a 20 n force is applied to a 0.5 kg mass at an angle of 60o above the horizontal. find the acceleration of the mass along the smooth horizontal surface.

Answers

Answer 1

The acceleration of the mass along the smooth horizontal surface is 20 m/s².

What is acceleration?

Acceleration is the rate of change of velocity.

To calculate the acceleration of the mass along the smooth horizontal surface, we use the formula below

Formula:

a = Fcos∅/m.................... Equation 1

Where:

a = Acceleration of the massF = Force applied to the massm = Magnitide of the mass∅ = Angle to the horizontal

From the question,

Given:

F = 20 N∅ = 60°m = 0.5 N

Substitute these values into equation 1

a = (20×cos60°)/0.5a = 20×0.5/0.5a = 20 m/s²

Hence, the acceleration of the mass is 20 m/s².

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Related Questions

The conversion of sugar to energy in the presence of oxygen is
A.
respiration
B.
protein synthesis
C.
binary fission
D.
photosynthesis

Answers

Answer:

A. respiration.

Explanation:

Cellular respiration can be defined as a series of metabolic reactions that typically occur in cells so as to produce energy in the form of adenosine triphosphate (ATP). During cellular respiration, high energy intermediates are created that can then be oxidized to make adenosine triphosphate (ATP). Therefore, the intermediary products are produced at the glycolysis and citric acid cycle stage.

Additionally, mitochondria provides all the energy required in the cell by transforming energy forms through series of chemical reactions; breaking down of glucose into Adenosine Triphosphate (ATP) used for providing energy for cellular activities in the body of living organisms.

Basically, oxygen goes into the body of a living organism such as plants, humans and animals when they breathe while glucose is absorbed by the body when they eat.

Hence, the conversion of sugar to energy in the presence of oxygen is respiration.

when a current flows down a wire? a. electrons are moving in the direction of the current.
b.electrons are moving opposite the direction of the current.
c. protons are moving in the direction of the current.
d. protons are moving opposite the direction of the current.
e.both protons and electrons are moving in the direction of the current.

Answers

Electrons are moving opposite the direction of the current.Thus,the answer is (b).

Current is the flow of electric charge. In a wire, the electric charge is carried by electrons. Electrons have a negative charge, so they move opposite the direction of the current.

The reason why the current flows in the opposite direction of the electrons is because convention. Benjamin Franklin arbitrarily decided that positive charge would flow from positive to negative, even though electrons have negative charge and they actually flow from negative to positive.

So, when you see a schematic of a circuit with current flowing from left to right, it actually means that electrons are flowing from right to left.

Protons, on the other hand, are positively charged and they are much heavier than electrons. They do not move freely in a wire like electrons do.

Thus, the correct option is b.

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State government approves a series of grants to fund job training. Which of the following is a negative externality? (5 points
Businesses would not necessarily increase hiring rates.
Economic recession would result in a backlog of applicants.
Money for conservation efforts would be eliminated.
The state would have to provide child care for parents in training.

Answers

None of the options listed is a negative externality. A negative externality is an unintended consequence of an economic activity that affects a third party who is not directly involved in the activity.

If I were to choose: Businesses would not necessarily increase hiring rates.

This could be considered a negative externality because the grant funding is intended to fund job training in order to increase employment opportunities, but if businesses do not increase their hiring rates despite having a pool of trained workers, then the intended benefit of the grant may not be fully realized. This could result in a loss of resources and a missed opportunity to address unemployment in the community.

Determine the intantaneou voltage acro a 6 ~F capacitor when the current through
it i i = 4 in (]O6 t 35")A

Answers

The voltage across the 6-f capacitor is -67.14 cos (106 t - 25) + k at any given moment.

The immediate voltage across a capacitor is given by the situation v(t) = 1/C × integral (i(t) dt) where C is the capacitance.

Thus, for the given i(t) = 4 sin (106t - 25), the voltage across the capacitor can be determined as:

v(t) = 1/C × integral (4 sin (106 t - 25) dt) = 4/106 × (-cos (106 t - 25)) + k where k is a constant of integration.

