The frictional force is 17.32 N.
Calculating the frictional force, we can use the equation:friction = coefficient of friction * normal force
Since the box is not moving, the frictional force must be equal to the force applied to the box.
Recall, force applied is 20 N at an angle of 30 degrees to the horizontal. We can break this force into its horizontal and vertical components using trigonometry:
horizontal force = 20 N * cos(30) = 17.32 N
vertical force = 20 N * sin(30) = 10 N
The normal force is equal to the weight of the box, which can be calculated as:
normal force = weight of box
= 12 kg * 9.8 m/s²
normal force = 117.6 N
Now we can use these values to calculate the coefficient of friction:
coefficient of friction = friction / normal force
friction = horizontal force
= 17.32 N
Coefficient of friction = 17.32 N
117.6 N
Coefficient of friction = 0.147
Hence, the frictional force is 0.147 * 117.6 N
= 17.32 N
This is the same as the horizontal component of the force applied to the box.
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The north end of a magnet in a compass which is installed in the
ship align itself with earth's_
_or
pole.
( 2 marks)
B
magnetic south
D
geographical south
magnetic north
geographical north
The north end of a magnet in a compass which is installed in the ship align itself with earth's magnetic north which is therefore denoted as option C.
What is a Magnet?
This is referred to as a type of material or object that produces a magnetic field.
Magnetic north on the other hand is referred to as the direction that a compass needle points to as it aligns with the Earth's magnetic field and in this case we were told that the north end of a magnet in a compass which is installed in the ship align itself which is therefore the reason why option C was chosen as the correct choice.
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If the rest wavelength of a certain line is 600 nm, but we observe it at 594 nm, then:
If the rest wavelength of a certain line is 600 nm, but we observe it at 594 nm, then the source is approaching us at 1% of the speed of light.
About speed of lightThe speed of light or the speed of light symbolized by c is a universal physical constant that is important in many fields of physics. Its precise value is 299,792,458 meters per second (approx. 3.00×108 m/s), because the length of a meter is defined based on this constant and the international standard of time.[
This speed is the maximum speed that all forms of energy, matter, and information in the universe can travel. This speed is the speed of all massless particles and physical fields, including electromagnetic radiation in a vacuum. According to modern theory, this speed is the speed of gravity (the speed of gravitational waves). These particles and waves move at a speed c regardless of the source of motion or the observer's inertial frame of reference. In the theory of relativity, c is related to spacetime. This constant also appears in the physics equation mass-energy balance E = mc2.[2]
The speed of light propagating through transparent materials such as glass or air is slower than c. The ratio between c and the speed v (the speed of light in a material) is called the refractive index n of that material (n = c / v). For example, the refractive index of glass is generally around 1.5, meaning that the light in the glass travels at a speed c / 1.5 ≈ 200,000 km/s; the refractive index of air for visible light is about 1.0003, so the speed of light in air is about 299,700 km/s (about 90 km/s slower than c).
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the apparent path of the sun upon the celestial sphere is called the ________. declination precession sidereal ecliptic parallax 2 points
Answer:
ecliptic
Explanation:
its actually the intersection of the plane and the Earth's orbit with the celestial sphere.
after the center of a mature wave cyclone passes, you should expect ________.
You should anticipate a rise in barometric pressure once the core of a mature wave cyclone has passed.
When a mature cyclone's centre has passed, what happens to the weather?After the core of a mature wave cyclone has passed, what will happen to the barometric pressure? The atmospheric pressure will increase.
Has the wind changed direction as it passes, from southwest to northwest?With the passage of a cold front, a dramatic change in wind direction is frequently seen. In the warmer air mass ahead of the front, winds are often out of the south-southwest before the front arrives, but as it arrives, winds typically change to the west-northwest (in the colder air mass).
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The pressure on 400 mL of a gas is raised from 20.5 kPa. to 80.5 kPa. What is the final volume of the gas?
Answer:
200ml
Explanation:
To determine the final volume of the gas, you can use the ideal gas law, which states that PV = nRT, where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature in kelvins.
If you know the initial pressure and volume of the gas, and you raise the pressure to a new value, you can use the ideal gas law to determine the new volume.
For example, if the initial pressure of the gas is 20.5 kPa, the initial volume is 400 mL, the number of moles of the gas is n, the temperature is T, and the pressure is raised to 80.5 kPa, you can solve for the final volume as follows:
P1V1 = nRT
P2V2 = nRT
V2 = (P1V1)/P2
V2 = (20.5 kPa * 400 mL)/80.5 kPa
V2 = 200 mL
So, the final volume of the gas is 200 mL.
It's important to note that this calculation assumes that the temperature and the number of moles of the gas remain constant. If either of these variables changes, the final volume of the gas will also be different.
A 6. 00 kg block slides down a 3. 40 m long inclined plane. The speed of the block at the bottom is 5. 40 m/s. If the height of the plane is 2. 00 m, what is the work done by friction?.
The block there at bottom is moving at a speed of 5.40 m/s. if the plane is 2.0 meters in height. Friction produces work at a rate of 30.24 J.
What are the friction laws?The friction of a moving item is inversely proportional to the usual force and runs perpendicular to it. The type of surface the thing comes into touch with determines the amount of friction it experiences. Area of contact has no bearing on friction.
What elements influence friction?The kind of the contacting surface affects the frictional force. The amount of friction increases with surface roughness. The pushing force, or weight of the body, is proportionate to the frictional force. It is unaffected by the contact area.
gravitational energy mgh ,
= 6•9.81•2 = 117.72 J.
kinetic energy = 0.5mv2
= 0.5•6•(5.40)2
= 87.48 J.
Work done = 117.72 - 87.48
=30.24 J.
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1. What factors make it more likely that an animal will be preserved as a fossil?
2. What are the five main processes of fossilization?
3. A scientist wants to determine the age of a rock. The rock contains an index fossil and an ancient relative of a
living organism. Which is more useful for dating the rock, and why?
4. A 15th century farmer finds a rock that looks exactly like a clamshell. What did he likely conclude about how the
fossil got there?
5. Why didn't the early geologic time scale include the number of years ago that events happened?
6. Dinosaurs went extinct about 66 million years ago. Which period of geologic time was the last in which dinosaurs
lived?
7. Why are sedimentary rocks more useful than metamorphic or igneous rocks in establishing the relative ages of
rock?
8. Which is likely to be more frequently found in rocks: fossils of very old sea creatures or very old land creatures?
The factors that make an animal to be preserved as a fossil includes that the fossils such a bones, skull etc can be preserved for longer time and can be studied to analyse their structure living era and behaviors.
What is fossil?Fossils are decomposing plans and animals. They are rich in carbon and can be preserved for a long time. Study of fossils reveals the structural and behavioral characteristics of the organism.
Fossilization can occur through five ways. Which are :preserved remains,permineralization, molds and casts, replacement and compression.
Using fossil samples, it is easy to determine the age of the material rather than comparing with a ancient relative of a living organism. The age of rock can be determined using the measurement of radioactive uranium in the fossils.
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The energy gap for silicon at 300 k is 1. 14 ev. The lowest-frequency photon that can promote an electron from the valence band to the conduction band will be.
At 300 K, the energy gap for silicon is 1.1 eV, whereas that of germanium is 0.78 eV.
How do you determine silicon's band gap energy?Wavelength (nm) (nm) All of these places will be along the same line and have the same slope when measured in arbitrarily units (A.U.). Now, when we plug the wavelength value into equation 2 of the Planck-Einstein equation, we obtain the band gap of a P-type monocrystalline silicon wafer, which is 1.127907 eV.
The conduction band is the region of energy where an electron must be in order for it to participate in the conduction of electricity. The band gap or energy gap refers to the separation between the valence band and conduction band.
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the process by which plastic deformation is produced by dislocation motion is called ________.
The process by which plastic deformation is produced by dislocation motion is called slip deformation.
When applied stress exceeds the elastic limit or yield stress, the deformation of the material body occurs. This is due to the result of a slip or dislocation mechanism at the atomic level. Plastic deformation in a metal has two prominent mechanisms, and they are. When we apply a shear stress on an object in a particular direction to change its shape or anything that we cam do. the shear stress generate a strain on the object and changes its shape to the extent that we can do by the force. the shape is changed to the extent by the force applied on the part of it and we can take a look into it. A prominent mechanism of deformation in metal is slip. By this particular information we can firmly conclude that the process by which plastic deformation is produced by dislocation motion is called slip deformation.
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the ____ of a star is a measure of the total energy radiated by the star in one second.
The luminosity of a star is a measure of the total energy radiated by the star in one second.
The radiant power that is emitted by a light-emitting device over the course of time is referred to as luminosity. Luminosity is an absolute measure of radiated electromagnetic power. The total quantity of electromagnetic radiation that a star, galaxy, or other celestial object emits in a given amount of time is referred to as its luminosity in the field of astronomy.
Luminosity is expressed in SI units as joules per second, which is also written as watts. The absolute bolometric magnitude of an object is a logarithmic measure of its total energy emission rate, and the absolute magnitude of an object is a logarithmic measure of the luminosity within some specific wavelength range or filter band.
Luminosity can also be given in terms of the astronomical magnitude system.
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When 1 kg of ice at 0 degree Celsius is mixed?
When 1 kilogram of ice at 0 degrees Celsius is mixed with another substance, it will absorb heat until it melts and reaches its melting point of 0 degrees Celsius.
The amount of heat required to melt the ice is called the heat of fusion, which is typically around 333.55 joules per gram. Therefore, it will absorb approximately 333,550 joules of energy to completely melt.
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the term electricity is derived from the greek word ? , and means "to be like amber."
"electric" originates from the Greek word "elektron," which meaning "to be like amber" or "to be able to draw other things."
Proton attraction keeps electrons in their orbits, but some external factors can cause electrons in the outer band to break off of their orbit. These are referred to as free electrons, and electron flows are created when they move from one atom to the next. The foundation of electricity is these. There are two types of electricity: Static electricity: When an object's positive and negative charges are not balanced, an electrical pulse known as static electricity is discharged. The movement of electrons from one area of the circuit to another is known as current electricity.
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Find information about your system’s hardware and operating system and provide the information requested in the table.
Computer Type
Computer Model
Manufacturer
Processor Model
Processor Speed
RAM Capacity
Secondary Storage (type and capacity)Input Devices
Output Devices
Input/Output (Dual) Devices
OS (include the version)
PLEASE HELPP!
Below is an example of the kind of information that might be found in such a table for my HP computer:
Computer Type: Desktop
Computer Model: HP Pavilion
Manufacturer: HP
Processor Model: Intel Core i5
Processor Speed: 2.5 GHz
RAM Capacity: 8 GB
Secondary Storage: 1 TB HDD
Input Devices: Keyboard, Mouse
Output Devices: Monitor, Speakers
Input/Output (Dual) Devices: USB ports, DVD-RW drive
OS: Windows 10 (version 20H2)
What is the purpose of a computer's operating system?The most significant program running on a computer is the operating system. In addition to overseeing all of the computer's hardware and software, it also supervises the memory and processes. Additionally, it enables communication with the computer even if you are not fluent in its language.
Therefore, A group of programs known as an operating system coordinates the actions of computer hardware and software. When man and machine are in contact, it serves as a bridge. Microsoft Windows, Linux, BOSS, and other operating systems are examples.
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A 2.5 kg body moving at 7.0 mls collides hedd-on with another body of mass 4.0 kg at rest. If the is perfectly elastic, Calculate the velocities of the two bodies.
The velocities of the two bodies are 4.4m/s.
To calculate the velocities, we must calculate the momentum before and after the collision.M₁ = 2.5 kg
M₂ = 4.0 kg
V₁ = 7.0 m/s
V₂ = ?
To calculate the momentum before collision P₁:
P₁ = M₁ * V₁
P₁ = 2.5 kg * 7.0 m/s
P₁ = 17.5 kg m/s
The momentum before collision P₁ = 17.5
To calculate the momentum after collision P₂:
P₂ = M₂ * V₂
P₂ = 4.0 kg * V₂
momentum before collision P₁ = the momentum after collision P₂
17.5 kg m/s = 4.0 kg * V₂
Making V₂ subject of the formula we have:
V₂ = 17.5 kg m/s
4.0 kg
V₂ = 4.375
V₂ ≈ 4.4m/s
Hence the velocities of the two bodies is 4.4m/s.
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]A weather balloon is designed to expand to a minimum radius of 20 m when in flight at its working altitude, where the air pressure is 0.030 atm and the temperature is 200 K. If the balloon is filled at atmospheric pressure and 300 K, what is its radius at lift-off
A weather balloon is designed to expand to a minimum radius of 20 m when in flight at its working altitude, where the air pressure is 0.030 atm and the temperature is 200 K. If the balloon is filled at atmospheric pressure and 300 K, its radius at lift-off will be 6.83 m
The radius can be calculate as follows:
P₁ is Initial pressure = 0.03 atm
P₂ is Final pressure = 1 atm
r₁ is Inital radius = 20 m
V₁ is Intial volume of gas = 4/3 x 3.14 x r1^3
V₂ is Final volume of gas = 4/3 x 3.14 x r2^3
T₁ is Initial temperature = 200 K
T₂ is Final temperature = 300 K
Let the radius at the liftoff be r₂
From ideal gas law we have
P₁V₁/T₁ = P₂V₂/T₂
P1V1T2 = P2V2T1
P₁ x (4/3 x 3.14 x r₁³) x T₂ = P₂ x (4/3 x 3.14 x r₂³ )x T₁
P₁ x r₁³ x T₂ = P₂ x r₂³ x T₁
r₂³ = P₁ x r₁³x T₂ / P₂ x T₂
r₂³ = 0.03 x 20³ x 300/ 1 x 200
r₂³ = 360 m
r₂ = 6.83 m
Hence, The radius at liftoff is 6.83 m
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A black Light uses_________radiation to make some objects glow
Answer:
ultraviolet
Explanation:
An astronaut weighs 500 newtons on earth and 25 newtons on asteroid x. The acceleration due to gravity on asteroid x is approximately.
The acceleration due to gravity on asteroid X is approximately 0.5 m/s². The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.
What is acceleration due to gravity ?To calculate the acceleration due to gravity on asteroid X, you need to first determine the mass of the astronaut. Since weight is a measure of the force of gravity on an object, and the force of gravity is directly proportional to the mass of the object, the mass of the astronaut can be calculated by dividing the weight on Earth by the acceleration due to gravity on Earth.
The acceleration due to gravity on Earth = 9.8 meters per second
The mass of the astronaut = 500 Newtons / 9.8 m/s^2, 50 Kg
The equation for gravitational force is F = Gm1m2/r^2,
where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them . Solving for r, you can calculate that the distance between the astronaut and the center of asteroid X is approximately 5 meters. That is 0.5 m/s².
Therefore, The acceleration due to gravity on asteroid X is approximately 0.5 m/s². The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity.
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What does it mean if an object sinks to the bottom of the cylinder?
An object's density influences whether it will float or sink in another material. If an object is less dense than the liquid it is placed in, it will float. If an object is denser than the liquid in which it is immersed, it sinks.
What exactly is density?The density of a substance is a measure of how tightly it is packed. It is stated in terms of mass per unit volume. Density is represented by the symbol D, and the density formula is: = m/V, where is the density, m is the object's mass, and V is its volume. A material's density is defined as its mass per unit volume. The most frequent density symbol is, however the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.
Here,
The density of a thing influences whether it will float or sink in another substance. If an object is less dense than the liquid in which it is placed, it will float. If an object is more dense than the liquid it is immersed in, it will sink.
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Determine whether the following technological inventions belonged to the Maya or the Inca
Inca civilization invented communications networks, an accounting system, Terraces, and an effective government system whereas the Maya civilization invented the language of hieroglyphs and also an accurate calendar system.
What inventions did the Inca make?Inca civilization made the invention of communications networks. The Inca's communication system was remarkably outstanding. They also invented the accounting system, Terraces, Freeze drying, the surgery of the Brain, an effective government system, and Rope bridges. Engineering was the Inca's greatest technological skill.
The best example is their wonderful network of roads. The Incas built a web of roads across the entire empire. They carved staircases and made tunnels to create ways of transportation through steep mountain ranges. Maya civilization also developed a written language of hieroglyphs and also invented the concept of zero. With their expertise in astronomy and mathematics, the Maya developed an accurate calendar system.
so we conclude that Maya and Inca civilizations invented different technologies.
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An object undergoing free fall experiencesO a decrease in its acceleration and an increase in its velocity O an increase in both its acceleration and velocity O . a constant acceleration and an increase in its velocity
In a free fall, acceleration doesn't rise. 9.8 m/s2 is roughly the acceleration at the surface of the earth. While the acceleration is constant, the velocity is not.
What transpires during a free fall of an object?
When objects are stated to be falling freely, they are only being pulled downward by gravity and do not experience much air resistance. All objects will fall with the same rate of acceleration under these circumstances, regardless of their mass.
What kind of acceleration does anything undergo during free fall?
The acceleration of an item in free fall is -9.8 m/s/s. (The minus symbol represents a downward acceleration.) Whether it is stated explicitly or not, the acceleration value in the kinematic equations.
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Make a force diagram for the following scenarios:
A car is accelerating to the left at a rate of -3.5 m/s²
The force body diagram is given below:
Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation. A free-body diagram is a special example of the vector diagrams. These diagrams will be used throughout our study of physics. The size of the arrow in a free-body diagram reflects the magnitude of the force. The direction of the arrow shows the direction that the force is acting. Each force arrow in the diagram is labeled to indicate the exact type of force. It is generally customary in a free-body diagram to represent the object by a box and to draw the force arrow from the center of the box outward in the direction that the force is acting.Here,
F(N) = Normal force
F = Force
a = acceleration
m = mass
g = acceleration due to gravity
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An114kgmanclimbsupa1mhighflightof stairs. The acceleration of gravity is 9.81 m/s2 . What is the increase in the gravitational potential energy of the man-earth system
The increase in the gravitational potential energy of the man-earth system is 1.117 kJ.
An object's position relative to some reference point, zero, causes it to store a certain amount of energy known as potential energy.
The formula for determining potential energy, denoted by the letter P, is as follows:
P = mass x gravity x height.
According to the information provided:
The mass (m) of the man (in kilograms) is 114 kilograms
Displacement or height (h) = 1 meter
The acceleration of gravity (g) = 9.8 meters per second squared.
Therefore, potential energy (P) is 114 kg x 9.8 m/s x 1 m= 1,117.2 joules = 1.117 kJ
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PLEASEEEE NEED DONE TNIGHTTT
The magnitude of Jupiter's gravitational field and the acceleration due to gravity experienced by the spacecraft is 25.3 m/s².
option B is the correct answer
What is the gravitational field and acceleration due to gravity?
The magnitude of Jupiter's gravitational field and the acceleration due to gravity experienced by the spacecraft is calculated as follows;
E = Gm / r²
g = Gm / r²
where;
G is universal gravitation constantm is the mass of Jupiterr is the radius of Jupiter from the spacecraftE is the gravitational field g is acceleration due to gravityThe acceleration due to gravity experienced by the spacecraft is calculated as
g = ( 6.67 x 10⁻¹¹ x 1.898 x 10²⁷ ) / ( 8.5 x 10⁵ + 6.99 x 10⁷ )²
g = 25.29 m/s²
g ≈ 25.3 m/s²
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How does your model account for demagnetization? (magnetizing a nail that's been magnetized) Please don't take advantage of my kindness of sharing point only answer if you really know. Thanks!
How can an analogy help you build your model? Support with a claim and evidence please
The correct answers are "Heat the magnet up" and "Strike the magnet with a heavy blow".
Explanation:The domains of the permanent magnet of the magnet are aligned then the permanent magnet is magnetized. When it loses its magnetic field under some condition then it becomes Demagnetized. Demagnetization is to remove the magnetic properties from the magnet.
The permanent magnet can be demagnetized by the following ways:
By hammering or striking it.
By heating a magnet over a curie temperature.
By placing the magnet in the stronger opposite magnetic field.
Therefore, the correct option is both B and C.
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Where is Harrison's chronometer?
Harrison's chronometer is in the Flamsteed House at the Royal Observatory in Greenwich.
John Harrison was a self-taught English carpenter and watchmaker who invented the marine chronometer, a device for solving the problem of calculating latitude while at sea.
John Harrison devoted his long life to making the 5 chronometers. The most famous chronometer is the No.4 chronometer.
Harrison's clock achieved one-second accuracy in a month, far better than any clock at the time. To solve the Longitude problem, Harrison planned to design a portable clock that would keep the time in three seconds a day. This would make it far more accurate than the best watches of the time.
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Information € 3.4 SCIENCE IN ACTION ATTEMPT 1 notes to answer the following questions. Which statement is true? Choose one. 5 points O When two resistors are connected in series, there is less total current in the circuit than if the two resistors were connected in parallelO When two resistors are connected in parallel, there is less total current in the circuit than if the two resistors were connected in series. O The total current is the same regardless of if the two resistors are connected in series or in parallel.QUESTION 22 Which statement is true? Choose one.5 points O Current varies throughout a series circuit. O Current stays the same through a series circuit.
Part A) 21 The current falls whenever two transistors are linked in series because the overall resistance rises. However, if you link them in parallel, total resistance is reduced, which causes current to increase. Therefore, choice 1 is correct. In a series circuit, the current is continuous.
Part B) The right answer is that when two resistors are linked in series, less total current flows through the circuit than when they are connected in parallel.
What are resistors used for?What a resistor is. a passive electrical device that has two terminals and is employed in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.
Where do resistors get their use?The amount of current flowing through the circuit is affected by any changes in a resistance value. The following are some circuit functions where resistors are used: the musical tone's pitch, and.
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Object A has a charge of +2 µC, and object B has a charge of +6 µC. Which statement is true about the electric forces on the objects?
(a) F_AB = -3F_BA
(b) 3F_AB = -F_BA
(c) F_AB = 3F_BA
(d) 3F_AB = -F_BA
(e) F_AB = -F_BA
(f) F_AB = F_BA
B. FAB = -FBA .
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A 12 kg book is pushed from rest to a final velocity of 10 m/s. The book travels 6 m. How much force was the book pushed with?.
A 12 kg book is pushed from rest to final velocity of 10 m/s, the book was pushed with a force of 99.96 N.
What is meant by force?In physics, force is an influence that changes the motion of object. A force can cause an object with to change its velocity.
Given, Mass (m) = 12Kg
Initial velocity (U) = 0
Final Velocity (V) = 10 m/s
Distance travelled (s) = 6m
Using formula;
V² = U² + 2as
10² = 0 + 2 x a x 6
100 = 12a
a = 8.33 m/s²
As we know, F = m x a
F = 12 x 8.33
F = 99.96 N
The book was pushed with a force of 99.96 N.
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The diameter of a nickel is 21 mm .
How far from your eye must it be held so that it has the same apparent size as the moon? (Use the astronomical data inside the back cover of the textbook.)
The nickel must be placed at a distance of 2.96 meters from your eyes, in order to have the same angular size of the moon.
We can determine the distance at which the nickel must be placed in order to have the same angular size by using the tangent of the angle as before, where the adjacent is the distance between your eyes and the nickel, so we have, knowing the angular size, and knowing the diameter of the penny "the opposite".
The diameter of a nickel is 21 mm = 21 x 10⁻³
(21 x 10⁻³ / adj) = tan 9.037 x 10⁻³
adj = (21 x 10⁻³) / (tan 9.037 x 10⁻³)
= 2.96 m
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A golfer gives a ball a maximum initial speed of 32.0 m/s. What is the highest tree the ball could clear on its way to the longest possible hole-in-one?
The longest possible distance of hole-in-one is achieved when the angle of initial velocity is 45⁰ from the horizontal. The highest tree the ball could clear is 104.5 m.
The ball will undergo a projectile motion. The longest possible horizontal distance is achieved when the angle of initial velocity is 45⁰ from the horizontal.
The maximum height occurs when the vertical component of the velocity is equal to zero, or vy = 0.
The maximum height is:
h_max = vo² sin²θ/2g
Where:
vo = initial velocity = 32 m/s
θ = 45⁰
g = acceleration due to gravity = 9.8 m/s²
Hence,
h_max = 32² x (sin 45⁰)²/ (2x9.8)
h_max = 1,024 x (√2/2)²/ (2x9.8)
h_max = 1024 / 9.8 = 104.5 m
Hence, the highest tree the ball could clear is 104.5 m
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