A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible

Answers

Answer 1

The horizontal distance travelled by the box is 143 m.

What is the horizontal distance travelled by the box?

The horizontal distance travelled by the box is calculated by determining the time of motion of the box and the horizontal velocity of the airplane.

The time of motion of the box from the vertical height in which it was dropped is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the initial vertical velocity of the box  = 0t is the time of motion of the boxg is acceleration due to gravityh is the height of fall of the box

h = 0 + ¹/₂gt²

t = √ ( 2h / g )

t = √ ( 2 x 40 / 9.8 )

t = 2.86 seconds

The horizontal distance travelled by the box is calculated as follows;

d = Vₓ t

where

Vₓ is the horizontal velocity of the airplanet is the time of motion

d = ( 50 m/s ) x ( 2.86 s )

d = 143 m

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The complete question is below;

A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible. Find the horizontal distance travelled by the box.


Related Questions

Most space lawyers agree that the barrier between airspace and outer space lies somewhere between where
the highest planes fly and the lowest satellites orbit.
True
False

Answers

True. The majority of space lawyers concur that the line dividing airspace from outer space is located halfway between the altitude at which airplanes fly and the orbital altitude of satellites.

What purposes do satellites serve?

They serve a variety of functions, including that of the Satellite Navigation System, amateur radio, television transmission, and weather forecasting. In order to conduct study and acquire data, they also employ telescopes to view outward somewhere at solar system.

Do satellites provide internet access?

Over 99% of Americans have access to satellite internet, along with most other (but certainly not all) rural residents. You do not need to have a home internet connection because the broadband signal is transmitted from satellites.

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Batman shoots a grappling hook
34.6 m/s at an 80.2° angle. What is the magnitude only (no direction) of the velocity of the hook 1.09 s later?

(Unit = m/s)

Answers

Answer:

24.132 m/s

Explanation:

Note

[tex]U[/tex] = Initial Velocity

[tex]U_x[/tex] = Initial Horizontal Velocity

[tex]U_y[/tex] = Initial Vertical Velocity

[tex]V[/tex] = Final Velocity

[tex]V_x[/tex] = Final Horizontal Velocity

[tex]V_y[/tex] = Final Vertical Velocity

[tex]B[/tex] = launch angle

[tex]g[/tex] = gravity

[tex]t[/tex] = time

[tex]U_x=U*cos(B)[/tex]

[tex]U_y=U*sin(B)[/tex]

The horizontal component of the velocity is constant throughout the flight. So [tex]U_x=V_x[/tex] It can be defined as

[tex]V_x=U*cos(B)[/tex]

We can use the kinematics equation

[tex]V=U+at[/tex]

Gravity is acting downwards; gravity would be negative

[tex]V_y=U_y-gt[/tex]

The magnitude of the velocity can be defined as

[tex]V=\sqrt{V_x^2+V_y^2}[/tex]

Inserting some of the other equations gives us an equation at a given time (t).

[tex]V=\sqrt{(U*cos(B))^2+(U*sin(B)-gt)^2}[/tex]

[tex]V=\sqrt{(UcosB)^2+(UsinB)^2+(gt)^2-2gtU*sinB[/tex]

[tex]V=\sqrt{U^2+g^2*t^2-2*t*g*U*sinB}[/tex]

[tex]V(t)=\sqrt{U^2+g^2t^2-2tgUsinB}[/tex]

We are given

[tex]U=34.6[/tex]

[tex]B=80.2[/tex]

[tex]t=1.09[/tex]

[tex]g=9.81[/tex]

[tex]V(1.09)=\sqrt{34.6^2+9.81^2*1.09^2-2*1.09*9.81*34.6*sin80.2}[/tex]

[tex]V(1.09)=\sqrt{34.6^2+114.338-2*1.09*9.81*34.6*sin80.2}[/tex]

[tex]V(1.09)=\sqrt{34.6^2+114.338-739.94868*sin80.2}[/tex]

[tex]V(1.09)=\sqrt{34.6^2+114.338-729.151}[/tex]

[tex]V(1.09)=\sqrt{1197.16+114.338-729.151}[/tex]

[tex]V(1.09)=\sqrt{582.347}[/tex]

[tex]V(1.09)=24.132[/tex]

A rating/review would be much appreciated. Hope this helps!

Let me know if you have any questions about my work

A jug containing water at 26° C while another contains water at 82°C,if a patient wish to bath with water 40°C , the ratio of the mass of hot water to that of cold water is_​

Answers

Answer:2:7

Explanation:

Quantity of heat energy before mixing= Quantity of heat energy after mixing

M1. S1.T1+ M2.S2.T2= M.S3.T3

Let, .

M1 = mass of cold water

M2 = mass of hot water

S1=S2=S3=S

M=M1+M2

T1=28,T2=82,T3= 40

M1.28 + M2.82= (M1+M2)40

M1.28 + M2.82= M1 40+M2.40

M2.82 -M2.40= M2.40–M1.28

M2.42= M1. 12

M2/M1= 12/42= 2/7

Or

M2: M1= 2:7

Two students push on a box in the same direction, and one student pushes in the opposite direction. What is the net force on the
box if each student pushes with a force of 50 N?

Answers

Net force on the box is 50 N if 2 students push it in the same direction with 50 N of force each and one student pushes it in the other direction with 50 N of force.

Define force.

An object with mass experiences a pull or push, which changes its velocity. An agent with the ability to change a body's rest or moving condition is known as an external force. It has both magnitude as well as direction.

The force formula according to Newton is what?

F = ma, meaning force is equal to the mass times acceleration, is the second of Newton's three laws of motion.

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A force of 50N applied to the end of a lever moves that end a certain distance if the other end of the lever is moved half as far how much force does it exert?

Answers

The force exerted at other end is 100N.

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.Mathematically, the above statement is expressed as follows:

                              W = (F cos θ) d = F. d

Where,

W is the work done by the force.

F is the force, d is the displacement caused by force

θ is the angle between the force vector and the displacement vector

Let , F' = Force exerted on ladder at other end

       d' = distance moved = d/2 (given)

i.e.  W = F'd' and W = Fd

Using these two equations we get, F'd' = Fd

i.e. F' = Fd/d'

Given, F = 50N and d' = d/2

Putting these values in above equation we get, F' = 100N

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19. A pitcher throws a baseball toward a batter at 30m/s. The batter swings his
bat and hits the baseball. The baseball flies away in the opposite direction at a
speed of 35m/s. Is there a transfer of energy in this situation? (SC.7.P.11.4)
a) Yes, because both the bat and the ball are moving after the collision.
b) No, because the ball and the bat only touched for a short time.
c) Yes, because the force from the bat changes the motion of the ball

Answers

A pitcher throws a baseball towards a batter at 30m/s. The batter swings his bat and hits the baseball, then there is a transfer of energy in this situation : c) Yes, because the force from the bat changes the motion of the ball.

How is energy transferred from baseball bat to a baseball?

Although baseball may appear hard and solid, it actually behaves much like a rubber ball. In the fraction of a second that ball collides with the swinging bat, ball compresses as the energy of motion goes into deforming the ball and transforms it into an elastic potential energy.

The collision of baseball with bat is elastic and the collision between baseball and glove is nearly inelastic.

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Heat Transfer 12 Directions: Drag the arrows to the correct locations on the image. directions in which heat flows. The diagram below shows three solid objects. Two of the objects are hot and one is cold. If heat is transferred between these objects via conduction, use the arrows to indicate the direction.

That's the question and please someone help me I can't figure this out because of how much I've been absent throughout this lesson

Answers

If heat is transferred between these objects via conduction, both arrows will point towards the cold.

Heat energy is transferred through the mechanism of conduction when nearby atoms or molecules collide. In solids and liquids, where particles are more closely spaced, conduction happens more easily than in gases, where particles are more widely spaced. Heat transfers through solid materials via conduction. The roof, walls, and windows of your house all carry heat on hot days.

The act of heating a skillet on a stovetop is a typical illustration of conduction. The surface of the pan receives heat directly from the burner. The amount of kinetic energy that the particles in a sample of matter have converted to heat is measured by temperature. Conduction mostly comes in two flavors. Steady-state conduction is what they are. temporary conduction.

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A 68.2 kg high jumper leaves the ground with a vertical velocity of 8 m/s. How high can he jump? The acceleration of gravity is 9.8 m/s². Answer in units of m.​

Answers

He can jump 14m/s here

The sum of the x components of vectors A and B in (Figure 1 ) is
-5
4
14
6
Vectors A and B are shown in a tip to tail arrangement. Vector A begins at the origin (0,0) and ends at the x y coordinate (9,3). Vector B begins at the tip of vector A and ends at the x y coordinate (4,6).

