B. Exercises
Exercise 1
Direction: identfy the plumbing symbols in each item Write your answer on the space
provided before each number​

Answer:

The appropriate alternative is Option B (0.105 sec.).

Explanation:

The given values are:

Elastic modulus,

Y = 9.10 × 10¹⁰ N/m²

Mass,

m = 10.0 kg

Length of rod,

l = 2.00 m

Diameter,

d = 1.00 mm

Now,

⇒ \(Keq=\frac{AY}{l}= \frac{\pi D^2 Y}{4l}\)

On substituting the values, we get

⇒                   \(=\frac{\pi \times 10^{-6}\times 9.1\times 10^{10}}{4\times 2}\)

⇒                   \(=3.574\times 10^4\)

The time period will be:

⇒ \(T=2\pi \sqrt{\frac{m}{Keq} }\)

On substituting the above values, we get

⇒     \(=2\pi \sqrt{\frac{10}{3.574\times 10^4}}\)

⇒     \(=0.105 \ seconds\)

The time period resulting oscillations will be 0.1005 seconds.

The period is the amount of time it takes for a particle to perform one full oscillation. T is the symbol for it. Taking the reciprocal of the frequency yields the frequency of the oscillation.

The given data in the problem is;

\(\rm \gamma\) is the elastic modulus=9.10 × 10¹⁰ N/m²

m is the mass= 10.0 kg

l is the length of brass rod= 2.00 m

d is the diameter of 1.00 mm

The value of the equivalent stiffness will be;

\(\rm K_{eq}= \frac{AY}{l}\\\\ \rm K_{eq}= = \frac{\pi d^2 Y}{4l} \\\\ \rm K_{eq}=\frac{3.14 \times 10^{-6}\times 9.1 \times 10^{10} }{4\times 2 } \\\\ \rm K_{eq}= 3.574 \times 10^4\)

The time period of the  oscillation is given by;

\(\rm T = 2 \pi \sqrt{\frac{m}{k_{eq}} } \\\\ \rm T = 2 \times 3.14 \sqrt{\frac{10}{3.574 \times 10^4}\)

\(\rm T = 0.105 \ sec\)

Hence the time period resulting oscillations will be 0.1005 seconds.

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Answer:

The ball has potential energy just like the Longbow has when it is stretched. The other aspect of energy that the bow portrays is kinetic energy. Kinetic energy is the energy of motion. When the string is released, the potential energy is converted to kinetic energy in movement of the arrow

Explanation:

Answer:

It has potential energy not kinetic

Explanation:

Answer: 0.25A

Explanation: To calculate the current in the circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):

I = V / R

In this case, the total resistance of the circuit is the sum of the individual resistances of the three bulbs in series, which gives us:

R = 2 + 2 + 2 = 6 ohms

The voltage of the battery is given as 1.5V.

So, using Ohm's Law, we can calculate the current in the circuit as:

I = V / R = 1.5 / 6 = 0.25 amps

Therefore, the current in the circuit is 0.25 amps.

The current in the circuit is 0.25 A.

Voltage across the circuit, v = 1.5 V

Resistance in each resistors, R = 2Ω

Since, the resistors are connected in series combination, their effective resistance,

R' = 3R

R' = 3 x 2

R' = 6Ω

According to Ohm's law, if the temperature and all other physical factors remain constant, the voltage across a conductor is directly proportional to the current that is flowing through it.

So, according to Ohm's law,

V = IR

Therefore, current flowing through the given circuit,

I = V/R

I = 1.5/6
I = 0.25 A

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Explanation:

There are 1024/2 = 512 SHEETS   (each is numbered on two sides)

  3 inches * 25.4 mm/inch / 512 sheet = .1488 mm per sheet

Answer:

3.6 N   Kinetic friction

Explanation:

3 )   Ff = uk * Fn = 3.6 N

Answer:

d

Explanation:

The total head of the pipe is 430,400 Pa.

