The resultant force subtracts the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.
In physics, the resultant force is the net force acting on an object, which takes into account all the individual forces acting on the object. When multiple forces act on an object, they can either reinforce or oppose each other. The resultant force is the sum of all these individual forces, taking into account both their magnitudes and directions.
Mathematically, the resultant force can be found by using vector addition. Each force acting on an object can be represented as a vector with its magnitude and direction, and the resultant force is the vector sum of all these forces. If the resultant force is non-zero, it will cause the object to accelerate in the direction of the force.
The concept of the resultant force is important in many areas of physics, including mechanics, electromagnetism, and fluid dynamics. Understanding the resultant force is crucial in predicting and explaining the motion of objects, and it is a fundamental concept in the study of physics.
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how can you memorise laws
Prior to an exam, it is customary for you to read the relevant legal texts, repeat them out to yourself, and then pray that no one from your town remembers you when you are in the exam room.
What is law?The exact meaning of law is up for debate, but it is generally understood to be a set of regulations that are made and enforced by social or governmental institutions to control behavior. It has been called both a science and the practice of justice in diverse contexts.
A law is a behavior guideline or set of behavior guidelines that the majority of people believe to be appropriate and significant for moral, religious, or emotional reasons.
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a. jack and jill ran up a hill. jack is twice as massive as jill; yet jill ascends the same distance in half the time. who did the most work?
Power is the rate of energy conversion or transmission over time in physics. The SI system, often known as the International System of Units, uses the Watt as its unit of power (W).
One watt is equal to one joule per second. In certain studies, power used to be referred to as activity. Power is a scalar quantity. Power is always a function of work completed, therefore if a person's output changes during the day based on the time of day, so will his power.
Power is a numerical representation of the speed at which energy is transported. It may thus be defined as the rate of task completion in relation to time.
So The Jack went further.As a result, Jack put in more effort than Jill, but Jill is just as powerful as Jack.
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For the normal force in the figure to have the same magnitude at all points on the vertical track, the stunt driver must adjust the speed to be different at different points. Suppose, for example, that the track has a radius of 3.6 m and that the driver goes past point 1 at the bottom with a speed of 17 m/s. What speed must she have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom?
The speed she must have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom is 19 m/s.
What is the speed of the driver?
The speed she must have at point 3, so that the normal force at the top has the same magnitude as it did at the bottom is calculated as follows;
mv₁²/r + mg = mv₃²/r - mg
v₁²/r + g = v₃²/r - g
v₃² - rg = r ( v₁²/r + g )
v₃² = v₁² + rg + rg
v₃² = v₁² + 2gr
v₃ = √ ( v₁² + 2gr )
where;
v₃ is the speed at point 3r is the radius of the pathg is acceleration due to gravityv₃ = √ ( 17² + 2 x 9.8 x 3.6)
v₃ = 19 m/s
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A 12.5 kg ball moving to the right at 4 m/s strikes a 10 kg ball at moving at 2m/s to the left. After the collision the 12.5 kg ball is moving with a velocity of 1.6 m/s to the left and the 10kg ball moving at 5 m/s to the right . Is momentum conserved? Show your calculations on a half sheet of paper, then explain your thinking here.
The momentum is conserved as shown by the calculation
How is momentum conserved?Momentum is conserved according to the law of conservation of momentum, which states that the total momentum of a closed system remains constant, unless acted upon by an external force. In other words, the momentum of an isolated system of objects is constant, as long as no net external force is applied. This means that if two objects collide, the total momentum of the system before the collision will be equal to the total momentum of the system after the collision.
We know that;
Momentum before Collison = Momentum after Collison
Thus we have that;
Momentum before Collison
(12.5 * 4) + (10 * 2) = 50 + 20 =70 Kgm/s
Momentum after collision;
(12.5 * 1.6) + (10 * 5) = 20 + 50 = 70 Kgm/s
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Problem 5
A 300 kg pig is standing at the top of a muddy hill on a rainy day. The hill is 30 m high.
A. What is the total initial energy of the pig?
B. Half way down the hill what is the KE of the pig?
C. What is the pigs speed half way down the hill?
Mass of pig,
m=430 kg
Length of hill,
L=100m
Vertical drop,
h=37.4 m
By the law of conservation of mechanical energy we have
m(g)h=1/2mv²
417×9.8×37.4=0.5×417v²
v=27.1m/s
What is energy?
