The question is incomplete, however [tex]1/2\kappa (\mu^2 m^2g^2/k)[/tex] is the potential energy stored in the spring.
of spring F=−kx
coefficient of kinetic friction F=μmg
At equilibrium, the mass and spring will both revert to their average positions.
so,−kx=μmg [tex]x=-\mu mg/k[/tex]
the potential energy stored the spring is
[tex]1/2kx^2=1/2k-\mu mg/k^2=1/2k(\mu^2m^2g^2/k)[/tex]
For short lengths, the force needed to extend a metal spring or other elastic item is exactly proportional to the length of the spring. Hooke's law describes the force the spring applies in reverse.Because the force applied by the spring is always in the opposite direction of the displacement, this force is known as a restoring force. The equation for Hooke's law contains a negative sign because of this. When a spring is pulled downward, it is stretched downward and produces an upward force.To know more about potential energy visit : https://brainly.com/question/13003361
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what was the acceleration for the whole fall?
The acceleration for the whole fall = 6 m/s²
Since the object falls freely without being pushed, we are able to conclude it falls with constant acceleration.
As per the formula,
Acceleration = [tex]\frac{Final Velocity - Initial Velocity}{Total Time}[/tex]
The Final Velocity of the space - mobile would be the total displacement it covered in the given time.
Final Velocity = 96/4 m/s
= 24 m/s
The Initial Velocity will be zero since as given in the image attached that the object falls freely with no external force.
Initial Velocity = 0/0 m/s
= 0 m/s
Total time taken = 4 sec
∴ Acceleration of the space - mobile = [tex]\frac{24-0}{4}[/tex]
= 24/4 m/s²
= 6 m/s²
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how does the force of friction for a sliding object vary with speed?
The friction and the velocity of the object are inversely proportional to each other.
The velocity of the object sliding over a rough surface decreases with the increase in friction.
Let us assume that ab object is sliding over a rough surface.
Now, if the object is at rest, the static friction completely keeps the object at rest.
While sliding, the friction opposes the motion of the body.
If an object is sliding on a surface with some velocity and no external force is applied. The velocity will decrease in sometime and will become zero.
If an external force is applied in the direction of motion of object, the friction will be in work but it will work only as a opposing force. So, it will always try to decrease the velocity.
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You are helping to repair a roof by loading equipment into a bucket that workers hoist to the rooftop. If the rope is guaranteed not to break as long as the tension does not exceed 450 N and you fill the bucket until it has a mass of 42 kg, what is the greatest acceleration that the workers can give the bucket as they pull it to the roof?
10.72 m/s^2 is the greatest acceleration that the workers can give the bucket as they pull it to the roof.
Definition of accelerationacceleration is the speed and direction change over time of a moving object. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Because the direction is always changing, travel on a circle accelerates even while the speed is constant.
The Acceleration Equation: What Is It?According to Newton's second law of motion, the acceleration of an object is defined as the net force applied divided by its mass, or a = F m. This equation for acceleration can be used to calculate an object's acceleration when its mass and the net force acting on it are known.
Given,
force = 450N
mass = 42kg
acceleration = ?
a = f/m is acceleration formula.
a = 450 / 42 = 10.72 m/s^2
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Order the three bars in order of lowest to highest melting point of the materials.
a. Highest melting point
b. Intermediate melting point
c. Lowest melting point
Order of the three bars from the lowest to the highest melting point of the materials can be arranged from bottom to top as given below
(c) Lowest melting point - high intermolecular forces
(b) Intermediate melting point - medium intermolecular forces
(a) Highest melting point - low intermolecular forces
The matter has three different states and all of them have different melting points depending on the type of intermolecular forces in them.
So far, the melting point of a substance refers to the point or temperature at which it undergoes the transition phase to turn from a solid to a liquid state.
When a substance starts melting it reaches the intermediate point or the equilibrium point where the solid and liquid phases co-exist.
The melting point also depends on the atmospheric pressure standard is 100 kilopascal or 100 Kpa.
In general, a substance passes through three phases of melting point i.e. at first the melting point is lowest, then reaches to equilibrium point or intermediate point, and then to the highest point where it completely melts overcoming the intermolecular forces.
