A small ball of mass M is attached to the end of a uniform rod of equal mass M and length L that is pivoted at the top. Determine the tensions in the rod (a) at the pivot and (b) at the point P when the system is stationary. (c) Calculate the period of oscillation for small displacements from equilibrium and (d) determine this period for L = 2.00m .

Answers

Answer 1

The tensions in the rod

(a) at the pivot is 2mg

(b) At the point P when the system is stationary is  mg (1+y/L)

(c) The period of oscillation for small displacements from equilibrium.

(d) For L = 2.00m, t = 2.68 s

Does displacement have an impact on the oscillation period?

As long as the spring is not stretched out of shape, the period T of the oscillating system is independent of the displacement from rest. The time it takes for a system to complete one oscillation before returning to its initial position is known as the period.

Does a rod have tension?

In physics, tension is defined as the pulling force that is transmitted axially through the use of a string, rope, chain, or similar object, or by the ends of a rod, truss member, or other similar three-dimensional objects. Tension can also be defined as the action-reaction pair of forces acting at the ends of the aforementioned elements.

(a) At the pivot,

F = mg + mg =2mg

(b) At the point P when the system is stationary,

F = mg (y/L) + mg = mg (1+y/L)

(c) The period of oscillation for small displacements from equilibrium,

(d) For L = 2.00  m

t = 2.68 s

The tension in the rod at the pivot is 2mg, and at the point P when the system is stationary is mg (1+y/L).

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Related Questions

What happens if you move a magnet back and forth inside a coil of wire?

Answers

When we move the magnet back and forth inside the coil of the wire,  it will produce a voltage.

When a magnet moves into a coil of wire, the magnetic field and flux through the coil change, creating a voltage in the coil according to Faraday's Law. In the example shown below, as the magnet moves into the coil, the galvanometer deflects to the left in response to the increasing magnetic field. When a magnet or coil repeats the reciprocating motion, alternating current is generated. Generators and transformers use electromagnetic induction to generate electricity and change the voltage of current. When the magnet is moved towards the coil, a current is induced in the coil due to the phenomenon of electromagnetic induction. The relative motion between the magnet and coil induces an electromotive force (EMF), which induces a current in the coil.

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which of the following best describes why we have seasons on earth? view available hint(s)for part a which of the following best describes why we have seasons on earth? the tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter. the tilt of earth's axis causes different portions of the earth to receive more or less direct sunlight at different times of year. earth's elliptical orbit means we are closer to the sun and therefore receive more intense sunlight at some times of year than at others. the varying speed of earth in its orbit around the sun gives us summer when we are moving fastest and winter when we are moving slowest.

Answers

Thee tilt of earth's axis causes the northern hemisphere to be closer to the sun than the southern hemisphere in summer, and vice versa in winter.

In this case, option A is correct.

Describe the seasons: Each season is a distinct time of year that can be recognized by special climatic characteristics. Every year, the seasons of spring, summer, fall, and winter follow one another. Each experiences cyclical patterns of light, climate, and weather every year.

Why are the seasons so important?

Soil saturation, precipitation patterns, river flows, lake concentrations, and snow cover are all impacted by seasonal variations in temperature and precipitation. Plants deteriorate and leaves fall as the wet and cold seasons approach. These alterations in the flora have an impact on the type and availability of food for humans and other animals.

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a circular thin ring of radius rr has a negative charge uniformly distributed around its circumference. which of the following is the best qualitative description of the electric potential moving along the central axis of the ring from a distance of 3r3r away to the center of the ring?

Answers

The electric potential moving along the central axis of the ring from a distance of 3r away to the center of the ring is decreasing. Thus, Option b is correct.

What is radius?

Radius is a term used in geometry to describe the length of a line extending from the center of a circle to the edge of the circle. This line is also referred to as the radius of the circle. The radius is half the distance of the diameter, which is the line that goes from one side of the circle to the other. The radius is also used in other shapes such as ellipses, rectangles, and polygons.

This is because the electric field lines radiate outward from the circumference of the ring, and as a result, the electric potential is lower near the circumference and higher further away from the circumference. As one moves closer to the center of the ring, the electric potential decreases.

