A candle 3.0 cm high is placed 30 cm from a converging mirror with a focal length of 20 cm.

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Answer 1

I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.


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suppose your car's speedometer is geared to accurately give your speed using a certain tire size: 14.5-inch diameter wheels (the metal part) and 4.75-inch tires (the rubber part). if your car's instruments are properly calibrated, how many times should your tire rotate per second if you are travelling at 50 mph?

Answers

If the car's speed is 50 mph the tires will rotate 11.68 times per second.

To calculate the rotation of the tire if

Diameter wheels (the metal part) = d₁ = 14.5 inchesDiameter wheels (the rubber part) = d₂ = 4.75inchesSpeed = v = 50 mph

First, we have to calculate the radius of the wheel.

[tex]R =\frac{d_2 + d_1 + d_2}{2}[/tex]

[tex]R = \frac{4.75 + 14.5 + 4.75}{2}[/tex]

[tex]R = \frac{24}{2}[/tex]

R = 12 inches

Convert the linear velocity.

v = 50 mph

[tex]v = 50 \times \frac{1 \: miles}{1 \: hour}[/tex]

[tex]v = 50 \times \frac{63,360 \: inches}{3,600 \: s}[/tex]

v = 880 inches/s

Formula between angular velocity and linear velocity v = ω R

v = linear velocity = 50 mphR = radius ω = angular velocity

Calculate the angular velocity.

[tex]\omega = \frac{v}{R}[/tex]

[tex]\omega = \frac{880}{12}[/tex]

ω = 73.33 radians/s

Angular velocity has a conection with the frequency (how many rotations in second)
ω = 2πf

π = 3.14f = frequency

[tex]f = \frac{\omega}{2 \pi}[/tex]

[tex]f = \frac{73.33}{2 \times 3.14}[/tex]

[tex]f = \frac{73.33}{6.28}[/tex]

f = 11.68 rotations/second

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A student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice. Which tool will help her collect the necessary data?(1 point)
Responses

meter stick


balance


thermometer


graduated cylinder

Answers

If a student wants to collect data during an experiment about the transfer of kinetic energy in a sample of water and ice, then the tool that will help her collect the necessary data is a thermometer.

What is a thermometer?

A thermometer is a device used in different applications in order to measure the temperature in the surrounding environment and or open systems such as organisms (including humans).

Therefore, with this data, we can see that a thermometer can be used to determine the temperature of an organism and also of the surrounding media.

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Answer:

your answer will be thermometer

Explanation:

if you go to connexus and are doing the science

Thermal Energy Unit Test 10 qestions 8th grd unit 5 test lesson 12 here are the correct answers

1. A. metal is heated from room temperature to 200'C.

2. B. The particles will have more space between them as steam, but they will be moving at the same speed in both states.

3. C. The potential energy decreases due to the tighter arrangement of the particles.

4. B. an increase in heat and an increase in kinetic energy until a phase change occurs.

5. C. thermometer

6. B. 4.

7. D. convection

8. C. Air moves from the areas of higher temperature to areas of lower temperature.

9. C. The temperature of the ice increases, while the temperature of the water decreases

10. A. heat transfer by radiation.

i hope this helps and please let me know if it does! = ) <3

a car, initially moving with some initial velocity, accelerates until its momentum has increased by a factor of 2.39. by what factor has its kinetic energy increased?

Answers

Since the kinetic energy equation squares velocity, velocity increases have exponential effects: while doubling an object's mass doubles its kinetic energy, doubling its velocity quadruples it!

Definition and examples of kinetic energy

The energy of motion, or kinetic energy, is manifested in the motion of a particle, an object, or a group of particles. Kinetic energy is used by any moving thing, including people moving, baseballs being thrown, table crumbs falling, and charged particles in electric fields.

What 3 types od kinetic energy are there?

Kinetic energy is divided into three subtypes: vibrational, rotational, or translational. Unsurprisingly, items that vibrate produce vibrational kinetic energy. Moving objects generate rotational kinetic energy, whereas object collisions generate translational kinetic energy.

