A container of weight W = 200 lb is supported by a continuous cable BAC and a small pulley at A, as shown in the figure below. The cable is attached between two walls that are L = 40 ft apart, and the right support at C is h=8 ft below the left support at B. Cable BAC has a total length LBAC = 50 ft and sags prior to adding the pulley and container. From equilibrium considerations, we can prove that cable segments BA and AC are inclined at the same angle from the horizontal. Neglect the size and weight of the pulley for this analysis. Determine the following quantities:
The inclination angle for both cable segments.
The tension force T in cable BAC. ​

Answers

Answer 1

Answer:

To determine the inclination angle for both cable segments, we can use the law of sines. Let's call the inclination angle "theta."

L/sin(theta) = h/sin(90-theta)

40/sin(theta) = 8/cos(theta)

Cross multiplying and simplifying, we get:

sin(theta) = 8/40 = 1/5

So,

theta = sin^-1(1/5) = 11.31 degrees

Next, we can use the law of cosines to find the tension force T in cable BAC.

T^2 = W^2 + (LBAC)^2 - 2WLBACcos(theta)

T^2 = 200^2 + 50^2 - 2(200)(50)cos(11.31)

T = sqrt(200^2 + 50^2 - 2(200)(50)cos(11.31)) = sqrt(20000 + 2500 - 2000cos(11.31))

T = sqrt(22500 - 2000cos(11.31))

Rounding to the nearest whole number, we get:

T = 150 lb

So, the inclination angle for both cable segments is 11.31 degrees, and the tension force T in cable BAC is 150 lb.

Explanation:


Related Questions

Calculate the total work done on a mass m as it moves from position x1 = 0 m to x2 = 40 m
F1 = 5 N F2 = 6 N angle between them 50 degree
F3 = 2 N F4 = 2 N Angle Between them 20 Degree

Answers

The total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.

What is Work Done?

Work is a physical quantity that describes the amount of energy transferred when a force acts on an object and causes it to move. When a force acts on an object and causes it to move in the direction of the force, work is said to be done on the object. Mathematically, work is defined as the dot product of force and displacement:

Work = Force x Displacement x cos(theta)

To calculate the total work done on the mass as it moves from position x1 to x2, we need to find the net work done by all the forces on the mass. The net work done by a force is given by the formula:

W = F * d * cos(theta)

where W is the work done, F is the force, d is the displacement of the mass, and theta is the angle between the force and the displacement.

First, we can calculate the work done by each force separately and then add them up to find the total work done.

Work done by F1:

W1 = F1 * (x2 - x1) * cos(0) = 5 N * 40 m * cos(0) = 200 J

Work done by F2:

W2 = F2 * (x2 - x1) * cos(50°) = 6 N * 40 m * cos(50°) ≈ 165.41 J

Work done by F3:

W3 = F3 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J

Work done by F4:

W4 = F4 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J

The total work done on the mass is the sum of the work done by each force:

W_total = W1 + W2 + W3 + W4 ≈ 515.17 J

Therefore, the total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.

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Jackie studied stresses that affect earth's crust. How is compression of rock different from shearing?.

Answers

"Compression of rock is nothing but squeezing the rock together and shearing is pushing the rock in opposing directions."

It squeezes the boulder as a whole and should cause the pulls to shear. This is because compression causes the weight necessary for rocks to be squeezed. Additionally, the rock's draws shouldn't be spaced apart. It shouldn't be going in opposing ways either.

When rocks are compressed together, they fold, fracture, or even shatter. Compression stress is the most prevalent stress at convergent plate boundaries. There is stress when rocks are being torn apart. Under stress, rocks either lengthen or fragment.

Due to the compression pushing the hanging wall up in relation to the footwall, if the fault arises in a scenario of compression, it will be a reverse fault.

Compressional stresses cause a rock to shorten. A rock elongates or pulls apart as a result of tensional pressures. Shear forces cause rocks to slide past one another.

