The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:

If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.

To test this hypothesis, you would change the gap widthdiffraction anglewavelength and observe the gap widthdiffraction anglewavelength in the system.

Therefore, the independent variable would be the gap widthdiffraction anglewavelength and the dependent variable would be the gap widthdiffraction anglewavelength.

Answer:

A

C

D

B

Explanation.

At point A The body is at rest so k.E is zero but the height is maximum so that p.E is max.

Answer:

a

Explanation:

f=ma

200=2*m

divide both sides by 2

m=100

The  4.7 g/cm3 is  the density of the substance.

What is density ?

How tightly something is packed can be used to gauge a material's density. Formally, it is defined as the mass per unit of volume. Formula for Density or Density Symbol: D D = m/V, where m is mass and V is volume, stands for density.

What is mass ?

The most basic characteristic of matter, it is one of the fundamental quantities in physics. As a way to gauge how much matter is there in a body, we might use the term mass. Kilograms are the SI unit of mass (kg).

density = mass of sample/ volume of sample

mass = 1.5 kg = 1500 g

volume = W*L*H

Vol = 3.2*17.1*5.8 cm3 = 317.376 cm3

Now,

D = mass/V = 1500/317.376

D = 4.726255 g/cm3

=4.7 g/cm3

Therefore, 4.7 g/cm3 is  the density of the substance.

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The total linear momentum of the antelope and the tiger is 2650 Kg m/s.

The result of a system's mass x its velocity is its linear momentum. Linear momentum is denoted by the sign p = m v. The relationship between momentum and an object's mass and speed is straightforward.

Given -

mass of antelope = 55 Kg

mass of tiger = 140 Kg

speed of antelope = 10 m/s

speed of tiger = 15 m/s

from linear momentum formula

P = m × v

For antelope-

P = 55 × 10

P = 550 Kg m/s

For tiger-

P = m × v

P = 140 × 15

P = 2100 Kg m/s

Hence, total momentum is-

550 + 2100

2650 Kg m/s

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According to given data the volume of the unknown sample is 52. 5 mL - 47. 0 mL = 5.5 ml.

One typical style of lab glassware is graduated cylinders. They are a long, cylindrical vase with graduations marking the volume of liquid they can hold. Spouts are frequently included to make pouring easier.

Your graduation will go down in history as a significant event; it will stand for development, change, and embarking on new experiences. Celebrate your accomplishments thus far and be grateful for the memories this phase of your schooling has provided you.

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Answer:

True

Explanation:

In the definition of weight, W = mg, the mass m refers to an inertial mass.

The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.

A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."

A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.

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According to Newton's law of gravitation, the new gravitational force will be F/9

It states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,

F = GMm/d²

Where

The magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow

f = GMm/(3d)²

f = GMm/9d²

f = GMm/d² × 1/9

Since GMm/d² = F

f = F × 1/9

f = F/9

Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton

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(1) The frequency of the oscillation is 0.32 Hz.

(2) The period of the oscillation is 3.13 seconds.

The period of the wheel's oscillation is the time taken for the wheel to make one complete oscillation.

The period of an oscillatory motion is the reciprocal of the frequency of the oscillation.

The frequency of the oscillation is the number of cycles completed by the oscillatory object in a given second.

The frequency of the wheel undergoing oscillatory motion is calculated by using the following formula.

f = ω / 2π

where;

f = ( 2 rad/s ) / 2π

f = 0.32 Hz

The period of the oscillation is calculated as follows;

T = 1 / f

T = 1 / 0.32 s

T = 3.13 seconds

Thus, the period of oscillation and frequency of the oscillation are inversely proportional.

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Jupiter affect observations of the Sun, from the viewpoint of an alien astronomer, by causing the Sun to move in a small ellipse with an orbital period of about twelve years. The correct option is option a.

Being the fifth closer planet to our Sun, Jupiter is the biggest planet in our Solar System. Jupiter is one of the gas giants in the Solar System.

From the Sun, Jupiter's average distance is about 480 million miles, and it takes nearly twelve years for Jupiter to make one revolution. Jupiter has a ring, albeit flat and small, like the rest of the gas giants. Jupiter's rotation is the fastest of all planets in the Solar System, rotating once on its axis every ten hours.