Answers

The resultant (x,y) coordinate of vector B is  (- 5, 3) and that of A is (9,3). Then, the sum of x components of vector A and B is 4.

What are vectors ?

Vectors are physical quantities having both magnitude and direction. For example force, velocity, displacement etc .are vector quantities. Coordinates are used to describe the position of these vectors.

The coordinates of tail of  the vector A is (0, 0) and the head is (9,3)

Then the coordinate of A is (9 -0, 3-0) = (9,3)

Similarly, the tail coordinate of B is (9,3) and head is (4,6). The coordinates of B vector is (4-9, 6-3) = (-5, 3)

Now the sum of x components of A and B is = - 5 + 9 = 4.

Therefore, option b is correct.

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A solenoid is connected to a battery as shown in the figure, and a bar magnet is placed nearby. What is the direction of the magnetic force that this solenoid exerts on the bar magnet? (Hint: Think of the solenoid as a bar magnet, and identify what would be its north and south poles.)

Answers

According to the right-hand rule, the magnetic field of the solenoid will be directed towards the left direction.

What is Right-hand rule?

Right Hand Thumb Rule is the rule which is used If a current carrying conductor is imagined to be held in the right hand direction such that the thumb always points along the direction of the current flow, then the direction of the wrapped fingers in the hand will give the direction of the magnetic field lines of the bar magnet.

By the application of the right-hand rule, the magnetic field of the solenoid will be directed towards the left hand direction.

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How much force is needed to accelerate a 100 kilogram car 5 meters per second?

Answers

The force needed to accelerate the mass of 100 kg is 500 N.

What is force?

Force is the product of mass and acceleration. The S.I unit of force is Newton (N).

To calculate the amount of force needed to accelerate the mass of 100 kg, we use the formula below.

Formula:

F = ma.................. Equation 1

Where:

F = Forcem = Mass a = Acceleration

From the question,

Given:

m = 100 kga = 5 m/s²

Substitute these values into equation 1

F = 100×5F = 500 N

Hence, the force is 500 N.

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Which law of motion accounts for the following statement? An apple accelerates as it falls from a tree

Answers

The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.

As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.

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acceleration to move 650N with mass of 100 kg​

Answers

To calculate acceleration, you need to use the formula: acceleration = force / mass.

In this case, the force is 650 N and the mass is 100 kg, so the acceleration would be:

acceleration = 650 N / 100 kg
= 6.5 m/s^2

This means that if a force of 650 N is applied to an object with a mass of 100 kg, the acceleration of the object will be 6.5 m/s^2.

Question 5 of 15:
Select the best answer for the question
5. Eighteen cubic feet of air having a pressure of 60 psia and a temperature of 190 F is to be compressed, together with 28 cu ft of air having a pressure of 40 psia and a temperature
of 60 F, in a vessel whose volume is 22 cu ft. What will be the temperature of the mixture, if its pressure is 100 psia?
7
O A. 370 F
O B. 577 F
O C. 117 F
O D. 90 F

Answers

90 F. The temperature of the mixture can be calculated using the Ideal Gas Law.

This states that the product of the pressure, volume, and absolute temperature of a gas is equal to the product of the number of moles of the gas and the universal gas constant.

Using this equation, we can solve for the temperature of the mixture, given the total pressure and the total volume of the mixture.

We can first calculate the total number of moles of the mixture, by assuming both gases are ideal:

18 cu ft of gas at 60 psia and 190 F = 1.64 moles

28 cu ft of gas at 40 psia and 60 F = 1.28 moles

Total moles of the mixture = 2.92 moles

Using the Ideal Gas Law, we can then calculate the temperature of the mixture:

(100 psia x 22 cu ft x T) = (2.92 moles x 0.082)

T = 90 F.

What is the Ideal Gas Law?

The Ideal Gas Law is an equation that describes the relationship between pressure, volume, temperature, and amount (in moles) of an ideal gas. It states that: PV = nRT, where P is the pressure, V is the volume, n is the amount of substance, R is the ideal gas constant, and T is the temperature.

Hence, Option D is correct.

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Helen is para sailing. She sits in a seat harness which is attached by a tow rope toba speedboat. The rope makes an angle of 59.9* with the horziontal and has a tension of 364N. Determine the horziontal and vertical component of the tension force

Answers

To find the horizontal and vertical components of the tension force in para sailing, we can use the basic trigonometric ratios of sine, cosine and tangent.

How to use trigonometric ratios ?First, given the rope's angle (59.9 degrees) and the tension force (364 N), we can apply the following formula to determine the tension force's horizontal component (Fx): Fx = Tension force x cos(angle) = 364 N x cos (59.9).Next, we can use the angle of the rope and the tension force to find the vertical component (Fy) of the tension force using the formula: Fy = Tension force x sin(angle) = 364 N x sin(59.9)You must convert the angle to radians because these calculations, as you should be aware, employ radians rather than degrees.As a result, the tension force's horizontal component has the following formula: Fx = 364N x cos(59.9) = 225.98N roughly.Additionally, the vertical component of the tension force is roughly 318.6N, or Fy = 364N x sin(59.9)According to these calculations, the tension force has two components: a horizontal component that is 225.98 N and a vertical component that is 318 N.

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A snowboarder on a slope starts from rest and reaches a speed of 3.4 m/s after 7.3 s.

Answers

The acceleration of the snowboarder is 0.466 m/s².

What is acceleration?

Acceleration is the rate of change of velocity.

To calculate the acceleration of the snowboarder, we use the formula below.

Formula:

a = (v-u)/t........................ Equation 1

Where:

a = Accelerationv = Final velocityu = Initial velocityt = Time

From the question,

Given:

v = 3.4 m/su = 0 m/st = 7.3 s

Susbtitute these values into equation 1

a = (3.4-0)/7.3a = 0.466 m/s²

Hence, the acceleration is 0.466 m/s².

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Sally and Sam are in a spaceship that comes to within 15,000 km of the asteroid Ceres. Determine the force Sally experiences, in N, due to the presence of the asteroid. The mass of the asteroid is 8.7 1020 kg and the mass of Sally is 68 kg. For calculation purposes, assume the two objects to be point masses.

Answers

The gravitational force that is acting on the masses is 1.73 * 10^-2 N.

What is the force?

We know that the force of gravity is that kind of force that is going to act on any two of the objects that we have on the earth. This force as we know it is attractive force. The implication of this is that any two masses that we find on the earth are the forces that would have to be attracted to each other.

Let us note that we would have the masses that we have of the asteroid and that of sally as m1 and m2 while we have the force as;

F = G m1m2/r^2

G = gravitational constant

F = magnitude of the force

m1 and m2 = masses

r = distance of separation.

We then have;

F = 6.6 * 10^-11 * 8.7 * 10^20 * 68/(15 * 10^6)^2

F = 3.9 * 10^12/2.25 * 10^14

F = 1.73 * 10^-2 N

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a stage light uses a white lamp wgat color of light will be seen when
a yellow filter is used
an orange filter is used

Answers

Answer:

Explanation:

When a yellow filter is used, the stage light will appear yellow because the filter absorbs all colors of light except for yellow, which it allows through. When an orange filter is used, the stage light will appear orange for the same reason.

It is important to note that the color of the lamp itself will not change, but the light that is seen by the observer will appear to be the color of the filter due to the absorption and transmission properties of the filte

Across a resistor, voltage
a. drops
b. builds
c. speeds up

Answers

Answer:

drops

Explanation:

Ohm's Law states that V=I*R, where V is voltage, I is current and R is resistance. In a series circuit, the voltage drop across each resistor will be directly proportional to the size of the resistor. In a parallel circuit, the voltage drop across each resistor will be the same as the power source

A 3.00kg mass is attached to an ideal spring with k=200N\m if the velocity of body at 0.25m Is 2.3m\s find the amplitude and maximum velocity

Answers

To solve this we must be knowing each and every concept related to velocity. Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.

What is velocity?

V is the velocity measurement of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.

For example, if an item travels west with 5 meters a second (m/s), its velocity to the west will be 5 m/s. The most frequent and simplest approach to determine velocity is using the formula shown below.

v = √(k / m) ×A

v = velocity of the mass

k= spring constant

m =mass of the object

A= amplitude of the oscillation.

substituting all the given values in the above equation, we get

2.3 m/s = √(200 N/m / 3.00 kg)×A

A = 2.3 m/s / √(200 N/m / 3.00 kg)

    = 0.23 m

v =√(200 N/m / 3.00 kg) ×0.23 m

 = 2.75 m/s

Therefore, the amplitude and maximum velocity are 0.23 m and 2.75 m/s respectively.

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To understand the nature of electric fields and how to draw field lines In (Figure 2), what is wrong with panel B7 (Pick only those statements that apply to panel B) Electric field lines are a tool used to visualize electric foiled
Part B
In (Figure 2), what is wrong with panel B? (Fick only those statements that apply to panel B) Check all that apply.
Field liner caneot cross each other
The fold lines should be paraller becauze of the sheers symunner.
The field lnes chould spread apart as they leare the sheet to indiate mhr woakering of the field with gistance.
The field lines should always end on negative charges of at infinity.
in panel B, the field lines do end on negative charges, so this is not a problem No credit lost Try again D Submit Previous Answers

Answers

In (Figure 2), the wrong with panel B is: Field line can not cross each other the field lines should be parallel because of the sheers summoner.

What is electric field line?

In general, an electric field line is a curve drawn with each point's tangent pointing in the direction of that point's net field. To designate the direction of the electric field from the two potential directions provided by a tangent to the curve, an arrow on the curve is obviously required. A field line is a space curve, or a three-dimensional curve.

The wrong with panel B is: Field line can not cross each other.

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The coyote, whose mass is 20kg is chasing the roadrunner when the coyote accidentally runs off the edge of the cliff and plummets to the ground 30m below. What force does the ground exert on the coyote as he makes a coyote-shaped dent 0.420m deep in the ground.

Answers

The force is 196 N (20kg x 9.8 m/s2)

What is force ?

Force is an action or influence that causes an object to change its state of motion or rest. Force can be exerted by a single object or by two or more objects interacting with each other. Examples of force include friction, gravity, magnetism, electricity, and pressure. The magnitude of a force is usually measured in newtons (N) and is determined by the amount of mass and acceleration of the object it is acting upon.

The force exerted on the coyote by the ground is equal to the mass of the coyote multiplied by the acceleration due to gravity, which is 9.8 m/s2.

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Directions: Unscramble each word. Then write each term on the line before its definition.
1. antstonc
2. desep
3. ticlovey
4. onlacietrace
5. emincedsplat
6. tomoni
7. cenferree nitop
8. spooniti


9. measure of change in velocity
10. distance an object moves in a unit of time
11. change of position
12. distance and direction from a reference point
13. not changing
14. speed of an object in a given direction
15. distance between the initial and final position
16. starting point used to describe the location of an object

Answers

Answer:

constantspeedvelocityaccelerationdisplacementmotionreference pointposition

Explanation:

Above is the unscrambled words. Hope this helps!

A bullet traveling at 5.0 x10^2 meters per is brought to rest by an impulse of 50 Newton*seconds. Find the mass of the bullet.

Answers

The bullet stops moving on hitting on a surface. Hence, the impulse here is equal to the momentum. Therefore, the mass of the bullet is 0.1 Kg.

What is impulse?

Impulse in physics is the change in momentum. It is the product of the force and change in time.

hence, impulse = f. dt

When the bullet is travelling with  a velocity of 500 m/s it has a momentum. When it brought to rest, momentum become zero. Thus, the momentum is equal to the impulse here.

Therefore, f.dt = m. v

f.dt = 50 N s

v = 500 m/s

m = 50 N s/500 m/s = 0.1 Kg

Therefore, the mass of the bullet is 0.1 Kg.

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2. How much work is done in lifting 214kg from the floor to a shelf at a height of 6m?

Answers

Answer:

12583.2 J or 12.5832 KJ

Explanation:

Work done can be expressed as force multiplied by displacement, or

W = Fs

In this case, we can calculate the force by using F = mg.

m is the mass, 214 kg, and g is gravitational acceleration, which is 9.8 m/s/s.

So, we Calculate 214 * 9.8 to get 2097.2

The displacement is 6m.

So, by doing W = Fs, we get

2097.2 * 6 = 12583.2 Joules

how is the energy of boiling water in an electric kettle a different energy from electric fan changing to kinetic energy

Answers

The energy of boiling water in an electric kettle is thermal energy, which is created by a transfer of electrical energy from the kettle to the water.

What is Energy?