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N₂O4(9) 2NO₂(g)
Colorless Brown
Keq = 6.16 x 10.3
What is the predicted direction of change?
Setup 1:
Setup 2:
Setup 3:
DONE ✔
Setup #
1
2
3
[N₂04]
0.098 M
0.150 M
0.420 M
[NO₂]
0.0064 M
0.0304 M
0.230 M

Answers

Here, when , the reaction quotient is less than the equilibrium constant, then, the reaction will move to the right. In the first set up, the reaction quotient is less than Keq. Then, the reaction moves to right.

What is reaction quotient ?

The reaction quotient of a reaction is the ratio of molar concentration of the product to the molar concentration of the reactants.

In the first setup.

Keq = 6.16 x 10⁻³

Q = [0.0064]²/[0.098] = 4.18 × 10⁻⁴

Q<K⇒The reaction moved to the right (products)

Setup 2 :

Q = [0.0304]²/[0.150]

   = 6.16 x 10⁻³

Q=K⇒the system at equilibrium

Setup 3 :

Q =  [0.230]²/[0.420]

   = 0.126

Q>K⇒The reaction moved to the left (reactants)

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Answer: products, equilibrium, reactants

Explanation:

its right on edge 2023

One pipe can fill a tank in 3 hours, and another pipe can fill the tank in 6 hours. How long will it take to fill the tank if both pipes are used at the same time?

Answers

It will take both pipes working together 2 hours to fill the tank. As in general, when two pipes or machines are working together to complete a task, their combined rate is the sum of their individual rates.

Let's assume that the tank has a volume of 1 unit (you can use any unit you prefer).

The first pipe can fill the tank in 3 hours, which means it can fill 1/3 of the tank in one hour. Similarly, the second pipe can fill the tank in 6 hours, which means it can fill 1/6 of the tank in one hour.

If both pipes are used at the same time, the rate at which they fill the tank is the sum of their individual rates. So, the combined rate at which they fill the tank is:

1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2

This means that both pipes together can fill half of the tank in one hour. To fill the entire tank, we need to multiply this rate by the time it takes to fill the tank, which we'll call "t":

1/2 * t = 1

Solving for "t", we get:

t = 2 hours

Therefore, it will take both pipes working together 2 hours to fill the tank.

This same concept can be applied to many different types of problems involving pipes, machines, or workers working together to complete a task. The key is to find the individual rates of each pipe or machine and add them together to get the combined rate. Then, you can use the combined rate to find the time it takes to complete the task.

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A blue marble of mass 0.350 kg traveling at 2.60 m/s to the left collides with a red marble of mass 0.350 kg that is initially at rest. After the collision, the blue marble is at rest. What is the new velocity of the red marble that is now moving in the same direction?
A.2.60 m/s to the left
B.0.350 m/s to the right
C.5.20 m/s to the left
D.0.91 m/s to the left​

Answers

Answer:

[tex]2.60\; {\rm m\cdot s^{-1}}[/tex] to the left.

Explanation:

When an object of mass [tex]m[/tex] travels at a velocity of [tex]v[/tex], the momentum of that object would be [tex]p = m\, v[/tex]. Note that since velocity is a vector quantity (has a direction) while mass is a scalar, the direction of momentum would be the same as that of velocity.

Before the collision:

Momentum of the blue marble: [tex](0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}})[/tex] to the left.Momentum of the red marble would be [tex]0\; {\rm kg\cdot m\cdot s^{-1}}[/tex] since velocity was [tex]0\; {\rm m\cdot s^{-1}}[/tex].

Immediately after the collision:

Momentum of the blue marble would be [tex]0\; {\rm kg\cdot m\cdot s^{-1}}[/tex].The momentum of the red marble needs to be found.

Momentum is conserved immediately before and after the collision. In other words, the total momentum immediately after the collision would be the same as that immediately before the collision.

In this example, total momentum was [tex](0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}})[/tex] to the left immediately before the collision. Hence, the total momentum immediately after the collision would also be [tex](0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}})\![/tex] to the left.

Subtract the momentum of the blue marble ([tex]0\; {\rm kg\cdot m\cdot s^{-1}}[/tex]) from the total momentum to find the momentum of the red marble:

[tex]\begin{aligned}& (0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}}) - 0\; {\rm kg\cdot m\cdot s^{-1}} \\ =\; & (0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}}) && (\text{to the left}) \end{aligned}[/tex].