From the viewpoint of an alien astronomer outside our Solar System, the Sun will look as if it orbits Jupiter and takes 12 years to complete a revolution. Planets in general have orbits that are elliptical.

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Answer:

The coefficient of friction between the surface of the block is 1/4

The pressure at position y to be 10.0, which is the air pressure when the piston is at position y.

If the original pressure in the cylinder was 1.0, and the piston is pulled out from position x to position y without changing the temperature of the enclosed air, the air pressure at position y will be increased. This is due to the change in volume of the cylinder as the piston is pulled out. As the volume increases, the number of air molecules inside the cylinder also increases, which causes an increase in the air pressure.

To calculate the air pressure when the piston is at position y, we can use the gas law known as Boyles' Law, which states that the pressure and volume of a gas are inversely proportional. Therefore, if the volume increases, the pressure will decrease, and if the volume decreases, the pressure will increase.

Where P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume.

By substituting the given values, we have:

Where V is the change in volume due to the movement of the piston.

Solving for P₂:

As we know, the original pressure is 1.0, and if we multiply it by 10, we will get the final pressure at position y to be 10.0, which is the air pressure when the piston is at position y.

This question is not written in a proper manner. The corrections are:

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The Barbie would be moving with speed 27.69 ft/s at the bottom of the path.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Mass of the Barbie = 0.23 kg.

Initial height of the Barbie: h= 11 ft 11 inches = ( 11 + 11/12) feet = 11.92 feet.

Acceleration due to gravity: g = 32.17 ft/s²

Hence, the speed of the Barbie at the bottom of the path = √(2gh)

= √( 2 × 32.17 ×11.92) ft/s

= 27.69 ft/s.

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The correct option is C ; Water vapor , Water vapour is water that is gaseous rather than liquid. It can be generated by either evaporation or sublimation.

Water vapour, unlike clouds, fog, or mist, which are just suspended particles of liquid water in the air, cannot be seen since it is in gaseous form.

Water vapor has the same chemical formula as regular water - H2O - but the water molecules in vapor interact with each other less and are not as organized as they are in water and ice. Pressure, temperature, and relative humidity all influence whether water is liquid or gas.

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Answer:

Every object in space exerts a gravitational pull on every other

explanation :  gravity influences the paths taken by everything traveling through space. It is the glue that holds together entire galaxies. It keeps planets in orbit. It can also cause life-destroying asteroids to crash into planets..

According to the given statement  If suddenly a load is dumped into the cart so that the cart's mass is doubled The acceleration slows.

which speaks of the rate of change in time of the speed and direction of motion. Something is said to be accelerating when it starts to move faster or slower. Even if the speed slows down, motion on a circle accelerates because the direction is constantly changing.

Any process in which the velocity changes is referred to as acceleration. There are only two ways to speed up because velocity consists of both a speed and a direction.

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The expression for drag force that is proportional to the speed of the object is known as linear drag, while the expression that is proportional to the square of the speed is known as quadratic drag.

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Answer:

The weather is just the state of the atmosphere at any time, including things such as temperature, precipitation, air pressure and cloud cover.

Explanation:

Daily changes in the weather are due to winds and storms. Seasonal changes are due to the Earth revolving around the sun.

atmosphere:The atmosphere covers the Earth. It is a thin layer of mixed gases which make up the air we breathe. This thin layer also helps the Earth from becoming too hot or too cold

Ocean:Oceans cover about 70 percent of Earth's surface. Their large size and thermal properties allow them to store a lot of heat.

ice: Ice is the world's largest supply of freshwater. It covers the remaining 3 percent of Earth's surface including most of Antarctica and Greenland. Ice plays an important role in regulating climate, because it is highly reflective.

:]

Explanation:

This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.

The height of the hill can be calculated using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the hill. So, solving for h, we get h = PE/mg = 1000 J/ (60.0 kg*9.8 m/s2) = 10.2 m.

