A 2.2-kg block is released from rest at the top of a frictionless incline that makes an angle of 40° with the horizontal. Down the incline from the point of release, there is a spring with k = 280 N/m. If the distance between releasing position and the relaxed spring is L = 0.60 m, what is the maximum distance which the block can compress the spring?
Answers
A 2.2-kg block is released from rest at the top of a frictionless incline that makes an angle of 40° with the horizontal. the maximum distance the block can compress the spring is approximately 0.181 m.
To find the maximum distance the block can compress the spring, we need to consider the conservation of mechanical energy.
The block starts from rest at the top of the incline, so its initial potential energy is given by mgh, where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the incline. The height h can be calculated using the angle of the incline and the distance L:
h = L*sin(40°)
Next, we need to find the final potential energy of the block-spring system when the block compresses the spring to its maximum extent. At this point, all of the block's initial potential energy is converted into elastic potential energy stored in the compressed spring:
0.5kx^2 = mgh
Where k is the spring constant and x is the maximum compression distance.
Solving for x, we have:
x = sqrt((2mgh) / k)
Substituting the given values:
x = sqrt((2 * 2.2 kg * 9.8 m/s^2 * L * sin(40°)) / 280 N/m)
Calculating the value:
x ≈ 0.181 m
Therefore, the maximum distance the block can compress the spring is approximately 0.181 m.
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Related Questions
A plane is traveling at 300 m/s how far will it travel in 1 hour
Answers
Answer:
1080000
Explanation:
300 x 60s=18000m/minute
18000 x 60min=1080000m/h
6. [5 points] During an adiabatic expansion the temperature of 0.450 mol of argon (Ar) drops from 50 °C to 10 °C. By treating the argon as an ideal gas, (a) Draw a pV-diagram for this process (supply sufficient information in the diagram). (b) How much is the work done by the gas? (c) What is the change in internal energy of the gas? Is it increased or decreased?
Answers
(a) The pV-diagram would show a decrease in pressure and an increase in volume.
(b) The work done by the gas can be calculated using the area under the pV-curve.
(c) The change in internal energy is equal to the negative of the work done by the gas.
(a) The pV-diagram for the adiabatic expansion of 0.450 mol of argon from 50 °C to 10 °C would show a decrease in pressure and an increase in volume. In an adiabatic process, there is no heat exchange with the surroundings. As the gas expands, it does work against an external pressure, resulting in a decrease in pressure and an increase in volume. The pV-diagram would depict an upward-sloping curve, representing the expansion. The initial state would be represented by a point on the diagram, corresponding to the initial temperature and volume, while the final state would be represented by another point, reflecting the final temperature and volume.
(b) The work done by the gas can be calculated by finding the area under the pV-curve on the diagram. In an adiabatic process, the magnitude of the work done is given by the equation: Work = (P2V2 - P1V1) / (γ - 1). Here, P1 and V1 represent the initial pressure and volume, P2 and V2 represent the final pressure and volume, and γ is the heat capacity ratio for the gas. To determine the exact work done, we would need the specific value of γ for argon.
(c) The change in internal energy of the gas can be determined using the First Law of Thermodynamics. The equation ΔU = Q - W relates the change in internal energy (ΔU) to the heat added to the system (Q) and the work done by the system (W). In an adiabatic process, where there is no heat exchange (Q = 0), the change in internal energy is equal to the negative of the work done by the gas. Therefore, as the gas expands adiabatically, the work done by the gas will result in a decrease in internal energy.
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if a gas is compressed isothermally, which of the following statements is true?
Answers
If a gas is compressed isothermally, the following statement that is true is the internal energy of the gas remains constant.
Isothermal compression occurs when the temperature of the gas remains constant during the process. According to the ideal gas law (PV=nRT), when the pressure (P) and volume (V) of the gas change, the temperature (T) remains constant. Since the internal energy of an ideal gas depends solely on its temperature, it remains constant during an isothermal process.