Divide momentum by mass to find velocity:

[tex]\begin{aligned} v &= \frac{p}{m} \\ &= \frac{(0.350\; {\rm kg})\, (2.60\; {\rm m\cdot s^{-1}}) }{0.350\; {\rm kg}}&& \genfrac{}{}{0em}{}{(\text{to the left})}{} \\ &= 2.60\; {\rm m\cdot s^{-1}} && (\text{to the left})\end{aligned}[/tex].

Therefore, the velocity of the red marble would be [tex]2.60\; {\rm m\cdot s^{-1}}[/tex] to the left immediately after the collision.

sun why it that the higher you go to the becomes cold.

Answers

The temperature drops as you go higher into the atmosphere because you are moving away from the Earth's surface, where the majority of the planet's heat is generated.

What happens when we go higher?

As you move higher, the air pressure and density decrease, and there is less of the Earth's atmosphere to absorb and retain heat. This results in a lower overall temperature.

Additionally, the sun's rays become more intense at higher altitudes due to the lack of air molecules to scatter the sunlight. This can cause a heating effect, but it's usually not enough to offset the cooling effect caused by the decrease in atmospheric pressure.

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Which of the following best describes a direct current?(1 point)
Responses

an electrical current that flows in one direction

a stationary electrical charge

an electrical current that flows in alternating directions back and forth

the flow of electric charges through a conductor

Answers

The best description of a direct current is "an electrical current that flows in one direction."

define electric current ?

Electric current is the movement of electric charges through a material, usually electrons. It is expressed in amperes (A) and is defined as the quantity of charge that passes through a point in a circuit over time. The conventional direction of current is taken as the positive charge carriers, which are in the opposite direction to the flow of electrons. Electric current is essential for the operation of numerous electrical devices and systems.

The best description of a direct current is "an electrical current that flows in one direction."

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Croquet balls must have a mass of .50 kg. A red croquet ball moving at 10 m/s strikes an at rest green croquet ball head-on. If the red ball stops after hitting the green ball, what will be the final speed of the green ball

Answers

The final velocity of the green ball is 5.0 m/s.

What will be the final speed of the green ball?

The final speed of the green ball can be determined using the law of conservation of momentum.

The momentum of the system (red and green ball) before the collision is equal to the momentum of the system after the collision, assuming there are no external forces acting on the system.

Before the collision, the momentum of the red ball is given by:

p1 = m1v1 = 0.50 kg   x 10 m/s = 5.0 kg m/s

After the collision, the momentum of the green ball is given by:

p2 = m2  x v2

Using the law of conservation of momentum, we have:

p1 + p2 = (m1 + m2) v1

5.0 kg m/s + p2 = (0.50 kg + 0.50 kg) x 10 m/s

5.0 kg m/s + p2 = 1.0 kg * 10 m/s

5.0 kg m/s + p2 = 10.0 kg m/s

p2 = 10.0 kg m/s - 5.0 kg m/s = 5.0 kg m/s

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If an object is dropped how long will it take to attain a velocity of 127.4 m/s

Answers

The time it takes for an object to attain a velocity of 127.4 m/s is 13 seconds.

What is the  time of motion of the object?

The time it takes for an object to attain a velocity of 127.4 m/s after being dropped depends on several factors, including the object's mass, the strength of air resistance, and the acceleration due to gravity.

In the absence of air resistance, an object dropped from rest would attain a velocity of 127.4 m/s at a time, t calculated as;

v = u + gt

v = 0 + gt

v = gt

t = v/g

where;

g is acceleration due to gravity

t = ( 127.4 ) / (9.8)

t = 13 seconds

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Class work 6 1. A 1 kg wooden block is stationary on a desk tip. The coefficient of static friction for the two surfaces is 0.2. a) b) Find the normal force experienced by the block. Determine the maximum static frictional force for this situation c) What force will get the block to move? d) Calculate the kinetic frictional for if the coefficient of kinetic friction is 0.19​

Answers

(a) The normal force experienced by the block is 9.8 N.

