10. What is the maximum wavelength of light that is required to produce an electron-positron pair?

The lawn mover is exerting a force of 30 N on the man.

Given, a man weighing 60 kg is moving a 30 kg lawnmower.

Thus, the lawnmower's force is calculated as 30N - 60N = -30N.

A force is something that pushes or pulls an object. The objects' interactions with one another are what causes push and pull. Force can also be expressed using words like stretch and squeeze.

Force is an external agent that has the power to alter a body's resting or moving state. It has a size and a movement.

The direction of the force is referred to as the force's direction, and the application of force is the point at which the force is applied.

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Answer:

it yields a derived unit known as Newton, which is the unit of Force.

Explanation:

The formula for force is given by Newton's Second Law, which states that whenever an unbalanced force is applied to a body, it produces an acceleration in the body in the direction of force.

\(F = ma\\\)

where, F = Force

m = mass

a = acceleration

Now, we substitute the respective S.I units of each quantity in equation:

F = Newton (N)

m = kilogram (kg)

a = acceleration = m/s²

Therefore,

\(N = (kg)(m/s^2)\)

So, it is clear from above expression that:

When kilogram is multiplied by meter per second squared, it yields a derived unit known as Newton, which is the unit of Force.

To determine the net force required to accelerate a 20-kg object at 6.0 m/s² on the moon, we need to consider the acceleration due to gravity on the moon and the object's mass.

The acceleration due to gravity on the moon is one-sixth that on Earth. Since the acceleration due to gravity on Earth is approximately 9.81 m/s², the acceleration due to gravity on the moon is (1/6) * 9.81 m/s² ≈ 1.63 m/s².

Now, we can use Newton's second law of motion, F = m * a, to find the net force required for the given acceleration on the moon. Here, m = 20 kg (mass of the object) and a = 6.0 m/s² (desired acceleration).

Net force (F) = 20 kg * 6.0 m/s² = 120 N.

So, the net force required to accelerate a 20-kg object at 6.0 m/s² on the moon is 120 N.

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Answer:

The speed of the Porsche =  180 km/h

The speed of the Ferrari =  200 km/h

Explanation:

The distance of one lap = 2 km

The distance the Ferrari laps the Porsche = 9 laps

The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps

Let the speed of the Ferrari = S\(_F\), the speed of the Porsche = S\(_P\), and the time that lapse before two cars lapped = t

we have;

S\(_F\) × t₁ - S\(_P\) × t = 2 km

S\(_P\) × t₁ = 9 laps × 2 km/lap = 18 km

S\(_P\) × t₁ = 18 km

S\(_F\) × t₁ =  2 km + S\(_P\) × t = 2 km + 18 km = 20 km

S\(_F\) × t₁ =  20 km

∴

Similarly, we are given that the following relation;

(S\(_F\) - 10) × t₂ - S\(_P\) × t₂ = 2 km...(2)

From which we have;

S\(_P\) × t₂ = 18 laps × 2 km/lap = 36 km

S\(_P\) × t₂ = 36 km

(S\(_F\) - 10) × t₂ = 2 km + 36 km = 38 km

(S\(_F\) - 10) × t₂ = 38 km

Therefore, given that S\(_P\) × t₂ (36 km) = 2 × S\(_P\) × t₁ (18 km), we have;

S\(_P\) × t₂ = 2 × S\(_P\) × t₁

t₂ = 2×t₁

Equation (2) becomes;

(S\(_F\) - 10) × 2×t₁ - S\(_P\) × 2×t₁ = 2 km...(2)

From which we have;

(S\(_F\) - 10) × 2×t₁  = 38 km

(S\(_F\) - 10) × 2×t₁  = 38 km

2 × t₁ × S\(_F\) - 2 × t₁ × 10 = 38 km

∵ S\(_F\) × t₁ =  20 km, we have;

2 × 20 km - 2 × t₁ × 10 = 38 km

2 × t₁ × 10 = 2 × 20 km - 38 km = 2 km

20 × t₁ = 2 km

t₁ = 2/20 = 0.1 hour = 6 minutes

Therefore, we have;

S\(_P\) × t₁ = 18 km

S\(_P\) × 0.1 h = 18 km

S\(_P\)  = 18 km/0.1 h = 180 km/h

The speed of the Porsche = S\(_P\) = 180 km/h

S\(_F\) × t₁ =  20 km

S\(_F\) × 0.1 h =  20 km

S\(_F\)  =  20 km/0.1 h = 200 km/h

The speed of the Ferrari = S\(_F\) = 200 km/h

Answer: .0508 m

Explanation:

f1= v/2L

= (425)/2(4186) = .05076

= .0508

The highest note on a piano is 4186 Hz Of strings with v = 425 m/s are used then the piano string be  5.076 cm.

Wavelength can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.It is the total length of the wave for which it completes one cycle.

For the given problem the highest note on the piano is 4186 Hz of string and velocity of the wave equal to 425 m/s are used

The Length of the string of piano is calculated by the formula as follows

L = v/2f

where L is the length of piano string

V is the velocity of the sound wave

f is the frequency of the sound waves

By substituting the respective values of velocity and frequency in the above formula

L= 425/2*4186

L= 0.0507 meter

L = 5.07 cm

Thus,the length of the piano string comes out to be 5.076 cm when the highest note on the piano is 4186 Hz of string with velocity 425 m/s are used.

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Answer:

The light rays bounce off the table and all move in the same direction is answer.

Explanation:

I hope it's helpful!

Answer:

A. The light rays bounce off the table and all move in the same direction.

Explanation:

Answer:

It is C the units and D

Explanation:

18.)C

19.)D

We are given that:

We need to find:

Using equations of motion:

➙ v² - u² = 2as

➙ v = u + at

here,

From the given information, we can conclude that:

Now, using equation of motion:

➝ v = u + at

➝ v = 0 + ( 8 × 1.5 )

➝ v = 0 + 12 .0

➝ v = 12 m/s

For, acceleration :

➝ v² - u² = 2as

➝ ( 12 )² - ( 0 )² = 2 × 8 × s

➝ 144 - 0 = 16s

➝ 16 s = 144

➝ s = 144 / 16

➝ s = 9m

\( \dag\) Since, we take displacement in terms of distance in some places, therefore we can say that the height from which the object was dropped is 9 meters .

Answer:

well..

Explanation:

Liquid can flow but solid cannot because of differences in their properties

property of liquid which lets it flow:

property of solid which tends to obstruct flow:

Hope this helps!

Answer:

2m/s

Explanation:

speed = distance÷time

speed =90÷45=2m/s

\(\\ \rm\rightarrowtail \nu=\dfrac{1}{T}\)

\(\\ \rm\rightarrowtail T=\dfrac{1}{\nu}\)

\(\\ \rm\rightarrowtail T=\dfrac{1}{60}\)

\(\\ \rm\rightarrowtail T=1.67\times 10^{-4}s\)

\(\\ \rm\rightarrowtail T=16.7\times 10^{-3}s\)

\(\\ \rm\rightarrowtail T=16.7ms\)

Answer:

How much you pay in taxes depends on the amount of your taxable income

Explanation:

The total amount expected to be payed as taxes is a factor of the amount of taxable income earned within the given tax period.

The taxable income is found by subtracting the amount of deductions and exemption allowed in the tax year from the gross income. It is also specified as the adjusted gross income

The set marginal  tax rate indicates the percentage of the taxable income that is to be paid as taxes, such that there are three different ranges or tax brackets and taxes are paid according to the bracket to which a taxable income belongs.

Answer:

Photosynthesis is the process of using water, carbon dioxide and sunlight to produce sugar. The process of photosynthesis requires specialized cellular structures called chloroplasts to capture energy from the Sun and converted into chemical energy.

Explanation:

a)The aperture size of the radio telescope needs to be approximately 0.27 meters b)The aperture of a radio telescope needs to be much larger than that of an optical telescope because radio waves have much longer wavelengths compared to visible light. c)the resolving power of a telescope depends on the ratio of the wavelength of light.

a. To determine the aperture size of a radio telescope to achieve a resolution at 21 cm, we can use the Rayleigh criterion, which states that the minimum resolvable separation (δθ) is given by:

δθ = 1.22 * (λ / D)

Where λ is the wavelength of the radiation and D is the diameter of the telescope's aperture.

Given that the radio wavelength is 21 cm (or 0.21 m), and we want to achieve the same resolution as the optical telescope (1 second of arc), we can rearrange the formula to solve for D:

D = 1.22 * (λ / δθ)

D = 1.22 * (0.21 m / 1 second of arc)

Calculating the result:

D ≈ 0.27 m

Therefore, the aperture size of the radio telescope needs to be approximately 0.27 meters to achieve a resolution of 1 second of arc at a wavelength of 21 cm.

b. The Rayleigh criterion tells us that the resolution of an instrument is inversely proportional to the wavelength.

Since radio waves have longer wavelengths, the telescope's aperture needs to be larger to achieve the same resolution as an optical telescope. This is because a larger aperture collects more incoming waves and allows for finer spatial detail to be resolved.

c. The ability to resolve two objects using a telescope depends on the size of the aperture relative to the wavelength of the radiation. When it comes to resolving stars, the resolving power of a telescope depends on the ratio of the wavelength of light to the size of the telescope's aperture (λ/D).

Blue light has a shorter wavelength compared to red light. Since the resolving power is directly proportional to the wavelength, a shorter wavelength of blue light allows for better resolution.

Therefore, two predominantly blue stars can be resolved because their shorter wavelength allows for finer detail to be distinguished, while the same separation between two predominantly red stars cannot be resolved due to the longer wavelength.

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The claim that metals are superior to non-metals in terms of heat and electrical conductivity is true.

Electrochemistry is the study of chemical processes that move electrons. It deals with the interactions between electromagnetic oil and power transformation. Example: The investigation of electrochemical cells is a part of electrochemistry. It involves cells that convert energy into electrical energy.

Electrochemistry has many common applications in daily life. All sorts are batteries, among them those that power lamps, calculators, and automobiles, primarily generate electricity through biochemical reactions. Plating objects with decorative metals like gold or chromium requires electricity.

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Answer:

Explanation:

time= distance/speed

20km/ 15km/h

= 1 1/3 hours (4/3 in mixed fraction)

Answer:

^ correct

Explanation:

Option A on edge 2020

Currently, the rocket is composed of two stages, each of which has a mass of 100 kg at empty, 400 kg of fuel, and an exhaust speed of 2700 m/s. Top speed of the second stage will be lower than the exhaust speed of the rocket.

The top speed of the second stage of the rocket can be calculated using the rocket equation, which is given by:

= vmax

= veln(m0/(m0-mdott))

where ve is the exhaust speed, m0 is the initial mass of the rocket (including both the empty mass and the fuel mass), mdot is the mass flow rate of the fuel, and t is the burn time of the rocket.

In this case, the initial mass of the first stage is 100 kg + 400 kg = 500 kg, and the initial mass of the second stage is 100 kg + 400 kg = 500 kg. The mass flow rate of the fuel for both stages is the same, and the burn time for each stage is the same as well. Therefore, the top speed of the second stage can be calculated by substituting these values into the rocket equation:

= vmax

= 2700 m/s * ln(500 kg/(500 kg - 400 kg*t))

The top speed of the second stage will be lower than the exhaust speed of the rocket, because the rocket is not starting from rest and there is some kinetic energy carried over from the first stage. The exact value of the top speed will depend on the burn time of the rocket.