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AP physics 1: Extra points!!

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1. There are three forces.

2. Yes, the forces on the beam are balanced.

3. The magnitude of the net force on them is zero.

4. The tension in Cable 1 is 8,596.49 N

5. The tension in Cable 2 is 8,596.49 N

The forces acting on the beam are two tension forces due to the cable and one gravitational pull due to its weight. Thus, there are three forces acting on the beam.

The force on the beam is perfectly balanced as the cable is uniformly attached to it. The beam is moving with constant velocity, thus the acceleration is zero, and hence, the net force acting on it is also zero.

The tension, T, in both cables is equal as they are inclined at the same angle.

Now, we resolve them into rectangular components and write

Tsin35 +Tsin35 = mg = 1000*9.8 = 9800

2Tsin35 = 9800

Tsin35 = 4900

T*0.57 = 4900

T = 8,596.49 N

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In a classroom demonstration, a 79. 2-kg physics professor lies on a "bed of nails. " The bed consists of a large number of evenly spaced, relatively sharp nails mounted in a board so that the points extend vertically outward from the board. While the professor is lying down, approximately 1950 nails make contact with his body. What is the average force exerted by each nail on the professor's body?

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Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back.

The Force of a Bed of Nails

Lying on a bed of nails is one of the most traditional illusions used by magicians. At first glance, it appears like the person lying in the bed of nails will have a hole pierced through their back. According to physics, a force exerted downward will be dispersed across the nails, lowering the force that each nail applies individually. The force that each nail exerts decreases with the number of nails.

Given

m=79.2 kg The mass of the Physics Professor

n=1950

The Number of Nails in the Bed of Nails

Solving for the weight of the professor applied to the board of nails

W=mg

W=(79.2 kg)(9.8 ms2)

W=776.16N

Solving for the force applied by the individual nails.

Fn=Wn

Fn=776.16 N1950Fn=0.398

N Therefore each nail applies 0.398 N of force.

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starting from rest, you drive down a street. when accelerating from 15 mph to 30 mph, your change in kinetic energy is your change in kinetic energy from 0 to 15 mph. a) one third b) one half c) equal to d) two times e) three times

Answers

Kinetic energy, which can be seen in the movement of an object, particle, or group of particles, is the energy of motion.

What is the formula to calculate kinetic energy?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilograms-meters squared per second squared if the mass is measured in kilograms and the velocity is measured in meters per second.Kinetic energy is a unit of measurement for the amount of work that a moving thing can accomplish.KE=1/2mv2

energy KE = units

mass m =  15

velocity v =  30

KE = 6750 J

Here, m stands for mass, a measure of how much matter is contained within an object, and v for velocity, a measure of how quickly the object changes positions.

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an airplane weighing 5500 lb is flying straight and level at msl with a velocity of 220 mi/h. at this velocity the l/d ratio is a maximum. the wing area and aspect ratio are 200 ft2 and 8.5, respectively. the oswald efficiency factor is 0.93. calculate the total drag on the airplane.

Answers

The total drag on the airplane is 97.28

define velocity?

Velocity is the rate of change in position of an object in motion as measured by a certain time standard (e.g., 60 km/h northbound). Velocity is a key notion in kinematics, the branch of classical mechanics that studies body motion.

weight of plane=5500lb

velocity=220m/h

=200x88/60

=292

wing area= 200 ft^2

aspect ratio=8.5

oswald efficiency (E)=0.93

density of air = 1.225Kg/m^3

=0.002377

Drag= 0.5xpxvxAxcd

lift coefficient=0.245

drag coefficient= 0.0024

cd=0.0024+0.0024=0.0048

drag= 0.5x0.002377x(292x292)x200x0.0048

=0.0011885x(85264)x200x0.0048

=97.28 lb

therefore the  total drag on the airplane was 97.28 lb

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The car travels 28m in 7s. What is the speed of the car?