Increase your consumption of foods that will help you build more muscle and stronger bones. Common types of energy include the kinetic energy of a moving object, potential energy stored by an object (for instance because of its location in a field), elastic energy present in solid objects, chemical energy linked to chemical reactions, radiant energy carried by electromagnetic radiation, and internal energy present within a thermodynamic system.
All living things constantly use and expend energy. Any stationary object that has mass (referred to as rest mass) also has an equivalent amount of energy (referred to as rest energy), as well as any additional energy. This is referred to as mass-energy equivalence.
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two vehicles with equal magnitudes of momentum traveling at right angles to each other undergo an inelastic collision. the magnitude of momentum for the combined wreck is
The magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.
What is meant by magnitude of momentum?
The magnitude of momentum is a scalar quantity that describes the amount of motion an object has. It is defined as the product of an object's mass and velocity, and is a measure of how difficult it is to stop an object or change its velocity. The magnitude of momentum is a scalar quantity and is always positive.
In an inelastic collision, the total momentum of the two vehicles is conserved, but the kinetic energy is not. This means that the magnitude of the total momentum of the two vehicles before the collision is equal to the magnitude of the total momentum of the combined wreck after the collision.
Let's call the magnitude of the momentum of each vehicle before the collision "p". Then, the total momentum before the collision is 2p. After the collision, the combined wreck will have a single velocity, which we can call "v". The magnitude of the momentum of the combined wreck will be equal to the mass of the combined wreck multiplied by the magnitude of its velocity, which we can represent as mv.
Since the total momentum is conserved, we have:
2p = mv
where m is the total mass of the combined wreck.
So, the magnitude of the momentum for the combined wreck is equal to 2p, which is equal to the magnitude of the momentum of each vehicle before the collision.
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assume all pulleys are massless and frictionless, and the systems are in equilibrium. find the tension t. the acceleration due to gravity is 9.8 m/s 2
The tension in each pulley would be is 74.96 N.
What is pulley system?A pulley system is a type of mechanical device that uses pulleys to lift or move heavy objects. It consists of two or more pulleys, a belt or cable, and a motor or hand-operated force. The pulleys are connected with a belt or cable that passes over them, creating a loop.
The tension in a pulley system can be found using the equation:
T = m * g * (sin θ1 + sin θ2)
where m is the mass of the hanging object, g is the acceleration due to gravity (9.8 m/s2 in this case), and θ1 and θ2 are the angles of the pulleys.
So to find the tension, we need to know the mass of the object and the angles of the pulleys. If the system is in equilibrium, then the tension in the two pulleys must be equal, so we can set the tension to be equal to the same value in each pulley.
Once we know the mass of the object and the angles of the pulleys, we can solve for the tension in each pulley using the equation above.
For example, if the mass of the object is 10 kg, and the angles of the pulleys are 30° and 45°, then the tension in each pulley would be:
T = 10 kg * 9.8 m/s2 * (sin 30° + sin 45°)
T = 74.96 N
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when a star travels from a position above the observer's horizon to a position below the observer's horizon, is that star rising or setting?
When a star travels from a position above the observer's horizon to a position below the observer's horizon, the star is setting. As the star's position changes relative to the observer, its angular altitude changes as well. When the star's angular altitude reaches 0°, it is said to be at the horizon, and when its angular altitude decreases below 0°, it is said to have set.
The setting of a star occurs when the star's light takes longer to reach the observer than the rotation of the Earth. This is because, as the Earth rotates, the star moves in relation to the observer and its light is blocked by the Earth. As the star moves out of the observer's line of sight, its angular altitude drops below 0° and it is said to have set.
The setting of a star can be observed in the night sky. As the star moves closer to the horizon, its angular altitude decreases and its light appears dimmer. Eventually, when the star is below the horizon, it will no longer be visible in the night sky. This phenomenon is known as astronomical twilight.
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a spectrometer uses a grating with 12300 lines/cm. find the angle at which red light, 634.3 nm, has the first-order bright band.
The angle at which the red light has the first-order bright band is 0.053 degrees.
The diffraction angle for red light with a wavelength of 634.3 nm can be found using the formula:
[tex]\theta = sin^-1 (n\lambda/L)[/tex],
where n is the order of diffraction (1 for first-order), λ is the wavelength, and L is the number of lines per centimeter.
