the radius of an unknown planet is 3 times that of earth. if the planet has the same density as earth, what is the gravitational acceleration on its surface?

The value of Ex = - (Q/(4πε0)) *(x/r³), Ey = - (Q/(4πε0)) ×(y/r³), Ez= - (Q/(4πε0)) ×(z/r³) , for the potential due to a point charge Q at origin.

At infinite distance when an electric charge isn't under the influence of the point charge, the potential is defined as zero. Electric potential at a given position is the quantum of work that has to be done to bring the charge at a finite distance from the point charge.So, the electrostatic potential from a point), at a distance r is given by,

U = 1/4πε0Qr

Both theunit charge and the point charge are positive. So, the work has to be done against the electrostatic force. Therefore, the potential is positive. However, still, if the point charge had negative value, then in that case potential would have been negative.

A) To calculate Ex, we take the partial derivative of V with respect to x: Ex = - ∂V/∂x = - (Q/(4πε0)) × (x/r³)

B) To calculate Ey, we take the partial derivative of V with respect to y: Ey = - ∂V/∂y = - (Q/(4πε0)) × (y/r³)

C) To calculate Ez, we take the partial derivative of V with respect to z: Ez = - ∂V/∂z = - (Q/(4πε0)) × (z/r³)

D) To show that the results of parts (a), (b), (c) agrees with the equation for the electric field of a point charge, we can use the equation for the electric field of a point charge E→ = (Q/(4πε0r²)r^. We can see that, Ex = -(Q/(4πε0))×(x/r²) , Ey = -(Q/(4πε0))×(y/r²), Ez = -(Q/(4πε0))×(z/r²) which is equivalent to the formula for the electric field of a point charge E → = (Q/(4πε0r²)) ^r. So, the results of parts (a), (b), (c) agrees with the equation for the electric field of a point charge.

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Now, the binding energy per nucleon, DeltaE / 32 nucleons for S = 4.36 x 10-11 J / 32

Now, calculating the theoretical mass of 32S,

32S contains 16 protons and 16 neutrons,

Also, we know,

Mass of proton = 1.00728 amu

Mass of neutron =1.00866 amu

1 amu = 1.66 x 10-27 Kg

Thus,

Mass of protons = 16 x 1.00728 amu = 16.1165 amu

Mass of neutrons = 16 x 1.00866 amu = 16.1386 amu

The theoretical mass of 32S = 16.1165 amu + 16.1386 amu = 32.2550 amu

Now, the mass difference (\Deltam) = Theoretical mass - Actual mass

Deltam = 32.2550 amu - 31.9633 amu

Delta m = 0.2917 amu

Converting amu to Kg,

= 0.2917 amu x (1.66 x 10-27 Kg / 1 amu)

Deltam = 4.8443 x 10-28 Kg

Now, we know the formula,

DeltaE = \Deltam x c2

Here, c = 3.00 x 108 m/s

Substituting the known values,

DeltaE = 4.8443 x 10-28 Kg x (3.00 x 108 m/s)2

DeltaE = 4.36 x 10-11 J

The least amount of energy necessary to separate or break down an atom's nucleus into the subatomic particles that make it up is known as nuclear binding energy (which are protons and neutrons).

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The acceleration due to gravity on the planet will be 8g.

Gravity is the force of attraction between objects that is exerted by the masses of those objects. It is the weakest of the four fundamental forces in nature and is most noticeable when two objects of significant mass interact. On Earth, gravity is what keeps us firmly rooted to the ground and is what causes objects to fall when we drop them. It is also what causes the moon to orbit around the Earth and the planets to orbit around the sun.

This is because the acceleration due to gravity is directly proportional to the mass of a body and inversely proportional to the square of its radius. This means that if the mass of a body is doubled and its radius is quadrupled, the acceleration due to gravity will be 8 times the acceleration due to gravity at the Earth.

Therefore, the acceleration due to gravity on the planet will be 8g.