Energy is a fundamental physical quantity that is a property of objects and their environment. It is the ability to do work and is often associated with the motion of objects. In physics, energy is defined as the capacity to do work and is measured in joules. It can take many forms such as thermal, kinetic, electrical, mechanical, and chemical.

Electric fan changing to kinetic energy is the conversion of electrical energy from the fan motor into kinetic energy, which is the energy of motion.

Kinetic energy is basically the energy of motion. It is the energy an object has due to its motion. It is defined as the work which is needed to accelerate a body of a given mass from rest to its current velocity.

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At what separation will two charges, each of magnitude 6.0 μC, exert a force of 0.70 N on

each other?

Answers

The two charges, each of magnitude 6.0 μC, exert a force of 0.70 N at separation  of 1.47 meters.

What is electric force?

Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. One of the many forces that affect objects is the electric force.

We know that electric force can be defined as:

Force: F = kQq/r²

0.70 = 9.0 × 10⁹ × (6.0×10⁻⁶)²/r²

r = 1.47 meter.

Hence, the separation between them is 1.47 meters.

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the air in a kitchen has pressure 1.0 x 10^5 Pa and temperature 22C. A refrigerator of internal volume 0.36 m^3 is installed in the kitchen. with the door open the air in the refrigerator is initially at the same temperature and pressure as the air in the kitchen. calculate the number of molecules of air in the refrigerator

Answers

You can answer this question using the equation PV = nkT, with the Boltzmann constant. This equation should come to mind since they listed every variable in the equation except for n, which is used to calculate the number of molecules!

Also note that temperature should be in Kelvin, so we should do a quick conversion!
K = 273 + C

K = 273 + 22

K = 295

Now we can plug and chug!

[tex]PV=nRT\\(1.0*10^5)(0.36)=n(1.38 * 10^{-23})(295)\\n=\frac{(1.0*10^5)(0.36)}{(1.38 * 10^{-23})(295)}\\n=8.84*10^{24}[/tex]

Therefore, there are 8.84E24 molecules of air in the refrigerator!

The number of molecules of air in the refrigerator is 14.67.

Given:

P = 1.0 x 10⁵ Pa

V = 0.36 m³

R = 8.314 J/(mol·K)

T = 295.15 K

To calculate the number of molecules of air in the refrigerator, the ideal gas law can be used, which states: PV = nRT

where:

P = pressure of the gas

V = volume of the gas

n = number of moles of gas

R = ideal gas constant

T = temperature of the gas

First, let's convert the temperature from Celsius to Kelvin:

T = 22°C + 273.15 = 295.15 K

Now, rearrange the ideal gas law equation to solve for the number of moles (n) of gas:

n = PV / RT

Substituting in the values:

[tex]n = \frac{1.0 \times 10^5 \times 0.36}{8.314 \times 295.15}\\[/tex]

n = 0.0001467 × 10⁵

n = 14.67

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As a warehouse worker pushes a crate across a concrete floor, the force he
applies is not perfectly horizontal, as shown in the image below. If the
coefficient of kinetic friction between the crate and concrete floor is 0.5, what
is the net force on the crate?
Pushing Force
350 N
Weight
460 N
OA. 95 N
OB. 115 N
O C. 130 N
OD. 145 N
10⁰
-Friction Force
2

Answers

The crate will be under a net force of 95 N. Resolving the force in the x-direction yields the net force on the crate: F = 300 cos 10° - N F= 295.44-196.45, F= 95.

How do you calculate the frictional force?

The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

What are the friction laws?

The friction of a moving item is inversely proportional to the normal force and runs perpendicular to it. The type of surface the thing comes into touch with determines the amount of friction it experiences. As long as there is a point of contact, friction does not depend on the area of contact.

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If a ball is travelling in a circle of diameter 10m with velocity 20m/s, find the angular velocity of the ball.​

Answers

Answer:

4 rad/s

Explanation:

The angular velocity is velocity over time:

[tex]\displaystyle{\omega = \dfrac{v}{r}}[/tex]

We know that the velocity is 20 m/s and the radius is half of diameter which is 10m/2 = 5 m. Hence, substitute in the formula:

[tex]\displaystyle{\omega = \dfrac{20 \: \text{m/s}}{5 \: \text{m}}}\\\\\displaystyle{\omega = 4 \: \text{rad/s}}[/tex]

Therefore, the angular velocity is 4 rad/s

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