Answers

The Speed of the car is 4m/s.

What is the speed?

The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.

It is the ratio of distance in m and time taken by the object to travel in seconds.

Hence: Distance D=28m

Time       T=7s

Speed S=D/T                            

S=28m/7S                          

S=4m/S

Therefore car's  speed is 4m/S

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The speed of the car is 4m/s

What is speed?

Speed is the rate of change of distance with time.

It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time

From the definition, speed = distance/time

distance is 28m and time is 4s, therefore

Speed = 28/4= 7m/s.

Therefore the speed of the car is 7m/s

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a 12-kg hammer strikes a nail at a velocity of 7.5 m/s and comes to rest in a time interval of 8.0 ms. (a) what is the impulse given to the nail? (b) what is the average force acting on the nail?

Answers

The impulse of given nail is -90 kg-m/s .

The average force acting on nail is 11250 N .

What is impulse and force?

Considering that,

The hammer weighs 12 kg.

The hammer's initial speed when that strikes a nail is u = 7.5 m/s.

At last, it comes to rest when v = 0.

The time is t = 8ms = 0.008 s.

Let J be the impulse applied to the nail in (a). An item receives an impulse equal to a change within the momentum. It comes from:

J = m(v - u)

v = 0

J = -12kg x 7.5 m/s

J = -90 kg-m/s

The impulse is causing motion to move in the opposite direction.

The following provides another definition of impulse:

J = F X t

The average force pushing against the nail is F.

F = J / t

F = 90 kg-m/s / 0.008 s

F = 11250 N .

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a long solenoid has a length of 0.71 m and contains 1255 turns of wire. there is a current of 4.2 a in the wire. what is the magnitude of the magnetic field within the solenoid?

Answers

Answer:

The answer is 9.32x10^(-6) T.

Explanation:

The formula of finding magnetic field in a long solenoid is (B)= (MU)X N X I/L.

MU=4*(PI)*10^-7 h/m

n=1255

i=4.2 A

l=0.71 m

b= 9.32*10^(-6) T.

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light bulbs produce useful energy in the form of light and waste energy in the form of heat. what kind of light bulb would you use to incubate eggs?(1 point)

Answers

To incubate the eggs, we need to use a low-efficiency light bulb because it will produce more heat.

The working light bulb in the incubator is when it turned on the machine the bulb lit up and the box got hot. When the temperature reaches 38 degrees Celsius, the sensor triggers the temperature controller to turn off the bulb. Therefore, the temperature of the box was kept up to a certain limit. Humidity in the box was maintained by a jar filled with water. Water was added daily to keep the humidity between 60% and 90%. Eggs were rotated twice daily to ensure that all sides of the eggs were hatched. This buildup was monitored for up to 22 days.

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which method would be most helpful in locating the center of gravity of an object? which method would be most helpful in locating the center of gravity of an object? applying a known torque to the object hanging the object from a string spinning the object like a top carefully weighing the object

Answers

Plumb-line method By hanging an item from several places and marking the vertical line with a plumb line, you can empirically determine where an object's center of gravity is located.

The object's center of gravity is where two or more vertical lines converge at a point on the plumb line.

A plumb line is a string that hangs perpendicular to the earth's surface with a large weight attached to it. The center of mass of the object will be traversed by a line drawn parallel to the plumb line. Draw a line along the second plumb line after repeating the process with a different attachment point.

Rub a rope through colored chalk to create a plumb line, then tack it to the top of the wall. Then secure the loose end with a plumb bob (or other tiny weight). Pull the cord taut while maintaining the bob's natural position of falling.

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which region of jupiter generates its magnetic field? view available hint(s)for part a which region of jupiter generates its magnetic field? metallic hydrogen layer molecular hydrogen layer gaseous atmosphere rocky core

Answers

The outer core of Jupiter, which is made up of liquid metallic hydrogen, is where electrical currents originate that create the planet's internal magnetic field.

Explain about the outer core?