(b) The maximum static frictional force is 1.96 N.

(c) The minimum force required to move the block is 1.96 N.

(d) The kinetic friction force is 1.862 N.

What is the normal force?

The normal force experienced by the block is equal to the weight of the block and is given by:

F_normal = mg

where;

m is the mass of the block (1 kg) and g is the acceleration due to gravity (9.8 m/s^2).

F_normal = 1 kg x 9.8 m/s^2 = 9.8 N

The maximum static frictional force is given by:

F_friction_max = μ_s x F_normal

where;

μ_s is the coefficient of static friction (0.2).

F_friction_max = 0.2  x 9.8 N = 1.96 N

To get the block to move, a horizohntal force greater than the maximum static frictional force must be applied. The minimum force required to move the block is given by:

F_min = F_friction_max + ε

where;

ε is a small positive value to account for any slight inaccuracies.

The kinetic friction force is given by:

F_friction_kinetic = μ_k x F_normal

where;

μ_k is the coefficient of kinetic friction (0.19).

F_friction_kinetic = 0.19 x 9.8 N = 1.862 N

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pls helpp
Heidi sees a bowl of apples sitting on a table. She knows that if no force acts on that bowl, it will stay right where it is. Which part of Newton's laws of
motion explains why the bowl will stay at rest?
A Objects at rest tend to stay at rest.
OB. Objects in motion tend to stay in motion.
OC. Every action has an equal and opposite reaction.
OD. Larger objects require greater amounts of force to move.

Answers

Objects at rest tend to stay at rest as per the Newton's laws of motion. The correct option is A.

What is Newton's laws of motion?

The basic three fundamental laws of classical mechanics referred to as Newton's laws of motion describe the ways in which an object's motion and the forces acting on it interact.

The first statement of Newton's laws of motion, which states that "Objects at rest tend to stay at rest, and objects in motion tend to stay in motion, with not only the same speed but also in the same direction.

It takes place unless acted upon by an external force," will lead the bowl of apples to remain at rest.

This rule, often known as the law of inertia, holds that unless an outside force acts upon an object, it will continue to move uniformly in a straight line or be at rest. Since no force is operating on the bowl of apples, it will continue to be at rest.

Thus, the right response is A.

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the combined effect of all forces acting on an object is the ___ force

Answers

Answer:

net force

Explanation:

28. Batman is sitting in the Batmobile at a stoplight.
As the light turns green, Robin passes Batman in his lime-green Pinto at a constant speed of 60 km/h. If Batman gives chase. accelerating at a constant rate of 10 km/h/s. determine
a) now long 1t takes batman to attain the
same speed as Robin.
b) how far Batman travels in this time.
c) how long it takes for Batman to catch up
to Robin.

Answers

If Batman gives chase and  accelerating at a constant rate of 10 km/h/s then:
a) 6 seconds
b) 360 meters
c) 12 seconds

What is Accelerating?

Accelerating is a process whereby an object, or a system of objects, increases its speed or rate of change. It is a fundamental concept in physics and is used to describe the motion of objects, such as an acceleration due to a force, or the rate of change in velocity. Accelerations can also be caused by a change in direction, or due to changes in gravity, such as when accelerating towards the surface of a planet.

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A ball tossed vertically upward from the ground next to a building passes the bottom of a window 1.7 s after being tossed and passes the top of the window 0.30 s
later. The window is 2.0 m high from top to bottom. What was the ball's initial velocity? How far is the bottom of the window from the launch position? How high does the ball rise above the launch position?

Answers

The initial velocity of the ball is v₀ = (2*2.0)/0.30 = 13.3 m/s. and the height of the ball above the launch position is h = (13.3*1.7) - (0.5*9.81*(1.7)²) = 15.1 m.

What is initial velocity?

Initial velocity is the speed and direction of an object at the start of its motion. It is usually designated by vector notation, with the direction of motion indicated by an arrow.

The initial velocity of the ball can be calculated using the equation v₀ = (2h)/t, where h is the height of the window (2.0 m) and t is the time it took for the ball to reach the top of the window (0.30 s).
Thus, the initial velocity of the ball is v₀ = (2*2.0)/0.30 = 13.3 m/s.

