard and going directly into the hoop, resulting in a successful score. On the other hand, a bad bounce could be a soccer ball hitting a rough patch on the field and unexpectedly changing direction, causing the player to lose control and miss a pass.

To account for good bounces, individuals can take measures such as practicing proper technique, maintaining focus and concentration, and adapting to unpredictable circumstances. For example, in sports, athletes can improve their skills, anticipate potential bounces, and adjust their strategies accordingly. Additionally, understanding the environment or conditions in which the bounce occurs can help mitigate the impact of bad bounces. Being prepared, adaptable, and maintaining a positive mindset can increase the likelihood of experiencing good bounces and minimizing the effects of bad bounces.

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If the fuel mass of the spaceship is halved, the final speed the spaceship can reach would be 1,362.75 kg.  

If the fuel mass of the spaceship is halved to 1,000,000 kg, the final speed the spaceship can reach will be reduced to 43.6 km/s. This is because the fuel mass is used up to accelerate the spaceship to its final speed, and a smaller fuel mass means that the spaceship will not be able to achieve as much acceleration, resulting in a slower final speed.  

The propellant ejected from the spaceship has a speed of 23.5 km/s, and the fuel mass of the spaceship is reduced to 1,000,000 kg, which means that the total mass of the spaceship and the propellant ejected would be: 1,000,000 kg + 2,000,000 kg

= 3,000,000 kg.

The final speed of the spaceship can be calculated using the following formula:

Final speed = (1/2) x (3,000,000 kg x 23.5 km/s) - 1,000,000 kg

Final speed = (1/2) x (3,000,000 x 23.5 km/s) - 1,000,000 kg

Final speed = (3,000,000/2) x 23.5 km/s - 1,000,000 kg

Final speed = 11.75 x 23.5 km/s - 1,000,000 kg

Final speed = 267.75 km/s - 1,000,000 kg

Final speed = 1,362.75 kg

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Answer:

a.25J

Explanation:

m=0.5kg

g=10

h=5

potential energy=m×g×h

=0.5×10×5

=25J

Answer:

3.44 s

Explanation:

Given:

Δx = 45.8 m

v₀ = 19.8 m/s

a = -3.77 m/s²

Find: t

Δx = v₀ t + ½ at²

45.8 = 19.8 t + ½ (-3.77) t²

45.8 = 19.8 t − 1.885 t²

1.885 t² − 19.8 t + 45.8 = 0

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 19.8 ± √((-19.8)² − 4 (1.885) (45.8)) ] / 2(1.885)

t = [ 19.8 ± √(392.04 − 345.332) ] / 3.77

t = 3.44 or 7.06

The first time, 3.44 seconds, is correct.

The second time is the time it would take the car to return to 45.8 m if it continued decelerating after stopping.

The question involves electricity basics, specifically the relationship between power, voltage, current, and charge. The heating element in a toaster dissipates 900 watts of power when run at 120 volts. To determine how much charge passes through the heating element in 1.0 minute, we need to use the relationship between power, voltage, and current, which is given by the equation:P = IVwhere P is the power, V is the voltage, and I is the current. We can rearrange this equation to solve for the current:I = P / VSubstituting the given values, we get:I = 900 W / 120 V = 7.5 AThis means that the heating element is drawing a current of 7.5 amperes from the power source. To determine how much charge passes through the heating element in 1.0 minute, we can use the relationship between current and charge, which is given by the equation:Q = Itwhere Q is the charge, I is the current, and t is the time. Substituting the given values, we get:Q = (7.5 A) x (60 s) = 450 CTherefore, 450 coulombs of charge pass through the heating element in 1.0 minute. The coulomb is the SI unit of electric charge, and is defined as the amount of charge that passes through a conductor in one second when a current of one ampere is flowing.

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The amount of charge that passes through the heating element in 1.0 minute is determined by the current, which is the rate of the flow of charge.

The current can be determined through the equation I = P/V, where P is the power (900 W in this case) and V is the voltage (120 V in this case). Thus, the current is 7.5 A.

Since charge (Q) is equal to current (I) multiplied by time (t), we can calculate the amount of charge that passes through the heating element in 1.0 minute by multiplying 7.5 A by 1.0 min, which is equal to 7.5 C. Thus, 7.5 C of charge passes through the heating element in 1.0 minute when the toaster is run at 120 V and dissipates 900 W.

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As the diameter of the wire approaches to zero, the resisitance approaches  infinity.

Electrical resistance is the physical capacity of any body to oppose the flow of electric current even when there is an applied potential difference, capacity calculated by Ohm's First Law, and, according to the International System of Units (IS), is measured in ohms.

