he composition of the ancient atmosphere can be determined by analyzing bubbles of air trapped in amber, which is fossilized tree resin. (This is one way we know that the air in the time of the dinosaurs was richer in oxygen than our current atmosphere.) An air bubble appears to be 7.2 mm below the flat surface of a piece of amber, which has index of refraction 1.54. How long a needle is required to reach the bubble

Answer:

90.3125 m

Explanation:

\(s = ut + \frac{1}{2} a {t}^{2} \)

a = 10m/s^2 (constant)

S=height

U=initial velocity

a= gravitational acceleration

t= time

s = 0 + 1/2 * 10 * 4.25 ^2

u is 0 because it is dropped without velocity

s =90.3125 m

Answer:d

Explanation:lmk if I'm wrong

The 5 errors are 1. "its" is used instead of "their", 2. "their" is used instead of "its", and 3. " The pronoun "it" is unclear, 4. "its" is used instead of "their", and 5. "their" is used instead of "his/her/their".

An error in English refers to a mistake or incorrect usage of grammar, spelling, punctuation, syntax, or vocabulary that affects the clarity and meaning of a sentence or a piece of writing.

1. Error: "its" is used instead of "their".

Correction: "Most of today's submarines are alike in their basic technology."

2. Error: "their" is used instead of "its".

Correction: "Each of these amazing vessels depends for its diving on tanks that are used for ballast, or weight."

3. Error: "most of the tanks are refilled with compressed air, making it lighter." The pronoun "it" is unclear and could refer to either the tanks or the ship.

Correction: "most of the tanks are refilled with compressed air, making the ship lighter."

4. Error: "its" is used instead of "their".

Correction: "While the ship is underwater, many of the sailors carry out their navigation duties with radar, sonar, and periscopes."

5. Error: "their" is used instead of "his/her/their".

Correction: "Everyone in a submarine crew is well trained for his/her/their specific duties and tasks." (Note: "their" is becoming more accepted as a gender-neutral pronoun, but "his/her" or "their" with a specific noun like "crew members" might be clearer in this context.)

Therefore, The correct paragraph is "(6.) Most of today's submarines are alike in their basic technology. (7.) Each of these amazing vessels depends for its diving on tanks that are used for ballast, or weight. (8.) In preparation for a dive, many of the tanks are flooded with seawater, increasing the ship's weight; to surface again, most of the tanks are refilled with compressed air, making it lighter. (9.) While the ship is underwater, many of the sailors carry out their navigation duties with radar, sonar, and periscopes. (10.) Everyone in a submarine crew is well trained for their specific duties and tasks."

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The specific heat capacity of silver is {c} = 0.24 J/(kg °C).

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases by 1 °C. Its units are J/(kg °C).

Given is that 55g of silver absorbs 197.9 joules of heat and the temperature rises by 15 °C.

Mathematically, we can write the specific heat capacity as -

Q = mcΔT

where -

{Q} → heat energy

{m} → mass

{c} → specific heat capacity

{ΔT} → change in temperature

We can write -

Q = mcΔT

197.9 = 55 x (15 - 0) x c

197.9 = 55 x 15 x c

c = 197.9/825

{c} = 0.24 J/(kg °C)

Therefore, the specific heat capacity of silver is {c} = 0.24 J/(kg °C).

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I think the answer is A

Explanation:

this is my answer this is helpful for you

The space cruiser is 11070000 m far from the planet's surface

The following data were obtained from the question:

We can obtain the distance of the space cruiser from the planet's surface as follow:

s = ut + ½gt²

s = (0 × 600) + (½ × 61.5 × 600²)

s = 0 + (½ × 61.5 × 360000)

s = 0 + 11070000

s = 11070000 m

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Answer:

1.2703 km

Explanation:

The speed can be calculated using the formula;

Speed (m/s) = distance (m) ÷ time (s)

Based on the information in this question, it took 3.7 seconds for a sound with speed of 1236 km/h to reach John. The distance will be:

Distance = speed × time

However, we need to convert the time in seconds (s) to hour (hr).

1 second = 0.000277778 hour

3.7 seconds = 0.00102778 hours.

Hence,

distance = 1236 × 0.00102778

Distance = 1.2703 km

The flux through the large cube is four times that through the small cube.