The total head of the pipe is the total pressure of the pipe and it is calculated as follows;

Pt = Pi + ¹/₂ρv² + ρgh

where;

Pt = ( 350,000) + ¹/₂(1000)(2)²  +  (1000 x 9.8 x 8)

Pt = 430,400 Pa

Thus, the total head or total pressure of the pipe depends on the density of water, speed of water and height above datum.

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Answer:

Displacement, force, momentum, and velocity are all vectors

Explanation:

Vectors are quantities that show direction; which all of the above do. The rest of the terms are scalar quantities

Answer:

The earths core is made up of heavy elements such as iron and nickel and along with lighter elements such as potassium and sodium!!

Explanation:

i took a quiz and got this answer right!

The earth's core and surface are made up of:

The core is made up of heavy elements, such as iron and nickel, and lighter elements, such as potassium and sodium make up the surface.

The deepest layer of Earth's crust is its inner core. The extremely hot and dense core of Earth is where life exists. The chilly, brittle crust, the mainly solid mantle, and the ball-shaped core are all covered by each other.

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When three particles q1, q2, and q3 are in a straight line, the force experienced by q2 depends on the distance between the particles, the magnitude of the charges of the particles, and the relative position of the particles. The electric force on a charge q1 from a charge q3, which is at a distance r3 from the first charge, is governed by Coulomb’s Law.

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A thermal conductor, such as water is the type of material that is good at transferring heat. Option B is correct.

Heat conductors are substances that effectively conduct thermal energy.

The kind of substance that is effective in transferring heat is a thermal conductor, such as water.

Metals have excellent heat conductivity. Heat insulators are substances that poorly conduct thermal energy. Thermal insulators include gases like air and materials like plastic and wood.

Water conducts heat 24.17 times more quickly than air. The kind of substance that is effective in transferring heat is a thermal conductor, such as water.

Hence, option B is correct.

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The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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The difference in mass is then 2.01649u - 2.01355u = 0.00294u. This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.

What is mass?
Mass is a measure of the amount of matter an object contains. It is different from weight, which is a measure of the force gravity exerts on an object. Mass is typically measured in kilograms (kg) or grams (g).

The energy released in this reaction is equal to the mass difference between the products and the reactants multiplied by the speed of light squared. In this reaction, the mass of the reactants (1 proton and 1 neutron) is equal to 1.007825u + 1.008665u = 2.01649u.

The mass of the product (deuterium nucleus) is 2.01355u.  

This means that the energy released in this reaction is equal to 0.00294u × (c^2) = 4.621 x 10^-12 J.

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Answer: D

Explanation:

north=direction

200-meter= distance

less than 5 minutes= time

If an airplane is  is accelerating down a runway at 2.5 m/s². It's velocity changes 2.5 m/s in each second.

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Hence, the velocity of the airplane changes 2.5 m/s in each second  when it  is accelerating down a runway at 2.5 m/s².

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According to Newton's law of gravitation, the gravitational force between 2 bodies varies directly with the product of the masses and inversely with the square of the distance between them. This means that as the distance increases, gravitational force decreases

C. As distance increases, gravity decreases.

The magnitude of the magnetic force produced on a current carrying wire with current I and length L which is placed in a region with a magnetic field B that forms an angle θ with the wire is given by:

Replace I=6A, L=0.15m, B=0.4T and θ=30º to find the magnitude of the force on the wire:

Therefore, magnitude of the force on the wire is equal to 0.18N.

Ibn Sina, also known as Avicenna, was a Persian polymath who made significant contributions to a wide range of fields, including philosophy, medicine, and science. However, his work in the field of the science of forces is not as well known as his contributions to other areas.

Ibn Sina's most significant contributions to the science of forces were in the field of mechanics, the study of motion and the forces that cause it. In his work, he described the concept of momentum, which is the product of an object's mass and velocity, and he also made important contributions to the study of the motion of projectiles.