The third layer of the Earth is its outer core. Iron and nickel, together with trace amounts of other materials, make up the majority of this layer, which is the only one that is liquid. The Earth's magnetic field is created by the outer core. The iron inside the liquid outer core of Earth flows about as it rotates on its axis.

Above the solid inner core of the Earth and below its mantle is a liquid layer made of iron and nickel that is about 2,261 km thick. Its outer boundary is located 2,890 km (1,800 mi) below the surface of the Earth.

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How long does it take an automobile traveling 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially 114 m apart?

Answers

The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.

What time will it take for two cars traveling at different speeds to be at the same distance?

The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:

Let the time it will take the second automobile be T.

the distance traveled by first car = d

distance traveled by second car = d + 114 m

Time = distance / speed

Time taken by first car = d / 41.0

Time taken by second car = d + 114 / 62.5

The two times are equal, hence;

d / 41.0 = d + 114 / 62.5

41d + 4674 = 62.5d

21.5d = 4674

d = 217.4 m or 0.2174 km

distance traveled by second car = 0.2174 + 0.114

distance traveled by second car = 0.3314

Time taken by second car = 0.3314 / 62.5

time taken by second car = 0.0053 hours or 19.1 seconds

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the salad is chemichal or physical change

Answers

Answer:Physical

Explanation:

Answer:

physical change

Explanation:

Making a fruit salad, with raw fruits is considered as physical change because in this process chemical composition of fruits is not changed. It is simply changing the shape of the substance.

a resistor r is connected to the terminals of a battery with a potential difference v. as a result of the connection, a direct current i passes through the resistor. if the resistor is replaced by a different resistor with a resistance 3r, what effect, if any, will there be on the current passing through the resistor?

Answers

On the basic of Ohm's law , we can see that when resistance increase on replacing then current passing through resistance decreses.

In the given question we have,

resistor r is connected of a battery with potential difference v and a direct current i , passing through the resistor.

According to Ohm's law , the current passing through the condutor is directly proportional to the voltage applied to it and inversely proportional to resistance.

V = IR

where, I ---> current passing through resistor

R----> resistance

V ----> Voltage

or I = V/R ---(1)

Now, it is given that when resistor is replaced by other one and resistance become 3r. From (1) we see as resistance increases the current passing through resistor decreses.

So, as resistance increase by 3r then current passing through resistance decreses by 1/3r.

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Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
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Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter

Answers

The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³

How do I determine density of the olive oil?

We know that density is defined as mass per unit volume. It is expressed as:

Density = mass / volume

Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:

Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?

Density = mass / volume

Density of olive oil = 690 / 750

Density of olive oil = 0.92 g/cm³

Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³

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If you know the acceleration and time, how can you calculate the average velocity?.

Answers

The average velocity in terms of acceleration and time is 1/2at².

Average velocity:

Velocity is 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.

Assume the acceleration a is uniform then:

v(t) = u + at

u = initial velocity

By average velocity v we mean average over time than strictly speaking:

v = 1/t [tex]\int\limits^t_0 {v(t)} \, dt[/tex]

  = 1/t [tex]\int\limits^t_0 {(u + at)} \, dt[/tex]

  = 1/t ( ut + 1/2 at²)

 v = u + 1/2at²

If u =0, then we have

v = 1/2 at²

Therefore the average velocity is 1/2at².

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A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.

Answers

If a resistor, an inductor and a capacitor are connected in series, the phase angle between the voltages of the inductor and capacitor in a RLC series circuit is 180 degrees.

A resistor , capacitor and inductor are key components of a RLC circuit. Resistor doesn't store energy but capacitor and inductor stores energy and that is the reason resistor is called a passive element and inductor and capacitors are called active element.

Inductor leads the current by a phase angle of 90 degrees and the voltage across the capacitor lags the current by 90 degrees, so the phase difference between the voltages of the inductor and the capacitor is 180 degrees in an RLC circuit.

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When energy in a system is transformed, what happens to the total amount of energy in the system?