Electric flux is the rate at which the electric field flows through a given area. The electric flux is directly proportional to the number of electric field lines going through the virtual surface.

i.e. Flux is directly proportional to Area.

Let A1 = Area of gaussian surface with length L.

     A2= Area of gaussian surface with length 2L.

Since this is a cube, area of cube = \(6L^{2}\) , where L = length of side

So, A1 = \(6L^{2}\) and A2 = \(24L^{2}\)

On dividing these two, we get A1/A2 = 1/4

i.e. A2 = 4 A1

Hence the flux through the large cube is four times that through the small cube.

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A paper pinwheel is spinning in the wind.

Which statement is correct about the forces responsible for the rotation?

The components of gravity and the force of wind that point through the pivot are responsible for the rotation.

Only the perpendicular component of wind is responsible for the rotation, because gravity points downward.

Only the perpendicular component of gravity is responsible for the rotation, because wind points toward the pivot.

The perpendicular components of gravity and the force of wind are responsible for the rotation.

Answer:

Only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot.

Explanation:

A pinwheel is a plaything that is made up of paper that is designed to spin when the wind comes in contact with it. The paper is held fast to its axle by a pin which enables it to spin.

Therefore, if the pinwheel is spun anti-clockwise, it brings electrical energy, converting the wind energy and only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot.

Figure B5.1 is a diagram showing a wave travelling along a string. The wave is propagating in the rightward direction, as indicated by the curved arrows.

Direction is a type of guidance that provides the recipient with specific instructions on how to proceed. Direction can involve information on where to go, what to do, or what to avoid. It could be used to provide instructions on a task, a journey, or an event. Direction could also be used to provide motivation and help someone stay focused on their goals. Direction can be provided verbally, through writing, or through body language. It can come from a supervisor, a teacher, or a parent. Direction is important in helping someone follow their path and achieve their goals.

The wave is depicted by a series of oscillations along the string, represented by the vertical lines. The amplitude of the wave is represented by the distance between the highest and lowest points of the oscillations. As the wave travels in the rightward direction, the oscillations move along the string, and the amplitude remains unchanged.

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The young's modulus in a cantilever will be 3.92 x 10¹⁰ N/m².

Young's modulus (E) is a material property that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress () to tensile strain (). Where stress denotes the amount of force applied per unit area ( = F/A) and strain denotes the extension per unit length

Given that the length is 1m which is suspended by a load of 150g. The depression is found to be 4cm. The thickness of the beam is 5mm and the breath is 3cm.

The young's modulus will be calculated by the formula below,

Y = (4gl³) / (bd³) x ( M / y )

Y = ( 4 x 9.81 x 1³ x 0.150 ) / ( 0.03 x 0.005³ x 0.04 )

Y = 3.92 x 10¹⁰ N/m².

Therefore, young's modulus will be 3.92 x 10¹⁰ N/m².

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Answer:

T = 17649.03 N = 17.65 KN

Explanation:

The tension in the cable must be equal to the apparent weight of the passenger. For upward acceleration:

\(T = W_A = m(g+a)\\\)

where,

T = Tension in cable = ?

\(W_A\) = Apparent weight

m = mass = 1603 kg

g = acceleration due to gravity = 9.81 m/s²

a = acceleration of elevator = 1.2 m/s²

Therefore,

\(T = (1603\ kg)(9.81\ m/s^2+1.2\ m/s^2)\\\\\)

T = 17649.03 N = 17.65 KN

Answer: Ok so We already know that velocity is on the x-axis.

Since acceleration = Force / Mass

Here the Force is downward due to the gravitational pull or we can say it is along y-axis.

Since acceleration is directly proportional to force, so acceleration is also along y-axis. This means that velocity & acceleration are perpendicular to each other.

Example:

Let us assume that an aeroplane is flying parallel to the horizontal plane. The aeroplane will experience the acceleration in several directions. One of them here is the gravitational pull which is perpendicular to the the apparent velocity. So the net velocity & its direction will depend upon the vector sum total of all the forces/acceleration acting on it. Also because of this gravitational pull the aeroplane rotates along with the earth, which is a proof that the force/g experienced by it does not go waste.