Since the capacitance of a 6-f capacitor is 6 × \(10^{-6}\) farads, we can calculate the voltage as:

v(t) = 4/106 × (-cos (106t - 25)) + k = 4/(106 C) × (-cos (106t - 25)) + k

v(t) = 4/(6 × \(10^{-6}\) × 106) × (-cos (106t - 25)) + k

v(t) = -67.14 cos (106t - 25) + k

Therefore, for instantaneous voltage across the 6-f capacitor is -67.14 cos (106 t - 25) + k.

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The question is -

Determine the instantaneous voltage across a 6-f capacitor when the current through it is i(t) = 4 sin (106 t 25) a.

Estimate how the phase difference would change when the value of ω changes from zero to infinity in the circuit

Answers

Without a specific circuit provided, it is difficult to estimate how the phase difference would change when the value of ω changes from zero to infinity.

The phase difference is dependent on the specific circuit components and their respective impedances.

In general, the phase difference between voltage and current in a circuit with inductive or capacitive elements can change significantly as the frequency (or angular frequency ω) changes.

For example, in a simple series circuit consisting of a resistor and an inductor, the phase difference between the voltage and current is zero at DC (ω=0) and approaches 90 degrees as ω approaches infinity.

In contrast, for a series circuit with a resistor and capacitor, the phase difference starts at 90 degrees at DC and approaches zero as ω approaches infinity.

Therefore, it is important to analyze the specific circuit and its components to determine how the phase difference would change as ω changes from zero to infinity.

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SOMEONE PLS HELP PHYSICS QUESTION ASAP WILL GIVE BRAINLY GCSE PHYSICS WAVES

SOMEONE PLS HELP PHYSICS QUESTION ASAP WILL GIVE BRAINLY GCSE PHYSICS WAVES

Answers

The student is correct; as the distance of the stations from the earthquake increases, the arrival time between P - Wave and S- Wave increases.

What is the relationship between the arrival time and distance?

The relationship between the arrival time and the distance from the Earthquake can be deduced as follows;

For station L with the least distance;

the arrival time between the P - wave and S - Wave is 1.5 min

For station M with the greater distance than station L;

the arrival time between the P - wave and S - Wave is 3 min

For station N with the greater distance than station M;

the arrival time between the P - wave and S - Wave is 5 min

From the illustration above, it is obvious that as the distance of the stations from the earthquake increases, the arrival time between P - Wave and S- Wave increases. Hence we can conclude that the arrival time of the waves is proportional to the distance of the stations from he earthquake.

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Suppose the charged sphere is made from a conductor, rather than an insulator. Do you expect the magnitude of the force between the point charge and the conducting sphere to be greater than, less than, or equal to the force between the point charge and an insulating sphere

Answers

Answer:

* Point charge outside the radius of the sphere r> R, the force in the two systems is the same

* Point charge inside the sphere  r <R,  therefore the force in the system with the insulating sphere is greater

Explanation:

To answer this question let's use the relation

          F = q E

with q being the point charge and E the electric field created by the sphere.

If we use Gauss's law

The electric field flux is proportional to the wax charge within the surface.

Let's analyze our situation.

* Point charge outside the radius of the sphere

          r> R

where R is the radius of the sphere and r the distance from the center of the sphere to the point charge

in this case the waxed charge for the insulating and conducting sphere is the same, therefore the force in the two systems is the same

* Point charge inside the sphere

           r <R

conductive sphere.

     As the charges are mobile, they are located on the surface of the sphere and there is no waxed charge within a Gaussian surface that passes through the point charge, therefore the electric field is zero and consequently the force

             F = 0

insulating sphere

      Charges cannot move therefore there is a fraction of charge within a surface that passes through the point charge, consequently the electric field is different from zero

            Fe> 0

for this second position the force on the conducting sphere is zero

therefore the force in the system with the insulating sphere is greater

Compared to a sidereal month, the time from one full moon to the next is:__________

Answers

The sidereal month of the moon is approximately 27.321661 days, and the time from one full moon to the next is called a synodic month, which is about 29.5 days.