In this process, the work done on the gas increases its pressure while decreasing its volume, but the temperature does not change. As the energy input is utilized to perform work, the gas's internal energy remains the same. This constant internal energy is crucial in understanding the behavior of gases during isothermal processes and helps explain the relationship between pressure, volume, and temperature in ideal gas law. So therefore if a gas is compressed isothermally, the correct statement is the internal energy of the gas remains constant.
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which of the following containing same amount of boiling hot water is likely to cool first and why? a. a breaker whose surface is covered with aluminum foil b. a breaker whose surface is painted black
Answers
What is the IMA of the following pulley system?
Answers
Answer ideal mechanical advantage
In the smartfigure’s typical tidal curve for a bay, how many high and low tides are in one lunar day?
Answers
There are two high and two low tides in one lunar day. This is because the Earth rotates through two tidal bulges every lunar day.
The tidal bulges are caused by the gravitational pull of the moon. The moon's gravitational pull is strongest on the side of the Earth that is closest to the moon, and weakest on the side of the Earth that is farthest from the moon. This causes the oceans to bulge out on both sides of the Earth, creating high tides. The low tides occur in between the high tides.The time between high tides is about 12 hours and 25 minutes. This is because it takes the Earth about 24 hours and 50 minutes to rotate once on its axis. However, the moon also takes about 24 hours and 50 minutes to orbit the Earth. This means that the Earth rotates through two tidal bulges every time the moon completes one orbit.
The number of high and low tides can vary slightly depending on the location of the bay. For example, bays that are located in the open ocean tend to have more frequent tides than bays that are located in the middle of a landmass. This is because the open ocean is more affected by the gravitational pull of the moon.
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A ray of light strikes a plane mirror \( 45^{\circ} \) with respect to the normal. What is the angle of reflection? Carefully explain your answer (5 points).
Answers
The angle of reflection is 45 degrees. When a ray of light strikes a plane mirror, the angle of incidence (the angle between the incident ray and the normal to the mirror) is equal to the angle of reflection (the angle between the reflected ray and the normal to the mirror). This phenomenon is described by the law of reflection.
In the given scenario, the ray of light strikes the plane mirror at an angle of 45 degrees with respect to the normal. According to the law of reflection, the angle of incidence and the angle of reflection are equal. Therefore, the angle of reflection will also be 45 degrees.
To understand why this is the case, consider the geometry of the situation. The incident ray and the reflected ray lie in the same plane as the normal to the mirror. The angle between the incident ray and the normal is 45 degrees. Since the angle of reflection is equal to the angle of incidence, the reflected ray will make the same 45-degree angle with the normal.
This phenomenon can be observed by performing an experiment where a light beam is directed towards a mirror at a 45-degree angle. The reflected beam will bounce off the mirror at the same 45-degree angle with respect to the normal.
In conclusion, when a ray of light strikes a plane mirror at a 45-degree angle with respect to the normal, the angle of reflection will also be 45 degrees. This is due to the law of reflection, which states that the angle of incidence is equal to the angle of reflection.
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Which energy changes take place when a pedaling cyclist uses a generator (dynamo) to light his bicycle
lamp?
Answers
When the pedaling cyclist uses a generator (dynamo) to light his bicycle lamp, the energy change is from mechanical to electrical.
Law of conservation of energyThe law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
Thus, we can conclude the following as it relates to energy changes;
When the pedaling cyclist uses a generator (dynamo) to light his bicycle lamp, the energy change is from mechanical to electrical.Learn more about conservation of energy here: https://brainly.com/question/166559
The conductivity of water can be increased by adding .
Answers
Explanation:
The conductivity of water can be increased by adding any solute that increases the number of ions in solution.
Hope this helps you.. Good luck
The conductivity of water can be incrased by adding to it anything that disolves and ionizes in it.
Examples:
-- sugar
-- coffee
-- tea
-- artificial sweetener
-- baking soda
-- orange juice
-- corn starch
-- salt
What is the net force acting upon this object? *
3N : to the left
5 N : to the right
Answers to choose from:
2 N Right
BN
2 N Left
5 N Right
Answers
2 N Right
.. .. .. .. .. .. .. ..