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a daredevil tries to jump a canyon of width 10 m. to do so, he drives his motorcycle up an incline sloped at an angle of 15 degrees. what minimum speed is necessary to clear the canyon?
Minimum speed is necessary to clear the canyon is 14 m/s
What is speed ?
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero. [1] The average speed of an object in a period of time is the distance travelled by the object divided by the duration of the interval. Velocity and speed are not the same thing.
The parameters of speed are time divided by distance. The most often used unit of speed in daily life is the kilometre per hour (km/h), or miles per hour in the US and the UK. The SI's unit of speed is the metre per second (m/s) (mph). The knot is frequently utilised for maritime and air transport.
Horizontal range for a launch angle θ on a level surface is given by:
d=v2g
∴v2=gsin(2θ)
∴v2=9.8×10
v2=196
v=14m/s
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help me with this please full calculations
Helping is melting please
f(x) means a function of x. In this case, the function of x is 3x - 5
So if you have f(2), apply the function with the value of x equal to 2. In this case, just plug 2 into the equation where x is :
f(x) = 3x - 5
f(2) = (3)2 - 5
f(2) = (3 . 2) - 5
f(2) = 6 - 5
f(2) = 1
The function is shown in the figure below. Since this is a linear function we can see that the graph intersects the x-axis at only one point. This equation is a linear equation with two variables. Since there is a unique value of y for every value of x, we find them accordingly and set x = 0, then y = 5. So (0.5) is the answer you get. F values are used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance. The F distribution is a theoretical distribution.
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uppose a heat engine absorbs 2,403 j from the hot reservoir while rejecting 931 j to the cold reservoir. calculate the engine's efficiency.
Suppose a heat engine absorbs 2,403 j from the hot reservoir while rejecting 931 j to the cold reservoir. The engine's efficiency is 0.62
What is heat engine?A heat engine is a device used in engineering and thermodynamics that transforms heat into mechanical energy that may be utilized to do mechanical labor. It accomplishes this by lowering the temperature of a functioning substance from its higher condition.
Efficiency may be represented as a ratio: output input. The total amount of beneficial work accomplished, excluding waste and spoilage, is known as output or work output. Efficiency can also be expressed as a percentage by dividing the ratio by 100.
η = 1 - (931/2403)
= 0.62
Heat engine absorbs 2,403 j from the hot reservoir while rejecting 931 j to the cold reservoir. The engine's efficiency is 0.62.
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earth's orbit is currently elliptical enough to make the intensity of sunlight vary by 6 percent. the largest earth-sun distance (and lowest intensity sunlight) occurs
Earth's orbit is currently elliptical enough to make the intensity of sunlight vary by 6 percent. the largest earth-sun distance occurs in every january.
When seen from above the Northern Hemisphere, the Earth circles the Sun at an average distance of 149.60 million kilometres in a counterclockwise manner. Earth has travelled 940 million kilometres in 365.256 days, the length of one orbit. Every twelve months, the earth orbits the sun. With the sun at one of the ellipse's foci, the orbit has a slightly elliptical form. A plane with the sun in it is defined by the orbit. It takes the Earth 149 million kilometres to travel to the sun on average. The path taken by Earth is not a perfect circle. It is oval-shaped, or elliptical. This implies that Earth is closest to the Sun at a certain point in its orbit, and farthest from the Sun at an other point.
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How many moles of ch4 are contained in 112 g of that substance? the molar mass of ch4 is 16 g/mol.
7 moles of CH₄ are contained in 112 g of that substance.
Describe the molar mass in detail?The weight of a single mole of a substance is its molar mass. The word "molar mass" refers to the amount of a certain chemical in grams that makes up one mole. The periodic table contains a list of the atomic masses that were utilized to compute the molar mass. The Avogadro's number reveals the number of particles in each mole.
The molar mass, also referred to as the molecular weight, is the total mass of the atoms needed to create a molecule per mole, represented in grams. Grams per mole are used to express molar mass.
Given mass = 112 g
Molar mass of CH₄ = ( 1 x 12 ) + ( 4 x 1) = 16 gmol-1
Number of moles = mass / Molar mass
Number of moles = 112 g / 16 gmol-1
Number of moles = 7 moles
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Which reading is given to one tenth of a millimetre?
Vernier calipers have a resolution of 1/10 of an inch.
Vernier calipers—what are they?To determine the diameter of circular objects, a vernier caliper is typically employed. The vernier caliper's elongated jaws can precisely measure the circumference of rounded objects.
A vernier caliper has two scales: a moving vernier scale in addition to the primary, fixed scale. The primary scale displays millimeter readings.
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A body starts from rest and gains a velocity of 6 m/s in 2s of time. Find the acceleration of the body and its average velocity for the given time:
The acceleration of the body would be 3m/s^2 when a body starts from rest and gains a velocity of 6m/s in 2 second of time.
What is acceleration and average velocity and how it is calculated out to be so ?Acceleration is the quantity representing the change in velocity per unit time of the body in motion.Here in this question is given the velocity to be 6m/s and the time is 2 seconds, .To calculate the acceleration = velocity / time = 6/ 2 = 3 m /s^2 is the acceleration of the body.Average velocity is the quantity depicting the displacement per unit time of the body in motion.So the acceleration of the body when it starts from rest and gains a velocity of 6 m/s in 2 second of time is 3 m/s^2.To know more about acceleration visit:
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Determine the required radius for the Sun to become a Black Hole. Write the name for the radius
Given:
The mass of the sun is
[tex]M_{sun}=1.989\times10^{30}\text{ kg}[/tex]The universal gravitational constant is
[tex]G\text{ = 6.67}\times10^{-11}\text{ Nm}^2\text{ /kg}^2[/tex]The speed is
[tex]c=\text{ 3}\times10^8\text{ m/s}[/tex]To find the required radius for the sun to become a black hole.
Explanation:
The radius can be calculated as
[tex]\begin{gathered} r=\frac{2GM}{c^2} \\ =\frac{2\times6.67\times10^{-11}\times1.989\times10^{30}}{(3\times10^8)^2} \\ =2948\text{ m} \end{gathered}[/tex]The name of the radius is Schwarzschild radius.
A quarterback throws the football to a stationary receiver who is 28.4 m down the field.
The football is thrown at an initial angle of 38.6 to the ground.
The acceleration of gravity is 9.81 m/s?.
a) At what initial speed must the quarterback throw the ball for it to reach the receiver?
Answer in units of m/s.
The following question is about football movement and can be answered by using the equations of projectile launch :
Initial speed is: v = 16.89 m / s
Maximum height is: y = 14.26m
Given parameters
Horizontal distance x = 28.4 m
Launch angle tea = 38.6º
To find,
The initial speed and the maximum height
R = [tex]v^{2}[/tex]sin2θ/g
[tex]v^{2}[/tex]= g*r/sin2θ
calculating,
v² = 9.8 *28.4 / sin (2 *38.6)
=[tex]\sqrt{278.32/0.9751}[/tex]
v = 16.89 m / s
The vertical speed is zero when height maximum.
v² = v² - 2 g y
0 = v² - 2g y
y = v²/2g
y = 14.26m
Initial speed is: v = 16.89 m / s
Maximum height is: y = 14.26m
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factors affecting flotation
Answer:Buoyancy
Explanation: if you need to float you will need an equal buoyancy force to gravity like supposing a boat is 300Kg and its buoyancy force is so high that it matched perfectly with the force of gravity it would float
Can someone Please help me? One of the main disadvantages of incandescent lights is that _________.
the light they cast is hard on the eyes
only 10% of the energy makes light
they need extra sockets to be used in a normal house
Answer: Only 10% of the energy makes light
Explanation:
In an element’s square on the periodic table, the number with the greatest numerical value represents the
rank the following kinds of electromagnetic radiation in order of decreasing wavelength. rank the types of electromagnetic radiation by their wavelength from longest to shortest. to rank items as equivalent, overlap them.
Answer:
In order of decreasing wavelength :
Radio Waves
Microwaves
Infrared Light
Red light
Violet light
UV Light
X-Rays
Gamma Rays
The table below shows the distances of five planets from the sun.