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Full question:

A circular thin ring of radius r has a negative charge uniformly distributed around its circumference. which of the following is the best qualitative description of the electric potential moving along the central axis of the ring from a distance of 3r away to the center of the ring?

a. Increasing

b. Decreasing

c. Accelerating

d. Retαrding

When is a field study more appropriate that a laboratory experiment? Give a specific example.

Answers

A field study is more appropriate that a laboratory experiment when we need to know the real mining of unknown variables in a given outcome such as for example dark matter in space.

What are unknown variables in science?

Unknown variables in science can be defined as variables that have yet to be identified or studied, either due to a lack of data or unknown factors.

Therefore, with this data, we can see that unknown variables in science such as the amount of  Dark matter in the Universe are able to be shown by field (observational) studies.

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IS there an afterlife

Answers

Answer: Depends

Explanation:

It completely depends on your religion and beliefs. This is not a question you can truly answer since it's opiniative.

which of the following describes the proper way to fire a shotgun? a, raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target b, raise the shotgun to the cheek and back to the shoulder, on the side of the non-dominant eye and aim at the target raise the shotgun to the cheek and back to the shoulder, on the side of the non-dominant eye and aim at the target c, set the stock underneath the arm, on the side of the dominant eye and aim at the target set the stock underneath the arm, on the side of the dominant eye and aim at the target d, position the stock underneath the arm, on the side of the non-dominant eye and point at the target position the stock underneath the arm, on the side of the non-dominant eye and point at the target

Answers

The proper way to fire a shotgun is raise the shotgun to the cheek and back to the shoulder, on the side of the dominant eye; and point at the target.

Shotguns are generally fired at a target and not aimed like rifles.  They discharge shells or loads that may include a propellant wadding followed by a slug, shot, or other type of specialized projectile.

It is possible to fire a conventional bullet from a shotgun, which typically fires a plastic "shell" filled with numerous projectiles called "shot." This is accomplished using a device known as a "sabot" .

This is a single bullet that is loaded into a shotgun shell and is protected by a plastic or foam cylinder. After being fired, the plastic or foam cylinders separate along pre-scored lines and fall away as the single bullet continues on its course.

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convert each of these given volumes to the missing units. remember to add a leading zero when necessary. do not include trailing zeros. l ml 0.01 100 62 1.02 912 0.55

Answers

To convert 1 liter (L) to milliliters (mL), you would multiply 1 by 1000, because there are 1000 mL in 1 L. Therefore, 1 L is equal to 1000 mL.

0.01ml=0.00001L,100mL=0.1L,62L=62000mL,1.02 L = 1020 mL,

912 mL=0.912 L,0.55 L = 550 mL.

How to convert these given volume to the mising units?

To convert 0.01 milliliters (mL) to liters (L), you would divide 0.01 by 1000, because there are 1000 mL in 1 L. Therefore, 0.01 mL is equal to 0.00001 L.

To convert 100 milliliters (mL) to liters (L), you would divide 100 by 1000, because there are 1000 mL in 1 L. Therefore, 100 mL is equal to 0.1 L.

To convert 62 liters (L) to milliliters (mL), you would multiply 62 by 1000, because there are 1000 mL in 1 L. Therefore, 62 L is equal to 62000 mL.

To convert 1.02 liters (L) to milliliters (mL), you would multiply 1.02 by 1000, because there are 1000 mL in 1 L. Therefore, 1.02 L is equal to 1020 mL.

To convert 912 milliliters (mL) to liters (L), you would divide 912 by 1000, because there are 1000 mL in 1 L. Therefore, 912 mL is equal to 0.912 L.

To convert 0.55 liters (L) to milliliters (mL), you would multiply 0.55 by 1000, because there are 1000 mL in 1 L. Therefore, 0.55 L is equal to 550 mL.

It's important to note that when converting between units of volume, the conversion factor is always the same, but the direction of the conversion can change depending on which unit is being converted to or from.

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use the idea that vertical motion is independent of horizontal to predict which ball lands first. make sure that you base your prediction on the explanation that vertical motion is independent of horizontal motion.

Answers

A projectile moves both vertically and horizontally independently of one another. Therefore, regardless of their horizontal velocities, two objects falling under the influence of gravity from the same height will hit the ground at the same time.

Explain that vertical motion is independent of horizontal motion?