Answer:
2 N Right
Explanation:
Net force = 5 - 3
= 2 N to the Right
6. Which is a characteristic of the observant function?
O A. Empathizing with others
O B. Feeling drained from social situations
O C. Making decisions based on what feels right
O D. Focusing on the present
Answers
Focusing on the present is a characteristic of the observant function.
What is an Observant personality trait?This trait is characterized by people who pay much attention to themselves more than others.
This type of people focus on the present and ensure things are done without procrastination. This depicts the option D which makes it the most appropriate choice.
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How does the use of H II regions to find a galaxy's distance differ from the use of Cepheid variables
Answers
The use of H II regions and Cepheid variables to find a galaxy's distance differs in that H II regions are used for more distant galaxies, while Cepheid variables are used for closer ones due to their higher brightness and more predictable period-luminosity relationship.
What is galaxy?A galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust, and dark matter, and often has a supermassive black hole at its center.
What is H II regions?H II regions are large, low-density clouds of ionized gas in the interstellar medium, usually found in the spiral arms of galaxies, and powered by high-energy photons from nearby hot, young stars.
According to the guven information:
The use of H II regions to find a galaxy's distance differs from the use of Cepheid variables in a few ways. H II regions are areas of ionized gas surrounding newly formed hot stars, and their brightness can be used to estimate the galaxy's distance. However, this method is less accurate than using Cepheid variables. Cepheid variables are pulsating stars that have a known period-luminosity relationship, meaning their brightness is directly related to their pulsation period. By measuring the period of a Cepheid variable, astronomers can accurately determine the distance to a galaxy. This method is considered more reliable than using H II regions, as Cepheid variables have a well-established relationship between their period and luminosity. Additionally, Cepheid variables can be used to determine distances to much greater distances than H II regions, making them a more versatile tool for studying the universe.
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A bullet is accelerated in the muzzle of a gun from rest to 150 m/s in 0.50sec. What is the acceleration?
Answers
Answer:
Bullets are cylindrical metal projectiles shot from firearms. Their main function is to kill or otherwise incapacitate. They come in numerous varieties for use in handguns, rifles, and machine guns. There is also special ammunition capable of penetrating armor, firing underwater, or firing "silently" at subsonic speeds. However, their designs are all basically the same. A typical cartridge consists of four components: the cartridge case, primer, propellant charge and bullet. When a gun trigger is pulled, the primer is struck, igniting the propellant. This causes a rapid expansion of gas, which forces the bullet forward and ejects the casing. Contrary to popular belief, guns are not loaded with bullets, but cartridges, and they fire bullets (since bullets are a more common term and the actual objects responsible for harm, they receive the recognition).
While small in size (the most popular handgun bullet is 9 mm in diameter) bullets posses enough kinetic energy to cause serious damage. Using a kinematics formula, it is possible to determine the acceleration of a bullet when the muzzle velocity and barrel length of a gun are known.
v2 = vo2 + 2as
Where
v is the muzzle velocity
vo is the initial velocity of the bullet, which is zero
a is the acceleration
s is the barrel length
Since acceleration is the desired value, the derived formula is this:
equation
When fired from a Beretta 92S, the standard issue US Army pistol, a 9 mm Parabellum bullet has a muzzle velocity of 335 m/s. With its 127 mm barrel length, the bullet's acceleration is calculated to be 4.4 × 105 m/s2.
The acceleration of a bullet depends largely on the gun from which it is fired, along with the intent of the user. Pistol bullets generally feature a lower acceleration than rifles or machine guns. Also, individuals involved with clandestine operations may use firearms with silencers, which suppress bullet speed and require special subsonic ammunition.
Remember, guns don't kill people. Bullets do. To paraphrase Chris Rock in Bigger, Blacker and Uncut, if bullet prices were raised to $5,000 each, there would be a drastic decrease in murders [mp3].
Coach Baker is driving down the road at 23 meters per second. As he approaches a red light, he accelerates to 0 meters per second. The hole process took 1.45 seconds. What was coach bakers average acceleration? Round to the nearest WHOLE number.
Answers
Answer:
We can use the formula for average acceleration:
average acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 23 m/s, the final velocity is 0 m/s, and the time is 1.45 seconds.
average acceleration = (0 m/s - 23 m/s) / 1.45 s
average acceleration = -15.86 m/s²
Rounding to the nearest whole number, we get:
average acceleration ≈ -16 m/s²
Therefore, Coach Baker's average acceleration was approximately -16 meters per second squared.
Explanation:
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100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. How much farther does the car go after the driver begins to brake, assuming constant acceleration?
Answers
Answer:
30 m
Explanation:
Let's list out the known variables that we are given in this question.
v₀ = 15 m/sv = 0 m/s t = 4 sWe are trying to solve for displacement in the x-direction.
Δx = ?Find which constant acceleration equation contains all 4 of these variables.
\(\displaystyle \triangle x = \Big (\frac{v+v_0}{2} \Big ) t\)Plug the known values into the equation and solve for delta x.
\(\displaystyle \triangle x = \Big (\frac{0+15}{2} \Big ) \cdot 4\) \(\displaystyle \triangle x = \Big (\frac{15}{2} \Big ) \cdot 4\) \(\displaystyle \triangle x =\frac{60}{2}\) \(\triangle x = 30\)The car goes 30 m after the driver begins to brake.
Answer:
the answer should be 30 m
Explanation:
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when 0.107 g of zn(s) is combined with enough hcl to make 53.2 ml of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.2 ∘c to 24.5 ∘c.
Answers
The heat released by the reaction of zinc with hydrochloric acid is -502.9 J. The negative sign indicates that heat was released by the reaction and absorbed by the calorimeter.
To calculate the heat released by the reaction of zinc with hydrochloric acid, we need to use the formula:
q = m × C × ΔT
where:
q = heat released or absorbed (in joules, J)
m = mass of the solution (in grams, g)
C = specific heat capacity of the solution (in J/g⋅°C)
ΔT = change in temperature (in °C)
First, let's calculate the mass of the solution:
mass of solution = volume of solution × density of solution
The density of the solution can be assumed to be equal to that of water, which is 1 g/mL.
mass of solution = 53.2 mL × 1 g/mL
mass of solution = 53.2 g
Next, we need to calculate the heat capacity of the solution. Since we do not know the exact composition of the solution, we can assume that it is mostly water and use the heat capacity of water, which is 4.184 J/g⋅°C.
C = 4.184 J/g⋅°C
Now we can calculate the change in temperature of the solution:
ΔT = final temperature - initial temperature
ΔT = 24.5 °C - 22.2 °C
ΔT = 2.3 °C
Finally, we can calculate the heat released by the reaction:
q = m × C × ΔT
q = 53.2 g × 4.184 J/g⋅°C × 2.3 °C
q = 502.9 J
Since the reaction of zinc with hydrochloric acid is an exothermic reaction, the heat released by the reaction is equal to the heat absorbed by the calorimeter:
qreaction = -qcalorimeter
Therefore:
qreaction = -502.9 J
The complete question is:
When 0.107 g of zn(s) is combined with enough hcl to make 53.2 ml of solution in a coffee-cup calorimeter, all of the zinc reacts, raising the temperature of the solution from 22.2 ∘c to 24.5 ∘c. What is the heat released by the reaction of zinc with hydrochloric acid?
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All valid equations in physics have consistent units. Are all equations that have consistent units valid?.
Answers
No. Any equation can be made to have consistent units through unit conversion.
Unit conversion is a conversion between different units of measurement of the same quantity, usually with a multiplicative conversion factor that changes the value of the measurement without changing its effect. use.
