Two particles, each of mass m, are moving with velocity -v and 2v. The kinetic energy at the center of mass is? A. (1/2) mv^2 B. mv^2 C. (1/4)mv^2 D. 4mv^2

The fringe occurs at an angle of approximately 0.0449 radians.

The angle at which the fringe that is most distant from the central bright fringe occurs can be determined using the formula:

θ = λ / d,

where θ is the angle, λ is the wavelength of the light, and d is the separation between the slits.

Substituting the given values into the formula, we have:

θ = (589 nm) / (0.0131 mm)

= (589 x 10⁻⁹ m) / (0.0131 x 10⁻³ m)

= 0.0449 radians.

Therefore, the fringe that is most distant from the central bright fringe will occur at an angle of approximately 0.0449 radians relative to the original direction of the beam.

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Answer:

c

Explanation:

An object's speed is the characteristic which is related to kinetic energy but not the potential energy. Thus, the correct option is C.

The kinetic energy of an object is the energy which it possesses due to the motion of the object. Kinetic energy is defined as the work which is needed to accelerate an object of a given mass from rest position to its stated velocity. Having gained this amount of energy during the acceleration of the object, the object maintains this kinetic energy unless its speed changes or it experiences acceleration.

Kinetic energy is directly proportional to the mass of the object and to the square of the velocity of the object, the expression is:

K.E. = 1/2 m × v²

where, KE = Kinetic energy,

m = mass of the object,

v = velocity of the object.

Therefore, the correct option is C.

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Coal, and oil are fossil fuels they are non - renewable. Nuclear sources are alo non renewable energy since they are unstable and hazardous to the environment and thus are difficult to manage for an efficient energy generation.

Renewable energy sources are those which can reproduced and will be long lasting over time. Whereas non renewable resources like fossil fuels  and nuclear sources are not at all recycled. Moreover they causes harmful effects to the environment.

Waste from coal or natural gas production necessitates the use of surplus energy and environmental mitigation. Considering these variables, it is evident that coal's overall usable energy efficiency is just 29% of its initial energy value.

Solar energy is the better alternative as a renewable energy source.Wind, on the other hand, rates at 50% efficiency. Wind energy sometimes has a higher efficiency than this %. And using wind energy doesn't produce any pollution as solar energy.

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Answer:

The angular velocity after the children jump off is approximately 1.4 rad/s

Explanation:

The given parameters are;

The masses of each child, m₁, and m₂ = 60 kg

The mass of the merry-go-round, m₃ = 140 kg

The initial angular velocity, \(\omega_i\) = 0.75 rad/s

The angular velocity after the children jump off = \(\omega_f\)  

According to the principle of conservation of angular momentum

The angular momentum = I × ω

The moment of inertia, I = m × R²

The total initial angular momentum = \(I_i \times \omega_i = m_i \times R^2 \times \omega_i\)

The total angular momentum after the children jump off = \(I_f \times \omega_f = m_f \times R^2 \times \omega_f\)

The initial mass, \(m_i\) = m₁ + m₂ + m₃ = 60 kg + 60 kg + 140 kg = 260 kg

The final mass, \(m_f\) = m₃ = 140 kg

According to the principle of conservation of linear momentum, we have;

\(I_i \times \omega_i\) = \(I_f \times \omega_f\)

Therefore;

260 kg × R² × 0.75 rad/s = 140 kg × R² × \(\omega_f\)

∴ \(\omega _f\) = (260 kg × R² × 0.75 rad/s)/(140 kg × R²) = 1.39285714 rad/s. ≈ 1.4 rad/s

The angular velocity after the children jump off, \(\omega _f\) ≈ 1.4 rad/s.

Answer:

At 820 K, the object lose heat at the rate of 0.072 J/min.

Explanation:

By using Newton's cooling law, the formula to calculate the rate of cooling R is,

R=-k(T-To)

where k is a constant, T is the temperature of the object and To is the temperature of the surrounding.

At T=950 K, R=0.15 J/min and To=700 K,

Therefore, 0.15=-k(950-700)

k=0.15/250 J/K min.

At T=820 K,

R=-(0.15 / 250)*(820-700)

R=-0.072 J/min

Therefore the rate of heat loss at T=820 K is 0.072 J/min.

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Answer:

velocity = 2m/s

using v=fΠ

convert 100 CM to m

Answer:

200 cm per second

Explanation:

The equation for wave velocity=wavelength x frequency, since the wavelength is 100 and the frequency is two, the equation would be 100 x 2, which equals 200. Therefore, the correct answer is 200 cm per second.