The vertical force acts perpendicular to the horizontal motion and has no effect on it because perpendicular components of motion are independent of one another. The projectile as a result moves with a decreasing vertical acceleration and a constant horizontal speed. The principle that horizontal and vertical motions are independent, or that they have no bearing on one another, is the most crucial one in projectile motion. The amount of time needed for an object to move initially horizontally is equal to the amount of time needed for the object to reach its final height. As a result, a ball dropped from the same height and thrown horizontally will both arrive at the ground simultaneously.

Here,

A projectile moves independently in both the vertical and horizontal axes. Therefore, two objects falling under the influence of gravity from the same height will hit the ground at the same time regardless of their horizontal velocities.

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1. Why is it necessary to do a vector resolution problem using the force of Static Friction, in order to theoretically determine the Angle of Repose?
2. What does a very low Angle of Repose tell you about the kind of surface at play?
3. What does it tell you about the Coefficient of Static Friction?

Answers

Answer:

A stone is thrown up wards with an initial velocity of 25 m/s at an angle of 30 to the ground.

5. liquid of some density fills a cylinder of base area a and height h. a) using the symbols provided, state the mass of the cylinder. [ 2 ] b) using your answer from a), show a formula for the pressure exerted on the base of the cylinder. [ 2 ]

Answers

Pressure in a liquid with constant density is given by the equations: p 0 = g h p = p 0 + g h. Consequently, pressure on the fluid at a depth. pressure difference = 5886 pa  Area=5886*0.050 = 294 N

What does "pressure in a fluid" mean?

The power per unit area is measured by fluid pressure. Altitude, velocity, or pressures in a confined container can all result in fluid pressure. A liquid has no fixed shape, hence its pressure is uniform throughout.

14)

: Pressure= force area

Force is weight of liquid = mass * gr

Area = A

O pressure = pgh

Step: 3

calculated above pressure P =pg P = pg(h₂ - h₁)

1,000 × 9.81 × (0.8 -0.2)

= 5,886.00

Pressure difference = 5886 pa

What results in fluid pressure?

Similar to the air on the inside of a tire, all liquids exert pressure. Fluid particles constantly and randomly move in all directions. The particles continue to collide with one another and with anything else in their path as they proceed.the pressure difference corresponds to pressure boy puts on platform which is equal to boy's weight divided by area.

Weight = pressure * Area

=5886*0.050 = 294 N

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a pharmacist is compounding a hazardous preparation in the primary engineering control of a buffer room. if the pressure of the ante room is 0.06 inches water column, the pressure in the buffer room must be ______ inches water column.

Answers

a pharmacist is compounding a hazardous preparation in the primary engineering control of a buffer room. if the pressure of the ante room is 0.06 inches water column, the pressure in the buffer room must be USP 797  inches water column.

What are the anteroom and buffer room's ISO levels?

The gowning room and ante room must be Class 8 or better, and the buffer room must be ISO Class 7 or better (less than 352,000 particles-per-cubic-meter) (less than 3,520,000 particles-per-cubic meter).

The principal engineering control, which is situated in the buffer region, performs sterile compounding (also known as the clean room). The equipment used for non-sterile compounding is a containment ventilated device. Sterile compounding can be done for immediate use outside of an ISO 5 facility in an emergency.

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according to erikson, preschoolers' exuberant play and bold efforts to master new tasks break down when they .

Answers

Erikson believed that the adverse effect of early childhood was an excessively rigid superego that led to children feeling excessive guilt as a result of adults' excessive threats, criticisms, and punishments.

What is rigid?

A body that does not deform or change shape is idealized as a rigid body. Formally, it is described as a group of particles with the property that their distance from one another does not change as the body moves. A solid body that neglects deformation is referred to as a rigid body. In other words, regardless of the forces acting on a rigid body, the distance between any two points remains constant over time. A metal rod serves as an illustration of a rigid body.

Here,

Erikson thought that an excessively rigid superego, brought on by adults' excessive threats, criticisms, and punishments, was the negative effect of early childhood, which caused children to experience excessive guilt.

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When you park on a hill, the direction your ____ are pointed determines which direction your car will roll if the brakes fai

Answers

When you park on a hill, the direction your front wheel are pointed determines which direction your car will roll if the brakes fail

Option D is correct.

