An alpha particle with kinetic energy 9.50 MeV (when far away) collides head-on with a lead nucleus at rest.
What is the distance of closest approach of the two particles? (Assume that the lead nucleus remains stationary and may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)

Answer:

m v^2 / R = m g where gravitational force provides centripetal force

R = v^2 / g = 14.3^2 m/s / 9.8 m/s^2 = 20.9 m

When heat is exchanged between a system and its surroundings at constant pressure, it can be used for two purposes. The first use of heat is to increase the internal energy of the system itself. The second use of heat is to perform work.

When heat is transferred between a system and its surroundings at constant pressure, it serves two distinct purposes. The first use of heat is to increase the internal energy of the system itself. This energy increase leads to a rise in temperature and an overall change in the system's state.

The second use of heat is to perform work. This work can involve mechanical movements, such as the expansion or compression of gases, or other forms of energy transfer. The work done by the system is a result of the energy gained from the heat exchange. These two uses of heat—increasing the internal energy of the system and performing work—are fundamental aspects of thermodynamics and are crucial for understanding heat transfer and energy conversion processes.

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The word "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.

The hydrologic cycle, another name for the water cycle, describes where and how water is kept on Earth.

Thus, the term "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.

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Answer:

The correct option is b: A solute depresses the freezing point because the solute disrupts the crystal formation of the solvent.

Explanation:

The depression of the solvent's freezing point is caused by the addition of a solute because the presence of the molecules of the solute interferes in the arrange and close up of the molecules of the solvent to form the crystal of the solid.

The attraction of the solute molecules to the solvent molecules interfere with the formation of the solid, so the solution must be cooled to a lower temperature so it can form the solid.

Hence, the correct option is b: A solute depresses the freezing point because the solute disrupts the crystal formation of the solvent. The other options are incorrect.

I hope it helps you!              

Unless the above assumptions are clear, the initial and final energies are equal.

Kinetic energy is the form of energy that an object or a particle possess due to its motion. If work, that transfers energy, is done on an object by applying a net force, the object accelerates and thereby gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends on its motion as well as its mass. The type of motion may be translational (or motion along a path from one place to another), rotational, vibrational, or any combination of motions. Translational kinetic energy is one-half the product of its mass (m) and the square of its velocity (v) or 1/2mv².

Given,

Initial and final velocities = v₁ and v₂

Initial kinetic energy = \(\frac{1}{2} mv_{1} ^{2}\)

Final kinetic energy = \(\frac{1}{2} mv_{2} ^{2}\)

Gravitational potential energy is calculated = mgh

As the assumptions are not clear, this question assumes no air resistance. As a result, no energy is consumed by work.

then

Initial Kinetic Energy = Final Kinetic Energy

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Answer:

When a ray of light, passes from a denser to a rarer medium with the angle of incidence greater than the critical angle, the ray is reflected back into the same medium. This phenomenon is call total internal reflection.

Answer:

its D

Explanation:

The kinetic energy is the energy of motion.

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

An item in motion has energy, which is called kinetic energy. Motion in space, you walking down the street, and the rotation of the planet around the sun are all examples of kinetic energy. Kinetic energy has the following formula: K.E. = 1/2 m*v², where m is the object's mass and v is its square velocity.

Any object in motion is using kinetic energy, so the energy of motion is

kinetic energy.

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The correct statement regarding the work and impulse required to move a box on the floor from 2v to 3v and from 3v to 4v is Case i requires less work, but i and ii require the same amount of impulse.

W = ΔKE

W = Work done

ΔKE = Change in Kinetic energy

ΔKE = 1 / 2 m ( v2 - v1 )²

J = m Δv

J = Impulse

m = Mass

Δv = Change in velocity

For ( i ),

W = 1 / 2 m ( ( 3 v )² - ( 2 v )² )

W = 1 / 2 m ( 9 v² - 4 v² )

W = 2.5 m v²

J = m ( 3 v - 2 v )

J = m v

For ( ii ),

W = 1 / 2 m ( ( 4 v )² - ( 3 v )² )

W = 1 / 2 m ( 16 v² - 9 v² )

W = 3.5 m v²

J = m ( 4 v - 3 v )

J = m v

Therefore,

i ) W1 < W2

ii ) J1 = J2

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Answer:

Explanation:

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

\(a = \frac{f}{m} \\ \)

m is the mass

f is the force

From the question we have

\(a = \frac{70}{7} = 10 \\ \)

We have the final answer as

Hope this helps you

The temperature would gradually increase after it is turned on. The rate of increase would depend on the power of the heater and the size of the room. Once the desired temperature is reached, the heater would automatically turn off to maintain the temperature.

If a propane heater is used instead of a furnace to heat a room that starts at 20 degrees Celsius, the temperature of the room would depend on various factors such as the size of the room, the insulation, and the power of the heater. Generally, a propane heater would provide heat more quickly than a furnace as it heats up faster. However, it also tends to heat up the immediate area around it more quickly, resulting in uneven heating in the room.