Answer: The amplitude is 0. (assuming that the amplitude ot both initial waves is the same)

Explanation:

When two monochromatic light waves of the same wavelength and same amplitude undergo destructive interference, means that the peak of one of the waves coincides with the trough of the other, so the waves "cancel" each other in that point in space.

Then if two light waves undergo destructive interference, the amplitude of the resultant wave in that particular point is 0.

Answer:

No, the resulting wave in the diagram does not demonstrate destructive interference. The resulting wave in the diagram shows a bigger wave than Wave 1 or Wave 2. If it demonstrated destructive interference, it would be a smaller wave or a horizontal line. With destructive interference, waves break down to form a smaller wave, or cancel each other out, resulting in no wave formation.

Explanation:

edge

The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A

The work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).

The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:

T = Y * (ΔL / L)

where Y is the Young's modulus of the material of the wire.

Now, let's calculate the work done to stretch the wire:

dW = T * dL

Integrating this expression from L to L + ΔL:

W = ∫ T * dL = ∫ Y * (ΔL / L) * dL

W = Y * ΔL * ∫ (dL / L)

W = Y * ΔL * ln(L) + C

Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.

Finally, the expression for the energy stored in the wire (E) is:

E = W = Y * ΔL * ln(L)

or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:

E = Y * e * ln(L) * A

Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:

E = Y * e * ln(L) * A

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Answer:

Relative to the ground, the velocity of the aircraft is 240 km/hr

Explanation:

Relative velocity is different from normal velocity;

When 2 objects are moving in opposite directions towards each other, they will appear to be faster than they actually are;

This is known as the relative velocity;

The information tells us we have the aircraft moving 320 km/hr northwards relative to the wind;

The wind is in the opposite direction at 80 km/hr;

R = relative velocity of the aircraft

v = actual velocity of the aircraft

w = velocity of the wind

R = v + w

Note: if the wind was moving in the same direction, the formula would be R = v - w

320 = v + 80

v = 320 - 80

v = 240

The velocity relative to the ground is simply the actual velocity as the ground doesn't move;

So, relative to the ground, the velocity of the aircraft is simply 240 km/hr

Answer:

Can't see the pic

Explanation:

Answer:

A radiator emitting warm air and drawing in cool air is an example of convection current

Explanation:

I am guessing you meant "A radiator emitting warm air and drawing in cool air'

Answer:

A radiator emitting warm air and drawing in cool air

Explanation:

Answer:

If the boat is going 36 km/h, then it will take about 5.8 hours to travel a distance of 210 km/h.

Explanation:

To calculate time, you have to divide the distance by the speed.

In this case, we take 210 and divide it by 36. The answer you will get is 5.83...

Time = (distance) / (speed)

Time = (210 km) / (36 km/hr)

Time = 5.833 hours

Time = 5 hours 50 minutes

Radioactive tritium (3H) labeled guanine is indeed used to measure the rate of biochemical processes that involve its binding or incorporation.

In this context, the best site for tritium labeling would be at the C8 position of the guanine molecule. This is because the C8 position is less likely to undergo exchange with the solvent (water) and maintains the integrity of the labeled guanine throughout the experiment. The best site for tritium labeling in this type of experiment would be the 8th position of the guanine molecule. This is because the 8th position is involved in biochemical processes such as base-pairing and is also solvent-accessible, allowing for efficient incorporation of the radioactive tritium.

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The smallest detail observable with a microscope using green light of frequency 5.83×10^14 Hz is approximately 516 nm.

The size of the smallest observable detail in a microscope is related to the wavelength of the light used. The relationship between wavelength and the resolving power of a microscope is described by the Rayleigh criterion.

According to this criterion, the smallest resolvable detail is approximately equal to the wavelength of the light divided by two times the numerical aperture of the microscope.

For green light with a frequency of 5.83×10^14 Hz, the corresponding wavelength is approximately 516 nm (nanometers). This means that the smallest detail that can be resolved by the microscope using this green light has a size of around 516 nm.

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Repeating the experiment multiple times and averaging the results can help reduce measurement errors and improve accuracy.

Acceleration is a physical quantity that describes the rate at which the velocity of an object changes over time. If an object is moving in a straight line, acceleration can be positive or negative depending on whether the object is speeding up or slowing down. If the object is turning or changing direction, acceleration is not only a change in speed but also a change in direction.

The most common formula to calculate acceleration is \(a = (v_f - v_i) / t,\)where "a" is acceleration, "\(v_f\)" is the final velocity of the object, "\(v_i\)" is the initial velocity of the object, and "t" is the time interval during which the velocity changes.