However, it is important to note that while Ibn Sina made some important contributions to the science of forces, his work in this field was not as influential as the work of other scientists and philosophers, such as Sir Isaac Newton, who made more significant contributions to the development of the laws of motion and the theory of universal gravitation.

Answer:

b Day-to-day condition of the atmosphere

Explanation:

Weather is short term, Climate is long term

Answer:

Average atmospheric condition.

Explanation:

An autobiography, like a memoir, is the writer's recounting of his or her life and is written in the first person, making the writer the protagonist of the narrative.

Contemporary/Realistic: In order to accurately portray our environment and society, realistic fiction develops fictional people and circumstances. Growing up and dealing with social and personal issues are the main themes. Characters in this genre are depicted as they learn about both themselves and others.

Historical and contemporary fiction make up realistic fiction's two subgenres. Unlike current fiction, which takes place in the present or recently past, historical fiction takes place at a period that is far enough back in history to be deemed history.

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Answer: the answer is b

Explanation:

edge

The type of image produced by the converging lens when object O is at that position will be virtual and enlarged, Option D.

A virtual image is an image that is formed when light rays do not actually converge at a single point, but instead appear to converge when they are extended backwards. A virtual image is typically created by objects that are behind a lens or mirror that diverts the light rays in such a way that they appear to come from a different location.

An enlarged image, on the other hand, refers to a visual representation that has been magnified or made larger than the original size of the object being viewed.

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The velocity of the freely falling body after the time 2 second is found as  49.6 m/s.

For the given question-

The freely falling body has the speed at an instant as u = 30 m/s.

Acceleration due to gravity g = 9.8 m/s².

After time t = 2 sec, the final velocity v m/s.

Using equation of motion,

v = u + gt

v = 30 + 9.8 x 2

v = 49.6 m/s.

Thus, the velocity of the freely falling body after the time 2 second is found as  49.6 m/s.

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Answer:

spring 1 has less potential energy

Explanation:

since spring 2 is clampped down further it will have a greater effect but since sping 1 is barely clamped down it wont show as much energy

The SI unit of mass is the kilogram

Answer:

B. They are smaller and made of rocky material

Explanation:

i think it's right??

The speed of the wave from the calculation that we have done is 14 m/s

To find the wave speed, we need to know the frequency and wavelength of the wave. These values can be measured experimentally or calculated based on the properties of the medium through which the wave is traveling.

For example, the wavelength of a sound wave can be determined by measuring the distance between two consecutive points of maximum compression or rarefaction, while the frequency can be measured using a frequency meter or calculated based on the properties of the sound source.

We know that;

Frequency = 7 cycles/s

Wavelength = 2 m

Wave speed = λf

= 7 cycles/s * 2 m

= 14 m/s

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In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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The net force on the airplane window of area 1800 cm² is 3469.47 Pa.m² .

Given:

Pressure inside the cabin: 0.95 atm

Pressure outside the cabin: 0.76 atm

Area of the airplane window: 1800 cm²

Now to find the net force on the airplane window, we can calculate the pressure difference between the inside and outside of the cabin and to calculate the pressure difference, we subtract the outside pressure from the inside pressure.

Pressure Difference = Pressure inside - Pressure outside

Pressure Difference = 0.95 atm - 0.76 atm

Pressure Difference = 0.19 atm

The area of the airplane window is given as 1800 cm². To simplify calculations in SI unit we convert the area to square meters:

Area in m² = (Area in cm²) / 10,000

Area in m² = 1800 cm² / 10,000

Area in m² = 0.18 m²

As we know,

Net Force = Pressure Difference * Area

Net Force = 0.19 atm * 0.18 m²

Net Force = 0.0342 atm·m²

To convert the net force to pascals (Pa), we use 1 atm = 101325 Pa. Multiplying the net force by 101325 Pa, we get

Net Force = 3469.47 Pa·m²

Therefore, the net force on the airplane window is approximately 3469.47 pascals times square meters (Pa.m²).

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