Therefore,
n = 1
λ = 634.3 nm = 634.3 * 10^(-9) m
L = 12300 lines/cm = 12300 * 10^(-2) lines/m
Plugging in the values, we get:
[tex]\theta = sin^-1 (1 * 634.3 * 10^{-9} / (12300 * 10^{-2} ))[/tex]
Converting the result from radians to degrees gives us approximately 0.053 degrees.
This is the angle at which the first-order bright band for red light will occur in the spectrometer using a grating with 12300 lines/cm.
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Help please!!! In what two ways does deforestation contribute to air pollution?
Answer: Deforestation fires, Lowers the amount of oxygen in the atmosphere.
Explanation:
In a lot of places they will cut down trees with heavy machinery which produce a lot of gases such as Carbon Monoxide, now in little scale thats okay. However many places do it to such a scale that there is almost 200 forest fires a day. Each fire lowers the amount of trees but increases air pollution.
Change the speed 6 m/s into km/hr
Answer:
For changing the speed from m/s to km/h we just have to multiply the number with
18
5
So,
Here speed given is 6 m/s
To convert it into km/h =
6
×
18
5
=
21.6
km/h
Hence the correct answer is 21.6 km/h
a peregrine falcon in a tight, circular turn can attain a centripetal acceleration 1.5 times the free-fall acceleration. if the falcon is flying at 20 m/s, what is the radius of the turn?
In a tight, circular turn, a peregrine falcon can reach a centripetal acceleration that is 1.5 times the acceleration of free fall. The turn's radius is 27.183 m if the falcon is traveling at 20 m/s.
The free-fall accel is just g.
The centripetal accel = 1.5*g = v²/r.
Solve for r.
r = v²/1.5g = 27.183 m
How rapidly a velocity varies in proportion to time is measured as acceleration.
It is a vector quantity. As well as being the second derivative of position with respect to time, it is also the first derivative of velocity with respect to time.
When compared to displacement and velocity, acceleration is like the fierce, fire-breathing dragon of motion variables. Some people are scared of it, it may be harmful, and if it's big, it makes you pay attention. When you're travelling in a vehicle or go-kart rounding a bend quickly or when you're in an aircraft taking off, you can feel your own acceleration.
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Help please!!!!! How does ozone form from vehicle exhaust?
Answer: NOx and VOC combine chemically with oxygen to form ozone
Explanation:
how long does it take rick to cover the distance d ? express the time taken by rick in terms of vr , vw , and d g
Time taken by Rick to cover a distance d can be expressed in terms of his rates of running and walking, as well as the gravitational acceleration, and will depend on the specific conditions of the distance being covered.
Assuming that Rick runs a distance of d at a constant speed of vr and walks the same distance at a speed of vw, the total time taken can be :
[tex]t = (d/vr) + (d/vw)[/tex]
if the distance d is vertically upward, such as climbing a flight of stairs, formula will need to be adjusted to account for the work done against gravity.
[tex]t = (d/vr) + (sqrt(2d/g) + (d/vw)[/tex]
This formula adds the time taken to climb the distance against gravity, which is [tex]sqrt(2d/g),[/tex] to time taken to run and walk the distance.
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a ball is dropped from a cliff and is accelerateing toward the earth in free fall. how long will it take the ball to reach a velocity of 24.5 m/s
The time it will take for the ball to achieve this velocity is calculated using this phrase, where stands for the ball's final velocity.
A fundamental idea in physics, velocity is the rate at which an object's position changes over time. It is a vector quantity that takes into account an object's motion's amplitude and direction. Different units, such as metres per second (m/s) or kilometres per hour (km/h), can be used to describe velocity. The measurement of an object's movement that incorporates both speed and direction of motion is called velocity. Velocity is a fundamental concept in several scientific disciplines, including mechanics, astrophysics, and fluid dynamics. It also has numerous real-world applications in engineering, transportation, and athletics.
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Explain how the mass of a planet affects the motion of the planet around the sun? Justify your response in two or more
complete sentences in the essay box below.
The mass of a planet affects the motion of the planet around the sun through the force of gravity.
How does mass affect motion of planets?According to Newton's law of universal gravitation, every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The greater the mass of a planet, the stronger its gravitational pull and the more it affects the motion of other celestial objects in its vicinity, including its own orbit around the sun.
In summary, the mass of a planet is a crucial factor that determines its motion around the sun, as it affects the strength of the gravitational forces acting on the planet and its orbit.
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what type of unconformity is shown in the image? multiple choice question. isotopic unconformity disconformity angular unconformity nonconformity
angular unconformity is a type of unconformity shown in image.
A significant gap in the stratigraphic record caused by a prolonged pause in deposition is known as an unconformity. The majority of unconformities are the result of relative uplift, which results in some of the previously established record being eroded. These gaps can be seen everywhere sedimentary sequences have been analyzed. The magnitude of the missing intervals ranges from a chronozone to entire eras. The time represented on a specific unconformity surface varies laterally, and unconformities are typically regional in scope.
When horizontally parallel sedimentary rock strata are deposited over tilted and eroded layers, the resulting angular discordance with the horizontal layers is known as an angular unconformity.
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Question:
what type of unconformity is shown in the image
isotopic unconformity
disconformity
angular unconformity
nonconformity
Two planets are approximately a million miles away from each other. What force would be stronger between the two planets, the gravitational force or the electrical force?answer choicesThe forces would be the same.The gravitational force would be stronger.The electrical force would be stronger.Would vary depending on the orbital path.
The gravitational force would be stronger. Gravitational force is a much stronger force than electrical force and is usually the dominant force between two objects.
The gravitational force between two objects is proportional to the product of the masses of the two objects divided by the square of the distance between them. Since the distance between the two planets is a million miles, the gravitational force between them would be much greater than any electrical force that could exist between them.Gravitational force is the force of attraction between two objects that have mass. It is one of the four fundamental forces of nature, and it is the weakest of the four forces. The strength of the gravitational force between two objects depends on their mass and the distance between them.
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A 1 kg ball is held motionless above the ground and then released. At impact, it was traveling at 5.50 m/s. How much potential energy did it have before it was released?
Group of answer choices
5 J
12.7 J
15.1 J
9.2 J
Potential energy of the ball before it was released is 15.1 Joule. Hence, option (C) is correct
What is energy?Energy, which is observable in the execution of labour as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.
Energy is a preserved resource; energy can only be transformed from one form to another and cannot be created or destroyed.
From the law of conservation of energy:
Potential energy before released = kinetic energy during impact
Hence, Potential energy before released = 1/2 × 1 × 5.50² Joule
= 15.1 Joule.
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A micrometeor has a mass of 0.005 grams. When it enters Earth's atmosphere, it travels at 21,000 meters per second. What is its kinetic energy when it enters Earth's atmosphere? KE=1/mv² (1 point) O 0.0525 J O 1,102.5 J O 1,102,500 J O 2,205 J E
Help me please
The kinetic energy of the micrometeor, given it has a mass of 0.005 grams and enters the Earth's atmosphere with a velocity of 21000 meters per second is 1102.5 Joules
How do I determine the kinetic energy of the micrometeor?The following data were obtained from the question:
Mass of micrometeor (m) = 0.005 g = 0.005 / 1000 = 0.000005 KgVelocity of micrometeor (v) = 21000 meters per secondKinetic energy of micrometeor (KE) =?The kinetic energy of the micrometeor can be obtained as follow:
KE = ½mv²
KE = ½ × 0.000005 × 21000²
KE = 1102.5 Joules
Thus, from the above calculation made above, it is very clear that the kinetic energy of the micrometeor is 1102.5 Joules
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Answer:
(Question 1) Terry kicks a soccer ball that is sitting motionless on the field. What is the best description of the energy transfer?
(Answer) Kinetic energy is transferred from Terry’s foot to the soccer ball.
(Question 2) Which of the following scenarios best shows the transfer of kinetic energy?
(Answer) a baseball bat strikes a baseball
(Question 3) A bowling ball is traveling at 7.6 meters per second when it hits a pin. If the bowling ball has a mass of 6 kilograms, how much kinetic energy does it have when it hits the pin?
(Answer) 173.28 J
(Question 4) What happens when a tennis racket hits a ball?
(Answer) Kinetic energy is transferred from the racket to the ball.
(Question 5) A micrometeor has a mass of 0.005 grams. When it enters Earth’s atmosphere, it travels at 21,000 meters per second. What is its kinetic energy when it enters Earth’s atmosphere?