The time from one full moon to the next is called a synodic month, which is about 29.5 days. The synodic month is longer than the sidereal month because during the time it takes for the moon to return to the same position relative to the stars, the Earth has also moved in its orbit around the sun.

This means that the moon has to travel a little further to get back to the same position relative to the Earth, making the synodic month slightly longer. The difference between the two is only about 0.3 days, but over time it can have significant effects on the moon's position relative to the Earth and the timing of lunar events.

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How much energy does it take to boil water for pasta? For a one-pound box of pastayou would need four quarts of water, which requires 15.8 kJ of energy for every degreeCelsius (°C) of temperature increase. Your thermometer measures the startingtemperature as 48°F. Water boils at 212°F.a. How many degrees Fahrenheit (°F) must you raise the temperature?b. How many degrees Celsius (°C) must you raise the temperature?c. How much energy is required to heat the f

Answers

The thermometer measures the starting temperature as,

\(T_1=48^{\circ}F\)

The temperature required for the boiling the water is

\(T_2=212^{\circ}F\)

(a). The temperature requires to boil is,

\(\begin{gathered} T=T_2-T_1 \\ T=212-48 \\ T=164\text{ F} \end{gathered}\)

how does a battery work ?​

Answers

A battery is a device that stores chemical energy and converts it to electrical energy. ... The flow of electrons provides an electric current that can be used to do work. To balance the flow of electrons, charged ions also flow through an electrolyte solution that is in contact with both electrodes.

Answer:

I completely agree with the first person's response.

Explanation:

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nail tips exert tremendous pressures when they are hit by hammers because they exert a large force over a small area. what force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure of (this high pressure is possible because the hammer striking the nail is brought to rest in such a short distance.)

Answers

2.18X103 N force must be exerted on a nail with a circular tip of 1.00 mm diameter to create a pressure.

diameter, d = 0.95 mm = 0.95x10-3m

P = 3.1X10^9 Pa

r = d/2 = 0.95/2 x 10^-3 m

= 0.475 x 10^-3 m

Area = \(\pi\) r2

= 3.14 x ( 0.475 x 10^-3 m)2

=  = 3.14 x 0.225 x 10^-6

= 0.706 × 10-6 m2

Force = PXA

= 3.1 x 10^9 x 0.70 6 × 10^-6

F = 2.18X103 N

Pressure , within the physical sciences, the perpendicular force in step with unit per area , or the stress at a factor inside a restricted fluid.

A easy instance of pressure can be seen by retaining a knife to a bit of fruit. In case you keep the flat part of the knife towards the fruit, it might not reduce the area. The force is spread out of a massive vicinity (low strain).

The SI unit of pressure is pascal (represented as Pa) which is identical to one newton in line with rectangular metre (N/m2 or kg m-1s-2).

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How does mercury differ from other metals?(1 point)

It does not conduct electricity.
It is not lustrous.
It is not solid under normal conditions.
It does not chemically react with other elements.

Answers

Answer:

It is not solid under normal conditions

Mercury differs from other metals as It is not solid under normal conditions. It is the only metal that is liquid at room temperature, therefore the correct answer is option C

What is the matter?

Anything which has mass and occupies spaces is known as matter, mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

Because it is not solid under normal circumstances, mercury is different from other metals. Because it is the only metal that is liquid at room temperature,

Thus the correct answer is option C

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2. the density of a block of wood is 750 kg/m3. when this block is floating in water, what fraction of its volume is submerged?

Answers

0.75 or 75% of the volume of the block is submerged in water.

When an object is placed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. If the buoyant force is equal to or greater than the weight of the object, it will float.