With that being said, and knonwing that:

R = Resistance; p = Resistivity; L = Length; d = Diameter

It is possible to calculate the resistance of the wire by:

\(R = p\frac{L}{A}\)

Where A is calculated by:

\(A = \frac{\pi d^{2} }{4}\)

Changing in the first formula:

\(R = p\frac{L}{\pi d^{2} } \\\\R = p\frac{4L}{\pi d^{2} }\)

Knowing that when the diameter tends to zero resistance tends to infinity, it is possible to say that resistance of the wire will tend to infinity when the diameter approaches zero.

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Answer:

The resistance approaches infinity.

Explanation:

100% Correct

The similarities and differences between chemical and nuclear energy sources includes the origin of their existence and the problem of waste production respectively.

The differences between the sources of chemical energy and nuclear energy are,

• The sources of chemical energy includes batteries Biomass, Petroleum, natural gas and coal etc.

• On the other hand, sources of nuclear energy includes radioactive materials like uranium and plutonium.

The similarities between the sources of chemical energy and nuclear energy are,

Both the chemical energy sources and the nuclear energy sources are present in Limited amount.

Substances like uranium, plutonium, natural gas petroleum are not reusable.

Also, both the sources produces a great threat for the environment.

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The magnitude of the motional emf in the rod is 0.1872 when an isolated conducting rod of length 8.00 cm is oriented parallel to the x-axis. The speed of rod in y-direction is 3.90m/s.

Given an isolated conducting rod of length (l) = 8.00 cm = 8x10-2m

it moves in the y-direction at (v) = 3.90 m/s

uniform magnetic field of magnitude (B)= 0.600T

Let the magnitude of the motional emf in the rod be E

We know that E = BxlxV

E = 0.600T x 3.90m/s x 8x10-2m = 18.72x10-2

Hence the magnitude of the motional emf in the rod is 0.1872

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Answer:

b. A steel paper clip near a magnet

Explanation:

A steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.

A magnetic domain is a part or region within a magnetic substance in which the magnetization is present in a uniform direction.

So we can conclude that a steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.

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The position of the ball attached to the unforced spring with a damping force of 6 times velocity is given by the function \(x(t) = e^{-3}t (sin3t)\). The system is overdamped, and the maximum displacement from equilibrium is 0.1573 meters.

a) Solve for the position of the ball.

The equation of motion of the ball attached to the unforced spring with damping force of 6 times velocity can be written as, \(m(d^{2}x/dt^{2}) + 6(dx/dt) + kx = 0\)

The given values are,

As we are supposed to find the position of the ball, we will solve the differential equation by assuming the position x as the solution and by integrating the given equation two times.

\(m\left(\frac{{d^2x}}{{dt^2}}\right) + 6\left(\frac{{dx}}{{dt}}\right) + kx = 0\)

This is the standard form of a second order homogeneous linear differential equation. The characteristic equation of this differential equation is, \(m^{2} r^{2} + 6mr + k = 0\)

Solving the above quadratic equation, we get, \(r = -3 \pm \sqrt{9 - \frac{4k}{m^2}} / 2m\)

Here, \(k/m = 9/1 = 9\). So, \(r = -3 \pm \sqrt{9 - 36} / 2 = -3 \pm 3i\)

From the above values of r, we can say that the general solution of the differential equation is, \(x(t) = e^{-3t}(C_1\cos(3t) + C_2\sin(3t))\)

Let's find the values of constants C1 and C2 using the initial values of the ball position and velocity.

At

So,

Substituting these values in the general solution of \(x(t),x(t) = e^{-3}t (sin3t)\)

Therefore, the position of the ball as a function of time is given by, \(x(t) = e^{-3}t (sin3t)\).

b) The damping force in the given equation is, b = 6 times the velocity.Since the damping force is greater than the critical damping force \((2\sqrt{m \cdot k})\), the given spring is overdamped.

c) Show that the maximum displacement of the ball from equilibrium is a az meters. To find the maximum displacement of the ball from equilibrium, we can differentiate the position function with respect to time and equate it to zero.

d). \((x(t)) / dt = e^{-3}t (3cos3t - sin3t)\)

When the above derivative of the position function is zero, the position of the ball is at the maximum or minimum from the equilibrium.

Substituting the values of t in the above equation, we get,cos3t = sin3t

Therefore, \(\tan(3t) = 1 \quad t = \frac{\pi}{12}, \frac{5\pi}{12}, \frac{9\pi}{12}, \frac{13\pi}{12}, \frac{17\pi}{12}, \ldots \quad \text{For } t = \frac{\pi}{12}\), the position of the ball is at maximum from equilibrium.

Substituting this value in the position function,\(x(t) = e^{-3t} \sin(3t) \quad x\left(\frac{\pi}{12}\right) = e^{-3\left(\frac{\pi}{12}\right)} \sin\left(\frac{\pi}{4}\right) = 0.1573 \, \text{m}\)

Therefore, the maximum displacement of the ball from equilibrium is \(0.1573\) meters.