The bottom of the window is 1.7 m above the launch position.
The height of the ball above the launch position can be calculated using the equation h = v₀t - 0.5gt².
Here, v₀ is the initial velocity (13.3 m/s),
t is the time it took for the ball to pass the bottom of the window (1.7 s),
and g is the acceleration due to gravity (9.81 m/s²).
Thus, the height of the ball above the launch position is h = (13.3*1.7) - (0.5*9.81*(1.7)²) = 15.1 m.

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2 Examples of adverse events (AE) include which of the following?
A. Damaged wheelchair.
OB. Anxiety.
C. Decreased blood sodium.
D. Enlarged thyroid on physical examination.
OE. B, C, and D only
OF. All the above are adverse events (AES).

Answers

All the above are adverse events (AEs)

W
Question 9
1 pts
The initial vertical velocity (Vyi) needed to raise your center of mass from an initial
height (yi) of 1.2 m to a peak height (yf) of 1.8 m is

Answers

The initial vertical velocity needed to raise the center of mass from 1.2 m to a peak height of 1.8 m is approximately 3.43 m/s.

What is the initial velocity?

The initial vertical velocity needed to reach a peak height can be calculated using the equation of motion for a projectile under constant gravity:

Vyi = √(2 * g * (yf - yi))

where:

g is the acceleration due to gravity (approximately 9.8 m/s^2)yi is the initial height (1.2 m)yf is the peak height (1.8 m)

Plugging in the values, we get:

Vyi = √(2 * 9.8 * (1.8 - 1.2))

Vyi = √(2 * 9.8 * 0.6)

Vyi = √(11.76)

Vyi = 3.43 m/s

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(2 of 5)
Now, decrease the planet size by sliding the Planet Properties 'radius' slider to the left until
it is one-tenth (0.100) the radius of Jupiter. For this configuration, the normalized flux
(relative amount of star light reaching an observer on Earth) when the planet is off to he
side (not transiting) is. while the normalized flux when the planet is transiting is
O 1.000, 0.990
O 0.990,1.000
O 1.00000, 0.99990
O 0.99990,1.00000

Answers

Its normalized flux for this configuration while the planet is off to the side is, and the normalized flux whenever the planet equals transiting is, respectively, 1.00000 and 0.99990.

What defines a planet?

It specifies three requirements for a planet: It must move about a sun. It must be large enough for gravity to pull it in a spherical direction. It must be massive sufficient that its gravity wiped away any other things of a similarly sized in its circle of the Sun.

What is a planet made of?

Earth is formed of rock, as are the three inner planets of the solar system (Mercury, Venus, and Mars), which also contain metals like aluminum and aluminum as well as typical minerals like feldspar.

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Answer:

1.00000,0.99990 (correct)

Explanation:

t: The toy car is given a push away from the origin and released. It continues to move with a constant velocity. Sketch the force g 0' after the car is released. A cart is moving toward the right and speeding up, as shown in the diagram below. Draw arrows above the cart representing the magnitudes and directions of the net (combined) forces you think are needed on the cart at t = 0 s, t = 1 s, etc., to maintain its motion with a steadily increasing velocity. Assume that the cart is already moving at t_1. Explain the reasons for your answers. If the positive direction is toward the right, what is the sign of the force at t = 2 s in Question

Answers

The car will move at a constant speed once it is unleashed, as is assumed. Hence, there is no acceleration. Newton's second law states that a straight line along zero will appear on the graph if F=ma=m(0)=0, F=0.

Acceleration is the rate at which an object changes its velocity. It is a vector quantity, which means it has both magnitude and direction. The standard unit of acceleration is meters per second squared (m/s²).

Acceleration can be caused by forces such as gravity, friction, and electromagnetism. When a force acts on an object, it causes a change in the object's motion, resulting in acceleration.

The relationship between acceleration, velocity, and time is described by the equation a = (v_f - v_i) / t, where a is acceleration, v_f is final velocity, v_i is initial velocity, and t is time.