Adjust your front tires so that, in the event of a brake failure, all front wheels are always pushed away from or lightly contact the curb if there is no curb.

When you park on a hill, which direction is influenced by where you look?

When going uphill and coming close to a curb, turn the front tires against the curb. and make use of the curb as a barrier by letting your car slowly drift backward until the left rear wheel is resting there.

On a hill, how do you park gradually?

Turn the wheels to the curb.

Turn your vehicle away from the curb when parking uphill. Turn them so that they are facing the curb if you are parking downhill. Step on the brake while the vehicle is in neutral, then fully rotate the steering wheel in the desired direction.

Question incomplete:

When you park on a hill, the direction your ____ are pointed determines which direction your car will roll if the brakes fail.

A. Side mirror

B. doors

C.rear wheels

D.front wheels

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Daytime temperatures on Mercury are extremely hot because:
Choose all that apply
it is close to the sun
it has long days
it has volcanoes
one side faces the sun
it gives off internal heat

Answers

Mercury's Temperature is used to describe these given parameters.

What time is it in the day?

The time period known as "day" spans from the variable time of dawn to the time of darkness (roughly 6 o'clock). It is nighttime from sunset until sunrise. At midnight, each day officially begins. Just after midnight, AM (ante-meridiem, Latin for "before noon") starts.

How long are days?

While the exact number of daylight hours on any given year varies from location to location, there is an average of 12 hours of sunshine per day everywhere on Earth. The length of daylight each day is only about 12 hours near the equator of the planet.

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Consider Earth to be stationary, and the moon as orbiting Earth in a circle of radius R. If the masses of Earth and the Moon are ME and Mm, respectively, which of the following best represents the total mechanical energy of the Earth-Moon system?

Answers

Total mechanical energy of the Earth-Moon system=[tex]-\frac{GM_{e} M_{m}}{2R}[/tex]

Keeping in mind Kepler's first law, the planets orbit the Sun in elliptical fashion. This implies that as a planet orbits the Sun, the separation between the centres of masses, r, will change. As r varies, this causes a change in the planet's gravitational potential energy.The system's overall mechanical energy is crucially stable throughout its orbit. A planet's gravitational potential energy will drop as it orbits in a position close to the Sun, but its velocity and kinetic energy will grow. The system's overall mechanical energy is always constant because the increase in kinetic energy balances off the system's loss in gravitational potential energy.

Total potential energy of earth and moon=[tex]-\frac{GM_{e} M_{m}}{R}[/tex]

Velocity of moon=[tex]\sqrt\frac{GM_{e} }{R}[/tex]

Kinetic energy of moon=[tex]\frac{1}{2} M_{m} v^{2}[/tex]=[tex]\frac{1}{2} \frac{GM_{e} M_{m}}{R}[/tex]

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 A race car's velocity decreases from 26 m/s to 5 m/s over a 9 second time interval. What
is the car's average acceleration?

Answers

2.3m/s^2 is the car's average acceleration.

Describe acceleration.

Acceleration is the term used to describe how quickly velocity and speed change over time. It is referred to as accelerating when something changes its rate of motion. Because the direction is constantly shifting, motion on a circle accelerates even at constant speed.

According to Newton's Second Law, an object's acceleration is determined by the total force acting on it. Meters per second squared (m s2) is the unit of acceleration in the SI system. The distance an object travels in a specific amount of time is referred to as its speed.

v = u + at

v = 5m/s

u = 26m/s

t  = 9sec

5 = 26  a*9

a = -21/9

a = -2.3m/s^2

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Why does the moon appear to be bright from Earth yet appears dark from space?

Answers

Answer:

The Moon appears to be bright from Earth because it reflects sunlight and the sunlight is reflected back to Earth, making it visible to us. However, when viewed from space, the Moon appears dark because it does not emit its own light and the sunlight is not reflected back towards the observer in space.

tai ran from his home to a position 300 m south of his home in 100 seconds what was his velocity

Answers

Velocity = distance / time  = 300m / 100s

            = 3 m/s

What is Velocity?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).

A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.

Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).

Therefore, Velocity = distance / time  = 300m / 100s

            = 3 m/s

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you are making a telephone out of two aluminum cans and some string. you can choose between two types of string: a 2-m length of thin cooking twine or a 2-m length of heavy rope, both used at the same tension. which type of string should you use so that you have the fastest wave speed in your telephone? (figure 1)

Answers

You should use the thin cooking twine to have the fastest wave speed in  telephone.