To find the fraction of the volume of the block submerged in water, we need to compare the weight of the block to the buoyant force it experiences. Since we are given the density of the block, we can find its mass by multiplying the volume by the density. Let's assume that the block has a volume of 1 m^3, then its mass would be:

\(mass = volume x density = 1 m^3 x 750 kg/m^3 = 750 kg\)

Next, we need to calculate the weight of the block:

\(weight = mass x gravity = 750 kg x 9.81 m/s^2 = 7,357.5 N\)

Now, we can calculate the buoyant force experienced by the block. The buoyant force is equal to the weight of the water displaced by the block. Since the block is floating in water, the volume of water displaced is equal to the volume of the submerged portion of the block. Let's assume that the fraction of the volume submerged is x, then the volume of water displaced is also x. The density of water is 1,000 kg/m^3, so the weight of the water displaced is:

\(weight of water = volume of water x density of water x gravity = x m^3 x 1,000 kg/m^3 x 9.81 m/s^2 = 9,810x N\)

Since the buoyant force is equal to the weight of the water displaced, we have:

buoyant force = 9,810x N

Now, we can set the buoyant force equal to the weight of the block and solve for x:

9,810x N = 7,357.5 N

x = 0.75        

Therefore, 0.75 or 75% of the volume of the block is submerged in water.

In conclusion, we can find the fraction of the volume of a block submerged in water by comparing its weight to the buoyant force it experiences, which is equal to the weight of the water displaced by the block. The density of the block, the density of the fluid, and the gravitational acceleration are important factors to consider when calculating the buoyant force and determining whether an object will float or sink in a fluid.

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Fast cooling rates tends to promote transformations that result in relatively course structures (e.g. for a reaction resulting in multiple product phases, the secondary phase particles are (i) fewer in count (ii) larger in size and (iii) relatively spherical). True or False
For most materials, the formation of a glass from a liquid typically requires extremely slow cooling rates, thereby taking on the order of years or even centuries to produce. True or False
For a system below its melting point, a glass (or non-crystalline / amorphous) configuration is the most energetically stable state that is possible, since it offers the lowest Gibbs free energy for all possible solid configurations. True or False
When measured experimentally, most materials tend to exhibit the same exact temperature value for both melting and freezing (crystallization). True or False
Gray iron is a microstructure that tends to result when a cast iron of appropriate composition is cooled fairly quickly. True or False
Coarsening refers to the scenario where, upon heating and/or annealing for sufficient time, the scale of a microstructure tends to reduce (e.g. grains become smaller, secondary phase particles separate into smaller particles and become more finely dispersed, often reverting to high aspect ratio or high surface-area-to-volume ratio configurations. True or False

Answers

Answer:

1) correct answer is ii  larger size

2) false, 3) false, 4) true, 5) true, 6) true

Explanation:

In this exercise, the answer is asked if the statement is true.

1) in the rapid cooling speed, there is no thermodynamic equilibrium, so the secondary phases do not have time to transform into the main one, therefore many phases appear in the products,

the correct answer is ii

2) False. The transformation of a material to the glass state requires a fixed temperature and rapid changes to reach this temperature,

3) False. The most stable state is the crystalline state, the glass states are metastable, their Gibbs energy is not the lowest possible and they must transition to the crystalline state over time, it can be years or centuries.

4) True. The melting and freezing temperatures change for each material, within the same material it always has the same value, since it corresponds to a change in the state of the system.

5) true. Cast iron is called gray because of the impurities inside that have not had time to move due to rapid cooling.

6) True. The microstructure is reduced in the process of cooling and heating

What is a good comparison (in reference to an object) to an ultrasound beam? Why?

Answers

A good comparison for an ultrasound beam is a flashlight. Just as a flashlight emits light in a focused beam, an ultrasound beam emits sound waves in a focused direction.

Both a flashlight and an ultrasound beam can be adjusted to control the direction and intensity of the emitted energy.
Another comparison could be to a radar system. Like ultrasound, radar also uses waves to detect and measure objects. However, radar waves are much longer and operate at higher frequencies than ultrasound waves.

The comparison to a flashlight is particularly useful in helping people understand how ultrasound imaging works. By imagining the ultrasound beam as a flashlight shining through the body, it becomes easier to visualize how the waves bounce off internal structures and create images.