Answers

When the energy in a system is transformed, the total amount of energy in the system is always conserved.

What does it mean when energy is transformed?

The changing of one form of energy into another, or the movement of energy from one place to another. An energy transformation is a change of power from one form to another. Fire (Chemical energy Heat and Light) Electric lamp (Electrical energy Heat and Light), Microphone (Sound Electrical energy), Wave power (Mechanical energy Electrical energy). Energy transformation is also known as energy regeneration which is a process of changing energy from one form to another. Energy transformations are procedures that convert energy from one type, for example, kinetic, gravitational potential, and chemical energy.

So we can conclude that an energy transformation is the change of energy from one form to another.

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what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?

Answers

A proton will accelerate at 1.27 109 m/s2. The rate of a change in velocity is called acceleration.

A magnetic field is what?

It is the kind of field that produces magnetic force. use a magnetic field to assist. The field that is sensed around a moving electric charge is how the magnetic force is measured.

The information provided in the issue is;

What is a proton's acceleration equal to?

The speed is 8.0 m/s, therefore v.

B = 1.8 T is the magnetic field.

The centripetal force and the megnetic force are equivalent;

qvB =m v/r

ac = 1.6 * 10 -18* 9.5* 1.8/1.67810-27

=1.27*10m/s

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A 10,764.0 kg and a 12,008.0 kg object has a force of attraction of 0.0000630000 N. How far away are they from each other?

Answers

The distance between the two masses of 10764 kg and 12008 kg, with a force of attraction of 0.00006 N cating on them is  36.99 m.

What is distance?

Distance can be defined as the length between two points.

To calculate the distance between the masses, we use the formula below.

Formula:

r = √(GMm/F)............ Equation 1

Where:

r = Distance between the massesM = First massm = Second massG = Universal constantF = Force of attraction.

From the question,

Given:

M = 10764 kgm = 120080 kgF = 0.000063 NG = 6.67×10⁻¹¹ Nm²/kg²

Substitute these values intoe quation 1

r = √[(10764×120080×6.67×10⁻¹¹)/0.000063]r = 36.99 m

Hence, the distance between the masses is 36.99 m.

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a 20.0 kgkg wood ball hangs from a 1.30 mm -long wire. the maximum tension the wire can withstand without breaking is 400 nn . a 0.900 kgkg projectile traveling horizontally hits and embeds itself in the wood ball. part a what is the largest speed this projectile can have without causing the cable to break? express your answer with the appropriate units.

Answers

The answer is  99.5m/s

When the bullet strikes the wood it starts moving and due to cable its starts moving in circular motion so a centripetal force is generated towards the center  so we can write
T - mg = mv²/r

Given:
m = (20 + 0.9)kg
maximum T = 500N
r = 1.3m
so,
500 - (20.9)(9.8) = (20.9) v²/ 1.3
v² = 4.285m/s

so the speed of wooden ball and projectile is 4.285m/s
Now by conservation of momentum
     m₁v₁ = m₂v₂
(0.9)v = (20.9)(4.255)
v = 99.5m/s
So the safest speed of projectile is 99.5m/s

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(a) if the kinetic energy of a baseball is doubled, by what factor has its speed increased? (b) if its speed is doubled, by what factor does its kinetic energy increase?

Answers

Due to the fact that kinetic energy is proportional to the square of the speed, doubling the speed results in a four-fold increase in kinetic energy.

As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.

Speed squared determines kinetic energy. The kinetic energy of an item increases by a factor of four with speed.

Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.

Thus, the relationship between kinetic energy and mass and velocity is direct. Since kinetic energy is exactly proportional to both the square of velocity and mass, its value increases by an order of eight.

