Using the Pythagorean theorem, we can determine that the best distance for the ladder is 20 feet away from the base of the building.
The third side of this triangle is unknown, so we will apply the Pythagorean theorem to determine it. There is 25 feet of ladder available, the wall is 15 feet above the ground, the ladder must be at least that high.
In order to calculate the distance between the ladder and the building =
X = √(25^2) - (15^2)
= 20 feet
Thus, the ladder should be placed 20 feet away from the base of the building.
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Two negative charges of 42 nC are separated by 46 cm. What is the magnitude of the force acting on each object?
The magnitude of the force acting on each object is equal to 3.87 x 10-8 N.
The magnitude of the force acting on each object can be calculated using Coulomb's law, which states that the electrostatic force (F) between two point objects with charges (q1 and q2) is equal to the product of the electric constant (k) and the product of the charges divided by the square of the distance (r) between them.
Thus, the formula for calculating the force is F = k(q1q2)/r2. In this case, the charges are both -42 nC, and the distance is 0.46 m. The electric constant is 8.99 x 109 Nm2/C2. Thus, the magnitude of the force acting on each object is equal to 3.87 x 10-8 N
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1. What are the criteria for accepting a theory as a physical law?
A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.
A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.
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why are ventilations for a room put near the roof and not near the floor
Answer:
Ventilators are provided near ceilings in the rooms of our houses because the hot air is lighter and rises out of the room through the ventilators. Cool fresh air rushes into the room through the doors and windows to occupy its place.
Two speakers are driven by the same amplifier. The first speaker is placed in the origin, the second one is free to move along the x-axis (see figure). A receiver is placed on the on the y-axis, a distance L from the origin. The speakers emit sound at frequency f, the velocity of sound in the air is v. The second speaker is initially in the origin and it is the slowly moved toward the positive x-axis. Write the results in terms of L, f, and v.
a) What is the wavelength of the sound waves in the air?
b) Find the first position x of the second speaker at which the receiver does not get any sound (destructive interference).
c) Find the first position x of the second speaker at which the receiver gets maximum intensity (constructive interference). Exclude the x=0 position
The results in terms of wavelength, velocity, and frequency i.e (L,f,v) are as follow,.
(a) λ = v/f
(b) The value of the first minimum will be [tex]x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]
(c) The position for the first maxima of 2nd speaker = [tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).
(a) Relation among velocity, wavelength and frequency can be defined the expression: v = fλ
From above, we can write, (λ) (wavelength) can be equal to velocity (v) / Frequency (f)
So, λ = v/f
(b) path difference can be determined by using the expression: [tex]\Delta x=x_2-x_1 \\[/tex]
[tex]\Delta x=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]
So, for the first minimum, we can conclude the following:
[tex]$\left\{n x=\frac{d}{2}=\frac{v}{2 f}\right.$$$\frac{v}{2 f}=\sqrt{L^2+x^2}-L$$[/tex]
[tex]\left(\frac{v}{2 f}+L\right)^2 & =L^2+x^2 \\\\x^2 =\frac{v^2}{4 f^2}+L^2+\frac{v L}{f}-L^2 \\\\x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]
(c) for first order maxima
[tex]$$\begin{aligned}& \Delta x=\lambda \\& \frac{v}{f}=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]
[tex]$$\begin{aligned}x^2 & =\frac{v^2}{f^2}+L^2+\frac{2 V L}{f}-L^2 \\x & =\sqrt{\frac{v^2}{f^2}+\frac{2 v L}{f}}\end{aligned}$$[/tex]
So, the position for the first maxima of 2nd speaker will be:
[tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]
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The missing diagram is attached below:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.
When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.
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In which situation is the maximum possible work done? A. when the angle between the force and displacement is 0° B. when the angle between the force and displacement is 180° C. when the angle between the force and displacement is 45° D. when the angle between the force and displacement is 90°
As a result, the force's effort is at its greatest when there is no angle between its direction and displacement, hence option A is correct.
What is work done?According to physics, a force is an effect that has the power to change an object's motion.
A force can cause a massed item to accelerate or modify its velocity. A push or a pull is a straightforward method to explain forces. Since a force has both magnitude and direction, it is a vector quantity.
Therefore, work is therefore at its greatest when the angle between force and displacement is 0 °.
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Answer: A. when the angle between the force and displacement is 0 degrees.