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Will these charges attract or repel and why? Pls review the picture

Will these charges attract or repel and why? Pls review the picture

Answers

I think they will repel because they are the same

total magnifying for a compound light microscope is calculated by multiplying the power of the

Answers

The total magnification of a compound light microscope is calculated by multiplying the power of the objective lens by the power of the eyepiece.

The objective lens is the lens closest to the object being viewed, while the eyepiece is the lens closest to the eye of the observer. The power of the objective lens is typically marked on the lens itself and ranges from 4x to 100x or more. The power of the eyepiece is also marked on the lens and is typically 10x.

To calculate the total magnification, simply multiply the power of the objective lens by the power of the eyepiece. For example, if the objective lens has a power of 40x and the eyepiece has a power of 10x, the total magnification would be 40 x 10 = 400x.

It is important to note that magnification alone does not determine the quality of an image in a microscope. Other factors such as resolution, contrast, and depth of field also play important roles in producing a clear and detailed image.

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The duration between the emission of the sound from the echo reception is: t - 1.5 s. the distance between the observer and the sound receiver knowing that the speed of sound in the air is worth

V - 340 m/s is:

Answers

Answer:

. tt tt t t t t t t tt t tt t t jk j k j k j k j k jk k j k jk

A bird flies 100 meters per second in 50 seconds. How far will it travel?

Answers

Answer:the answer is 5000 meters

Explanation: because it travels 100m per seconds.

we have to multiply meters with seconds.    m multiply s

Que masa tiene un objeto que acelera a 3. O m/s bajo la influencia una fuerza

Answers

The mass of the object which is accelerating at 3.0 m/s².

Using Newton's second law of motion, which states that the force acting on an object is equal to the object's mass times its acceleration, we can calculate the mass of an object that moves under the action of a force 3.0 accelerates at m/s2. This can be written mathematically as:

F= ma

where F is the applied force, m is the mass of the object, and a is its acceleration.

We can rewrite this equation to solve for m to determine mass:

m = f/a

By substituting the specified acceleration and force values ​​into this equation, the following result can be obtained:

m = F/a = (force applied)/acceleration = (given force)/(3.0 m/s²)

Therefore, the mass of the item that is speeding at \(3.0 m/s^2\) under the effect of the force may therefore be determined using this equation if we are aware of the applied force.

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The question is in Spanish, the English translation of the question is:

What is the mass of an object that accelerates at 3.0 m/s under the influence of a force?

Write a brief explanation of convection using the terms expansion, density, and gravity.

Answers

Answer:

Expansion- the action of becoming larger or more extensive. Density-he degree of compactness of a substance. Gravity-Sturdy with triple wall structure, these gravity convection ovens carry accurate temperature uniformity as well as air distribution similar to many forced air ovens. Units are well suited for a diversity of drying, baking as well as curing applications

Explanation:

Answer:

EXPANSION :- The expansion of the universe is the increase in distance between any two given gravitationally unbound parts of the observale universe with time.

DENISTY :- Mass of a unit volume of a material substance.

GRAVITY :- Is also called the gravitational force, the universal force of attraction acting between all matter.

Suppose the spark plug on a heat engine is not functioning properly. Which statement best explains how this will affect the engine? The temperature of the gas will not increase during the compression stage. Burned gases will not be released into the surrounding air. The fuel-air mixture will not be able to enter the cylinder. Combustion and subsequent gas expansion will not occur.

Answers

Answer:

D. Combustion and subsequent gas expansion will not occur.

Explanation:

I got it right on the test.

Suppose the spark plug on a heat engine is not functioning properly. Which statement best explains how

If the spark plug on a heat engine is not functioning properly, combustion and subsequent gas expansion will not occur.

Heat engines refer to those engines that function via the combustion of a fuel.  This fuel is burnt in a combustion chamber and the energy generated enables the system to work.

The function of the spark plug is to create the explosion which makes the engine produce power. If the spark plug on a heat engine is not functioning properly, combustion and subsequent gas expansion will not occur.