What is wave speed?

The wave speed in string is determined by tension in the string and the mass per unit length (linear density) of the string.

The speed of a wave in a string is given by ; v = sqrt(T/μ)

T -- tension and μ-- linear density.

When comparing the two types of string, thin cooking twine has smaller mass per unit length (linear density) than the heavy rope, so it would have  faster wave speed.

The thinner the string, the less the density of the string and the faster the wave speed will be. Therefore, you should use the thin cooking twine to have the fastest wave speed in your telephone.

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If a spring-operated gun can shoot a pellet to a maximum height of 100 m on Earth, how high could the pellet rise if fired on the Moon, where g = 1.6 m/s2? A 160m
B 100m
C 610m
D 17m

Answers

Answer:

10

if we calculate using the quantity of the moon you see that he was in Paris

Four identical charged particles (Q = +20 micro coulomb) are located on the corners of a rectangle as shown in the figure. The dimensions of the rectangle are L= 50 cm and W = 20cm. Calculate the magnitude and direction of the total electric force exerted on the charge at the lower left corner by the other 3 charges.

Answers

The charge deposited in the lower left quadrant will experience an electric force of 98.32 psi. Additionally, the direction is 74.49.

What is a magnitude example?

The size of an object is its magnitude. For example, a car moves faster than like a bike in regards to speed. In this instance, the speed differential between both the car and also the bike is higher. It exposes the size or motion of an object in terms of absolute or relative dimensions.

What are magnitude and a vector?

A quantity with both a path and a quantity is called a vector. An abundance or a numerical amount of something is referred to as a magnitude. Another vector is displacement amount, which is the separation between a beginning point and an ending location.

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A bullet of mass mb is fired horizontally with speed vi at a wooden block of mass mw resting on a frictionless table. The bullet hits the block and becomes completely embedded within it. After the bullet has come to rest. Part A Which of the following best describes this collision? perfectly elastic partially inelastic perfectly inelastic Part B Which of the following quantities, if any, are conserved during this collision? kinetic energy only momentum only kinetic energy and momentum neither momentum nor kinetic energy. Part C:
What is the speed of the block/bullet system after the collision?
Express your answer in terms of vi , mw , and mb . vf = ?

Answers

Both kinetic energy and momentum is conserved in this hit since it is perfectly elastic. Vf = mV + M0 = (m + M)v is the speed of the block/bullet system after the contact.

In physics, an elastic collision is a collision between two bodies in which the total kinetic energy remains constant. In an ideal, elastic collision, there is no net conversion of kinetic energy into heat, noise, or potential energy. In physics, kinetic energy (KE) is the energy that an object has as a result of its motion. Both kinetic energy and momentum are conserved in this hit since it is completely inelastic. Vf = mV + M0 = (m + M)v is the speed of the block/bullet system after the contact. It is defined as the effort necessary to move a mass-based body from rest to the given velocity. in kinematics and everyday usage.

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the specialty of an athlete on the women's track team is the pole vault. she has a mass of 60 kg and her approach speed is 8.7 m/s. when she is directly above the bar, her speed is 1.4 m/s. neglecting air resistance and any energy absorbed by the pole, determine the amount(in m) she has raised herself as she crosses the bar.

Answers

The height(in m) she has raised herself as she crosses the bar with initial speed of 8.7m/s is found to be 3.76m

What does energy conservation mean?

A fundamental law of physics and chemistry asserts that despite internal changes, the overall energy of an isolated system remains unchanged. It is the fundamental premise of the first law of thermodynamics, which is most frequently stated as "energy cannot be created or destroyed."

Mass of the women => 60Kg

V1 => 8.7 m/s

v2=> 1.4m/s

Conservation of energy:

Kinetic energy 1 = Kinetic energy 2 + Potential energy

1/2 m v1^2 = 1/2 m V2^2 + mgh

V1^2 -v2^2/2 xg => h => height she raised

h=> 3.76m

What are the three laws of energy conservation?

There are three essential quantities in mechanics which are conserved. They are power, forward motion, and angular momentum.