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Answer:

The arrow of the second archer standing on a high building will have more potential energy.

The arrow of the first archer standing on ground will have more kinetic energy.

Explanation:

POTENTIAL ENERGY:

The potential energy of an object depends upon its height, as given in the formula:

P.E = mgh

Hence, the arrow with the greater height will have more potential energy.

Therefore, the arrow of the second archer standing on a high building will have more potential energy.

KINETIC ENERGY:

The kinetic energy of an object depends upon its speed, as given in the formula:

K.E = (1/2)mv²

Hence, the arrow with the greater speed will have more kinetic energy energy. Since, the second arrow is stationary, it will have zero kinetic energy. But, the first arrow will have some K.E due to its speed.

Therefore, the arrow of the first archer standing on ground will have more kinetic energy.

(a)  The second archer standing at the top of the building will have more potential energy.

(b) The first archer on the ground level will have the more kinetic energy.

The potential energy of an object is the energy possessed by the object by virtue its position above above the ground.

P.E = mgh

where;

Thus, the second archer standing at the top of the building will have more potential energy.

(b) The kinetic energy of an object is the energy possessed by the object due to its motion.

K.E = ¹/₂mv²

where;

An object in motion, has zero velocity at maximum height but maximum velocity on the ground level.

Thus, the first archer on the ground level will have the more kinetic energy.

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Answer:

1.Magnetic Force - Used in cranes to separate metal junk from junkyards.

2.Frictional Force- Helps us to walk.

This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.

When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.

In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.

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The correct statement of Newton's Second Law is: An object's acceleration is inversely proportional to its mass and proportional to the net force acting on it.

Newton's Second Law of Motion states that the force acting on an object is directly proportional to the mass of the object and its acceleration. In other words, the greater the force applied to an object, the greater its acceleration, and the greater the object's mass, the less it will accelerate for a given force.

This law is often expressed mathematically as F = ma, where F is the force applied to an object, m is the object's mass, and a is its acceleration.

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Answer: (a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page.

(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.

(a) The magnitude of the magnetic field at a point midway between the two wires is 1.20 × 10⁻⁵ T and the direction of the magnetic field is out of the page.  Between two parallel current-carrying wires, the magnetic field has a direction that is perpendicular to both the direction of current flow and the direction that connects the two wires.

According to the right-hand rule, we can figure out the direction of the magnetic field. The right-hand rule says that if you point your thumb in the direction of the current and curl your fingers, your fingers point in the direction of the magnetic field. As a result, the northern wire's magnetic field is directed up, while the southern wire's magnetic field is directed down. Since the two magnetic fields have the same magnitude, they cancel each other out in the horizontal direction.

The magnetic field at the midpoint is therefore perpendicular to the plane formed by the two wires, and the magnitude is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × 0.600 m) = 1.20 × 10⁻⁵ T.

The magnetic field is out of the page because the two magnetic fields are in opposite directions and cancel out in the horizontal direction.

(b) The magnitude of the magnetic field at a point that is 2.00 m below the point of part (a) is 2.93 × 10⁻⁷ T and the direction of the magnetic field is out of the page.

The magnetic field at a point that is 2.00 m below the midpoint is required. The magnetic field is inversely proportional to the square of the distance from the wires.

Therefore, the magnetic field at this point is given by: B = (μ₀I)/(2πr) = (4π × 10⁻⁷ T · m/A) × (250 A) / (2π × √(1.20² + 2²) m) = 2.93 × 10⁻⁷ T. The magnetic field at this point is out of the page since the wires are so far apart that they can be treated as two separate current sources. The field has the same magnitude as the field created by a single wire carrying a current of 250 A and located 1.20 m away.

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 4.6 × 9.2

We have the final answer as

Hope this helps you

Answer:

the last one. gravitational force is stronger as objects get further apart

The false statement about gravity among the given choices is - D. The Law of Universal Gravitation states that the gravitational force is  stronger as objects get farther apart.