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two j-k flip-flops are shown below. determine the output q waveform using the given input waveforms. the flip-flops are initially set to reset.

Answers

The truck must move at approximately 20.78 m/s.

What is the required speed of the truck?

To find the required speed of the truck, we can use the concept of vector addition and trigonometry. The total momentum vector, which represents the combined momentum of the car and the truck, makes a 30° angle with the x-axis and a 60° angle with the y-axis.

Given that the car is moving at 12 m/s, we can break down its momentum into x and y components. The x-component of the car's momentum is 12 * cos(30°), and the y-component is 12 * sin(30°). Since the total momentum vector must make a 30° angle with the x-axis, the x-component of the truck's momentum should be equal in magnitude but opposite in direction to the x-component of the car's momentum. Therefore, the x-component of the truck's momentum is -12 * cos(30°).

To determine the required speed of the truck, we need to find the y-component of its momentum. Since the total momentum vector makes a 60° angle with the y-axis, the y-component of the truck's momentum is equal to the y-component of the car's momentum, which is 12 * sin(30°).

To find the speed of the truck, we can calculate the magnitude of its momentum vector using the Pythagorean theorem. The magnitude is given by the square root of the sum of the squares of the x and y components of the momentum. Therefore, the required speed of the truck is approximately sqrt((-12 * cos(30°))^2 + (12 * sin(30°))^2), which simplifies to approximately 20.78 m/s.

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What is the equivalent resistance of the
circuit?
(A) 0.07142
(B) 0.875 22
(C) 1.14 12
(D) 4.67 22
(E) 14.0 22

What is the equivalent resistance of thecircuit?(A) 0.07142(B) 0.875 22(C) 1.14 12(D) 4.67 22(E) 14.0

Answers

Answer: The correct option is (B) 0.875 Ω.

Explanation:

Equivalent resistance: It is defined as the sum of the all resistance present in the circuit.

There are two conditions:

(1) Resistors in series

Equivalent resistance, \(R_s=R_1+R_2+R_3+R_4........R_n\)

(2) Resistors in parallel

Equivalent resistance, \(R_p=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}........\frac{1}{R_n}\)

According to the given circuit, the resistors are in parallel arrangement.

Given:

\(R_A=2.00\Omega\\\\R_B=4.00\Omega\\\\R_C=8.00\Omega\)

Thus,

Equivalent resistance will be:

\(R_p=\frac{1}{R_A}+\frac{1}{R_B}+\frac{1}{R_C}\\\\R_p=\frac{1}{2.00}+\frac{1}{4.00}+\frac{1}{8.00}\\\\R_p=0.875\Omega\)

Therefore, the equivalent resistance of the circuit is 0.875 Ω.

A remote-controlled helicopter is flying at an altitude of 3 meters and a velocity of 7.6 meters per second to the west. At this velocity, how far will the helicopter fly in 2.5 seconds?

Write your answer as a whole number.

Answers

The helicopter will fly 19 meters distance to the west in 2.5 seconds.

What is the distance?

To solve this problem, we can use the formula:

distance = velocity x time

We are given that the velocity of the helicopter is 7.6 meters per second to the west, which means it is moving horizontally. Therefore, we only need to consider the horizontal component of the distance traveled.

In 2.5 seconds, the distance traveled horizontally by the helicopter is:

distance = velocity x time

distance = 7.6 m/s x 2.5 s

distance = 19 meters

Therefore, the helicopter will fly 19 meters to the west in 2.5 seconds.

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Complete question is: A remote-controlled helicopter is flying at an altitude of 3 meters and a velocity of 7.6 meters per second to the west. At this velocity, The helicopter will fly 19 meters distance to the west in 2.5 seconds.

Why do we say that sliding a book to a halt across the table is an "irreversible" process?
A. Because you can never slide the book back again
B. Because energy is destroyed in this process
C. Because the book will never return to motion on its own
D. Because the momentum of the book is transferred to the table
E. Because of conservation of angular momentum

Answers

"Energy is lost during the process of a book sliding across a table to a stop, we would say that this process is irreversible." In accordance with the equipartition of energy principle, each atom in a gas possesses the same amount of energy at any given time.

