A roller coaster car travels along the track as shown in the image. At which two points does the car have the least amount of potential energy?


Points 1 and 5.


Points 1 and 4.


Points 2 and 4.


Points 2 and 5.

The work done on the object = 25 J

The angle between the force nd the displacement is 0° since the applied force is in positive x-direction.

Work, in physics, a measure of the transfer of energy that occurs when an object is moved a distance by an external force acting at least partially in the direction of displacement. For a constant force, work can be calculated by multiplying the length of the path by the component of the force acting along the path. Expressing this concept mathematically, the work W is equal to the force f multiplied by the distance d, or W = fd. If the force is applied at an angle θ to the displacement, the work done is W = fd cos θ. Working on an object involves not only moving the entire object from one place to another, but also, for example, compressing a gas, rotating a shaft, or causing invisible motion to particles within the object. is also done by External magnetic force on the body.

Force in x-direction = 4i

Force in y-direction = 3j

For resultant force (Fₙ):

Fₙ² = 4² + 3²

Fₙ² = 16 + 9

Fₙ² = 25

Fₙ = 5 N

Since, W = F × d × cosθ

Where, W = work done

F = Applied force (5 N)

d = Distance covered (5 m)

θ = Angle between force and displacement (0°)

W = 5 × 5 × 1

W = 25 J

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Answer:

Explanation:

To solve this problem, we can use the following equations:

Linear momentum: p = mv

Angular momentum: L = r x p

Total angular momentum: Ltotal = L1 + L2 + ... + Ln

Moment of inertia: I = mr^2

Angular velocity: w = L/I

Linear velocity: v = w x r

a) To find the mass of the cube sitting 0.5 m from the right end, we can use the equation p = mv. We know that p is the linear momentum of the cylinder just before hitting the board (which is equal to the mass of the cylinder times its velocity). We also know that the mass of the cylinder is 3.5 kg and its velocity is 6.26 m/s. Plugging these values into the equation gives us:

p = (3.5 kg)(6.26 m/s) = 22.01 kg m/s

We can use this value for the linear momentum of the cylinder to find the mass of the cube. Since the board is balanced about a point 2.0 m from the right end, the cube is 0.5 m from the pivot point and the cylinder is 2.5 m from the pivot point. This means that the cube and the cylinder have equal and opposite linear momentum about the pivot point. Therefore, the mass of the cube is equal to the mass of the cylinder, which is 3.5 kg.

b) To find the angular momentum of the cylinder just before hitting the board, we can use the equation L = r x p. We know that r is the distance from the pivot point to the center of mass of the cylinder (which is 2.5 m) and p is the linear momentum of the cylinder (which we just found to be 22.01 kg m/s). Plugging these values into the equation gives us:

L = (2.5 m) x (22.01 kg m/s) = 55.03 kg m^2/s

This is the angular momentum of the cylinder just before hitting the board.

c) To find the total angular momentum just after the collision, we need to find the angular momentum of the board and add it to the angular momentum of the cylinder. We can use the equation Ltotal = L1 + L2 + ... + Ln to do this. Since the board is balanced about a point 2.0 m from the right end, its angular momentum is equal to the mass of the board times the distance from the pivot point to the center of mass of the board times the velocity of the board. We know that the mass of the board is 7.1 kg, the distance from the pivot point to the center of mass of the board is 2.5 m, and the velocity of the board is 6.26 m/s (which is the same as the velocity of the cylinder just before hitting the board). Plugging these values into the equation gives us:

Ltotal = (7.1 kg)(2.5 m)(6.26 m/s) + 55.03 kg m^2/s = 122.64 kg m^2/s

This is the total angular momentum just after the collision.

d) To find the total moment of inertia just after the collision, we need to find the moment of inertia of the board and add it to the moment of inertia of the cylinder. We can use the equation I = mr^2 to find the moment of inertia of each object. For the board, we know that m is the mass of the board (which is 7.1

(a) The initial velocity in component vector form is (14.38 i + 10.83 j), m/s.

(b) The velocity of the ball as it lands in component vector form is (14.38 i + 10.88 j), m/s.

(c) The range of the ball is 31.78 m.

(d)  The assumption made is that the frame of reference is at ground level.

Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

The component form for the velocity are:

Vx = V cosθ

Vy = V sinθ

We then have Vx = 18 m/s  x  cos(37) = 14.38 i, m/s

Vy = 18 m/s x sin(37) = 10.83 j, m/s

Vi= (14.38 i + 10.83 j), m/s

Using projectiles, we can get the other values

t = (Vsinθ)/g

working out t = 1.11 secs

The final vertical velocity of the ball is given as:

Vf = Vh + gt

where;

Vf is the final vertical velocity

Vh is the velocity of the ball at maximum height = 0

t is time to reach maximum height

Vf = 0 + 1.11 x 9.8

Vf = 10.88 m/s

The velocity of the ball in component vector form is written as:

Vf = (Vxf + Vyf), m/s

Vf = (14.38 i   +   10.88 j), m/s

The range of the ball is calculated as;

Range = (V²sin2θ)/g

Range = 31.78 m

Therefore the assumption that have been made about the frame of reference is that it was projected from a ground level and returned to the same ground level.

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Answer:

Below

Explanation:

Find acceleration of sled

F = ma

20 = 15 a     shows a = 1.33 m/s^2

Find final velocity

v = at = 1.33 (5 ) = 6.666 m/s

change in momentum =   mv2-mv1 = impulse = 15 * 6.666 - 0 = 100 kg m/s

I think it might be easier to just say    F *Δ t  = 20 * 5 = 100  N s = 100 kg m/s

The magnitude of the tension in the string applied by the boy is determined as 11.7 N.

The magnitude of the tension in the string is calculated by applying Newton's second law of motion as follows;

Tension in the wire = centripetal force of the boy

T = Fc

T = ma

T = mv²/r

where;

T = ( 0.5 kg x ( 5.4 m/s )² ) / ( 1.25 )

T = 11.7 N

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Answer:

I think they are dying because of the sudden increase in the zebra population. The type of interaction between the grass and the small animals is called commensalism. The small animals depend on the grass for shelter, and when the zebras eat the grass ~this is called predation~, the small animals no longer have shelter, so they start dying.

Explanation:

velocity defines the route of the movement of the body or the object. pace is generally a scalar quantity. speed is essentially a vector quantity. it's far the rate of change of distance. it's miles the charge of exchange of displacement.

The diameter is the length of the road via the middle that touches factors on the threshold of the circle.

The distance from the centre to any factor at the floor is referred to as the radius. similarly, the gap from one point on the floor of a circle to the other point at the floor of the circle through the centre is called the diameter. In different words, the diameter is double the radius.

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Answer: In a circuit with parallel resistors, the voltage across each resistor is the same, and the total resistance is equal to the reciprocal of the sum of the reciprocals of the individual resistances.

Since the total resistance is 550Ω and there are four resistors of equal value, the value of each resistor is 550Ω / 4 = 137.5Ω.

Since the voltage across each resistor is 12V and there are four resistors, the voltage across each resistor is 12V / 4 = 3V.

The current through each resistor can be found using Ohm's law, which states that the current through a resistor is equal to the voltage across the resistor divided by the resistance.

Thus, the current through each resistor is 3V / 137.5Ω = 0.0218A.

So, the voltage across each resistor is 3V, and the current through each resistor is 0.0218A.

The voltage across and the current through each parallel resistor is respectively 12 V and 0.384 amp.

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

Given that:

the total voltage is 12 V.

the total resistance is 550Ω.

The resistance of every resistor = 500/4 Ω = 125 Ω.

As they are connected in parallel combination, the equivalent resistance of them = 125/4 Ω

=31.25 Ω.  

As they are connected in parallel combination,  the voltage across  each resistor is same and it is 12 Volt.

And the current through each parallel resistor = V/R

= 12/31.25 amp

=0.384 amp.

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Answer:

Let their velocities at the time of entering the field be vp and ve. vp and ve are given perpendicular to electric field E. Let the field be prevailing over distance d in the direction of initial velocity of the beam.

Now, kinetic energy is same for electron and proton. Therefore,

(1/2)mpvp^2=(1/2)meve^2

So. in given distance, deflections for electrons and protons are same. Then, both trajectory will be equally curved.

When a fluid travels through a medium in an ideal situation, its pressure increases even more when the pipe's radius is increased and it is angled upward.

the tension at a point inside a confined fluid, or the parallel force per unit area. An easy illustration of pressure The surface of the fruit won't be cut if you press the smooth part of a knife against it.

The formula for calculating pressure is P = F / A, or force every unit of the surface area. The Si derived unit for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa). One Coulomb per square meter of force exerted perpendicularly on a surface is equal to one pascal.

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The coefficient of static friction is equal to 0.368.

Static Friction can be described as friction that is experienced when an object is placed on a surface. Kinetic friction can be described as friction due to the movement of an object on a surface. The coefficient of static friction is a scalar parameter and is represented as μs.

The coefficient of static friction can be calculated from the following expression as:

[tex]{\displaystyle \mu_s ={\frac{ F}{mg}[/tex]

Given, the force acting on the box = 6.5 N

The mass of the box, m = 1.80 Kg

The gravitational acceleration, g = 9.8m/s²

The coefficient of static fraction = 6.5/(1.80 ×9.8) = 0.368  

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The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

The force communicated through a rope, string, or wire when two opposing forces draw on it is known as tension. The tension force pulls energy equally on the bodies at the ends and is applied along the entire length of the wire.

Therefore, Every physical object in contact with another one applies some force to that object.

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Generally speaking, radio telescopes are much larger than visible-light telescopes.

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light as from night sky. To focus light, the first telescopes used lenses, which are just twisted pieces of clear glass.

The light emitted by distant objects is collected and magnified using telescopes. Observing things with in night sky presents challenges since they are far out and, as a result, appear so dim. We can perceive these things more clearly the more light a telescope can gather.

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The statement that states because the poles of Uranus spend 42 years in darkness, the temperatures between the northern and southern hemispheres of Uranus differ by as much as hundreds of kelvins, depending on where Uranus is in its orbit is false.

Why does Uranus have 42 years of daylight?

Uranus is notable for its massive 98-degree tilt on its axis. It is essentially lying on its side, with the poles receiving direct sunshine. Extreme seasons result, and when the Sun rises at one of the poles, that pole receives direct sunlight for 42 years.

What is the temperature of Uranus?

The temperature of Uranus averages minus 320 degrees Fahrenheit (-195 degrees Celsius), according to NASA. Uranus holds the record for the coldest temperature ever measured in the solar system — minus 371.56 degrees F.

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Cold air typically contains less moisture than warm air, and quick breathing dry air dehydrates the bronchial tubes, causing them to narrow and restrict airflow. The sports and activities are most likely to cause EIB symptoms to require constant movement or are done in cold weather.

Answer: Acceleration is positive when a body speeds up and is negative when the body slows down.

Explanation: please don't hate me this is just my own opinion

Teeth, bones, fur, and exoskeletons are found in an owl pellet.

Owls consume their prey whole or in huge chunks, but they are unable to digest hair, teeth, bones, or feathers. Owls, like other birds, have two stomach chambers. All of the edible elements of an owl's diet are liquefied in the first chamber, the glandular stomach or proventriculus.

Teeth, bones, hair, and exoskeletons of prey cannot be broken down by an owl's digestive system. These prey pieces are compacted into an owl pellet. This substance is regurgitated by the owl so that it can exit the owl's stomach.

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Answer:

Sample response: An owl’s digestive system cannot break down parts of the prey such as teeth, bones, fur, and exoskeletons. These parts of the prey are compressed into an owl pellet. The owl regurgitates this material so that it can leave the owl’s stomach.

Explanation:) have a great day hope this helps

brainliest would be very appreciated

3.82 m/sec²  is its maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass.

The rate during which speed and the direction and velocity change over time is referred to as acceleration. When something accelerates or decelerates, it rushes toward something that is moving straight ahead.

F = m . a ;

(F - Force; m - mass and a - acceleration);

given in the problem; mass (1) - 1300 kg; acceleration (1) - 5 m/sec²

So, on substituting we get,

F = m1a1 = 1300 X 5 = 6500 N;

we get

F = 6500 N

Now that mass 400 kg has been added, mass (2) equals 6500 kg, and acceleration must be determined;

Since the force is constant in this case, it can be compared;

m[tex]_1[/tex]a[tex]_1[/tex] = m[tex]_2[/tex]a[tex]_2[/tex] ;

So, 1300 X 5 = (1300 + 400) x a[tex]_2[/tex]

Therefore, the answer will be a[tex]_2[/tex]= 3.82 m/sec²

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The light can travel in three ways and these are: (1) after being reflected from a mirror, (2) through various media, and (3) directly from the source through empty space.

A mirror is a device that has a reflective surface for light. Since mirrors often reflect light rather than absorb it, the majority of the light is redirected upon contact with the mirror, and the overall quality of the item is typically kept in the new image. Mirrors exist in a variety of forms and are employed in a variety of applications.

It is known as light reflection when a light ray strikes a perfectly smooth, polished surface and reflects back. The surface reflects the incident light rays that come in contact with it. Reflected ray refers to the ray that returns. A perpendicular would be referred to as normal if it were drawn on a reflective surface.

Hence, light can travel in three ways and these are: (1) after being reflected from a mirror, (2) through various media, and (3) directly from the source through empty space.

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Answer:time in seconds spent for traveling=3×30×24×60×60

. = 7776000 seconds

distance= velocity× time.

. =15×7776000

. =116640000

. =116640km

Explanation:

The change in length of the purple spring be 6.77 cm.

The spring stiffness is how we define the term "spring constant." In other words, we can define the spring constant as the force that was used to cause the spring's displacement to be one unit. It follows that a spring's spring constant would increase as it becomes more rigid.

Given parameters:

Spring constant: k = 45 N/m.

Mass of the load: m = 311 g = 0.311 kg.

So, weight of the load: w = mg = 0.311 × 9.8 N = 3.0478 N.

Hence,  the purple spring's change in length be = w/k = 3.03478/45 m = 0.0677 m = 6.77 cm.

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Answer:the capacitance in farads, is the charge stored on the plates in coulombs, and is the potential difference (or voltage) between the plates.

Explanation:your welcome

The angular acceleration as the blades slow down is 194.44 ras/s².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

The speed of the moving plate is 6500 rpm.

f = 6500 rpm = 6500/60

                      = 108.33 rev/s

The angular speed is

ω = 2πf

ω = 2π × 108.33

   = 680.53 rad/s

time = 3.5 sec

angular acceleration

a = ω final - ω initial /Δt

  = 0 - 680.53 / 3.5

  = 194.44 ras/s²

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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In this circuit, the current (in Amperes) flowing through the resistor 4 , that is, R4 is 10 Ampere.

Explain what is ampere.

An ampere is an electrical current that is equal to 1019 elementary charges moving every 1.602176634 seconds or 6.2415090741018 elementary charges moving in a second, as of the 2019 redefinition of the SI base units. This definition was achieved by fixing the elementary charge e to be exactly 1.6021766341019 C (coulomb), which means an ampere is an electrical current.

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Answer:

Deforestation

Construction and recreational activities

The answer is B i.e., exactly equal to the critical density.

What is critical density?

"Critical density" is the average density of matter required for the universe to stop expanding after an infinite amount of time. The critical density universe is said to be flat.

In General Relativity, Einstein showed that the gravitational effects of matter should bend the space around it. In a matter-filled universe, both its overall shape and fate are determined by the density of matter contained.

If the universe has a high matter density (a closed universe), self-gravity will stop the expansion and slow it down until it eventually collapses again. In a closed universe, locally parallel rays converge to a very distant point. This is called spherical geometry.

If the universe has a low matter density (an open universe), there is not enough self-gravity to stop the expansion, and the universe will continue to expand forever (albeit at a slower and slower rate). Finally, in an open universe, locally parallel rays diverge. This is called hyperbolic geometry.

There is a universe where parallel rays remain parallel, balanced by a knife blade between a high matter density universe and a low matter density universe. This is called flat geometry and its density is called "critical density". In a critical density universe, it takes an infinite amount of time to stop expanding.

Therefore, The answer is B i.e., exactly equal to the critical density.

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The relative error made by David to the nearest thousandth is 23.

First,

Find the Absolute Error as follows:

= Measure found by David - Actual measure

= 1.54 - 2

= - 0.46

The minus sign here indicates that the measure found by David is lesser than the actual measure of the line.

To find the Relative Error as follows:

= [ ( Absolute Error ) / ( True Value) ] X 100

= [ 0.46 / 2 ] X 100

= 0.23 X 100

= 23

The relative error is defined as the ratio of the absolute error of the measurement to the actual measurement. Using this method we can determine the magnitude of the absolute error in terms of the actual size of the measurement.

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The atmosphere directly facing to the Sun is about 1,360 watts per squares meter.

Distance is the total movement of an object without any regard to ratio.

We can defined distance as  to be the magnitude or size  of the  displacemnt between two positions. Note that there are distance between the  two positions is not the same as the distance of the traveled between them. Distance traveled is the total of the  length of the path traveled between two are  positions. Distanced traveled is not a vector.

At Earth's average distances from the Sun (about 150 million kilometers), the

average intensity of solar by  its  energy reaching the top of the atmosphere directly to the  facing the Sun is about 1,360 watts per square square meter, according to measurements of the made by the most of the  recent NASA satellites missions.

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The magnitude of the entropy change will be greater when [tex]I_2[/tex] (s) sublimates because [tex]I_{2[/tex] (g) has the highest entropy.

Entropy is a measure of the disorder of a system. So, if the system has higher entropy, the system is more disordered.

For a given substance gaseous phase has the highest entropy, and solid phase has the lowest entropy.

ΔS = [tex]S^{0[/tex]( product) - [tex]S^{0[/tex] (reactant)

Both sublimation and melting of [tex]I_{2[/tex](s) are spontaneous processes because solid [tex]I_{2[/tex] is the most ordered and has the lowest entropy. So, ΔS is positive for these processes. However, the magnitude of the entropy change will be greater when [tex]I_{2[/tex](s) sublimates because [tex]I_{2[/tex](g) has the highest entropy.

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The average Ф was found to be 80.8 and the coefficient of static friction=0.40

define static friction ?

A force that holds an item at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

1.average Ф=21+17+21+18+19/5

=96/5

=80.8

2. The book is 31 N in mass. His hands and the book have a static friction coefficient of 0.40.

3. f=μxn

=1.3x0.4

=0.52

You can regard them as a single item when they are about to move together. Don't let the information you've been provided get mixed up; instead, utilise the static friction coefficient between box 1 and the floor

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