Explanation:
Edmentum
A microscope slide of the letter "p" is placed on the microscope stage so that it is oriented right side up with respect to the student using the microscope. What will the letter resemble when she observes the letter through the microscope?
On the microscope slide, a specimen will appear upside-down and facing left while it is actually right-side up and facing right.
What is the orientation of a microscope?The orientation of the specimen image is reversed when viewed via a microscope compared to the orientation of the actual specimen. As a result, when viewed under a microscope, the specimen will appear to be upside-down and backwards.
Coarse Adjustment Knob: To concentrate the specimen, the coarse adjustment knob, which is placed on the microscope's arm, raises and lowers the stage. With just a partial turn of the adjustment knob, the gearing system creates a significant vertical movement of the stage.
Condenser-Objective lens-Body tube-Eyepiece is the proper order for the flow of light in a compound microscope.
Use two hands at all times when moving your microscope. Lift the scope while encircling the arm with one hand.
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A brain-imaging method using radio waves and magnetic fields of the body to produce detailed images of the brain is called __________.
Magnetic Resonance Imaging is a technique for producing precise pictures of the brain that uses radio waves and the magnetic fields of the body.
What imaging processes make use of magnetic fields and radio waves?A magnetic field and radio waves produced by a computer are used in the medical imaging procedure known as magnetic resonance imaging (MRI), which produces precise pictures of your body's organs and tissues.
Describe an MRI picture.The noninvasive medical imaging procedure known as magnetic resonance imaging, or MRI, creates precise pictures of virtually every internal bodily structure, including the organs, bones, muscles, and blood arteries. A sizable magnet and radio waves are used in MRI scanners to produce pictures of the human body.
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You have a small globe, which is mounted so that it can spin on the polar axis and can be spun about a horizontal axis (so that the south pole can be on top).
Give the globe a quick spin about the polar axis, and then, before it stops, give it a spin about the horizontal axis. Are there any points on the globe that are at rest?
(A) There are two points, fixed on the globe, that are at rest,
(B) There are two points that are instantaneously at rest, but these two points move around the globe in an apparently random fashion,
(C) At some times two points are instantaneously at rest,
(D) There are no points at rest until the globe stops spinning
A globe is a miniature replica of the planet. We can see the size, shape, and placement of continents and oceans, which is helpful.
What is used to mount a globe?A globe's stand is attached to the meridian. Latitude (coordinate) markings can be found on several meridian lines. These markings range from 0° at the equator to 90° at the north and south poles.
The Unisphere is tipped at an angle of 23.5 degrees, which corresponds to the tilt of the Earth.
The globe makes it possible to see the entire planet at a glance. Along with their latitudes and longitudes, it displays many nations, continents, and oceans. The units of latitude and longitude are degrees and minutes.
Altazimuth and Equatorial mounts are the two main categories of astronomical telescope mounts. The simplest sort of mount, known as an altazimuth (sometimes spelled alt-az), has two motions: azimuth (horizontal) and altitude (vertical).
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How does convection cause tectonic plates to move?
A
Convection keeps the plates thin enough to move.
B
Convection makes the plates solid enough to move.
C
The rising heat of convection currents moves the almost-liquid rocks.
D
The pressure of convection bends rocks until they break completely.
The plates become sufficiently stable by convection. The almost liquid rocks are moved by the convection currents' growing heat, hence option C is correct.
What are tectonic plates?Rocks flex under the pressure of convection until they entirely fracture. Radiation decay in the core causes convection currents, which are produced by heat rising and sinking inside the mantle.
In convection currents, the plates are moved. The separation of plates occurs when convection currents split close to the Earth's crust.
Therefore, the convergence of convection currents causes plates to move in the same direction.
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The amplitude of pulse A is 20cm and that of pulse B is 10 Cm what is the maximum of the resultant pulse
Answer:
The maximum amplitude of the resultant pulse would be 30 cm.
Explanation:
The maximum amplitude of the resultant pulse would be 30 cm.
The maximum amplitude of the resultant pulse would be the sum of the amplitudes of pulse A and pulse B, which is
20 cm + 10 cm = 30 cm.
This is because the maximum amplitude of the resultant pulse would occur when the two pulses are in phase, meaning they are both at their highest point at the same time.
When the two pulses are out of phase, their amplitudes will cancel each other out to some degree, resulting in a lower overall amplitude.