The conversion process depends on your specific situation and goals. This may be governed by regulations, contracts, technical specifications, or other published standards. Technical judgment may include factors such as:
Statistical confidence or tolerance intervals for initial measurements.A number of significant digits for measurements.Intended Use of Measurements Containing Technical Tolerances.Historical definitions of units and their derivatives were used in ancient measurements. For example, B. International Foot vs. us survey foot.
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a. What are the defects of simple cell?
Answers
Polarization: When a simple cell is in use it is found that the current quickly falls to a very small value.
Local action: If the zinc used in the simple cell is of the impure commercial variety bubbles of hydrogen will be seen coming off the zinc
The voltage across two points in an electric circuit is
876 mV. A power source does 1 901 kJ of work
when moving a certain amount of charge between
these two points.
Determine the amount of charge that moved between
between the two points.
Answers
Answer:
V=w/q V= 1.2/0.4* 10 ^-3 V = 3 * 10 ^ 3 V = 3000 v
if its not correct let me know so I can figure it out
Select the correct rocks.
Identify the igneous rocks.
Answers
Answer:
Red Volcano Rock and the Lava Rock Covered in Sulphur
Explanation:
Igneous Rocks are formed by volcanoes, lava, and magna. Sandstone is sedimentary and Slate is metamorphic. The other two are literally formed by volcanoes.
Answer:
Red Volcano Rock and the Lava Rock Covered in Sulphur
Explanation:
which part of the picture shows evidence of matter scattering light waves on many diffrent directions
Answers
Answer:
A- The image of the moon on the waters surface is distorted.
Explanation:
What is the value of the fixed points of a temperature scale
Answers
Answer:
To calibrate a thermometer is to mark a thermometer so that you can use it to measure temperature accurately. A fixed point is a standard degree of hotness or coldness such as the melting point of ice or boiling point of water.
Please I need help with this ❤️ ?
Answers
Answer:
Compound 'A' C5H12 does not react with phenyl hydrazine. Oxidation of 'A' with K2Cr2o7,/H" gives B' (c5H10o). Compound 'B' reacts with phenyl hydrazine but does not give Tollen's test. The
Multi-part question If a galaxy moving away from the Earth has a speed of 1000 km/s and emits 656 nm light characteristic of hydrogen (the most common element in the universe). What wavelength would we observe on the Earth
Answers
Answer:
658.2 nm
Explanation:
Since the galaxy is moving at relavitistic speed, we use the equation for relativistic Doppler shift of light.
So, the wavelength of light observed on the Earth is λ
λ = λ'(\(\sqrt{\frac{ 1 + \frac{v}{c} }{1 - \frac{v}{c} } }\))
where λ' = wavelength of light emitted by galaxy = 656 nm, v = speed of galaxy = 1000 km/s (positive since the galaxy is moving away from the Earth) and c = speed of light = 300000 km/s
So, substituting the values of the variables into the equation, we have
λ = λ'(√[{1 + (v/c)}/(1 - (v/c)]
λ = 656 nm(√[{1 + (1000 km/s/300000 km/s)}/(1 - (1000 km/s/300000 km/s)]
λ = 656 nm(√[{1 + 1/300}/(1 - 1/300]
λ = 656 nm(√[{(300 + 1)/300}/{(300 - 1)/300}]
λ = 656 nm(√[{(301)/300}/{(299)/300}]
λ = 656 nm(√[301/299])
λ = 656 nm(√1.0067)
λ = 656 nm × 1.0033
λ = 658.19 nm
λ ≅ 658.2 nm
So, the wavelength observed on Earth is 658.2 nm
Physics at UNF: 16-25* You are swinging on one of UNF's swings out by the Student Union. Assume your motion can be represented as a simple harmonic oscillator, where your center of gravity is 2.00 m below the pivot. What is the period of this simple harmonic oscillator? 2.00 s What is the frequency? 1.89 1/5 What is the corresponding angular velocity? 2.21 rad/s
Answers
The period of the simple harmonic oscillator is 2.00 s, the frequency is 0.500 Hz, and the corresponding angular velocity is 3.14 rad/s. The motion of a person swinging on a swing can be modelled as a simple harmonic oscillator.
