In a football game, a 140 kg linebacker runs at a speed of 4 m/s while a 70kg safety runs at 8m/s. It is correct to say

Option (a) is correct- The car has about 42% greater momentum than the SUV.

What is momentum ?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

Therefore, Option (a) is correct- The car has about 42% greater momentum than the SUV.

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The value of Young's modulus will be 6.78*10^8 N/m^2

Linear elastic solid materials have a mechanical characteristic called Young's modulus (Y), which is also referred to as the elastic modulus. It explains how strain (proportional deformation) and stress (force per unit area) interact with one another in a material.

The stiffness of a solid or its resistance to elastic deformation under stress is measured by the Young's modulus (E or Y). It connects strain (proportional deformation) along an axis or line to stress (force per unit area).

Given elongation delta L=1.10 m

Mass of A=65.0 kg,

L=45.0 m

D=7 mm

radius =  r=7/2=3.5 mm

Since we know the Young's Modulus (Y) Can be defines as [tex]Y=\frac{\text { stress }}{\text { strain }}=\frac{\mathrm{F} / \mathrm{A}}{\Delta l / L}[/tex]

Now, (4/{L)=(1.10 m/45.0 m)=0.0244

[tex]\begin{aligned}\ \frac{F}{A}=\frac{M g}{A} & =\frac{65 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{\pi r^2} \\& =\frac{65 \mathrm{~g} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{3.14 \times\left(3.5 \times 10^{-3}\right)^2} \\& =\frac{65 \times 9.8}{3.14 \times 12.25 \times 10^{-6}} \mathrm{~N} / \mathrm{m}^2 \\& =\frac{637}{38.465} \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\\frac{F}{A} & =16.56 \times 10^6 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

Therefore, the value of Young's modulus will be

[tex]$$\begin{aligned}& Y=\frac{F / A}{\Delta l / L}=\frac{16.56 \times 10^{-6} \mathrm{~N} / \mathrm{m}^2}{0.0244}=\left(678.688 \times 10^6\right) \mathrm{N} / \mathrm{m}^2 \\& Y=6.78 \times 10^8 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]

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13824 x 10^3 J electrical energy is converted to light and thermal energy by a 160 w light bulb in one day

Thermal energy is the movement of the molecules within an object or substance. Every material has heat energy; the sun is the primary thermal energy source in our solar system. The transfer of thermal energy through one material or item to another is known as heat.

Given,

Power = P = 160 W

time = t = 1 day = 24 hours = 24 x 3600 sec = 86400 sec

energy = power x time = 160 x 86400 = 13824 x 10^3 J

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As air is blowing across the top of a soft drink bottle, it reverberates. The frequency grows as the chamber's length lengthens.

The frequency of physics is the number of waves that pass by a specific location in a time period. According to this concept, how several cycles or waves do a body in periodical motion experience in a single unit of time?

The distance between normal incidence (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in place or over a wire. In wireless systems, this length is often expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).

Therefore, As air is blown, a soda pop bottle reverberates.

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Based on the age of the light- and dark-colored regions of the Moon and the number of craters observed in these regions, we know that impacts in the inner Solar System rapidly decreased approximately 3 billion years ago.

The light-colored areas of the Moon's surface are roughly 1 billion years older than the dark-colored regions.

The dark patches are basalt-based juvenile plains known as maria. The basalt poured in and inundated the region left by a massive asteroid or comet collision. The bright regions are the highlands, which are raised mountains caused by impacts.

The light-colored material is found in portions of the Moon known as the highlands, which represent the Moon's oldest crust.

The lunar highlands are the earliest lunar features. This is mostly determined by the amount of impact craters found in various locations of the moon.

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True. Keeping the terminals and cable connections clean helps to ensure a good electrical connection, which can prolong the life of the battery.

Keeping the terminals and cable connections of a battery clean is important for prolonging the battery's life. Dirt, corrosion, or other buildup on the terminals can create resistance in the circuit, which can lead to overheating and damage to the battery. This can cause the battery to charge and discharge less efficiently, reducing its overall capacity and lifespan. To clean the terminals, you can use a wire brush or a toothbrush with baking soda and water to scrub away any corrosion. Then, dry the terminals and cables thoroughly before reconnecting them to the battery. This will ensure a good electrical connection and a longer-lasting battery.

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The orbital speed of Dactyl is approximately 0.0173 meters per second.

To calculate the orbital speed of a Dactyl, we can use the formula:

v = √(G * M / r) where:

So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )

        = √ ( 2.98 x 10^-5 m/s^2 )

        = 0.0173 m/s

Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.

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When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.

When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.

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From this evidence, you can conclude that the seafloor is not a static feature and is constantly being renewed through the movement of tectonic plates and the creation of new crust at mid-ocean ridges. The age of the seafloor can be used to help understand the history and dynamics of the Earth's crust and how it has evolved over time.

A boy weighing 40 kg jumps off a 600 kg raft horizontally. If the youngster is leaving the raft at a velocity of 4.0 m/s, the raft will be moving at a speed of 0.26 m/s.

The conservation of linear momentum is a general law of physics that states that no single item, or system of objects, experiences a change in the quantity called momentum that describes motion. Momentum is the force needed to stop an item moving at a certain speed in a given amount of time. It is calculated by multiplying an object's mass by its velocity.

Given,

mass of the boy (m₁) = 40 kg

mass of the raft (m₂) = 600 kg

speed of the boy (u₁) = 4 m/s

We have to find out the speed of the raft (u₂)

By conservation of linear momentum, We get

m₁u₁ = m₂u₂

⇒ u₂ = (m₁ ₓ u₁)/m₂

⇒ u₂ = (40*4)/600

⇒ u₂ = 0.26 m/s

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Torque is produced by multiplying the length of a lever arm by the force acting perpendicular to the lever arm. There are two conceivable orientations for the scalar quantity torque: clockwise and anticlockwise.

A torque is created when a force is applied perpendicular to a lever arm. The lever arm or moment arm is the length that extends perpendicularly from the pivot point, or the centre of rotation, to the point at which the force is applied. A torque is always defined with reference to a pivot point.

A torque multiplier multiplies the torque applied to the bolt with each gearing level. For instance, a 5:1 torque multiplier will result in an output.For example, a torque multiplier with a 5:1 ratio will result in an output at the shaft that is five times the torque, but the speed will only be one fifth of the original since no energy can be created.

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The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.

Efficiency = (0.50) * (0.25) = 0.125 or 12.5%

So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.

How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.

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This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.

It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.

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Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.

Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.

With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.

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Answer: a freezer with the door shut

Explanation:

A) Using algebra, the required speed V=(2gh)1/2

B)  With the no friction, the final speed does not  depend on the mass of the car.

C) With no friction, the final speed does depend on the steepness of the hill.

D) The final speed of the car if the height of the hill is 55 cm is 3.569 m/s.

Given that there is no friction considered. Thus, the total energy of the system can be considered as conserved.

Thus, sum of kinetic and potential energy will be constant.

K = U

mu 2   = mgh ......................................(1)

m = mass of object

v = speed of object

g = acceleration due to gravity = 9.8 m/s2

h = height of object with respect to a reference position

Thus for an object at a height from ground, will have its potential energy converted to kinetic energy during it's descent.

(A) from (1)

mv2 = 2mgh

Thus,   v2 = 2gh

            v = (2gh)1/2

this, is the velocity of an object from conservation of energy.

(B) with no friction, the enrgy is taken to be conserved. from the answer of (A), we know,

v = (2gh)1/2.

clearly this equation doesn't depend on mass.

thus, final speed doesn't depend on the mass.

(C) Given height of hill , h = 65cm = 0.65 m

from (1),    v = (2gh)1/2.

the potential energy of car at the hill top = mgh

this potential energy gets entirely converted to kinetic energy at the bottom of hill due to conservation of energy. Thus

v = (2 x 9.8 x 0.65)1/2

   =  3.569 m/s

Thus, the final velocity of the car is 3.569 m/s

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The speed depends on the gravitational force acting on the object in the rolling motion of the object that is acting on it at a continuous moment rate. the speed increases at a constant rate.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.

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A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground. Then the work done by this individual is7.7×[tex]10^{5}[/tex]J

The work done by the skydiver can be calculated using the equation

W = mgh,

where m is the mass of the skydiver, g is the acceleration due to gravity, and h is the altitude of the skydiver.

In this case, the mass of the skydiver is 78 kg, g is 9.8 m/s2, and the height is 870 m.

Thus, the work done by the skydiver is 7.7 ×[tex]10^{5}[/tex] J.

This work is the energy that the skydiver has gained from the gravitational potential energy due to the difference in altitude between the ground and the skydiver's position. The work can be converted into kinetic energy due to the skydiver's speed of 62 m/s.

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Graphite: according to table 1, which of the following materials is the poorest electrical conductor.

What is conductor?

Conductor is an electrical device or material that is capable of allowing electric current to flow through it. It is used in a variety of applications ranging from wiring in buildings to the transmission of electricity over large distances.

Conductors are typically made from metals, such as copper and aluminum, but certain types of materials, such as semiconductors, can also act as conductors.

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The force of gravity between these pairs of objects: a 1-kg mass and a 2-kg mass that are 1 m apart is 13.[tex]10^{-11}[/tex]34N.

For  2 m apart 6.67[tex]10^{-11}[/tex]N.

For 2-kg mass that are 2 m apart; and two 2-kg masses that are 1 m apart is 26.68N.

The resultant (vector sum) of two forces is the force of gravity on Earth: (a) the gravitational pull according to Newton's universal law of gravitation; and (b) the centrifugal force, which is the outcome of choosing an earthbound, rotating frame of reference.

Force between two object is calculated f=Gmm/r^2.

G=6,67*10^-7

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The number of wavelengths increases corresponding to the orbital number of the shell.

The quantum mechanical model of atoms represents the three-dimensional location of the electron in a probabilistic manner using a mathematical function known as a wavefunction, which is sometimes denoted as. Orbitals are another name for atomic wavefunctions. The wavefunction's squared magnitude reflects the probability distribution of locating the electron in a certain region of space. As a result, atomic orbitals characterize the regions of an atom that are most likely to contain electrons. Three quantum numbers characterize an atomic orbital. Any positive integer can be used as the primary quantum number, n. n is connected to the general region for orbital energy value and the average distance of an electron from the nucleus. 

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The minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

Given:

M = Mass of the window washer

g = Acceleration due to gravity

The forces acting are:

Force due to gravity = M × g

Tension in the rope = Force applied by the washer

The net force is zero. Therefore, the tension is:

T - M × g = 0

T = Mg

Hence, the minimum force that allows the window washer to move upward is Mg. The force is in terms of mass and acceleration due to gravity.

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This sample tends to break into cubes and is not extremely hard, perhaps just slightly harder than or as hard as a fingernail.

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Galena is not very hard, maybe slightly harder than or as hard as a fingernail and seems to break into cubes.

The main source of lead is galena, which is frequently mined for its silver content. In ceramic glaze, it can serve as a source of lead.

Galena was designated as Missouri's official mineral in 1967. The Joplin-Granby region in southwest Missouri, which is a part of the Tri-State Mining District, saw a boom in galena mining. Crawford, Washington, Iron, and Reynolds Counties all have rich deposits.

Galena is lead sulfide with a specific gravity of 7.4 to 7.6 and a Moh's hardness of 2.5, making it actually rather soft. However, it is VERY heavy. It weighs roughly 700 pounds per cubic foot, for comparison.

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The kinetic energy would be 96 J, for the car moving at 4m/s and with 3kg mass.

The kinetic energy (Ek) of the toy car is given by Ek = ½ mv2, where m is the mass of the car (3 kg) and v is the velocity (4 m/s). Thus, the kinetic energy of the car is 24 J. If the car were moving twice as fast (8 m/s), the kinetic energy would be 96 J. The units are Joules (J).

Kinetic energy is the energy of a body or system due to its motion. It is the energy that an object has due to its motion. Kinetic energy is equal to one half of the mass of the object multiplied by the square of its velocity.

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The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.

The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C.  This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.

This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.

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He accomplished no job. When Taylor's car broke down, he attempted to push it with 8,000 newtons of force before giving up and calling a tow truck.

The mechanical advantage is how many times a machine can multiply the force of the effort. The mechanical advantage of the machine increases when the effort force is exerted across a bigger distance.

Force multipliers are tools that lessen the force required to move an object. Force multipliers come in handy when lifting heavy objects or performing other actions that call for a lot of force.

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Answer:

Mechanical energy.

Explanation:

Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy or potential energy.

The battery current is I=9.14A

As per the details share in the above question are as bellow,

The details provided are,

Let us suppose that the current I is flowing through the battery.

The resistor are connected in parallel. i.e

[tex]$3 \Omega$[/tex] and [tex]$5 \Omega$[/tex].

Hence,

[tex]3 \Omega \| 5 \Omega & =\frac{3 \Omega \times 5 \Omega}{3 \Omega+5 \Omega}[/tex]

Further solving it we get,

[tex]& =\frac{15}{8} \Omega[/tex]

The resistor are connected in parallel. i.e

[tex]$3 \Omega$[/tex] and [tex]$1 \Omega$[/tex] .

Hence,

[tex]3 \Omega \| 1 \Omega & =\frac{3 \Omega \times 1 \Omega}{3 \Omega+1 \Omega}[/tex]

Further solving it we get,

[tex]& =\frac{3}{4} \Omega[/tex]

The series sum of the total equivalent resistance is  [tex]\frac{15}{8}[/tex]Ωand [tex]$\frac{3}{4} \Omega$[/tex] resistors.

[tex]R_{e q} & =\frac{15}{8} \Omega+\frac{3}{4} \Omega \\[/tex]

Adding the rational number we get,

[tex]& =\frac{15+6}{8}[/tex]

Further solving it we get,

[tex]& =\frac{21}{8} \Omega[/tex]

Identify the battery current value.

[tex]& \mathrm{I}=\frac{V}{R_{e q}}[/tex]

Substitute the value in above equation we get,

[tex]& \mathrm{I}=\frac{24}{\left(\frac{21}{8}\right)}[/tex]

Further solving it we get,

I=9.14A

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Note: The diagram of the question is added bellow,

Both of you have the same amount of potential energy since your masses are the same.

In physics, potential energy is the power that a substance retains as a result of its position in respect to other things, internal pressures, electric charge, or other substances. Potential energy is a type of stored energy that depends on the interactions of various system elements.

The potential energy of a spring rises when it is crushed or stretched. The potential energy of a steel ball increases if it is raised above the ground as opposed to falling to it. Potential energy is the name for the energy that exists in everything that is raised from rest and can be released at a later time.

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The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.

The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.

The cylinder's moment of inertia about its axis is (MR^2)/2.

Where, M - mass of object, R = radius of the cylinder.

After putting all the values. we will get,

[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]

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