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The acceleration due to gravity on the planet will be g/8

Gravity is the force of attraction between objects that is exerted by the masses of those objects. It is the weakest of the four fundamental forces in nature and is most noticeable when two objects of significant mass interact. On Earth, gravity is what keeps us firmly rooted to the ground and is what causes objects to fall when we drop them. It is also what causes the moon to orbit around the Earth and the planets to orbit around the sun.

This is because the acceleration due to gravity is directly proportional to the mass of a body and inversely proportional to the square of its radius.

As we know,

Charge (q) = GM/R²

Here, R = radius of the planet

M = mass of the planet

G = Gravitational constant

Now, after putting the values we get:

q = (G × 2me) / (4ve)²

or, q = 1/8 (Gme/ve²)

or, q = 1/8 × g

Therefore, the acceleration due to gravity on the planet will be g/8

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The mean free time between collisions for aluminum wire is

1.62 * 10^-20 s and the mean free time between collisions for Iron is

1.68 * 10^-20 s.

Electrons are subatomic particles that carry a negative electrical charge. They are found outside the nucleus of an atom and are responsible for chemical reactions, electrical conductivity, and magnetism.

The mean free time between collisions for electrons in a metal wire can be calculated using the mean free path (λ) and the electron density (n) of the metal. The mean free time between collisions is given by the equation:

τ = λ / v

Where τ is the mean free time, λ is the mean free path, and v is the velocity of the electrons.

Using the formula, we can calculate mean free path:

λ = 1 / (n * σ)

Where σ is the collision cross-section, which is a measure of how likely it is for an electron to collide with an atom in the metal.

For aluminum, the mean free path is approximately:

λ = 1 / (n * σ) = 1 / (8.49 * 10^28 * 2.82 * 10^-15) = 3.51 * 10^-14 m

For aluminum, the mean free time between collisions is:

τ = λ / v = 3.51 * 10^-14 m / (2.18 * 10^6 m/s) = 1.62 * 10^-20 s

For Iron, the mean free path is approximately:

λ = 1 / (n * σ) = 1 / (8.05 * 10^28 * 2.82 * 10^-15) = 3.65 * 10^-14 m

For Iron, the mean free time between collisions is:

τ = λ / v = 3.65 * 10^-14 m / (2.18 * 10^6 m/s) = 1.68 * 10^-20 s

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The given statement that hanging mass is referred to as m and it sets the centripetal force is, false.

Centripetal force is the force acting on an object in curvilinear shifting directed towards the axis of rotation or centre of curvature. Any shifting in a bending path represents accelerated motion, and requires a force directed toward the center of curve of the path.

The centripetal force is delivered by the tension in the string, not the hanging mass. The hanging mass, m, creates a gravitational force pulling downward, but it's the tension in the string pulling the mass towards the center of the circle that provides the centripetal force.

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The 80.50 dollars would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 32.0 mi/gal.

To convert a given amount expressed in terms of unit miles to unit kilometres, use the miles to km formula. There are 1.6 kilometres in a mile.

The currency and monetary unit of the European Union is the euro, denoted by the sign €. Prior to being released as currency notes and coins in 2002, it started out as a noncash monetary unit in 1999. The national currencies of participating EU members and certain non-EU states were replaced by the euro.

Calculation:

Total km so 113km per day for 7 days is 791 km.

Then we change 791km to miles = 491.211 miles.

Since the car is 32 miles per gallon we divide 491.211/32= 15.35 gallons.

We change gallons to liters so we have 15.35gal x 3.785L= 58.09 L

At 1.10 euros per liter is 58.09 x 1.10 = 63.89 euros.

Assume 1 euro =- 1.26 dollars

Change euros to dollars 63.89 x 1.26 = 80.50 dollars.

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The period of this pendulum on the surface of Jupiter is 3.68 sec.