Explanation:

Answer:

Hope it helps you

Explanation:

An electrostatic force is an attractive as well as replusive force caused by the electric charge particles.

Magnetic force is a consequence of electromagnetic force and is caused due to the motion of charges.

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Answer:

The acceleration during the first 5.6 km of travel is closest to 0.16 m/s²    

Option c) 0.16 m/s² is the correct answer.

Explanation:

Given the data in the question;

since the train starts from rest,

Initial velocity; u = 0 m/s

final velocity; v = 42 m/s

distance covered S = 5.6 km = ( 5.6 × 1000 )m = 5600 m

acceleration a = ?

From the third equation of motion;

v² = u² + 2as

we substitute in our values

( 42 )² = ( 0 )² + [ 2 × a × 5600 ]

1764 = 0 + [ 11200 × a ]

1764 = 11200 × a

a = 1764 / 11200

a = 0.1575 ≈ 0.16 m/s²          { two decimal place }

Therefore, The acceleration during the first 5.6 km of travel is closest to 0.16 m/s²    

Option c) 0.16 m/s² is the correct answer.

Answer:

attracting iron and producing a magnetic field

Answer:

1. 75 N

2. 6.8351 N

3. 700 N

Explanation:

1. Determination of the weight of the bowling ball:

Mass (m) = 7.5 kg

Acceleration due to gravity (g) = 10 m/s²

Weight (W) =?

Weight = mass × acceleration due to gravity

W = m × g

W = 7.5 × 10

W = 75 N

2. Determination of the weight of the object.

Mass (m) = 683.51 g

Weight (W) =?

We'll begin by converting 683.51 g to kg. This can be obtained as follow:

1000 g = 1 Kg

Therefore,

683.51 g = 683.51 g × 1 Kg / 1000 g

683.51 g = 0.68351 Kg

Thus, 683.51 g is equivalent to 0.68351 Kg.

Finally, we shall determine the weight of the object as follow:

Mass (m) = 0.68351 Kg

Acceleration due to gravity (g) = 10 m/s²

Weight (W) =?

Weight = mass × acceleration due to gravity

W = m × g

W = 0.68351 × 10

W = 6.8351 N

3. Determination of the weight of the KHS student.

Mass (m) = 154 lb

Weight (W) =?

We'll begin by converting 154 lb to Kg. This can be obtained as follow:

2.2 lb = 1 Kg

Therefore,

154 lb = 154 lb × 1 Kg / 2.2 lb

154 lb = 70 kg

Thus, 154 lb is equivalent to 70 kg.

Finally, we shall determine the weight of the KHS student as follow:

Mass (m) = 70 Kg

Acceleration due to gravity (g) = 10 m/s²

Weight (W) =?

Weight = mass × acceleration due to gravity

W = m × g

W = 70 × 10

W = 700 N

Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

Answer:

- 0.33 m/s

Explanation:

An illustration is shown above,

In this case, since the two objects move in opposite directions before collision, then move together, the formula to be used is,

m1u1 - m2u2 = (m1 + m2)v

Where,

m1 = mass of the first object

u1 = initial velocity of the first object

v1 = final velocity of the first object

m2 = mass of the second object

u2 = initial velocity of the second object

v2 = final velocity of the second object

Therefore,

(4.0 • 3.0) - (8.0 • 2.0) = (4.0 + 8.0)v

12 - 16 = 12v

-4 = 12v

Divide both sides by 12,

-4 / 12 = 12v / 12

-1 / 3 = v

v = -0.33 m/s

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Answer:

The correct answer is - B. Increase the time it takes to stop the egg once it hits his hand.

Explanation:

In order to catch the egg the force and time makes an impulse to the egg to change its momentum and bring it to rest. In order to change the momentum, one needs to decrease the force exerted onto the egg and increase the time it takes to make it rest.

Less force can be given to the egg by increasing the time to bring it to rest stop the egg once it hits his hand. Other than this it should be caught to the sides.

Biomolecules are fundamental for life. They required both energy supply and building structures.

Biomolecules are organic molecules that fundamental for life and must be ingested from the regular diet.

Biomolecules include proteins (e.g., meal proteins), lipids (fats) and also carbohydrates (e.g., glucose).

Biomolecules required both energy supply (e.g., glucose) and building structures (e.g., amino acids in proteins).