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Wonderland is in the UTC+2 time zone. This time zone is two hours ahead of UTC (Coordinated Universal Time). In this time zone, the sun rises and sets two hours later than it does in UTC.

When it comes to developing more on this topic, it's important to consider the effects that this time zone has on local businesses, communities, and daily life. For example, due to the late sunrise and sunset, many locals may find it difficult to adjust to the longer days and shorter nights.

Additionally, the time zone can have an effect on business operations, as well as the types of activities that people can participate in. It's also important to consider how the time zone affects communications with people in other time zones, as a two-hour time difference can make it difficult to coordinate meetings and other activities.

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Answer:

100 miles per hour

Explanation:

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.

Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).

The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.

Maximum speed is at equilibrium where:

F = kx ⇒x =F/k

Now, F x=1/2mv²+1/2kx²

Solving we get,

V=F/√mk=Vmax

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The space probe will have the highest speed on Neptune.

The final speed of the space probe in each of the planet is calculated by applying the following kinematic equation as shown below.

v = u + gt

where;

For equal time of fall, the final speed of the space probe increases with increase in the acceleration due to gravity on each planet.

Thus, the planet with the largest acceleration due to gravity will cause the greatest speed of the space probe.

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To calculate the experimental gravitational acceleration from the average (mean) time of fall, we can use the equation:

g = (2h) / (t^2)

Where:

g is the gravitational acceleration,

h is the height from which the object is dropped, and

t is the average time of fall.

Let's assume that the height from which the object is dropped is h = 1 meter and the average time of fall is t = 2 seconds.

Substituting these values into the equation, we have:

g = (2 * 1) / (2^2)

g = 2 / 4

g = 0.5 m/s^2

Therefore, the experimental gravitational acceleration calculated from the average time of fall is approximately 0.5 m/s^2.

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Answer:

When we burn wood we are releasing solar energy, in the form of heat, that has been stored in the wood as chemical energy. The process of photosynthesis converted solar energy, water and carbon dioxide into oxygen and the organic molecules that form the wood, half the weight of which is carbon.

Explanation:

The charge on the sphere is found to be 1.5 x 10⁻¹⁵ C.

The proton is orbiting the surface of the charged sphere of radius 4.43 cm and the speed of the proton is 3.22 x 10⁵m/s. The charge on proton is 1.6 x 10⁻¹⁹ C and the mass of the proton is 1.67 x 10⁻²⁷ kg.

Now,

For revolving,

Electrostatic forces = Centripetal force

KQq/r² = Mv²/r

Here,

R is the radius of the orbit,

Q and q are the charges of the sphere and the proton,

M is the mass of the proton.

Putting values,

9 x 10⁹ x Q x 1.6 x 10⁻¹⁹/0.0443 = 1.67 x 10⁻²⁷ x 3.22 x 10⁵

Q = 1.5 x 10⁻¹⁵ C

So, the charge on the sphere is 1.5 x 10⁻¹⁵ C.

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We have that the cricket’s displacement is  

\(D_t=9meters\)

From the Question we are told that

Start position  5 meter mark

It jumps to the 10 meter mark.

it jumps back to the 6 meter mark.

Generally the equation for cricket’s displacement. is mathematically given as

\(D_t=Initial +final(displacement)\\\\D_t=(10-5)+(10-6)\)

\(D_t=9meters\)

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An unbalanced equation is a chemical equation in which the total number of atoms of each element on the reactant side is not equal to the number of atoms of the same element on the product side. This equation is also called a skeletal equation.

Hope it helps

Have a good day :)

Answer:

786.2m/s²

Explanation:

Given parameters:

Force  = 114N

Mass  = 0.145kg

Unknown:

Acceleration of the baseball  = ?

Solution:

According to newton's second law of motion, the product of mass and acceleration is the net force on the body;

   Force  = mass x acceleration

Insert the parameters and find the acceleration;

    114  = 0.145 x acceleration

   Acceleration  = \(\frac{114}{0.145}\) = 786.2m/s²

Answer:

v = 1.98 mph

Explanation:

Given that,

Speed to travel one mile is 100 mph

Speed to travel another mile is 1 mph

The formula used to find your average speed is given by :

\(v=\dfrac{2v_1v_2}{v_1+v_2}\)

Putting the values, we get :

\(v=\dfrac{2\times 100\times 1}{100+1}\)

v = 1.98 mph

So, yours average speed is 1.98 mph.

Answer:

B

In my opinion. :)

Explanation: