Using a lower frequency of light in a slit diffraction experiment has what effect?Select one:a.There is no difference between frequencies of light.b.fewer bright bandsc.brighter patternsd.more bright bands

The Carbon 14 isotope will take 34200 years to reduce to 1 gram if the half-life of the isotope is 5700 years.

Half-life is the amount of time it takes an unstable isotope to decay to half of its initial value. It is identified as [tex]t_{1/2}[/tex].

Applying, the half-life formula:

A = A'( [tex]2^{x/y}[/tex] )

Where A is the original mass of Carbon-14, A' is the final mass of carbon-14 after decaying, x is the total time, and y is the half-life.

We have,

A = 64 g, A' = 1 g, y = 5700 years.

Substitute these values in the equation,

A = A'( [tex]2^{x/y}[/tex] )

64 = 1 ( [tex]2^{x/5700}[/tex])

64 =  [tex]2^{x/5700}[/tex]

[tex]2^{x/5700}[/tex]  = 2⁶

Therefore,

x/5700 ≈ 6

Multiplying each side of the equation by 5700

x ≈ 6 × 5700

x ≈ 34200 years

Hence, it will take 34200 years for the isotope to reduce to 1 gram.

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  The reflective surface of a concave mirror is curled inward and away from the light source. Light is reflected inward to a single focal point via concave mirrors. Contrary to convex mirrors, concave mirrors provide a variety of images based on the object's distance from the mirror.

  The mirror formula is 1/v+1/u=1/f, where u, v, and f are, respectively, the distances between the object and the mirror, the distance between the object and its reflection, and the focal length of the mirror.

M= - v/u

   Additionally, M=height of the image/height of the object is the magnification.

  According to sign convention, for a true picture in a concave mirror, u, v, and f are all negative. Additionally, an erect image's height is positive, but an inverted image's height is negative.

1 / v + 1 /u = 1 / f → 1 /v = 1 / f − 1 / u = u−f /uf.

v=uf / u−f →  M = −v/u =  f/f−u.

   It is assumed that the image's height is one-fourth of the object's height. Additionally, the picture would only be half as tall as the object if it were shifted 5 cm in the direction of the mirror.

f /f−u = −1/4  and   f / f−(u+5)= −1/2,

   Because the positive indication of movement toward the mirror from the side of the object.

4f = − f +u  and  2f = −f+u+5.

5f=u  and 3f=u+5.

3f=5f+5  →  f = −5/2=−2.5  cm.

The lens has a 2.5 cm focal length. Given that the mirror is concave, the indication is negative.

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The Coulomb's inverse-square law, sometimes known as Coulomb's law, is an experimental physical principle that measures the force exerted between two electrically charged particles that are stationary. Common names for the electric force between two charged objects at rest include electrostatic force and Coulomb force.

Coulomb's Law states that F = kQ1Q2 / r2 represents the force between charges Q1 and Q2 separated by a distance r. If the indicators of charge are in opposition to one another, F is enticing, and if they are in agreement, F is repulsive.

The resultant force between the two charges is denoted by "F." "r" is the separation between the two charges. You only need to be aware that the "r" stands for "radius of separation" because it is merely a distance. The values of "q1" and "q2" represent the charges that each of the particles has.

F = kQ1Q2/d2

F = -(9 x 109 Nm²/C²)(0.00017 C)(0.00024 C) / (13 m)²

  = - 3.07883e^(-6) N

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The final velocity of the ball when it falls from the 15 m high cliff is 17.15 m/s.

The final velocity of the ball when it is projected at an initial velocity of 5 m/s at 43.6978° to the horizontal is 17.5 m/s.

The final velocity of the ball when it falls from the 15 m high cliff is calculated as follows;

v² = u² + 2gh

where;

v² = 0² + 2gh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 15)

v = 17.15 m/s

The final velocity of the ball when it is projected at an initial velocity of 5 m/s at 43.6978° to the horizontal.

v² = (5 sin43.6978)² + 2(9.8)(15)

v² =  305.93

v = √305.93

v = 17.5 m/s

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The bottom of the boat is 17.3 centimeters below the surface of water when it is floating in the water.

According to Archimedes' principle,

The upward force applied on the body floating in the liquid s equal to the mass of the liquid displaced by the body.

This upward force is called Buoyancy,

The buoyancy B is given by,

B = Volume displaced x density of liquid x Gravity.

Here,

B = weight W of the boat because the boat is floating on the surface,

Volume of the water displaced = volume of the boat submerged

Volume V of boat submerged = base area A of boat x height H till it is submerged

So, now we can write,

B = W

B = AHDg

W = AHDg

Value of g is 10 m/s²,

D is the density of water i.e. 10³ kg/m³

W = 5200 N

Putting all the values,

5200 = 10³x3xHx10

H = 0.173 meters

So, the boat is 17.3 cm below the water surface.

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Take into account that the work done by the force F can be written as follow:

Consider that for a dot product between vectors you have:

where θ is the angle in between the vectors F and d.

Then, related to the given statemen, it is true that angle θ is the angle between force and displacement.

Fit formula for moderate physical activities is Frequency , intensity , time and type exercise.

The FIT formula of achieving healthy lifestyle is frequency , intensity type and time exercise. It is a flexible exercise framework for achieving health and well being.

Frequency is how often you exercise . Intensity is how hard you are working . Type is a type of exercise you are doing and Time is how long you exercise .F = 5 or more days per week . I = equal to brisk walk. T = at least 30 to 60 mins.

Thus, FIT formula for moderate physical activities is Frequency , intensity , type and time exercise.

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The average velocity of the car during this 20 sec interval is 1.5 m/s.

Given that,

A car travels 50 metres due north in 15 seconds then car turns around the and travels 20 metres due south in 5 second.

To find :

The magnitude of the average velocity of the car during this 20 seconds interval.

Initial velocity

u = 50 metres/15 = 3.33 m/s

Final velocity

v = 20 metres/5 = 4 m/s

Displacement of car is

Displacement = 50 - 20 = 30 metres

Let V is the velocity of the car during this 20 sec interval. We know that the average velocity is given by :

V = d/t

V = 30 metres/20 = 1.5 m/s

So, the average velocity of the car during this 20 sec interval is 1.5 m/s.

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According to the given statement the value of the mystery displacement is 44.6 m.

The correct option is C.

The smallest (straight line) distance between a body's initial location and its final position—represented by an arrow pointing from the starting position to the final position—is referred to as a body's displacement when it moves from one position to another. It is a vector quantity.

For instance, an object's position changes if it moves from position A to position B. The term used to describe this change in an object's position is displacement.

F = 8.43 N

Work = 376 J

Work = force × displacement

376 J = 8.43 N × d

d = 44.6 m

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The complete question is -

A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement? (1 point)

A. 384 m

B. 368 m

C. 44.6 m

D. 3170 m

Answer:

44.6 m

Explanation:

Answer:

Water in an artificial lake held behind a dam

Explanation:

Potential energy is energy that can be converted to kinetic energy, for example, an object at a certain height has potential energy because we can drop the object to have kinetic energy.

Therefore, the best example of potential energy is water in an artificial lake held behind a dam because without the dam, the water will start to move and it becomes the energy into kinetic energy.

Speed is the total distance covered by a given time or rate of change of distance per unit time is called speed. It is scalar quantity and its S.I. unit is m/s.

Velocity is the displacement  covered in a given time or rate of change of displacement per unit time is called velocity. It is vector quantity and its S.I. unit is m/s.

Acceleration is the rate of change of velocity per unit time. It is vector quantity and its S.I. unit is m/[tex]s^{2}[/tex].

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Answer:

I thibknits 175

Explanation: It's the furthest

An electric motor is used to convert electrical energy to mechanical energy; therefore, the answer is B.

When the results of an experiment support your hypothesis, this means that your hypothesis has been proven to be true. the statement is True.

A hypothesis is a proposed explanation of a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that it can be tested. Scientists usually base scientific hypotheses on past observations that cannot be satisfactorily  explained by existing scientific theories.

The characteristics of a hypothesis are as follows:

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m = mass = 2kg

Diameter = 50 cm

radius= diameter /2= 50/2 = 25cm = 0.25m

w= angular velocity = 5 rad/s

L= I x W

I =2/5 * m*r^2 = 2/5 * 2 * 0.25^2 = 0.05 kgm^2

L= I x W = 0.05 * 5 = 0.25 kgm^2 / s

To find

When either low-mass or high-mass main sequence stars run out of hydrogen in the core, the

core will contain

Explanation

When either low-mass or high-mass main sequence stars run out of hydrogen in the core, the

core will contain helium

Conclusion

The core will contain helium

ANSWER

EXPLANATION

Parameters given:

Mass of glass, mg = 0.6 kg

Mass of ice tea, mt = 1.2 kg

Temperature of tea and glass = Tg = Tt = T1 = 19°C

Required temperature, T2 = 1°C

Temperature of ice, Ti = -15°C

The sum of the heat lost by the glass and the heat lost by the tea must be equal to the heat gained by the ice:

where cg = specific heat of the cup.

ct = specific heat capacity of the tea

Hi = heat gained by ice

The heat gained by ice is given as the sum of the heat gained to convert the ice to ice at 0°C, the heat gained to convert the ice at 0°C to water at 0°C and the heat gained to convert water at 0°C to water at 1°C:

where ci = specific heat capacity of ice

Lf = latent heat of fusion of ice

Therefore, we can substitute this into the original formula:

Solving for m in the equation above, the mass of ice needed is:

That is the mass of ice needed.

The magnitude of the object's acceleration is determined as 3.12 m/s².

The magnitude of resultant force acting on the object is calculated as follows;

F = √[(x₁i + x₂i)² + (y₁j + y₂j)²]

where;

F = √[(-7.5 + 8.2)² + (4.9 + 3.5)²]

F = 8.43 N

The magnitude of the object's acceleration is calculated by applying Newton's second law of motion as follows;

F = ma

a = F/m

where;

a = (8.43) / (2.7)

a = 3.12 m/s²

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Radioactive decay is the emission of power inside the shape of ionizing radiation.

Ionizing radiation can have an effect on the atoms in dwelling things, so it poses a health danger by using negative tissue and DNA in genes.. The ionizing radiation that is emitted can consist of alpha debris.

In alpha decay, the nucleus loses two protons. In beta decay, the nucleus either loses a proton or gains a proton. In gamma decay, no alternate in proton quantity takes place, so the atom does no longer end up a specific element.

Radioactivity is the term used to explain the natural procedure via which some atoms spontaneously collapse, emitting both particles and power as they remodel into exclusive, greater solid atoms. This technique, also called radioactive decay, occurs due to the fact unstable isotopes have a tendency to transform into a more stable country.

Radioactive decay is very critical for a wide range of human sports, from medicinal drug to power production and past, and also to astronomers. The simplest manner that this will happen is by way of converting the range of protons in the nucleus.

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The star whose absolute magnitude is 1.0 is 0.0128 pc away from the earth.

Stars are huge celestial bodies made mostly of hydrogen and helium that produce light and heat from the churning nuclear forges inside their cores.

Given is a certain star has an absolute magnitude of 1.0 and an apparent magnitude of 5.4.

We can write the relation absolute magnitude [M] and apparent magnitude [m] as follows -

M = m + 5(log₁₀p + 1)

Assume that the star is [x] light years away from earth. Then, we can write the above equation as -

M = m + 5[log₁₀ (x/3.2616)+ 1]

1 = 5.4 + 5[log₁₀x - log₁₀ 3.2616 + 1]

1 - 5.4 = 5[log₁₀x - 0.5134 + 1]

- 4.4 = 5[log₁₀x + 0.4866]

- 4.4 = 5log₁₀x + 2.433

- 4.4 - 2.433 = 5log₁₀x

- 1.37 = log₁₀x

x = 0.042 light years

Now, in 1 pc there are 3.2616 light years.

In 1 light year there will be (1/3.2616) pc

So, in 0.042 light years there will be (1/3.2616 x 0.042) = 0.0128 pc

Therefore, the star whose absolute magnitude is 1.0 is 0.0128 pc away from the earth.

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The supply curve will move to the correct, demonstrating an increment within the add-up to the amount of pizza as of now on the advertisement, in case two or more pizzerias open within the community.

To encourage data on the important picture, see the subtle elements underneath and the attachment.

The add up to several items and administrations that businesses in a country's economy point to offer inside a particular time outline is known as total supply, too known as residential last supply in economics.

It is the overall number of merchandise and administrations that businesses in an economy are arranged and able to offer for sale at a particular cost point.

A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply shift. A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply bend.

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ANSWER

EXPLANATION

To find the time of flight, apply the formula for a projectile's time of flight:

where u = initial velocity

θ = angle of launch

g = acceleration due to gravity

Therefore, the time of flight of the cannonball is:

When F1 that is given  21 N and mass of the box is 2.8 kg then F2 is calculated to be 12.32 N

Newton's second law states that the force acting on an object is equal to the mass of an object times its acceleration. This means the more mass of an object, the more force is needed to accelerate it. Greater the force, the greater is the acceleration of the object.

It is given as : F=ma

where 'm' is the mass and 'a' is acceleration.

Given mass = 2.8 kg and F1= 21N

a= 3.1 m/s^2

When two forces are in the opposite directions the net force is the difference between them.

F1 - F2 = m* a

21 - F2 = 2.8* 3.1

21 - F2 = 11.78

F2= 21 - 11.78

= 9.22 N

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The charged particle will experience a force whose magnitude will be q(V×B).

When a particle of charge q with a constant velocity V is moving inside a magnetic field B.

A force is applied by the magnetic field on the charge.

This force F is given by,

F = q(V×B)

F = qVBsinA

Where, A is the angle between the magnetic field and velocity of the charges particle.

If the charge enters perpendicular to the field, then the force is applied on the charge in such a way that the path of charged particle formed spiral path.

The direction of the force on the particle is given by Fleming's left hand rule.

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Answer:

- Assume a player s meters dunks a ball at an angle theta at an initial velocity Vo, through a net h meters from the ground.

- From Newton's first law of motion; a body remains in its state of motion unless acted upon by an external force.

[tex]{ \rm{v = u + at}}[/tex]

- Since it undergoes projectile motion, there is both vertical and horizontal motion;

Vertical motion:

[tex]{ \rm{v _{y} = u _{y} - gt }} \\ { \rm{v \sin( \theta) = u \sin( \theta) - gt }}[/tex]

- To find the vertical displacement moved by the ball. Let H be the vertical displacement moved by the ball

[tex]{ \rm{H =( u \sin( \theta) - \frac{1}{2} g {t}^{2} ) + h}} \\ \\ { \rm{}}[/tex]

Horizontal motion (g = 0);

[tex]{ \rm{v _{x} = u _{x} }} \\ \\ { \rm{s = u \cos( \theta) t}}[/tex]

We have

the static coeffient friccion = 1.3

The coefficient of kinetic friction is always positive and bigger than 0

Therefore the coefficient of kinetic friction is 1.2

The release of energy during fusion because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process produces energy. Remaining mass is converted to energy.

what is Nuclear fusion?

A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles.

Mass energy equivalence describes the relation between mass and energy  when system is in rest frame. According to Einstein's equation, mass and energy can be transformed into one another (E=mc2).

when energy is lost the mass of the system will also decrease in proportion. The energy and mass can be discharged into the environment as heat energy or radiant energy like light.

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This means that the release of energy from a nuclear reaction creates enough of a mass difference to be measured.

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The distance travelled by the spring compressed by the time the block first momentarily comes to rest is equal to 0.96 meters.

what is work energy theorem?

work energy theorem is an important phenomenon in physics which states that the change in kinetic energy is equal to the work done by the object.

This law is basic part of conservation of energy.

what is newtons law of motion?

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows: A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force.

given:

mass of the block = 1.25 kg

speed of the block = 8.0 m/s

spring constant = 80 N/m

coefficient of friction = 0.100 u

on applying the work energy theorem, you would realize,

change in kinetic energy = work done by spring and the friction

final kinetic energy - initial kinetic energy = work done by spring + the work done by friction

0.5 × 1.25 × 64 = 0.5 × 80 × x² + 0.1 × 1.25 × 9.8

x = 0.96 meters

therefore, the distance travelled by the spring compressed by the time the block first momentarily comes to rest is equal to 0.96 meters.

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