Therefore, the height of the hill is 10.2 m.  The potential energy of an object is the energy it possesses due to its position or state. As the object moves, its potential energy can be converted into kinetic energy, or the energy it has due to its motion. In this case, the rollerblader is on top of the hill, so it has potential energy due to the height of the hill.  

The formula for potential energy is PE = mgh, which means that the potential energy is equal to the mass multiplied by the acceleration due to gravity multiplied by the height. In this case, the mass is known to be 60.0 kg, and the potential energy is known to be 1000 J. By using the formula and substituting in the known values, the height of the hill can be calculated.

The height of the hill is determined to be 10.2 m, which is relatively small. This means that the hill is not too steep, and the rollerblader would not have to use a lot of energy to go down it.

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The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.

The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:

r = 2GM/c^2

where

r = radius of the event horizon (in meters)

G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)

M = mass of the black hole (in kg)

c = speed of light in a vacuum (2.998 x 10^8 m/s)

For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.

M = 10 x 1.989 x 10^30 kg

Now, we can substitute the values into the formula

r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2

r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2

r = 2.95 x 10^3 m = 2950 kilometers

So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.

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A 50.0-kg child stands at the rim of a merry-go-round of radius 2.70 m, rotating with an angular speed of 3.95 rad/s. Minimum coefficient of static friction is required 13.56.

To find the minimum coefficient of static friction required, we need to calculate the centrifugal force acting on the child and compare it to the force of friction.

The centrifugal force acting on the child is given by:

= Fc

= m * r * w^2

where

= m

= 50.0 kg (mass of child)

= r

= 2.70 m (radius of the merry-go-round)

= w

= 3.95 rad/s (angular velocity)

So, Fc = 50.0 kg * 2.70 m * (3.95 rad/s)^2

= 6629.775 N

The force of friction acting on the child is given by:

= Ff

= friction coefficient * normal force

where

friction coefficient = minimum coefficient of static friction required (unknown)

= normal force

= m * g

The normal force is equal to the weight of the child, which is

= m * g

= 50.0 kg * 9.8 m/s^2

= 490 N

So, Ff = friction coefficient * 490 N

To find the minimum coefficient of static friction, we need to set Ff equal to Fc and solve for the friction coefficient:

friction coefficient = Ff / N

friction coefficient = 6629.775 N / 490 N

= 13.56

So the minimum coefficient of static friction required is 13.56.

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Answer:

1: As the substance’s thermal energy increases, the kinetic energy of its particles increases, and vice versa.

2: Its molecules move around more quickly, so there is more space between them, making it less dense than the air above it.

3: Warmer sauce at the bottom of the pot is less dense, so it rises, forcing cooler sauce down, where it is warmed.

4: Hot soup warms the bowl where it sits.

5: transfer of thermal energy through infrared waves

Explanation:

This is correct for the Thermal Energy Transfer Quick Check

A simmering pot of spaghetti sauce provides an excellent illustration of convection currents because the process of heating the sauce causes hot molecules to rise and cool molecules to sink. This creates a circular motion known as a convection current.

When the pot is placed on a hot stove, the heat from the burner is transferred to the bottom of the pot, which in turn heats the sauce. As the sauce heats up, the molecules nearest to the heat source become hotter and lighter. These hot, lighter molecules rise to the top of the pot, creating a convection current. As they reach the surface, they cool down, become heavier, and then sink back down to the bottom of the pot.

This process of hot molecules rising and cool molecules sinking creates a circular motion that evenly distributes the heat throughout the sauce, ensuring that it cooks evenly. The convection currents in the pot are also responsible for the bubbles that rise to the surface of the sauce, releasing trapped steam and preventing the pot from boiling over.

In conclusion, a simmering pot of spaghetti sauce illustrates convection currents because it shows how hot molecules rise and cool molecules sink, creating a circular motion that evenly distributes heat and ensures that the sauce cooks evenly.

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Answer:

4.13×10⁻⁷ m

Explanation:

Applying

v = λf................... Equation 1

Wherfe v = speed of light, λ = wavelength of light, f = frequency of light.

make λ the subject of the equation

λ = v/f....................... Equation 2

Note: Light is an electromagnetic wave, and all electromagnetic wave moves with thesame speed which is 3×10⁸ m/s.