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Answer: Titanium (Ti)

Explanation:

First, each element has a unique atomic number Z, that is equal to the number of protons in the nucleus.

The halogen in period 3 is chlorine (Ch)

Chlorine's atomic number is Z = 17, this means that it has 17 protons.

Now we want to find a transition metal that has 5 more protons, then this transition metal has Z = 17 + 5 = 22

Now we can look at the periodic table and find the element with Z = 22, and if this is in the d-block, then this will be a transition metal.

The element with Z = 22 is titanium (Ti)

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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The indirect comparison method of measurements is a method for measuring quantities that are difficult to measure directly or that cannot be measured directly. The method is based on comparing the quantity to be measured to a known standard or reference quantity that is related to the quantity being measured. The indirect comparison method can be used for measuring a wide range of quantities, including length, mass, volume, and time.

To use the indirect comparison method, the first step is to select a known standard or reference quantity that is related to the quantity being measured. For example, to measure the length of an object, a ruler or tape measure could be used as a standard.

Next, the standard is used to measure the reference quantity, such as the length of the ruler. This measurement is then used to calculate the conversion factor between the reference quantity and the quantity being measured. For example, if the ruler is 30 cm long and the length of the object is 4 times the length of the ruler, then the length of the object is 120 cm.

The indirect comparison method is useful when direct measurement is not possible or when the accuracy of the measurement needs to be improved. It is often used in scientific research and engineering to measure quantities such as distance, speed, and flow rate.

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An example of energy transformation of chemical to thermal to light to sound is Crackling fireplace.

Energy transformation, which we also know as energy conversion, is described as the process of changing energy from one form to another. Energy is a quantity that provides the capacity to perform work or moving, or provides heat.

A Crackling fireplace starts the process of energy transformation from being a chemical to thermal \via heat and then makes a sound.

When an explosive goes off, chemical energy that was stored in it is changed and transferred into sound energy, kinetic energy, and thermal energy.

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Example of energy transformation of chemical to thermal to light to sound is a Crackling fireplace.

Energy transformation which is also know as energy conversion is described as the changing of energy from one form to another. Energy is a quantity that provides the capacity to perform work or moving, or provides heat.

A Crackling fireplace starts the process of energy transformation from being a chemical to thermal through heat and then makes the crackling sound.

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Answer:

In the free fall motion we have that the acceleration is constant and produced by gravity, this acceleration has a magnitude of 32 ft/s2 or 9.8 m/s2 depending on the units you are working with. This means that every second the speed changes a magnitude of 32 ft/2, the velocity will depend of whether the ball is going upward (positive) or downward (negative).

A) At the highest point the ball stops to start the descend, here v=0 ft/s

B) +32 ft/s. The vector is going up, in the next second the velocity is going to be 0 (negative acceleration)

C) V=vf-vo=0-32=-32 ft/s is the constant change in velocity in projectile motion

D) -32 ft/s. The vector is pointing downward

E) V=vf-vo=-32-0=-32 ft/s is the constant change in velocity in projectile motion, 32 ft/s per second

F) Delta V=vf-vo=-32-32=-72 ft/s

g) gravity acceleration is constant 32 ft/s2 (pointing downward vector)

Answer: False

Explanation:

because according to universal law of gravitation, every object attracts every other object in the universe.

according to the newton's third law, for every action there is equal and opposite reaction.

So, both the saturn and pan exerts same force on each other

But from the newton's second law we have, F = ma   &   a = F/m

so, from the above equation acceleration produced by pan is high compared to the acceleration produced by saturn.

Therefore, acceleration produced by saturn is lower than the acceleration produced by pan

but force exerted by saturn is equal to the force exerted by pan

So, the answer is false

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The statement is false. Saturn does not exert a much greater force on the moon Pan than Pan exerts on Saturn.

Newton's law of gravitation states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

According to Newton's third law, there is an equal and opposite response to every action. As a result, both Saturn and Pan exert the same force on one another.

But, according to Newton's second law,

F = ma

a = F/m.

As a result of the preceding equation, the acceleration generated by the pan is greater than that caused by Saturn. As a result, the acceleration generated by Saturn is less than that produced by Pan.

So that the power exerted by Saturn is equivalent to that of Pan.

Hence the statement is false.

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