An object is drawn toward the earth's core by the force of gravity. The acceleration brought on by gravity is 9.8 m/s2 on earth. The formula used to determine the acceleration brought on by gravity is g = GM/r2.

Using Newton's equations, we may determine the gravitational pull between two objects. F = G (M x m) / r squared, where M is the mass of one item, m is the mass of the other object, and r is the separation between the centers of the two masses, is the formula for Newton's law of gravitation.

Given:

Period of the pendulum on the Earth = T_e = 1.70 s

Gravitational Acceleration of the Earth = g_e = 9.8 m/s²

Gravitational Acceleration of the Mars = g_m = 3.71 m/s²

[tex]T_m=\sqrt{\frac{g_e}{g_m} } *T_e[/tex]

[tex]T_m=\sqrt{\frac{9.81}{26} } *6[/tex]

[tex]T_m=\sqrt{0.377} *6[/tex]

[tex]T_m=3.68s[/tex]

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The angle from vertical of the axis of the second polarizing filter is found to be be 32.9°.

Your camera's polarizing filter reduces sparkling reflections. The same principles apply to polarising sunglasses. Your eyes are shielded from glare from the road or water by polarising sunglasses. Sunglasses that are polarising can be identified. When unpolarized light strikes a polarizer, the amount of polarised light that emerges is half that of the unpolarized light that struck the polarizer in the first place.

=> I1= 350/2 = 175 w/m2.

I2 = I1 cos^2 Ф

    Ф=> cos^-1 (sqrt (I2/I1))

         => cos^-1 (sqrt(126/175))

         => 32.9°.

Short electromagnetic wave bursts released by several atoms make up unpolarized light. Similar to polarized light, these bursts' electric field directions are random around the wave's path of travel but perpendicular to it.

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A DNA fork is a structure that forms during DNA replication. The double helix structure of DNA needs to be unwound in order for replication to occur. The labeled diagram is attached below.

This unwinding takes place at a specific point on the DNA molecule called the replication fork. The replication fork is formed by the separation of the two complementary strands of the DNA double helix, and it acts as a template for the synthesis of new DNA strands. The replication fork is maintained by enzymes called helicases, which unwind the DNA, and primases, which add short RNA primers to the template strands. The process of replication continues as the two strands of DNA are separated and new nucleotides are added to each strand by DNA polymerase.

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The complete question is as follows:

The time required for the car to accelerate from rest to a speed of 28 m/s is 4 seconds.

Acceleration is the rate of change of velocity of an object with respect to the time taken. An object's acceleration is the net result of any and all the forces which are acting upon the object, as described by the Newton's Second Law of Motion. The SI unit for acceleration is meter per second square (m/s²).

Acceleration is the rate of change in the velocity of an object.

a = (v-u)/t

a = 7m/s²

v = 28m/s

u = 0m/s

t = ?

t = (v-u)/ a

t = (28-0)/ 7

t = 28/ 7

t = 4 sec

The time taken to reach the speed of 28 meter per second is 4 seconds.

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The charge on the sphere is equal to the product of the potential (25.0 kV) and the capacitance of a sphere (4πε0R).

What is the charge ?

The charge is the amount of money that a person is required to pay for a service or product. It is usually a fee that must be paid to access or use a service or product. In the case of a criminal charge, it is the amount of money that a person is required to pay in order to be released from jail or prison after being charged with a crime. Charges can also be fees charged by a business or organization for a service or product, such as a membership fee.

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Answer:

D(displacement) = 3 km E + 1 km W + 2 km W = 0

Total displacement (vector) = 0

Total displacement (scalar) = 6 km

magnitude implies a total displacement of 6 km

The work done by friction is μNd.

what is wotk done?

Work done is the amount of energy transferred by a force to an object when it moves through a distance.

It is calculated by multiplying the force applied to the object by the distance it moves.

Work done is measured in joules (J) and is represented by the equation W = F x d.

Work done by friction = Force x Distance

                                    = Friction coefficient (μ) x Normal Force (N) x Distance (d)

                                    = μNd

Therefore, The work done by friction is μNd.

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It takes 1.28s for the light to travel from the moon to earth.

What is light Year?

In a vacuum, light moves at a speed of 186,000 miles or 300,000 kilometres per second. Light can circle the Earth seven times in a single second to give you a quick idea of how fast this is! The speed of light is used by astronomers to calculate how far away in space an object is. Light-years are units used to describe the distance that light can cover in a year (ly).

A light-year is a measurement of length.

It is the distance that a light photon covers in a single Julian year in the vacuum.

by the letter ly

One light year has a fixed value.

The speed of light (c) is constant everywhere, it is

299,792,458m/s=299,792.458km/s

Therefore, it takes 1.28s for the light to travel from the moon to earth.

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The statement "The excitation of the mercury vapor glows the phosphorus coating inside the lamp of a fluorescent lighting." is true.

In a fluorescent lamp, the electric current excites the mercury inside the lamp which is in vapor form. This process generates the ultraviolet light wave of very short wavelength, which causes the glow of phosphorus coating inside the lamp. Thus a fluorescent lamp converts the very little electrical energy into useful and sufficient light energy.

--The given question is incomplete, the complete question is "Which of the following statement is true about fluorescent lighting? a) Phosphorus coating inside the lamp of a fluorescent lighting glows by the excitation of the mercury vapor. b) The efficiency of fluorescent lighting is much low."

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The equation B=μ0I/2R, where R is the loop's radius, describes how strong the magnetic field is in the loop's center. The direction of the field with regard to the loop is provided by RHR-2. so, B= [tex]9.65097263\times10^{-6}[/tex]

The magnetic field strength is one of two metrics used to describe a magnetic field's intensity.

Technically, a difference is made between magnetic field strength H, measured in amperes per meter (A/m), and magnetic flux density B, commonly known as teslas, measured in Newton-meters per ampere (Nm/A) (T).

The magnetic field is depicted by magnetic field lines. The field strength and the density of the field lines are correlated.

The total number of magnetic field lines in a particular area is known as the magnetic flux.

B=[tex]=4\Pi \times 10^{-7}\times 4.8 \times 1.6[/tex]

B= [tex]9.65097263\times10^{-6}[/tex]

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The distance travelled by the truck before coming to a stop is 72.9 m.

The acceleration of the truck is calculated by applying Newton's second law of motion as follows.

F = ma

a = F / m

where;

a = ( -300,000 ) / ( 60,000)

a = -5 m/s²

The distance travelled by the truck before coming to a stop is calculated as follows;

v² = u² + 2as

where;

0 = u² + 2as

0 = (27²) + (2)(-5)(s)

= (27²) - 10s

10s = 27²

s = ( 27² ) / 10

s = 72.9 m

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The motion map could represent a situation in which a car is accelerating to the right, then slowing down, and then speeding up again.

What is the motion ?

Motion is the action or process of moving or being moved from one place to another. It is a fundamental concept in physics that describes a change in position over time. Motion can be explained with the use of Newton's laws of motion and can be mathematically described by equations of motion. Motion can be observed in everyday life, such as the motion of a car, a ball falling to the ground, and the motion of a pendulum. Motion is an integral part of many scientific fields, including physics, chemistry, astronomy, and mathematics. Motion can also be studied in art, literature, and music.

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It will take 8 m/s to travel the distance.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction).  

The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law the amount of an object's acceleration is the combined result of two causes:

According to the materials used to make the object, the magnitude of the net balance of all external forces acting on it is inversely proportional to its mass, but the magnitude of the net resulting force is directly proportional to the net force.

Therefore, It will take 8 m/s to travel the distance.

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Without more information on the specific arrangement of electrons and protons, it is not possible to determine the magnitude and direction of the net electric field produced at the center of the axis. The electric field is determined by the distribution of charges and their relative positions.

What is an electric field?

An electric field is a force field that surrounds an electric charge, which exerts a force on other charges within the field. The strength of the electric field is represented by the electric field strength (E) and is measured in units of newtons per coulomb (N/C). The direction of the electric field is defined as the direction that a positive test charge would be pushed or pulled if placed in the field. The magnitude of the electric field at any point in space is defined as the force experienced per unit charge, at that point. Electric fields can be created by a variety of sources, including stationary charges, moving charges, and changing magnetic fields.

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Concept: If the (frictional) force and the displacement are the same, then the work will be positive and (a) and (b) have negative values. (c)has positive (d) has zero.

An object's directional movement if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a lecturer moves to the right in relation to a whiteboard. Displacement describes this shift in location.

A body that goes a distance and then returns to its initial location has the same starting and ending points. In this case, the displacement is 0 but the distance covered is not. It is possible to have positive, negative, or even zero displacements.

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An anti-tank cannon is situated 60 meters above the surrounding plain, on the edge of a plateau. An adversary tank was positioned at 89.44° during a practice exercise.

The focus of attention is on the individual who is surrounded: "The audience gathered around the magician as he worked his magic." To be around something is to be close to it.

Calculation

In situations like this air resistance are usually been neglected thereby

making g= 9.81 m/

Bring out the given parameters from the question:

Initial Velocity () = 1000 m/s

Target distance (d) = 2000 m

Target height (h) =  800 m

Projection angle ∅ = ?

Horizontal distance = tcos ∅     .......................... Equation 1

where  = velocity in the X - direction

          t = Time taken

Vertical Distance = y =  t - g        ................... Equation 2

Where    = Velocity in the Y- direction

             t  = Time taken

= sin∅

Making time (t) subject of the formula in Equation 1

                   t = d/(cos ∅)

                     t =  =   =                 ...................Equation 3

substituting equation 3 into equation 2

Vertical Distance = d =   - g

                                 Vertical Distance = h = sin∅  - g

 Vertical Distance = h = dtan∅  

- g  Applying geometry

                              =  + 1

 Vertical Distance = h = d tan∅   - 2 g ( + 1)

              substituting the given parameters

              800 = 2000 tan ∅ - 2 (9.81)(  + 1)

             800 = 2000 tan ∅ - 19.6(  + 1)  Equation 4

Replacing tan ∅ = Q     .....................Equation 5

In order to get a quadratic equation that can be easily solve.

           800 = 2000 Q - 19.6 + 19.6

Rearranging 19.6 - 2000 Q + 780.4 = 0

                    = 101.6291

                      = 0.411

   Inserting the value of Q Into Equation 5

                tan ∅ = 101.63    or tan ∅ = 0.4114

Taking the Tan inverse of each value of Q

∅ = 89.44°     ∅ = 22.37°

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The block is stopped by an opposing stopping force of roughly 50 N over a horizontal surface, and it comes to rest.

The concept of "force" has a specific definition in science. This kind of force may be represented as both a push and a pull. It cannot hold an item or a force, nor can it hold a force.

These sorts of forces are there whenever two things interact and work together. Contact forces can include, but are not limited to, tension, normal, air resistance, applied, and spring forces.

v² - u² = 2as

(0)² - (10)² = 2 × a × 10

-100 = 20a

a = -100/20

a = -5 m/s²

Acceleration (a) = -5m/s²

Now,

Force (F) = Mass(m) × Acceleration (a)

F = m × a

F = 10 × -5

F = -50 N

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The baseball moved at an average speed of 25.7 m/s from the moment it left the pitcher's hand until it was 7.2 meters away. As a result, choice (A) is the right response.

The object's average speed is the total distance it travels in a predetermined amount of time. It has a scalar value. It is characterised by the magnitude and lacks direction. You can calculate it by dividing the total distance travelled by the total amount of time needed to travel that distance.

Following are the calculations for baseball's typical speed:

the distance the ball travelled is  7.2 metres

the time taken is 0.28 seconds

Speed = Distance/Time.

Speed =7.2/0.28

=> 25.7 m/s.

Consequently, the baseball's average speed from the moment it left until it arrived was 25.7 m/s.

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In the above case, It is not possible for it to rain cats and dogs as it is a figure of speech and not a literal occurrence. Similarly, humans cannot turn into a different species as it goes against the laws of science .

What is the species about?

The statement above is not entirely accurate. Raining cats and dogs is a phrase used to describe heavy rain, it is not a real phenomenon. And humans cannot turn into a different species, it is a biological impossibility.

What does it imply when it says it's raining cats and dogs?

Consequently, a storm with strong winds (cats) and heavy rain may be described as "raining cats and dogs" (cats). Greek word cata doxa, which means "contrary to experience or conviction," may have been the source of the phrase "cats and dogs." It is raining exceptionally or ridiculously hard if it is raining cats and dogs.

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The solid sphere will reach the bottom of the inclined plane first. The reason for this is that the sphere has the smallest surface area to volume ratio which means that there is less friction acting on it as it rolls down the incline.

Solid sphere moves more quickly than solid cylinder because it has a lower moment of inertia and more kinetic energy during translation. Comparable solid objects move more slowly than hollow ones.

If a cylinder and a sphere have the same mass and radius, the cylinder will have a greater moment of inertia due to its greater mass at its edges. Because the sphere's moment of inertia is smaller, it will move faster and arrive at the bottom first.

The process by which potential energy (PE) is transformed into kinetic energy is the cause of the solid cylinder's faster descent than the hollow cylinder. Some of the PE is transformed to rotating kinetic energy (RKE), not simply linear kinetic energy, because the cylinder is rolling (LKE).

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To attain the ld50, the individual would need to consume 30 grams of cuprous sulfate, according to the query.

The International Units System (SI) uses the kilogram (sometimes known as the kilogramme) as the mass measurement unit. It is a measuring unit that is widely used in research, engineering, and trade from around globe. Its meaning is "1,000 grams."

Since the metric (SI) system employs numbers rather than words, the sign for kilograms (kg) does not require a s when used in the plural. Cement weighs 25 kilograms each bag (not 25 kgs).

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the spring constant of the spring is k. the spring is initially compressed a distance x0. the block is released from rest.

Velocity is the measure of the amount of distance an object covers in a given amount of time. Here's a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get there.

Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

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A is the correct answer. The arrow pointing up in A represents the force of gravity (mg).

Force is an external influence that can change the motion, direction, shape, and/or energy of a physical object. It can be a push, a pull, or a twist, and it can act on an object at a distance. Force is a vector quantity, meaning that it has both magnitude and direction.

The arrow pointing to the right represents the normal force (N), which is the force that the surface exerts on the block in order to keep it from sinking into the surface due to gravity. The arrow pointing down in A represents the frictional force (f), which is the force that the surface exerts on the block in order to prevent it from sliding along the surface.

1)

T > mg

The force due to tension acts upwards on the box and the force due to gravity acts downwards on the box. As the box is accelerated upwards then the T should be greater than the weight of the box.

ma = T - mg

mg = T- ma

Therefore, T> mg

2)

The option A, best describes the free body diagram.

3) In option A, the normal force is equal to the weight of the block which is kept at rest. N = mg

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The graph leads us to conclude that the horizontal velocity of momentum is 4.0 kg/m/s. Additionally, the momentum's initial magnitude, p0, is 6.0 kg/m/s.

In physics, what is a momentum?

Momentum is characterised as the intensity of a body's motion.As momentum depends on both velocity and the orientation of the body's motion, it is quantified by "mass velocity". Since motion is a vector and mass is a scalar, momentum is a vector. Mass times speed equals momentum.

What does the word "momentum" mean?

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a fastball (small mass) thrown quickly has the same inertia as a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).

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