Assuming the propane heater is powerful enough to heat the entire room evenly, the temperature would gradually increase after it is turned on. The rate of increase would depend on the power of the heater and the size of the room. Once the desired temperature is reached, the heater would automatically turn off to maintain the temperature.

If the person who turned on the propane heater leaves the room, the temperature would continue to rise until it reaches the desired temperature. However, if the room is poorly insulated or there are drafts, the temperature may not reach the desired level or it may fluctuate. It is important to monitor the temperature regularly and adjust the heater as needed to maintain a comfortable and safe temperature.

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Given data:

* The mass of the student is m = 65 kg.

* The distance covered by the student is d = 100 m.

* The time taken by the student to cover the distance is t = 12 seconds.

Solution:

(a). The velocity of the student is,

Thus, the velocity of the student is 8.33 meters per second.

(b). The kinetic energy of the student is,

Thus, the kinetic energy of the student is 2255.14 J.

(c). The mechanical energy of the student is the energy acquired by the student during its motion.

Thus, the mechanical energy of the student is 2255.14 J.

Answer:

C. Do not write anything next to it.

Explanation:

If an equation is already balanced there is no need to provide information of that.

The vertices of the path of the comet e are (-12,0) and (+12,0) as it is moving an elliptical path.

Given, that the Sun is located at the origin.

Comet e is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse:

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose, Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16 &

a²=144

a = 12

and,

b²=400

b=20

So, Centre (0, -16),

Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet e are (-12,0) and (+12,0).

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Cumulus clouds often indicate Optiion C. possible turbulence.

Turbulence, associated with thunderstorms, may be extremely risky, having the ability to motivate overstressing of the aircraft or lack of manipulation. Thunderstorm vertical currents can be sturdy sufficient to displace a plane up or down vertically as plenty as 2000 to 6000 ft.

Turbulence is only one type of alternate in the air around your aircraft. Air is not nothingness; it's a fluid, like water. Currents of airflow up and down, ripple out, trade direction, and change speed. some of the things that reason turbulence are simpler to expect.

Turbulence is an unexpected and every-so-often violent shift in airflow. the ones irregular motions within the atmosphere create air currents that may purpose passengers on an aircraft to enjoy stressful bumps throughout a flight, or it is able to be extremely sufficient to throw an airplane out of manage.

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Answer:

4.26 m/s

Explanation:

h = 0.925

v = 0

u = ?

v = u^2 - 2gh

0 = u^2 - 2gh

u = sqrt 2gh

= sqrt 2*9.8*0.925

= 4.258

= 4.26

Answer:

13.33 seconds

Explanation:

At maximum height, the equation of motion becomes:

v = u + at

Since the object was thrown vertically, the initial velocity (u) is zero and the acceleration (a) becomes the acceleration due to gravity (10 m/s2). The equation becomes:

v = at

v = 480 km/hr = 133.333 m/s

    10t = 133.333

       t = 133.333/10

           t = 13.33 seconds.

The time for the ball thrown vertically with a velocity of 480 km/hr to reach the maximum height is 13.33 seconds.

Answer:

:c: H* : A: :C: H* :A: :C: H* :A:

Answer:

a) 5.01 m/s

b) 3.28 m/s

c) 0.67 s

d) 0.45 m

e) 2.78 m

Explanation:

Answer:

a) 3.04 m/s

b) 3.7 m/s

c) 0.72 s

d) 0.36 m

e) 4.12 m

Explanation:

Answer:

\(\boxed {\boxed {\sf v= 0.08 \ km/min \ North}}\)

Explanation:

Velocity is found by dividing the displacement by the time.

\(v=\frac{s}{t}\)

where s is the displacement and t is the time.

The displacement is 1.6 kilometers, but it needs a direction as well. The question notes you walked North. The time is 20 minutes.

\(s= 1.6 \ km \ North \\t= 20 \ min\)

\(v=\frac{1.6 \ km \ North} { 20 \ min}\)

Divide.

\(v= 0.08 \ km/min \ North\)

Velocity is a vector quantity, so that is why it has the measurement and the direction.

The average velocity is 0.08 kilometers per minute North.

Answer:

Are there no moderators here?

Who are moderators here?

Well, the above answer is correct..

✨

Answer:

four times as great

Explanation:

If we use the simple physics equations: F=ma, and (Vf^2-V0^2)/2d

we can see that since the final velocity of a crash is 0, the equation becomes F=m(V^2/2d). Assuming that we have the same distance to stop, when you double the velocity, the impact force is increased by four.

The ramp used by the movers to load the refrigerator onto the moving van is an example of an inclined plane.

An inclined plane is a simple machine that consists of a sloping surface. It allows objects to be moved vertically by exerting a smaller force over a longer distance.

By using an inclined plane, the movers can reduce the amount of work required to lift the refrigerator directly to the height of the truck.

The inclined plane works by increasing the distance over which the force is applied, allowing for a trade-off between force and distance.

The force required to move the refrigerator up the ramp is spread out over a longer distance compared to lifting it straight up.

This reduces the effort needed to overcome the gravitational force acting on the refrigerator.