Gravity or the universal gravitational force is the force of attraction exerts between any two objects with mass in the universe. It is also exerted between the attraction of the earth's mass and bodies with mass near its surface.

Thus, The false statement about gravity among the given choices is - option D.

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Regular exercise has a positive impact on the brain, and the best explanation for this is that exercise helps maintain and create pathways in the brain (Option C).

1. The brain is a complex organ composed of billions of nerve cells called neurons. These neurons communicate with each other through pathways, forming a vast network.

2. When we engage in physical exercise, it increases blood flow to the brain. This enhanced blood flow delivers more oxygen and nutrients to the brain cells, promoting their overall health and functioning.

3. Exercise also stimulates the release of various chemicals in the brain, such as neurotransmitters and growth factors. These substances play a crucial role in the growth, development, and maintenance of brain cells.

4. Additionally, regular exercise has been found to promote the formation of new connections between neurons, a process known as neuroplasticity. These connections, also called synapses, are essential for learning, memory, and overall cognitive function.

5. By engaging in consistent exercise, individuals can enhance neuroplasticity, allowing their brains to adapt and reorganize in response to new experiences and challenges.

6. Moreover, exercise has been shown to reduce the risk of age-related cognitive decline and neurodegenerative diseases, such as Alzheimer's disease. It may also help improve mood, reduce stress, and enhance mental well-being.

7. In summary, while the brain is not a muscle that can be directly exercised, regular physical exercise positively impacts the brain by promoting neuroplasticity, improving blood flow, releasing beneficial chemicals, and reducing the risk of cognitive decline.

Therefore, the best explanation for why a consistent exercise regime has a positive impact on the brain is that exercise helps maintain and create pathways in the brain (Option C).

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We can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field and when the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity.

(a) To find the magnetic field in the region of space where the cosmic-ray proton is executing a circular orbit, we can use the formula for the centripetal force experienced by a charged particle moving in a magnetic field. The centripetal force is given by the equation:

F = qvB

Where:
F is the centripetal force,
q is the charge of the particle (in this case, the charge of a proton),
v is the velocity of the particle,
B is the magnetic field strength.

The centripetal force can also be expressed as:

F = mv²/r

Where:
m is the mass of the proton,
v is the velocity of the proton,
r is the radius of the circular orbit.

Equating the two expressions for the centripetal force, we have:

qvB = mv²/r

Rearranging the equation, we can solve for the magnetic field B:

B = mv/rq

Given the energy of the proton (13.0 MeV), we can use the relation between energy and velocity for a particle with rest mass m:

E = mc² = (γ - 1)mc²

Where:
E is the energy of the particle,
m is the rest mass of the particle,
c is the speed of light,
γ is the Lorentz factor.

The Lorentz factor can be expressed as:

γ = E/mc² + 1

Substituting the given energy and rest mass of the proton, we can calculate the Lorentz factor.

Now, we can substitute the values of m, v, and r into the equation for the magnetic field B and solve for B.

(b) When the cosmic ray proton enters our solar system, it experiences an interplanetary magnetic field that is perpendicular to its velocity. In this case, the proton will follow a helical path in the magnetic field.

To find the radius of the proton's circular orbit in this field, we can use the formula for the radius of a helical path in a magnetic field:

r = mv/|q|B

Where:
m is the mass of the proton,
v is the velocity of the proton,
|q| is the magnitude of the charge of the proton,
B is the magnitude of the magnetic field strength.

Substituting the given values of m, v, and B into the equation, we can calculate the radius of the proton's circular orbit in this field.

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Frequency is perceived by humans as pitch; The sound intensity is the amplitude; Humans can only hear a specific range of sound, usually from 20 Hz to 20,000 Hz; The factors that go into a sound are its intensity, frequency and overtones (which are like interference, or background noises).

It's "Pitch" on edge.