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Suppose we wanted to make a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter).
How far from the Milky Way Galaxy would the Andromeda Galaxy be on this scale?
Choose matching definition
O 1.4 km
O 25 cm
O as it was about 2 ½ million years ago
O in September

Answers

The Milky Way and Andromeda galaxies are roughly 2.5 million light-years apart. If we scale that down to the size of a marble, then the distance between the two galaxies would be 25 cm.

At what scale would the Local Group of Galaxies be represented in this model?In this scale model, the Milky Way Galaxy would be represented by a marble that is 1 cm in diameter. This means that the Local Group of Galaxies would be represented at a scale of 1/100,000th. This means that the Local Group of Galaxies would be represented at a scale of 0.00001, which is equivalent to 1 cm representing a distance of 100,000 cm or 1 km. Thus, if the Milky Way Galaxy was represented by a 1 cm marble, the Local Group of Galaxies would be represented by a 1 km sphere. This scale model would illustrate the immense size of the Local Group of Galaxies in relation to our own Milky Way Galaxy, which is only a small fraction of the Local Group's total size.

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Trent builds a model electric motor. When he connects a battery to the motor, the motor spins through a half rotation and stops. Which is the most likely solution to the problem?

Answers

It is due to problem in commutator or split rings that reverse the current in the coil by which the  energy armature completes its rotation.

What do you mean rotation?

Rotation describes the circular motion of an object around its center. There are different ways things can rotate. energy, in physics, the capacity for doing work. Rotation of the Earthre. A very familiar kind of rotation is when a spherical, three-dimensional object turns around an invisible line inside its center.

What type of movement is rotation?

Rotational movement involves moving the bone around its longitudinal axis; energy in the process of transfer from one body to another.  this can be movement toward the midline of the body (medial rotation) or away from the midline of the body lateral rotation.

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Question:
A 3-kg plastic tank that has a volume of 0.2
m
3
is filled with liquid water. Assuming the density of water is 1000
k
g
/
m
3
, determine the weight of the combined system
Density:
The density of a material provides the quantity for its mass per unit volume. Knowing the density of a material, we can obtain the total mass it has by multiplying the volume, V, by the density, rho
, or m
=
V
×
rho
.

Answers

The weight of the combined system is 203 kg.

What is mean by density?

The density is the ratio of mass to volume. It is typically expressed as kilograms per cubic meter (kg/m3) and is used to quantify the physical properties of different materials.

Density is an important property as it affects the material’s ability to resist changes in pressure, temperature, and other physical forces.

It is also used to determine the composition of certain substances, such as the amount of salt in a solution.

Density is an intrinsic property of a material and is not affected by the size or shape of the sample being measured.

Density can be determined by measuring the mass of an object and dividing it by its volume. The density of a substance can be compared to that of other substances to determine relative densities.

Density is used in many areas of science such as physics, chemistry, engineering, and geology.

Density is also important to the study of materials, as it can be used to identify and characterize them. Density is an important parameter when considering the structural and mechanical properties of materials.

Step 1: Calculate the mass of water in the tank.

Mass of water = Volume of water x Density of water

Mass of water = 0.2m^3 x 1000 kg/m^3

Mass of water = 200 kg

Step 2: Calculate the weight of the combined system.

Weight of the combined system = Mass of tank + Mass of water

Weight of the combined system = 3 kg + 200 kg

Weight of the combined system = 203 kg

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Explain which of the four fundamental forces is responsible for a ball bouncing off the ground after it hits, and why this force has this effect.

Answers

The force responsible for the bouncing of the ball is the gravitational force.

According to Newton's law of universal gravitation, the gravitational force between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Gravity is the force with which objects are attracted to the earth. Example - Leaves and fruit fall from a tree to the ground due to gravity. Gravitational energy is the energy stored in an object due to its height above the Earth (for example, when the object is far from the ground or near it). It is a form of potential energy. An object's height above the ground gives it its gravitational energy. This force is responsible for the bouncing of the ball when it hits the ground.

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A 60.-kilogram man is pushing a 30.-kilogram lawn mower. Compared to the magnitude of the force exerted on the lawn mower by the man, the magnitude of the force exerted on the man by the lawn mower is
answer choices
O one-quarter as great
O one-half as great
O the same
O twice as great
O the same

Answers

The magnitude of the force exerted on the man by the lawn mower is equal in magnitude to the force exerted by the man on the lawn mower, thus the answer is the third option i.e. the same.