Inclined planes are commonly used in various applications to facilitate the movement of objects. They can be found in ramps, staircases, and even simple household items like wheelchair ramps or sloping driveways.

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The resultant vector is 22.4 km.

We know that the parallelogram law of vectors states that if we try to represent that vectors that you have by the two sides of a parallelogram, it then follows that the resultant or the effective vector would be the magnitude of the diagonal drawn from any point on the particular parallelogram that you are using. This is how we are able to arrive at the magnitude of the resultant vectors by this method.

Let us consider the fact that what we have here are two vectors that are at right angles. Let P and Q be the magnitudes of the vectors 10 km left, 20 km up​. We then have;

R= √P^2 + Q^2 - 2PQ cos 90

R = √(10)^2 + (20)^2 - 2(10 *20) * cos 90

R = √(10)^2 + (20)^2

R = 22.4 km

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The true statements about quarks are:

The statement "All quarks have an electric charge of 1/2e" is not true.

Quarks are the building blocks of matter and belong to the category of elementary particles. They are the smallest particles known to date and have a spin of 1/2, making them fermions. Quarks come in six types, which are up, down, strange, charm, bottom, and top. Four types of quarks are believed to exist.

Quarks are believed to be truly elementary particles as they do not contain substructures. They are indivisible and cannot be broken down into smaller units. The statement that "Quarks are considered to be truly elementary particles" is correct.

All quarks have a spin of 1/2. Quarks have a fractional electric charge, and their charge varies depending on the type of quark.

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A ferris wheel on a California pier is 27 m high and rotates once every 32 seconds in the counterclockwise direction. When the wheel starts turning, you are at the very top. The  angular position 75 seconds after the wheel starts turning, measured counterclockwise from the top is 140° and the speed is 2.7 m/s

To find the angular position, we must first determine the Ferris wheel's angular velocity. We are aware of its period.

T= 32 s

ω=2π /T

ω = 2π /32s = 0.20 rad

The angular displacement with respect to the starting location may now be calculated, presuming the wheel is rotating at a constant angular velocity. The formula of angular velocity  is

ω=Δθ /Δt

ω = angular velocity

Δθ = change in angular rotation

Δt    = change in time

so Δθ =  ω Δt

Δθ =  0.20 rad . 75s = 15 rad

It's in degrees

15 rad : x = 2 π rad :360°

x = 15 rad x 360° = 860° =140°

              2π

Therefore, the new position is 140 degrees away from the top position's initial location.

A position at the edge of the wheel's tangential speed is given by

v=ωr

in which we have

ω = 0.20  rad

The wheel's radius is (27 m)/2, or r = d/2, which equals 13.5 m.

When we substitute into the formula, we discover

v=ωr

v=0.20  rad x 13.5 m.

v= 2.7 m/s

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As a transverse wave travels through water, the water molecules are momentarily moved in the direction of the wave. As a result of this displacement, the wave moves across the medium.

Water molecules briefly move up and down or side to side as a transverse wave passes through it, but they do not move in the direction of the wave permanently. Instead, the water molecules are temporarily displaced in a direction perpendicular to the wave by the wave, which is how energy  transferred across the medium. The wave spreads across the water's surface as a result of this displacement. There is no permanent displacement of water molecules in the direction of the wave because, when the wave has gone, the molecules return to their original location. Transverse waves move across water by temporarily shifting into equilibrium and then returning to it.

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Answer:

The same amount of wax exists before and after the change.

Explanation:

The melting of wax is a physical change and not a chemical change. During a physical change, no new substance is formed as chemical reactions do not take place. In a chemical change, however, new substances are formed because chemical reactions do take place.

In addition to that, both physical and chemical changes obey the law of conservation of matter which states that matter can neither be created nor destroyed but can be transformed from one form to another. It also entails that the mass of a substance present before a reaction should be equal to the mass obtained after the reaction.

In this case, the candle just simply changed its state from solid to liquid. This means that the total mass of the candle that existed as a solid will be the same as that of the liquid state.

Answer:

The answer is C). The same amount of wax exists before and after the change.

Explanation:

The reason for this is simple. If you put a block of wax in a pan, and put it on the scale, (lets say it weighs 2 pounds) it will way two pounds. If you stick it on a stove, and it melts, does it weigh the same amount? Yes, it does. This is because none of the wax left the pan. It just moved around. The only difference is that it is a liquid. It still has the same amount of wax.

Hope this helps!

Answer:

Amoeba (plural = amoebae) is a well known genus of unicellular organism, a protist. One of its most common species, the Amoeba Proteus, is about 0.2 to 0.3 mm large. The amoeba was first discovered by August Von Rosenhof in 1757.[1] It is a genus of protozoa that moves with false feet, called pseudopodia.

It's a single - called animal that catches good and moves around by extending fingerlike projections of protoplasm

Using this data the quantity which is trying to find is average speed thus option C is correct.

Average speed is defined as the total distance traveled in total time taken it means that we can calculate the average speed obtained by an object.

Average Speed = Total distance travelled/Total time taken

It's S.I unit is m/s

Using this data the quantity which is trying to find is average speed thus option c is correct.

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