The period, frequency, and angular velocity of the simple harmonic oscillator can be determined from the length of the swing and the acceleration due to gravity.
Let's calculate the period, frequency, and angular velocity of the simple harmonic oscillator in this problem. The period of a simple harmonic oscillator can be calculated using the following formula:
\(T = 2π√(l/g)\), where l is the length of the pendulum and g is the acceleration due to gravity.
The length of the pendulum can be determined as follows: Length of pendulum = Distance from pivot point to center of gravity of the person= 2.00 m. The acceleration due to gravity is approximately 9.81 m/s^2, so the period of the simple harmonic oscillator is
:\(T = 2π√(l/g)\)
= 2π√(2.00/9.81) = 2.00 s
The frequency of the simple harmonic oscillator is given by:
f = 1/T
= 1/2.00
= 0.500 Hz (correct to 3 significant figures)
The corresponding angular velocity is given by:
ω = 2πf
= 2π(0.500)
= 2π(0.500)
= 3.14 rad/s (correct to 3 significant figures)
Therefore, the period of the simple harmonic oscillator is 2.00 s, the frequency is 0.500 Hz, and the corresponding angular velocity is 3.14 rad/s.
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The wavelength of a wave is 4 metre & its time period is 2 second. What is speed of the wave?
Answers
Answer: The speed of wave is 2m/s.
Explanation:
The speed of wave equals to the distance/time. So when we divide 4m and 2s, we get that the speed of wave is 2m/s
Assume that a satellite with a mass of 500kg orbits Earth 225km above its surface. Given that the mass of Earth is 5.97 x 10^24 kg and the radius of Earth is 6.38 x 10^6 m. (A)
What is the force of gravity that acts on the satellite? (B) What is the speed of the Satellites orbit
Answers
With the use of formulas, the force of gravity on the satellite is 4563.8 N and the speed of the Satellites is 7764.5 m/s
What is Newton's Law of Gravitation ?It states that the force of attraction between two object is proportional to the product of the masses and inversely proportional to the square of the distance between them.
Assume that a satellite with a mass of 500kg orbits Earth 225km above its surface. Given that the mass of Earth is 5.97 x 10^24 kg and the radius of Earth is 6.38 x 10^6 m.
(A) The force of gravity that acts on the satellite will be
F = GMm/r²
Where
G = 6.67 × 10^-11 Nm²/kg²M = 5.97 x 10^24 kgm = 500kgr = 6.38 x 10^6 m + 225 000 m = 6605000 mF = ?Substitute all the parameters
F = (6.67 × 10^-11 × 5.97 x 10^24 × 500)/6605000²
F = 4563.8 N
(B) The speed of the Satellites orbit will be
v = √GM/r
v = √(6.67 × 10^-11 × 5.97 x 10^24 )/6605000
v = √60287509.5
v = 7764.5 m/s
Therefore, the force of gravity that acts on the satellite is 4563.8 N and the speed of the Satellites orbit is 7764.5 m/s
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how many protons are in this atom if it has a balanced charge
Answers
what is the smallest height needed to make a wave?
Answers
Hey there!
Answer and Explanation:A wave can be made at any magnitude of amplitude. Therefore, the smallest height needed to make a wave is at any height.
A wave is a disturbance which travels through a medium transferring energy from one point to another without causing any permanent displacement of the medium.
The height needed by a wave is its amplitude. We can define amplitude as the maximum displacement of wave from original position.
A wave can be made at any magnitude of amplitude. Therefore, the smallest height needed to make a wave is at any height.
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Identifying Obstacles
Since the purpose of these strategies is to help overcome obstacles and set-backs in your exercise routine, take a minute and think about the most obvious obstacle you have. If you do not have any obstacles at the present time, think about a potential obstacle to your exercise that could occur.
Answers
Answer:
Thx!
Explanation: