In the coordinate plane, line p has slope 1 3 and y-intercept (0, 2). Line r is the result of dilating line p by a factor of 3 centered at the origin. What are the slope and y-intercept of line r?.

Therefore, in the equation above, the mass of the object mo must be multiplied by the composite constant (Gme/r2e), which has a value of 9.7196 m/s2.

In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the force applied. The change caused by an applied force is smaller the more mass a body has.

For this particular issue, the solution were as follows:

(G Me Mo) / Re2 = F

(G Me) / Re2 = F / Mo

G is equal to 6.67384 * 10-11 m3 kg-1 s-2, or gravitational constant.

Me = 5.972 * 10^24 kg

Re^2 ≈ (6.38 * 10^6)^2 m^2 ≈ 40.7044 * 10^12 architects = 4.07044 * 10^fourteen m^2

G Me/Re2 = (6.67384*10-11*5.972*1024)/(4.0704*1013) = 9.7196 m/s2.

Gravitational acceleration is 9.7196 m/s2.

To know  more about mass visit:

https://brainly.com/question/19694949

#SPJ4

The smallest radius of an unbanked track around which a bicyclist can travel with a speed of 29km/h is 20.66m.

The maximum velocity with which we can travel on a unbanked road is given by,

V = √(urg)

Where you is the coefficient of friction,

R is the radius of the track,

g is the acceleration  due to gravity.

Here it is given that the bicyclist  travel with the speed of 29km/h and the coefficient of friction between the tyre and the track is 0.32.

Speed = 29km/h = 8.05 m/s.

So, putting the values, we get,

(8.05)² = r(9.8)(0.32)

r = 20.66m.

So, the smallest radius of an unbaked tract is 20.66 m.

To know more about speed at unbanked road, visit,

https://brainly.com/question/13102465

#SPJ4

Answer:

below

Explanation:

130 x   < =  25500 - 12100

130 x <= 13400

x <= 103    

An atom has eleven protons, 10 electrons, and thirteen neutrons. that is an anion.

Every atom includes a nucleus and one or greater electrons positive to the nucleus. The nucleus is manufactured from one or extra protons and some of neutrons. most effective the maximum not unusual form of hydrogen has no neutrons. each strong, liquid, gas, and plasma consists of neutral or ionized atoms. An atom is any particle of matter at its maximum simple degree which incorporates as a minimum one proton. proper here are some examples of the atoms: hydrogen (H) and neon (Ne).

An atom is the smallest unit of detail. In an atom, subatomic debris like protons and neutrons are in the extranuclear aspect. Atoms be part of together to form molecules. A water molecule has 3 atoms: hydrogens (H) atoms and one oxygen (O) atom. it actually is why water is on occasion known as H2O. A single drop of water includes billions of water molecules.

Learn more about Atom  here:

https://brainly.com/question/17545314

#SPJ4

when glasses (or contact lenses) are used to correct farsightedness the lens should form the image at the near point.

With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.

Your capacity to focus is influenced by how farsighted you are. Others with severe farsightedness might only be able to see objects that are far away clearly, but people with mild farsightedness might be able to see objects that are nearby clearly.

The tendency to be farsighted is typically present at birth and runs in families. Glasses or contact lenses make it simple to treat this disease. Surgery is yet another remedy.

To know more about farsightedness, visit:

https://brainly.com/question/12733257

#SPJ4

A conservative force negatively affects an object if it pushes the object in the opposite direction of the force. This pulls the body away from the power center.

A force is said to be conservative if the work done by it does not depend on the distance traveled, but only on the starting and ending positions. If the y-component derivative of the force with respect to x is equal to the x-component derivative of the force with respect to y, then the force is a conservative force, the path always taken in the computation of potential energy or work. I get the same result.

Learn more about force here-

https://brainly.com/question/13191643

#SPJ4

(a) The vertical height the sled reached above its starting point is 0.91 m.

(b) The sled's speed when it slides back down to its starting point is 18.43 m/s.

The maximum height reached by the sled is calculated by applying the following kinematic equation as follows;

H = u²sin²θ/2g

where;

H = (10² x (sin 25)²) / (2 x 9.8)

H = 0.91 m

The sled's speed when it slides back down to its starting point can be calculated by applying the following equation;

The time of flight of the sled is calculated as;

t = 2u sinθ / g

t = (2 x 10 x sin25) / 9.8

t = 0.86 s

The final velocity of the sled is calculated as;

v = u + gt

v = 10 + 9.8(0.86)

v = 18.43 m/s

Learn more about maximum height here: https://brainly.com/question/12446886

#SPJ1

Answer:

Explanation:

Given:

H = 75 m

Δt = 0.091 s

g =9.81 m/s²

_________

V₀ - ?

Assume that the stool fell freely, then the time of its fall:

H = g·t²/2

t = √ (2·H / g) = √ (2*75 / 9.81) ≈ 3.910 s

The refrigerator was thrown down with initial speed and fell:

t₁ = t - Δt = 3.910 - 0.091 ≈ 3.82 s

Find the initial chip of the refrigerator:

H = V₀·t₁ + g·t₁²/2

V₀·t₁ = H - g·t₁²/2

V₀ =H / t₁ - g·t₁ / 2

V₀ = 75 / 3.82 - 9.81·3.82 / 2 ≈ 0.90 m/s

So, at first, the stool is simply released from the hands, and the refrigerator is thrown down with the initial speed 0.90 m/s

When there is acceleration along the inclined plane then accelerations increase as incline angles increase.

angle of inclination :

The force component parallel to the incline rises as the angle increases, while the force component perpendicular to the incline falls. The acceleration is brought on by the parallel portion of the weight vector.

Therefore, accelerations increase as incline angles increase.

When there is acceleration along the inclined plane then accelerations increase as incline angles increase.

To know more about acceleration

https://brainly.com/question/2303856

#SPJ4

Bar x = frac M y M = 4 gives the xx-coordinate of the center of mass as x = MY/M y = 4.

The quantity of substance present in any item or body serves as the best definition of mass. We see mass in everything around us. For instance, objects like a table, chair, bed, football, glass, or even air have mass. All items have mass, which determines whether they are light or heavy.

Force is equal to mass multiplied by acceleration for a fixed mass. F = ma is how this is expressed mathematically. m stands for mass, F for force, and a for acceleration. This involves some straightforward math. If the force is doubled, the acceleration is also doubled; however, if the mass is doubled, the acceleration is cut in half.

To know more about mass visit:

https://brainly.com/question/15959704

#SPJ4

The displacement of a plane that is uniformly accelerated from 66 m/s to 88 m/s in 12 s is 131.76 m.

There are three equations that correlate displacement to two of the other three parameters we use to describe motion: time, velocity, and acceleration when acceleration is constant.

Firstly, the distance for uniformly accelerating motion can be found by multiplying the average velocity by the time.

d=[tex]\frac{1}{2}[/tex][tex](v_{f} + v_{i} )[/tex][tex](t)[/tex]

The second equation that relates displacement, time, initial velocity, and final velocity is generated by substituting this equation into equation 1.

[tex]v_{i} t+\frac{1}{2} at^{2}[/tex]

The third equation is formed by combining 1 and 2.  If we solve the first equation for t and then substitute it into the second equation, we get

[tex]v_{f} ^{2} =v^{2} _{i} + 2ad[/tex]

which gives us when simplified:

[tex]d=\frac{1}{2} at^{2}[/tex]

So from the question,

[tex]v_{f} =v_{i} +at\\88=66+12a\\12a=88-66\\12a=22\\a=\frac{22}{12} \\a=1.83 m/s^{2} \\[/tex]

Then we substitute the value of a into the final equation,

[tex]d=\frac{1}{2}at^{2}\\ d= \frac{1}{2}1.83*12^{2} \\d= \frac{263.52}{2} \\d=131.76 m[/tex]

Therefore the displacement is 131.76m.

To know more about velocity visit :

https://brainly.com/question/28738284

#SPJ4

The magnitude of the image of the convex mirror is 4.98m.

Convex mirror:

Convex Mirror is a curved mirror where the reflective surface bulges out toward the light source. This bulging-out surface reflects light outwards and is not used to focus light.

Here the focal length is 0.375m and object place is 0.431m.

We have to find the magnitude of the image.

We have the formula for mirror:

1/v + 1/u = 1/f

u = - 0.431

f = 0.375

So 1/v = 1/f - 1/u

          = 1/ 0.375 - 1/(- 0.431)

          = 1/0.375 + 1/0.431

          = 0.806/ 0.1616

          = 4.98m

Therefore we get the magnitude of image as 4.98m.

To know more about the convex mirror refer to the link given below:

https://brainly.com/question/7512320

#SPJ4

The relationship of potential energy is that when mass of the object increases or height of the object increases, potential energy will increase also.

The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.

Take two pencils for the most typical illustration to help you grasp the idea of gravitational potential energy. Both are held above the table, with one at the table. We may now assert that the pencil that is higher than the table will have more gravitational potential energy.

Hence; potential energy of an object on earth's surface  can be increased by increasing mass of the object and by increasing height of the object.

Learn more about gravitational potential energy here:

https://brainly.com/question/19768887

#SPJ1

Answer:

Net force is the sum of all the forces.

Explanation:

Force is the push or pull that causes acceleration.

Net force is the sum of all the forces acting on an object

The outcome is a force when an external force pushes or pulls on one thing as it interacts with another object. On the other hand, there won't be any evidence of force if both objects are imprisoned in one location and there isn't any outside pressure.

For example,

When Mathew pushes an automobile, they provide force to the vehicle while dissipating energy; this is shown by the fact that Mathew pushes the car with an 8 Newton (8 N) force.

The amount of force acting on an item from both sides is known as a net force whenever several forces are present, regardless of the direction they are acting from.

The resultant force is another term for this force.

For example,

James pulls a rope from one side, while Thomas pulls a rope from the other, such that a force is exerted on the rope from both sides. This pulling force from both sides is referred to as Net force.

Know more about Force and Net force at,

https://brainly.com/question/12792102

13954 Newtons of the saltwater will be displaced by the boat if it float on the saltwater.

The boat floating in the fresh water displaces 16000N.

We know, the weight of the liquid displaced by the boat is equal to the buoyancy of the boat.

So,

B = 16000N.

When the boat is put into the saltwater, its buoyancy will be,

B = Vpg

Where,

V is the volume of the saltwater displaced,

p is the density of the saltwater,

g is the acceleration due to gravity.

Putting values,

16000 = V(1.17)(9.8)

V = 1395.4 m³.

The weight of the saltwater will be,

Weight = 1395.4 x 10

Weight of the water displaced 13954 Newtons.

To know more about Buoyancy, visit,

https://brainly.com/question/12788506

#SPJ4

The correct answer is The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.

The formula for Gravitational potential energy is= mgh where

m=mass

g= 9.8

h=height.

On the other hand the formula for Elastic potential energy is (1/2)KX^2

where K is the spring constant and x is the displacement of the string. By changing the values of H and X, we will see elastic potential energy will remain more.

To learn more about potential energy, refer: https://brainly.com/question/24284560

#SPJ4

The answer is C. The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.

The displacement of the hamster is -5 feet.

In this case, we know that the hamster in the ball starts moving 5 feet to the left of the refrigerator walks 20 feet to the right of the refrigerator, and ends just in front of the refrigerator.

In fact, all quantities in physics can be divided into vector quantities and scalar quantities. A vector quantity has both magnitude and direction, while a scalar quantity has only magnitude and no direction. Vectors are indicated using directional designations in bold and arrows written above the vectors as is known. Note that displacement is related to the distance moved in a particular direction.

Learn more about The displacement here:- https://brainly.com/question/321442

#SPJ4

Star B is closer than star A, because 1/ 0.58 = 1.72 pc, while 1/.73 = 1.36 pc.

To calculate the distances to nearby stars, astronomers employ a phenomenon known as parallax. The apparent displacement of an object due to a change in the viewer's point of view is known as parallax. The distances between close stars can be calculated using this phenomenon. A nearer star will seem to move against the farther-off background stars as the Earth revolves around the Sun. By measuring a star's position once, then again six months later, astronomers can establish the apparent shift in location of that star. The apparent motion of the star is referred to as stellar parallax.

A straightforward correlation exists between the distance of a star and parallax angle:

[tex]d=\frac{1}{p}[/tex]

The distance d and parallax angle p are both measured in parsecs and arcseconds, respectively.

Stellar parallax of star A= 0.58 arcseconds

Stellar parallax of star B= 0.73 arcseconds

So, on applying the formula,

The distance of the star A= 1.72pc

And the distance of the star B= 1.36pc

Therefore, star B is closer than star A.

To know more about stellar parallax, visit:

https://brainly.com/question/29352944

#SPJ4

The energy is only potential energy at the top of the ramp., which is U=1.14J.

Potential energy is the energy stored in the body due to its position or configuration.

We know that potential energy U =mgh

where,

m is mass

g is gravity

h is height

also,

h =lsin15

l = 1m

so the energy is

U=mgh

U= 0.450 * 9.8 * 0.2588

U = 1.14J

Since there is no friction, hence all the total energy at the top, which is purely potential, gets converted to fully kinetic energy at the bottom.

Hence, at the bottom the total energy is

U = 1.14J

This is because of the principle of energy conservation, when there are no resistive forces, the energy remains conserved.

Thus, the total energy at the top is U=1.14J

With no friction, the total energy at the bottom is U = 1.14J.

Learn more about total energy here:

https://brainly.com/question/3551742

#SPJ4

The Heart applies a force of 6.7 Newton over an effective area of 16.5cm² to achieve a pressure of 123mm of Hg.

The pressure that heart creates is 123mm Hg.

We know, 760 mm Hg = 10⁵ Pascals.

1 mm Hg = 10⁵/760 Pascals.

So,  123 mm Hg will be 123 x 10⁵/760 Pascals.

The effective area of the blood is 16.5 cm².

So, area = 16.5 x 10⁻⁴ m².

Force applied by the heart = Pressure x area

Force =  123 x 10⁵/760 x 16.5 x 10⁻⁴

Force = 26.7 N.

The force applied by the heart is 26.7 N.

To know more about pressure, visit,

https://brainly.com/question/28012687

#SPJ4

The time it takes to reduce the speed of the aircraft from 170 m/s to 50 m/s is  800 seconds

time is the measured or measurable period during which an action, process, or condition exists or continues.

To calculate the time it takes the jet to decelerete, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the time it takes to reduce the speed is 800 seconds.

Learn more about time here: https://brainly.com/question/10428039

#SPJ1

The height of the building is equal to 188.36 m.

The equations of motion are used to describe the relationship between the velocity, acceleration (a), time (t), and displacement of a moving object.

The mathematical expressions of the equations of motions can be written as:

[tex]v= u + at\\S = ut + (1/2) at^2\\v^2-u^2 = 2aS[/tex]

Given, the time taken by the ball to reach the ground, t = 6.2 sec

Consider that H is the height of the building.

From the 2nd equation of motion, calculate how tall is the building.

H = ut + (1/2)gt²

H = 0 + (1/2)× 9.8× (6.2)²

H = 188.36 m

Therefore, the height of the building is equal to 188.36m.

Learn more about the equation of motion, here:

brainly.com/question/16982759

#SPJ1

The moment of inertia is I = 0.126*R^2*M

Then We can calculate the moment of inertia of an object that starts from rest and also has a final velocity using the energy conservation equation.

Then Ek1 + Ep1 is = Ek2 + Ep2, where

After that Ek1 is = the kinetic energy of the object before rolling down

Now Ep1 is = potential energy of the object

Then Ek2 is = kinetic energy when the object comes down

After that Ep2 is = the potential energy of the object at the bottom.

Now We have the following:-

Then Ek1 = 0

Ep1 = M*g*h

After that Ek2 = ((I*w)/2) + ((M*v^2)/2)

Then Ep2 = 0

Now we Replacing values is:

That is 0 + M*g*h = ((I*w)/2) + ((M*v^2)/2) + 0

where:

M is = mass of the object

g is = gravitational acceleration

I is = moment of the inertia

w is = angular velocity = v/R

h is = height

M*g*h is = ((1/2) * I * (v^2/R^2)) + ((M*v^2)/2)

M*9.8*2 is = (I*(5.9^2)/(2*R^2)) + ((5.9^2 * M)/2)

19.6 * M is = ((17.4*I)/R^2) + 17.4*M

Now We mention Clearing I, we have:

Therefore, I am = 0.126*R^2*M

Learn more about moment of inertia here:-https://brainly.com/question/25955625

#SPJ4

The statement is false. A particle traveling around a circle at constant speed will definitely experience an acceleration.

An object in constant circular motion is actually accelerating. It accelerates because the direction of the velocity vector changes. To explain this, it is necessary to consider that acceleration is necessary to describe a circular trajectory when a particle undergoes a change in direction of velocity that is characteristic of circular motion.

Since the speed is constant, the tangential acceleration of the body is zero. However, because its velocity is constantly changing, there is an acceleration called centripetal acceleration that always points towards the center of its orbit.

To know more about tangential acceleration visit:

https://brainly.com/question/15743294

#SPJ4

If a ball is dropped from an elevated position and at the same time and same height, a second ball is launched horizontally, then both ball will hit the ground together. It can happen because the only force act to both balls vertically is only gravity force.

In this experiment, although both balls have very different horizontal velocities, but it does not affect the vertical motion. Both balls start with zero vertical velocity, and accelerate at the same rate of gravity.

Gravity is a force that pulling together all matter. The more matter, the more gravity, so anything that have such a lot of matter like planets, moons, or stars pull more strongly. Gravity also affected by the mass of the objects and distance between objects.

Learn more about gravity brainly.com/question/2537310

#SPJ4

If the planet Jupiter underwent gravitational collapse, its rate of rotation about its axis would increase .

Gravitational collapse is the contraction of an astronomical object due to the influence of its own gravity, which tends to draw matter inward toward the center of gravity.

If the planet Jupiter underwent gravitational collapse, its rate of rotation about its axis would increase as the speed will increase .

To learn more about gravitational collapse here :

https://brainly.com/question/27975030

#SPJ4

The magnetic field at a point near the center of the solenoid is equal to

4.02 x [tex]10^{-2}[/tex] Tesla

Given details :

Mathematically, the magnetic field at a point near the center of the solenoid is given by this formula:

                             B =  μoIN / L

   Where:

Substituting the given parameters into the formula, we have;

B =  [tex]\frac{4\pi * 10^{-7} * 600*8.00}{0.15}[/tex]

B =  4.02 x [tex]10^{-2}[/tex] Tesla

Learn more about magnetic field of solenoid refer to :

https://brainly.com/question/21842920

#SPJ4

The net external force acting on a car that is traveling westward with a constant velocity of 20 m/s is 0

F = m a

a = v - u / t

F = Force

m = Mass

a = Acceleration

v = Final velocity

u = Initial velocity

t = Time

v = u = 20 m / s

a = ( 20 - 20 ) / t

a = 0

F = m * 0

F = 0

Force is the rate of change in momentum according to Newton's second law of motion. There is no momentum change in this motion. So there is no net force acting on the car.

Therefore, the net external force acting on the car is zero

To know more about Newton's second law of motion

https://brainly.com/question/13447525

#SPJ9