(Answer) 1,102.5 J
Explanation:
I just did the quick check
you are playing baseball alone practicing your catching technique. you throw the ball up into the air and catch it after 5 seconds have passed. how fast did you throw the ball initially physics
To calculate the initial speed of the ball, you can use the equation v = s/t, where v is the velocity of the ball, s is the distance the ball traveled, and t is the time it took for the ball to travel that distance.
In this case, the ball traveled a distance of 9.8 meters (the height of the ball when first thrown, plus the height of the ball when it was caught) in 5 seconds, so the initial velocity of the ball would be 9.8 meters/5 seconds, or 1.96 m/s.
Initial speed is the speed of an object at a specific point in time. It is typically represented by the letter 'u' or 'v'. For example, if an object is thrown with an initial speed of 30 m/s, its speed at time t = 0 is 30 m/s.
Initial speed can also be used to calculate the average speed of an object over a period of time. For example, if an object moves at a speed of 10 m/s for 5 seconds and then has a speed of 20 m/s for another 5 seconds, its average speed over the 10 second period is 15 m/s.
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a 60 kg college student walks at a speed of 6.5 km/hour. calculate the wavelength (in meters) and the kinetic energy (in joules) of this student.
The kinetic energy of the student who walks at a speed of 6.5 km/hour is 81.33 J.
The wavelength of the student cannot be calculated as the concept of wavelength only applies to waves, such as sound waves or light waves. It is not applicable to a moving object such as a college student.
The kinetic energy of the student can be calculated using the formula
KE = 0.5 * m * [tex]v^2[/tex]
where m is the mass of the student and v is their velocity. Converting the velocity from km/hr to m/s, we have
v = 6.5 * 1000 / 3600 = 1.8056 m/s.
Plugging in the mass and velocity, we get
KE = 0.5 * 60 kg * [tex](1.8056 m/s)^2[/tex] = 81.33 J.
So the kinetic energy of the student is 81.33 J.
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In a dry desert environment, the climate will typically show wide temperature swings on a daily basis, from very cold to very hot. Florida
typically has much smaller temperature swings. What causes that difference?
O a
O b
C
Od
The water surrounding Florida
The lower altitude of Florida
Increased sunshine in Florida
The shorter daylight period in the desert
The main cause of the difference in temperature on a daily basis is because of the water surrounding the Florida.
What is temperature?The average thermal energy of the particles in a substance is measured by its temperature. It is a way to express how hot or cold an object is in relation to a reference point, typically a standard temperature scale like Celsius or Fahrenheit. It reflects the heat content of a body.
Florida's proximity to huge bodies of water, which have a moderate impact on the temperature, is mostly to blame for the difference in temperature swings between Florida and a dry desert climate. The water steadily absorbs heat and releases it, lowering temperature swings and fostering a more stable atmosphere. Florida also has a lower altitude than most other states, which helps to stabilize its temperature. Temperatures in Florida are kept warmer in part by the state's increasing sunshine. The larger temperature variations in the desert may also be a result of the shorter daylight hours, as the daytime temperatures can get quite hot and the overnight temperatures can go very low.
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a woman walks a distance of 360 m with an average speed of 1.6 m/s. what time was required to walk this distance?
For a woman walks a distance of 360 m with an average speed of 1.6 m/s, the time taken is 3.75 minutes.
The formula for time is given as [Time = Distance ÷ Speed].
It can be measured in terms of seconds, minutes, hours, days, weeks, months, and years. SI unit for time is seconds.
Speed describes the distance travelled divided by the time taken to cover the distance.
The distance is 360 m.
The speed is 1.6 m/s.
Time is distance/speed.
Time = 360/1.6
Time = 225 seconds.
Time is 3.75 minutes.
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The mass of cube is 0.44kg
(c) On the Moon, the weight of the cube is 0.70 N. Calculate the gravitational field strength on the Moon.
Answer:
the gravitational field strength on the moon is 28 m/s^2.
Explanation:
The weight of an object is given by the product of its mass and the gravitational field strength at its location. Therefore, we can use the weight of the cube on the moon and its mass to find the gravitational field strength on the moon.
We know that the weight of the cube on the moon is 0.70 N. We can also use the formula for weight, which is:
Weight = Mass x gravitational field strength
Let's call the gravitational field strength on the moon "g_moon". We can write the equation as:
0.70 N = mass of cube x g_moon
We also know the mass of the cube is 0.025 kg.