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If the amplitude of pulse A is 20cm and that of pulse B is 10 cm, the maximum of the resultant pulse is 30 cm.
What is amplitude?
A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.
The phenomenon of constructive interference occurs when two waves superimpose on each other in the same phase, with the resultant wave's amplitude being equal to the sum of the separate waves' amplitudes and producing the maximum amount of light.
The amplitude of pulse A is 20cm.
The amplitude of pulse B is 10cm.
Hence, the maximum of the resultant pulse is = (20 cm + 10 cm) = 30 cm.
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What is dynamic flexibility example?
Dynamic flexibility example is a swimmer may circle their arms before getting into the water.
What is dynamics flexibility?
A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.To learn more about dynamics flexibility refer to:
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Select the correct answer from each drop-down menu. steel is an alloy of . one of the main reasons steel is used more widely than iron is because it’s than iron.
Steel is an alloy of iron and carbon. One of the main reasons steel is used more widely than iron is that it’s stronger than iron.
Steel, unlike other forms of iron, is strengthened by the addition of carbon, making it more resistant to fracture. Additional components are possible or even expected. To prevent corrosion and oxidation, stainless steels typically contain an extra 11% chromium. Steel's low price and high tensile strength make it a popular material for many different types of construction, as well as for transportation, manufacturing, and defense. Cast iron is the primary component of steel. It can crystallize in either a body-centered cubic or a face-centered cubic form, depending on the temperature. Steel and cast iron are characterized by a wide variety of properties due to the interaction of iron's various allotropes with the alloying elements, most notably carbon.
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Marc’ favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of 72N to a 30cm2 cylindrical piston, which holds the 20,000N ride off the ground. What is the area of the piston that holds the ride?
The area of the piston that holds the ride is 8333,33 [tex]cm^{2}[/tex]
For hydraulic press system pressure in = pressure out
P = Pressure
F = Force
A = Area
The formula P = [tex]\frac{F}{A}[/tex]
We know F1 = 72 N, A1 = 30 [tex]cm^{2}[/tex]
F2 = 20000 N
The area of the piston that holds the ride = A2
P 1 = P2
[tex]\frac{F1}{A1}[/tex] = [tex]\frac{F2}{A2}[/tex]
[tex]\frac{72 N}{30 cm^{2} }[/tex] = [tex]\frac{20000 N}{A2}[/tex]
A2 = 20000 N : ( [tex]\frac{72 N}{30 cm^{2} }[/tex] )
A2 = ( 20000 N x 30 cm2 ) : 72 N
= 8333,33 cm2
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In pan 1, you'll spray the sand with water. In pan 2, you'll set ice cubes on the sand to melt. Predict what will happen in each pan
In pan 1, when you spray the sand with water, the water will be absorbed by the sand and the sand will become more compact and dense. This is because water molecules will fill the spaces between sand particles and increase the weight of the sand.
In pan 2, when you set ice cubes on the sand, the ice cubes will begin to melt as they come into contact with the warmer sand. As the ice melts, the surrounding sand will become wet. The meltwater will also lower the temperature of the sand around the ice cubes.
The ice cubes will continue to melt until they are fully melted, and the water will be absorbed by the sand. The wet sand will be cooler than the dry sand. This process will cause a change in the temperature and moisture content of sand which can be observed and studied.
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A 55 kg skater pushed by a friend accelerates 3 m/s2. How much force did the friend apply?
Answer: 165 N.
Explanation: To find out how much force was applied by the friend, you need to use the following formula:
F = ma where F is force, m is mass, and a is acceleration. Now we can plug in the values given.
F = 55 x 3 = 165
F = 165
The amount of force the friend applied is 165 N.
Hope this helps! :)
A person pushes a book against a wall so that the book does not move. a. Draw a free-body diagram for the book. Label the forces as you did in the tutorial Forces. b. For each force that appears on your free-body diagram, identify the corresponding force that completes the Newton's third law (or action-reaction) force pair.
If we have an unmarked magnet, how can we tell which end is the north pole of the magnet? a. Hold it near a compass and the north end of the compass points at the north end of the magnet. b. Hold it near a compass and the north end of the compass points at the south end of the magnet. c. Suspend it from a string and the end that points toward the geographic north pole (Santa's workshop) is the north end. d. Hold it near a piece of steel and the end that attracts the steel is the north end. e. The end that is attracted to the south end of a known magnet is the north end. f. The end that is attracted to the north end of a known magnet is the north end.
If we have an unmarked magnet, hold it near a piece of steel and the end that attracts the steel is the north end.
What is the magnet?
A magnet is an object made of certain materials that produces a magnetic field. This field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, and attracts or repels other magnets. Magnets are widely used throughout the world in a variety of applications, from the simple refrigerator magnet to the most advanced technologies such as MRI machines. Magnets come in many shapes and sizes and can be natural or artificial. The magnetic field of a magnet is caused by the motion of electric charges and is measured in guess.
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In a Torricelli barometer, a pressure of one atmosphere supports a 760 mm column of mercury. If the original tube containing the mercury is replaced with a tube having twice the diameter of the original, what would be the height of the mercury column at one atmosphere of pressure
After the original tube containing the mercury is replaced with a tube having twice the diameter of the original tube the height of the mercury column at one atmosphere of pressure is 760 mm.
What is the fundamental meaning of pressure?The force delivered perpendicularly to an object's surface per unit area across which this force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure represents the pressure. Pressure is expressed to use a multitude of units.
How is pressure measured?The formula for calculating pressures is P = F / A, or force per unit of the surface area. The Si system for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa).
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According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection
The law of reflection, The relationship between the angle of incidence and the angle of reflection is that they are equal.
The angle of incidence is the angle between the incoming light ray and the normal line (a line perpendicular to the surface of the reflecting material), and the angle of reflection is the angle between the reflected light ray and the normal line. When a light ray strikes a reflection surface at a certain angle, it will be reflected back at the same angle. This relationship is represented by the equation.
=> angle of incidence = angle of reflection
This relationship holds true for all types of electromagnetic waves and for all surfaces that are reflective, whether they are smooth or rough, opaque or transparent. It's important to note that this is true for regular reflection, which is defined as the reflection of light off a smooth surface. If the surface is rough, the light rays are reflected in many different directions, this is called diffuse reflection.
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The motion of particles in different states is difficult to observe. A student used computer software to represent the movement of particles in the solid state. Which type of scientific model did the student use
A simulation because it replicates a molecule's internal operation.
What causes the motion of atoms?Heat is the primary source of particle motion on Earth. The temperature of any substance is correlated with the energy of the atoms and molecules that comprise it. Energy is conserved, thus if one particle loses energy, another one acquires it.
What is the name for atomic movement?Translational motion is the term used to describe how an atom may travel from one place in space to another. Additionally, molecules composed of several atoms can vibrate because of chemical bonds, which cause the atoms to move about their equilibrium position like springs.
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What is the contribution of hydroelectric power in world electricity?
Hydroelectric power accounts for between 16 and 17 percent of global electricity production, making it one of the most significant renewable energy sources.
In 2016, hydropower contributed more than twice as much to the grid as the next largest renewable energy source, solar. Hydropower can provide many valuable services to the power grid beyond just energy generation. These include frequency regulation, voltage support, contingency reserves, load following, and black start service, all of which contribute to the reliability and safety of the power system. Hydropower's role in grid-scale energy storage, balancing services for other intermittent renewables like wind and solar power, and water management services by reservoirs are growing.
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A car moving with an initial speed v collides with a stationary car that is one- half as massive. After the collision, the first car moves moves in the same direction as before with the speed v/3. a) Find the final speed of the second car b) What type of collision is it (elastic or inelastic)
The final speed of the second car is '2v' and the collision is elastic collision.
What exactly are elastic collisions?The elastic collision is one in which the system does not experience a net loss of kinetic energy as the result of a collision. In elastic collisions, momentum & kinetic energy are both conserved.
v′ = m1v1 + m2v2 /m1+m2
v ′ = m 1 v 1 + m 2 v 2/ m 1 + m 2
in which m1 is mass of body 1, v1 is its initial speed, m2 is mass of body 2, & v2 is the final speed at which the two objects will be moving after colliding.
m1v +0 = mv/3 +m/3v2
v2 = 2v
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an object moves 15 meters in 3 seconds. what is its velocity (in m/s)?
Important Formulas:
[tex]v=\dfrac{d}{t}[/tex]
velocity(measured in m/s) = distance(measured in meters) / time(measured in seconds)
__________________________________________________________
Given:
[tex]d=15m[/tex]
[tex]t=3s[/tex]
[tex]v=?[/tex]
__________________________________________________________
Finding velocity:
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{15}{3}[/tex]
__________________________________________________________
[tex]\fbox{v = 5 m/s}[/tex]
Which of the following bodies are at thermal equilibrium when being put into contact? (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C (3) A jar of water of internal energy E at 25 °C A(1) and (2) only B(1) and (3) only C(2) and (3) only D(1), (2) and (3)
When two bodies at equal temperature are brought in contact with each other then no heat flows between them and they are said to be in thermal equilibrium.
When bodies in contact are in thermal equilibrium then they have the same?When the engine temperature eventually reaches the same level as the ambient temperature, thermal equilibrium has taken place. After being placed on the table and waiting a short while, a cup of hot tea cools to the same temperature as its surroundings.
This is where thermal equilibrium occurs. the set temperature at which all of a solid's mass melts. When the solid turns into a liquid, both the solid and the liquid coexist in the thermal equilibrium.
The individual drove himself to his location. The engine temperature was excessively high during that time, but it eventually dropped to the air temperature outside. When the engine temperature eventually reaches air temperature, thermal equilibrium has occurred.
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A(1) and (2) only of the following bodies are at thermal equilibrium when being put into contact. i.e. (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C .
What is thermal equilibrium?When two physical systems are linked by a channel permeable to heat, they are said to be in thermal equilibrium if there is no net transfer of thermal energy between them. The zeroth law of thermodynamics is observed during thermal equilibrium.As internal energy is measured in terms of the body temperature, when two bodies are in thermal equilibrium, their internal energies will also be equal.
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Which term is the rate at which work is done?
a. energy
b. power
c. joules
d. force
The rate at which work is completed is indicated by the power word, hence option b is correct. Power, which can be defined as the amount of work done W.
Is the time rate at which the job is completed or energy is given. Energy transferred, expressed as W/t or energy transferred against the time interval t. Work (or energy) per unit time, foot-pounds per minute, joules per second (or watts), and ergs per second are all ways to express power. Work is defined as involving both force applied to the body and displacement of the body. Consider a block that is resting on a horizontal, frictionless floor. A consistent force is acting on this block.
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Answer: B.) power
Explanation: Get dem hearts up:)
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is 50 J.
option A is the correct answer.
What is the work done by the lever?
A lever is a simple machine that makes work easier and faster. When a lever is used, a small effort will be used to overcome a large load.
The efficiency of a machine increases when the output force is greater than the input force.
Mathematically, the formula for the efficiency of a machine is given as;
Eff = ( output force / input force ) x 100 %
The output force is given by the following formula;
F ( out ) = load x distance moved by load
The input force is given by the following formula;
F ( input ) = effort x distance moved by effort
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 x 6 ) / ( 12 x 6 )
work = 50 J
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Answer:
600 J
Explanation:
The work is not equal to the initial work divided by the effort arm.
What are the similarities and differences between static stretching and ballistic stretching?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
21 An antiaircraft shell is fired vertically upward with a muzzle velocity of 1000 ms-¹. Calculate the maximum height it can attain, the time taken to reach this height, the instantaneous velocities at the ends of 20 sec and 50 sec. d. When will its height be 37.5 km? Interprete your result. Neglect air resistance. a. b. C.
A mass of 1.5 kg moves in a circle of radius 25 cm at 2.0 Hz. Calculate:
a) the velocity. b) the acceleration. c) the centripetal force acting on the mass.
Answer:
To solve this problem, you can use the following formulas:
Velocity (v) = 2πr * f
Acceleration (a) = v^2 / r
Centripetal force (F) = ma
In these formulas, r is the radius of the circle, f is the frequency of the circular motion, and m is the mass of the object.
a) To find the velocity of the mass, you can substitute the values given into the formula for velocity:
v = 2πr * f
= 2π(0.25 m) * 2.0 Hz
= 1.57 m/s
So, the velocity of the mass is approximately 1.57 m/s.
b) To find the acceleration of the mass, you can substitute the values given into the formula for acceleration:
a = v^2 / r
= (1.57 m/s)^2 / 0.25 m
= 4.45 m/s^2
So, the acceleration of the mass is approximately 4.45 m/s^2.
c) To find the centripetal force acting on the mass, you can substitute the values given into the formula for centripetal force:
F = ma
= 1.5 kg * 4.45 m/s^2
= 6.68 N
So, the centripetal force acting on the mass is approximately 6.68 newtons.