The effects of acceleration can be seen in everyday experiences, such as feeling pushed back into your seat when a car accelerates or feeling weightless during freefall. Understanding acceleration is important in fields such as physics, engineering, and transportation.

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The large ball, small ball, and feather are dropped side-by-side. Use
these values for gravitational forces in the table above to explain why the
objects fall to Earth and not move towards each other.

Answers

They do not move towards each other because due to their small masses, the gravitational force of attraction between them is very, very weak. Probably because the mass got all of them are different making them fall slow or fast since the heavier it is the faster it falls.
Final answer:

The large ball, small ball, and feather fall to Earth and do not move towards each other due to the force of gravity, which is proportional to the mass of the objects involved and inversely proportional to the square of the distance between them. Earth's gravitational force is much stronger than the gravitational force between the objects, leading to their downward motion.

Explanation:

The reason the large ball, small ball, and feather fall to Earth and do not move towards each other is due to the force of gravity. Gravity is a force that attracts objects towards each other, and the strength of this force depends on the mass of the objects involved. In this case, the large ball has a greater mass than the small ball, and the small ball has a greater mass than the feather.

According to Newton's law of universal gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Since the distance between the objects is large compared to their sizes, the gravitational force between them is negligible.

Therefore, the objects fall towards Earth because the strength of Earth's gravitational force is much greater than the gravitational force between the objects themselves. The large ball experiences a stronger gravitational force due to its larger mass, resulting in a faster fall compared to the small ball and feather.

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Which of the following statements best describes the relationship between atoms and conductivity?(1 point)
Responses

Atoms with a nearly empty valence shell make good conductors.


Atoms with many electrons make good insulators.


Atoms with a full valence shell make good conductors.


Atoms with few electrons make good conductors.

Answers

The statement that describes the relationship between atoms and conductivity is as follows: Atoms with a full valence shell make good conductors (option C).

What is conductivity?

Conductivity is the ability of a material to conduct electricity, heat, fluid or sound.

Conductivity is determined by the types of atoms in a material (the number of protons in each atom's nucleus determines its chemical identity) and how the atoms are linked together with one another.

The atoms which have fewer electronic shells have, the lower the electrical conductivity it has and vice versa.

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Conductors and Insulators Quick Check

100% true

C. The electrons in copper (Cu) are loosely bound to the nucleus.

A. An electrical current that flows in one direction.

A. aluminum (Al)

B. Opposite charges attract one another.

C. Atoms with a nearly empty valence shell make good conductors.

C.

A.

A.

B.

C.


States of matter that can become part a
Solution are
Solids =
Liquids =
Gases =
Saltwater
Vapors
=

Answers

Conversion of liquid into vapor or gas. - (b) Vaporization

Conversion of liquid into solid. - (d) Freezing

Conversion of solid into a liquid on heating. - (a) Melting

What is liquid?

A liquid is a nearly incompressible fluid with a (almost) constant volume regardless of pressure that adapts to the shape of its container. Being the only form with a set volume but no fixed shape, it is one of the four fundamental states of matter (the others being solid, gas, and plasma). A liquid can flow and assume a container-like shape, much like a gas can. A liquid keeps a relatively constant density and does not disperse to cover every space in a container like a gas does. a distinguishing quality of it.

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A camera flash is a capacitor that stores a charge of 0.06 C at 474 V. The energy stored is _____ Joule.

Answers

The energy stored in the camera flash is 28.44J.

How to calculate energy?

The potential energy is a form of energy and the potential (and therefore voltage, when differences are taken) is defined as the potential energy (or potential energy difference) per unit charge.

The equation that relates the potential difference to energy is as follows:

V = E/Q

Where;

V = voltageE = energyQ = charge

E = 474V × 0.06C

E = 28.44J

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Using the internet to help answer this question...Does a Komodo Dragon reproduce sexually or asexually

Answers

Komodo's dragons reproduce through both sexual reproduction and a form of asexual reproduction called parthenogenesis.

What is parthenogenesis?

A zygote lacking gametes forms during parthenogenesis. Invertebrates and lower plants frequently exhibit it.

As it turns out, the Komodo dragon is capable of both sexual and asexual reproduction, depending on the circumstances. The majority of zoos keep female dragons alone and apart from the males.

Therefore, both sexual reproduction and parthenogenesis, a type of asexual reproduction, are used by Komodo dragons to breed.

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how many times more light can a telescope with a diameter of 17 inches gather compared to one that has a diameter of 3 inches?

Answers

Answer:

The telescope with a 17-inch diameter can gather more than 60 times more light than the one with a 3-inch diameter.

Explanation:

23. A hydraulic (water power) press consists of 1 cm and 5 cm diameter pistons. (a) What force must be applied on the small piston so that the large piston will be able to raise 10 N load? (b) To what height would the load be raised when the small piston has moved 0.1 m?​

Answers

a. The force required on the small piston to raise a 10 N load on the large piston is 0.403 N.

b.  The load would be raised to a height of 63.13 cm when the small piston has moved 0.1 m.

How to calculate?

The formula is F1 / F2 = A2 / A1

where F1 is the force applied on the small piston, F2 is the force exerted on the large piston, A1 is the area of the small piston, and A2 is the area of the large piston.

A1 = (π / 4) * (1 cm)^2 = 0.0079 cm^2

A2 = (π / 4) * (5 cm)^2 = 0.196 cm^2

F1 / F2 = 0.0079 cm^2 / 0.196 cm^2 = 0.0403

F2 = 10 N

F1 = F2 * (A1 / A2) = 10 N * 0.0403 = 0.403 N

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Compute the density in g/cm3 of a piece of metal that has a mass of 0.500 kg and a volume of 63 cm3.

Answers

Answer: ~7.94g/cm^3

Explanation: To find the density we first must make sure all the units are correct:

0.500kg x 1000g = 500g

500g / 63 cm^3 will give you units in g/cm^3, and the answer: 7.9365g/cm^3.

Help Which answer is correct

Answers

Answer: plastic

Explanation:

Two blocks are connected by a massless rope over a massless, frictionless pulley. The mass of block 2 is 2=12.1 kg, and the coefficient of kinetic friction between block 2 and the incline is =0.200 . The angle of the incline is 29.5° . If block 2 is moving up the incline at constant speed, what is the mass 1 of block 1?

Answers

The 3.3kg  is the mass 1 of block 1 .

What is mass ?

The amount of matter in a body is referred to as its mass. The kilogramme is the kilograms, which is the SI unit of mass (kg). Mass is defined as: Mass = Density/Volume.

What is speed ?

The rate of a directionally changing object's location. The SI unit of speed is created by combining the fundamental units of length and time. Meters per second (m/s) is the unit of speed in the metric system.

Therefore, The 3.3kg  is the mass 1 of block 1 .

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A 24.0 kg rock, m, is on the edge of a 80.0 m cliff, h, as shown in Figure 11-20. Assume that air resistance is negligible.
(a) What potential energy does the rock possess relative to the base of the cliff?
(b) The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?

Answers

(a) The potential energy of the rock relative to the base of the cliff can be calculated using the formula for gravitational potential energy:

PE = mgh

where m is the mass of the rock (24.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff (80.0 m).

PE = 24.0 kg * 9.8 m/s^2 * 80.0 m = 15,360 J

(b) The kinetic energy of the rock just before it strikes the ground can be calculated using the formula for kinetic energy:

KE = 0.5 * m * v^2

where m is the mass of the rock (24.0 kg) and v is the velocity of the rock just before it strikes the ground. The velocity can be calculated using the equation of motion for a freely falling object:

v = sqrt(2gh)

v = sqrt(2 * 9.8 m/s^2 * 80.0 m) = 44.72 m/s

KE = 0.5 * 24.0 kg * 44.72 m/s^2 = 507.84 J

1) How do we calculate a metal density’s “fractional error” (write the formula)?

2) What is “Zero reading” or “Zero error” and how to find it for “Micrometer caliper”?

3) What is “fractional error” for the following formula?
Z= 2/3 X2Y3 , X= 7m , Y= 4m, σx=0.2m , σy=0.1m
σZ=?

Answers

Answer:

no zero error

Explanation:

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