Substituting this value into the equation, we get:
0.70 N = 0.025 kg x g_moon
Solving for g_moon, we get:
g_moon = 0.70 N / 0.025 kg
g_moon = 28 m/s^2
Therefore, the gravitational field strength on the moon is 28 m/s^2.
part 1 of 2 An ideal gas is compressed to half its original volume while its temperature is held con-stant. If 758 J of energy is removed from the gas during the compression, how much work is done on the gas? Answer in units of J.
The work done on the ideal gas is 758 joule.
What is internal energy?The amount of energy required to move a thermodynamic system from its initial internal state to the current internal state of interest, accounting for energy gains and losses resulting from changes in the internal state, including factors like magnetization, is the amount of internal energy in the system.
As the decrease in internal energy is 758 Joule but the temperature of the ideal gas does not change, total work done is = total loss in internal energy = 758 joule.
Hence, the work done on the ideal gas is 758 joule.
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a positively charged metal ball a is placed near metal ball b. measurements demonstrated that the force between them is zero. explain how this happens.
While ball B is a metal ball, ball A is a non-metallic, negatively charged ball. Given: A minor positive charge on a ball called B.
What is magnitude example?Size is referred to as magnitude. A car is moving more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. In terms of motion, it describes the absolute or relative size or direction that an object travel.
Why do we measure magnitude?Scale of Earthquake Power This explains that while there are significant differences in strength (energy) between small and large quakes, the size (amplitude) differences between them are still significant.
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felescope a's mirror has three times the diameter of telescope b,s. \-' how much greater is as light-gathering power?
The light gathering power of Telescope A is 9 times greater than that of B. Option D is the correct answer.
This means that even stars too faint to be detected by the eye can easily be 'brightened' by the telescope so that they are easy to detect and study. Light Gathering Ability is the property of an optical system that tells you how much brighter things will appear than what the human eye can see.
Light gathering power of telescope is proportional to the square of diameter of telescope. The diameter of telescope a is 3 times than that of telescope b.
[tex]\dfrac{P_a}{P_b} = \dfrac{d_a^2}{d_b^2}[/tex]
[tex]\dfrac{P_1}{P_2} = \dfrac{3d_2^2}{d_2^2}\\\dfrac{P_1}{P_2} = 9[/tex]
The light gathering power is 9 times that of telescope b.
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--The complete question is, Telescope A's mirror has three times the diameter of telescope B's. How much greater is A's light-gathering power?
A 3 times.
B 6 times
C 8 times.
D 9 times
E 27 times.--
An 800 N person is lifted a distance of 75 cm. Calculate the amount of work done in Joules.
Show your work. Include proper units in your answer.
The work done on lifting a person who weigh 800N to a distance of 75cm is 600J.
Given the weight of person (F) = 800N
The distance person is lifted to is (x) = 75cm
The work done on lifting the person = W
When a force is applied to an object, work is done on it. Work is the amount of energy required to move an object over a certain distance. When a force is applied to an object, the object is displaced, and the work done is equal to the amount of energy required to move the object from its original position to its new position. Mathematically, work is defined as W = Fd, where F is the force and d is the displacement.
W = 800 x 0.75 = 600J
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a parallel-plate capacitor is charged by a battery and then disconnected. what will happen to the charge on the capacitor and voltage across it if the separation between the plates is decreased and the area is increased?
If the separation between the plates is decreased and the area is increased, the capacitance of the capacitor will increase, and the voltage across the capacitor will decrease.
What is voltage?
Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit charge in an electrical system. It is commonly denoted as "V" and is expressed in volts (V). The voltage difference between two points in an electrical circuit represents the energy required to move a unit of electric charge from one point to the other.
When a parallel-plate capacitor is charged by a battery and then disconnected, the charge on the capacitor remains constant. This is because the charge is stored on the plates and does not change until the capacitor is connected to a circuit.
If the separation between the plates is decreased, the capacitance of the capacitor increases. This means that the voltage across the capacitor decreases, as the formula for capacitance, C = Q/V, shows that if the charge, Q, is constant, then the voltage, V, decreases as the capacitance increases.
If the area of the plates is increased, the capacitance of the capacitor also increases. This means that the voltage across the capacitor decreases, as the formula for capacitance, C = εA/d, shows that the capacitance is proportional to the area of the plates, A.
In summary, if the separation between the plates is decreased and the area is increased, the capacitance of the capacitor will increase, and the voltage across the capacitor will decrease.
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