Following are the three Newton's Law of Motion:

First Law - Newton’s first law of motion states that if a body or a object is at rest or moving at any constant speed in a straight line, it will remain at rest or keep moving in that straight line at that constant speed unless it is acted upon by a force. This law is known as Law of Inertia.

Second Law - Newton’s second law of motion is a quantitative description of the changes that any force can produce/insert on the motion of a body. It states that the timely rate of change of the linear momentum of a body is equal in both the magnitude and the direction to the force imposed on it.

Third Law - Newton’s third law of motion states that when two bodies interact, they both apply forces to one another that are equal in magnitude and opposite in direction. This third law of motion is also known as the law of action and reaction.

Using principles of third law of motion, we can make that the man pushing the lawn mower applies the same amount of force (in magnitude) as the lawn mower applies on him, thus the answer to the question is the third option i.e. the same.

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1. the weights (in ounces) of 27 tomatoes are listed below. construct a modified boxplot for the data. identify any outliers. 1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6 2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9 2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2

Answers

Minimum, First Quarter, Median, Third Quarter, Maximum 1.700 2.500 2.700 2.752 2.950 4.200,the length (x) [1] 27 boxplot(x,main="Data boxplot")

How is identify any outliers?

We may create the boxplot by doing the following:

Data provided

These procedures can be used to create the necessary boxplot.

Order the data set first.

1.7 2.0 2.2 2.2 2.4 2.5 2.5 2.5 2.6

2.6 2.6 2.7 2.7 2.7 2.8 2.8 2.8 2.9

2.9 2.9 3.0 3.0 3.1 3.1 3.3 3.6 4.2

2) Determine the median.

Since there are 27 variables, position 14 would be the median in this situation.

Average = 2.7

3) Determine Q1.

Below 2.7 are the following data values: 1.7 2.0 2.2 2.4 2.5 2.5 2.5 2.6 2.6. Their median falls in the centre: Q1 = 2.5

4) Determine Q3.

The following data values are found above 2.7: 2.8 2.8 2.8 2.9 2.9 3.0 3.0 3.1 3.3 3.6 4.2.

Their median is in the centre: Q3 = 2.95

5) Determine the maximum and minimum.

Min = 1.7, Max = 4.2

6) Determine IQR

IQR= Q3-Q1= 2.95-2.5=0.45

7) The boxplot's minimum and maximum values

IQR = 2.5-1.5*0.45=1.825; MWB = Q1-1.5

IQR = 2.5 + 1.5 * 0.45 = 3.17 UWB = Q3 + 1.5

8) Recognize outliers

Potential outlier values include those that exceed UWB and fall below MWB.

And using the R code below, we can create the boxplot:

> x<-c(1.7, 2.0, 2.2, 2.2, 2.4, 2.5, 2.5, 2.5, 2.6,

+ 2.6, 2.6, 2.7, 2.7, 2.7, 2.8, 2.8, 2.8, 2.9,

+ 2.9, 2.9, 3.0, 3.0, 3.1, 3.1, 3.3, 3.6, 4.2)

To recap: (x)

Minimum, First Quarter, Median, Third Quarter, Maximum

1.700 2.500 2.700 2.752 2.950 4.200

the length (x)

[1] 27

boxplot(x,main="Data boxplot")

And as you can see, the image below is also connected.

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Define simple machine, and identify 6 types

Answers

A simple machine is a device that uses a single applied force to do work against a single load force. Simple machines do not involve the use of electricity or combustion, and are typically used to amplify or change the direction of applied forces.

The six types of simple machines are:

Lever: A bar that pivots around a fixed point, or fulcrum, to amplify or change the direction of applied forces.

Pulley: A grooved wheel with a rope or cable passing over it, used to change the direction of an applied force.

Inclined Plane: A flat surface that is angled, used to reduce the amount of force needed to lift an object.

Wedge: A triangular shape with one sloping side, used to split or lift objects by applying force at the sloping angle.

Screw: A spiral groove that helps convert rotational motion into linear motion.

Wheel and Axle: A cylinder that rotates around a central point (the axle), used to reduce the amount of force needed to move an object.

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