Translation is the movement along a curved or straight path. The orientation of a body is impacted by the rotational motion. The phenomenon of an item changing its position in relation to time is known as motion in physics. Motion is described mathematically using the concepts of displacement, distance, velocity, acceleration, and speed.

A body's ability to change its location with respect to time is known as motion. The different motions comprise: a direct course of travel When a particle travels from one point to another along a straight or curved path, it is said to be in linear motion.

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A shopkeeper uses a force of 50N to lift a box to a shelf 1.5m high. How much work is done?

Answers

A shopkeeper uses a force of 50N to lift a box to a shelf 1.5m high. How much work is done?

The radium isotope 223Ra, an alpha emitter, has a half-life of 11. 43 days. You happen to have a 1. 0 g cube of 223Ra, so you decide to use it to boil water for tea. You fill a well-insulated container with 460 mL of water at 16∘ and drop in the cube of radium.


How long will it take the water to boil?


Express your answer with the appropriate units

Answers

It will take about 11.8 days for the water to boil.

The first step is to find the decay constant (λ) of the radium isotope using the half-life equation:

t1/2 = 0.693/λ

where t1/2 is the half-life.

So, rearranging the equation, we get:

λ = 0.693/t1/2

  = 0.693/11.43 days

  = 0.0605 day⁻¹

Next, we need to calculate the number of radium atoms in the 1.0 g cube using Avogadro's number and the molar mass of 223Ra:

Number of atoms \(= (1.0 g)/(223 g/mol) * (6.022 * 10^{23} atoms/mol)\)

                             = 2.7 x 10²⁰ atoms

Since each radium atom emits an alpha particle during decay, we can calculate the activity of the radium sample:

Activity = (2.7 x 10²⁰ atoms) x (1 decay/atom) x (1 alpha particle/decay)

             = 2.7 x 10²⁰ alpha particles per second

Now, we need to calculate the energy released per alpha particle. The energy (E) released per alpha particle can be calculated using the equation:

E = (Q/m) x Na

where

Q is the energy released per decay,

m is the mass of the radionuclide per decay, and

Na is Avogadro's number.

For 223Ra,

Q = 5.69 MeV,

m = 223/2 = 111.5 g/mol, and

Na = 6.022 x 10^23 atoms/mol.

Therefore,

E = (5.69 MeV/decay)/(111.5 g/mol) x (6.022 x 10²³ atoms/mol)

   = 3.84 x 10⁻¹³ J/alpha particle

Finally, we can calculate the rate of energy transfer to the water by multiplying the activity of the radium sample by the energy released per alpha particle:

Rate of energy transfer = (2.7 x 10²⁰ alpha particles/s) x (3.84 x 10⁻¹³ J/alpha particle)

                                      = 1.04 W

To boil the water, we need to transfer enough energy to raise its temperature from 16°C to 100°C and to vaporize it.

The specific heat capacity of water is 4.18 J/g°C, and the heat of vaporization of water is 40.7 kJ/mol, or 2257 J/g. The mass of the water is 460 g, so the total energy required is:

Energy required = (460 g) x (4.18 J/g°C) x (100°C - 16°C) + (460 g) x (2257 J/g)  

                            = 1.06 x 10⁶ J

Finally, we can calculate the time required to transfer this amount of energy to the water using the formula:

Energy transferred = Rate of energy transfer x time

Solving for time, we get:

time = Energy required/Rate of energy transfer

       = (1.06 x 10⁶ J)/(1.04 W)

       = 1.02 x 10⁶ s

       = 11.8 days

Therefore, it will take about 11.8 days for the water to boil.

To know more about refer decay constant here

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A piano has a mass of 99 kg. What is the weight of the piano?

Answers

Explanation:

weight of the piano = mg

w = 99 x 10 =990 N

what is cos-1 (0.34)?

Answers

Answer:

70.12312593 rounded is 70.1

Explanation:

cos-1(0.34)= 70.1

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