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naoki's bicycle has a mass of 10 kg. if naoki sits on her bicycle and starts pedaling with a force of 138 n, causing an acceleration of 2 m/s2, what is naoki's mass? a. 71 kg b. 20 kg c. 59 kg d. 69 kg

Answers

The correct answer is 59 kg

Given-

Mass of bicycle = 10 kg

                      F = 138 N

                      a = 2 m/s²

The mass of any body can be calculated by the force and acceleration of that body. We can use the formula as-

Calculation:

                    F = ma    

                   m = F/a

                       = 138/2

                       = 69 kg

                   m = mass of bicycle + Naoki's mass. Then

                  69 = 10 + Naoki's mass

                  Naoki's mass = 69 - 10 = 59

Naoki's mass = 59 kg

Therefore, the mass of Naoki that sits on the bicycle and is pedalling is 59 kg.

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why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?

Answers

If no external force on the Centre of mass remains stationary. In order to do that displacement in lighter body must be more than that of heavier ball.

The sum of the starting momentums of the two bodies when they collide is equal to the sum of their final momentums, according to the law of conservation of momentum.

The experimental system supports the law of conservation of linear momentum when a collision occurs between a heavier ball and a lighter ball in the absence of any other external forces.

The centre of mass does not move due to any external forces. A lighter body must have a greater displacement than a heavier ball in order for that to happen. Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting location to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B. Displacement is the name for this shift in an object's position.

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a cylindrical space colony 13 km in diameter and 30 km long has been proposed as living quarters for future space explorers. such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. all this would be held in place by the rotation of the cylinder about the long axis. how fast would such a cylinder have to rotate at its perimeter to produce a 1-g gravitational field at the walls of the cylinder?

Answers

0.00048 rad/s should be the angular velocity of the cylinder to produce a 1-g gravitational field at the walls of the cylinder.

The following problem requires understanding angular velocity and centripetal acceleration to obtain the result. The angular velocity of a body is defined by its virtue of velocity at a particular angle on an axis.

Centripetal acceleration is acceleration when the body is rotating and that acts towards the midpoint of the circular movement.

centripetal acceleration = rω² (derived from v²/r)

here

ω = angular velocity of the cylinder

r = radius of the space colony = 13km / 2 ⇒ 6.5km or 6500m

Substituting the values,

a = g ⇒ 9.8m/s²

ω = √9.8 / 6500 = 0.00048 rad/s

∴The cylinder should rotate at 0.00048 rad/s for producing a 1-g gravitational field.

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a certain volume of gas was confined in a rigid container. if the pressure of the gas sample in the container was doubled, what happened to the temperature?

Answers

The pressure of the gas in the rigid container is doubled, then the temperature will also increase by two times.

According to ideal gas equation,

PV = nRT

Where, P is pressure, V is volume, n is the moles, T is temperature of the gas and R is the gas constant.

A certain volume of gas is put in the container means that the volume and the mole of the gas are constant so, we can write,

PV = Constant,

P₁/T₁ = P₂/T₂

Let us say that P₁ and V₁ are initial parameters, If the volume of the container is doubled, then, P₂ = 2P₁,

So,

P₁/T₁ = 2P₂/T₂

T₂ =  2T₁.

So, the temperature of the gas will be increase by two times,

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The SI unit for the electric for is __ .
A) Coulomb
B) Newtons
C) Joules
D) Meters
Pick ONE only.

Answers

Answer:

The SI unit for the electric for is

A) Coulomb

a 10 kg ball is tied to a 7 meter long string. the ball is spun in a circle with a constant speed. the maximum tension allowed in the string before it breaks is 100 n. (a)if spun in a horizontal circle, what is the maximum speed the mass can attain?

Answers

The highest rate of speed a person can reach is called maximum speed.When athletes alter the magnitude or direction of their motion, or both.

What is the maximum speed the mass can attain?

The maximum speed the stone can attain is 8.366 m/s

Data;

   Mass = 10kg

   radius of tangential path = 7m

   Tension = 100N

Centripetal Force

The centripetal force of the stone can be calculated as

Fe =mv/r

v² = Tr/m

v=√Tr/m

v=√100*7/10

v=8.366 m/s

The tension acting on the string is given as

The maximum speed the stone can attain is 8.366m/s

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