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Answer:

When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it.

Jupiter radiates more heat than it receives from the Sun.

Jupiter is a gas giant planet and does not have a solid surface to absorb and retain heat like the Earth. Instead, Jupiter's atmosphere absorbs and then re-radiates the energy it receives from the Sun. However, due to its large size and distance from the Sun, Jupiter receives much less solar radiation per unit area than the Earth does.

Despite this, observations show that Jupiter radiates about 1.6 times more heat than it receives from the Sun. This excess heat is generated by gravitational contraction, as the planet slowly shrinks due to its own gravity. As Jupiter contracts, gravitational potential energy is converted into heat, which is then radiated away into space.

This excess heat is also responsible for Jupiter's intense atmospheric dynamics, including its distinctive belts and zones, powerful storms, and the Great Red Spot.

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The absorption of energy occurs in endothermic reactions. The correct option is D.

The type of chemical reaction that results in the absorption of energy is endothermic. In an endothermic reaction, energy is absorbed from the surroundings, resulting in an increase in the internal energy of the system.

This means that the products of the reaction have more energy than the reactants, and the reaction requires an input of energy to proceed.

Examples of endothermic reactions include the reaction of baking soda and vinegar, the melting of ice, and the reaction of ammonium nitrate and water.

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The displacement current between the plates of the capacitor is will be equal to the rate of change of the voltage across the capacitor at this instant.

The displacement current between the plates of the capacitor is given by = I

= C*dV/dt,

Here C representing capacitance,

V is the voltage across the capacitor,

and dt is the time change in voltage.

At the instant when the switch closes the circuit, the voltage across the capacitor will begin to change as the capacitor discharges through the resistor. The displacement current will be equal to the rate of change of the voltage across the capacitor at this instant.

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Answer: 0.99m left

Explanation:

The formula:

Distance / Time = Rate

Fill in the formula

Distance / 0.55s = 1.8 m/s

Multiply both sides by 0.55s

Distance = 0.99m

Displacement = 0.99m to the left.

Answer:

-0.99 (See attached)

Explanation:

(See attached)

Answer:

Some of the disadvantages are: The normal design of a belt conveyor is opened. If your product needs to be contained, covers and or drip pans can become expensive and cumbersome. If the material is sticky, belt cleaning can be difficult and generally not very successful.

Explanation:

The magnitude of the electric force between two charged objects can be calculated using Coulomb's Law. Coulomb's Law states that the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Let's denote the charge of Object A as q1 = -3μC, the charge of Object B as q2 = +1μC, and the distance between them as r = 0.30 meters.

The formula for the magnitude of the electric force (F) is given by:

F = k * |q1 * q2| / r^2

where k is the electrostatic constant, approximately equal to 9 × 10^9 N·m^2/C^2.

Substituting the given values into the formula, we have:

F = (9 × 10^9 N·m^2/C^2) * |-3μC * +1μC| / (0.30m)^2

Simplifying the expression, we get:

F = (9 × 10^9 N·m^2/C^2) * (3μC * 1μC) / (0.30m)^2

Converting the charges to coulombs and simplifying further, we have:

F = (9 × 10^9 N·m^2/C^2) * (3 × 10^(-6) C * 1 × 10^(-6) C) / (0.30m)^2

Calculating the expression, we find:

F = 9 × 3 × 1 / (0.30)^2 N

Simplifying further, we obtain:

F = 9 N

Therefore, the magnitude of the electric force between Object A and Object B, when they are 0.30 meters away from each other, is 9 Newtons.

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The gravitational force of a star on planet 2 orbiting it is half that of planet 1.

Newton's gravitational law formula for gravitational force between two objects

\(F = G \frac{M \: m}{r^2}\)

Given

Compare the gravitational force on two condition.

\(\frac{f1}{f2} = \frac{G \frac{M \: m_1}{r_1^2}}{G \frac{M \: m_2}{r_2^2}}\)

\(\frac{f1}{f2} = \frac{\frac{m_1}{r_1^2}}{\frac{m_2}{r_2^2}}\)

\(\frac{f1}{f2} = \frac{m_1 \: r_2^2}{m_2 \: r_1^2}\)

\(\frac{f1}{f2} = \frac{m_1 \: (2r_1)^2}{2m_1 \: r_1^2}\)

\(\frac{f1}{f2} = \frac{4r_1^2}{2r_1^2}\)

\(\frac{f1}{f2} = \frac{2}{1}\)

The ratio of gravitational force f1 : f2 = 2 : 1

2f2 = f1

\(f2 = \frac{f1}{2}\)

\(f2 = \frac{1}{2} f1\)

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