From the question,

Given: f = 7.26×10¹⁴ Hz

Constant: v = 3×10⁸ m/s

Substitute these values into equation 2

λ = (3×10⁸)/(7.26×10¹⁴)

λ = 4.13×10⁻⁷ m

Answer:

2.995 seconds

Explanation:

We can use this kinematics equation to evaluate time.

[tex]y=v_0t-\frac{1}{2}gt^2[/tex]

Lets solve for [tex]t.[/tex]

Combine [tex]\frac{1}{2}[/tex] and [tex]gt^2[/tex].

[tex]y=v_0t-\frac{gt^2}{2}[/tex]

Subtract [tex]y[/tex] from both sides.

[tex]0=v_0t-\frac{gt^2}{2}-y[/tex]

[tex]0=-\frac{gt^2}{2} -v_0t-y[/tex]

Multiply both sides of the equation by -1.

[tex]0=\frac{gt^2}{2} -v_0t+y[/tex]

Multiply both sides of the equation by 2.

[tex]0=gt^2 -2v_0t+2y[/tex]

Use the quadratic formula to solve for t.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]a=-g\\b=2v_0\\c=-2y[/tex]

Solution 1 Steps

[tex]t=\frac{-2v_0+\sqrt{(2v_0)^{2} -4*-g*-2y} }{2*-g}[/tex]

[tex]t=\frac{-2v_0+\sqrt{4v_0^2 -4*-g*-2y} }{2*-g}[/tex]

[tex]t=\frac{-2v_0+\sqrt{4v_0^2 -8gy} }{-2g}[/tex]

Solution 2 Steps

[tex]t=\frac{-2v_0-\sqrt{(2v_0)^{2} -4*-g*-2y} }{2*-g}[/tex]

[tex]t=\frac{-2v_0-\sqrt{4v_0^2 -4*-g*-2y} }{2*-g}[/tex]

[tex]t=\frac{-2v_0-\sqrt{4v_0^2 -8gy} }{-2g}[/tex]

One of these solution will most likely lead to a negative answer. The solution that gives a positive answer is correct. Lets enter our values into both equations to see which one is correct.

We can assume the initial velocity is 0.

We are given

[tex]v_0=0\\g=-9.81\\y=44[/tex]

Lets try the first solution.

[tex]t=\frac{-2*0+\sqrt{(4*0^2) -(8*-9.81*44)} }{-2*-9.81}[/tex]

[tex]t=\frac{0+\sqrt{0 -(8*-9.81*44)} }{-2*-9.81}[/tex]

[tex]t=\frac{0+\sqrt{0 --3453.12} }{-2*-9.81}[/tex]

[tex]t=\frac{\sqrt{3453.12} }{19.62}[/tex]

[tex]t=2.995[/tex]

Our first solution was positive so there is no need to check the second solution.

In the particles of a substance when heat is released and the temperature becomes lower are the particles will move more slowly.

A particle can vibrate due to heating so that the particle can be said to have kinetic energy. Kinetic energy itself is affected by the mass and speed of objects. The smaller the mass of an object, the greater its kinetic energy. The faster the particles vibrate, the greater their kinetic energy.

When a particle is heated, its temperature will rise and the particle will move fast because it gains kinetic energy. Meanwhile, when a particle loses heat, the temperature of the particle will decrease, this causes a decrease in the kinetic energy of the particle due to heat loss so that the particle moves slower.

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The speed of the satellite in terms of kilometers per second is 455.89 km/sec

The speed of the satellite = 17,000 miles/hour

The speed of the satellite can be converted into kilometers/second by converting the miles into kilometers and then the hour into seconds

               1 miles = 1.609 km

Thus, the speed of the satellite,

          = 17,000 x 1.609 km/hour

          = 27,353 km/hr

Then, the speed of the satellite in one second is

          1 hour = 60 seconds

Thus, the speed of the satellite,

            = 27,353 x 1/60 km/sec

            = 455.89 km/sec

Thus, the speed of the satellite is 455.89 km/sec

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