If a spacecraft travels 3.6 AU per year, in how many years would it travel from Earth to Venus? (1 point)
O 0.05 years
O 0.07 years
O 0.08 years
O 0.09 years
Answer:
0.08 years
Explanation:
a cd has a mass of 17.2 g and a radius of 6.12 cm. when inserted into a player, the cd starts from rest and accelerates to an angular velocity of 20.6 rad/s in 0.659 s. assuming the cd is a uniform solid disk, determine the net torque acting on it.
Assuming the CD is a uniform solid disk, the net torque acting on it is 1645.2492 g-cm^2/s^2.
The moment of inertia for a uniform disk of radium r and mass m is 1/2mr^2. Assuming that the CD undergoes angular acceleration to its final angular velocity, this acceleration will be
x= Δw / Δt
and the torque will be
y= |α= 1/2mr^2 * Δw / Δt
= 1/2 (17.2g) * (6.12cm) * (20.6 rad/s)/(0.659s)
= 1645.2492 g-cm^2/s^2
Therefore, the net torque acting on the CD is 1645.2492 g-cm^2/s^2.
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cm. the current in the solenoid is increasing at a uniform rate of 36.0 a>s. what is the magnitude of the induced electric field at a point near the center of the solenoid and (a) 0.500 cm from the axis of the solenoid; (b) 1.00 cm from the axis of the solenoid?
The induced emf near the solenoid's center has a magnitude of 0 V/m.
At a location 0.500 cm from the solenoid's axis, the induced electric field has an intensity of 8 x 105 V/m.
the settings provided;
N = 700 turns/m for the solenoid's number of turns, and r = 2.5 cm for the wire's radius. I = 36 A/s for the solenoid's current.The following formula is used to determine the size of the induced emf close to the solenoid's center:
B = 4π × 10⁻⁷ × 700 × 36
= 0.032 T/s
E = r/2(dB/dt)
E = 0/2*(0.032)
E = 0 V/m
The following formula is used to determine the strength of the induced electric field at a position 0.500 cm from the solenoid's axis:
E = r/2(dB/dr)
E = {(0.5 * 10⁻²)/2}*(0.032)
E = 8 × 10⁻⁵ V/m
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An object has a kinetic energy of 180 J and a mass of 45 kg, how fast is the object
moving?
Your answer
An object has a kinetic energy of 180 J and a mass of 45 kg, The object is moving fast with 2.83 m/sec
What is kinetic energy?Kinetic energy is the energy of motion, which can be observed as an item, particle, or collection of particles moving. Kinetic energy is used by any moving object: a person walking, a baseball being thrown, a crumb falling off a table, and a charged particle in an electric field are all instances of kinetic energy at work.
Given that,
Kinetic energy (K.E) = 180 J
Mass (m) = 45 kg
As we know, K.E = [tex]\frac{1}{2}mv^{2}[/tex]
Now we have to calculate the speed or velocity (v)
v = [tex]\sqrt{(2*K.E.)/m}[/tex]
v = [tex]\sqrt{(2*180)/45}[/tex]
v = 2.83 m/sec
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True or False—Tension is the result of opposite forces in a connector, such as a string, rope, chain or cable, that pulls each point of the connector apart in the direction parallel to the length of the connector. At the ends of the connector, the tension pulls toward the center of the connector.
Tension is the result of opposite forces in a connector. The tension pulls each object towards the center of the connector. Thus, the given statement is true.
What is Tension?
Tension is the opposite force that is exerted by a rope, string, cable, or similar object on one or more objects. Anything which is pulled, hung, supported, or swung from a rope, string, and cable, etc. is subjected to the tension force. Like all the other forces, tension can also accelerate objects or cause them to deform from their original structure.
Newton's third law is that when a contact force acts between any two objects, both the objects experience the same magnitude of force, but in opposite directions to each other. In tension, the two objects which are attached with the rope pull on each other.
To determine the magnitude of tension, a formula is used:
2T sin(α) = m × g
where m × g represents is the weight of the suspended object.
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the depth to which an inverted drinking glass must be pushed beneath the surface of water so that the volume of enclosed air is squeezed to half isquestion 5 options:20.6 m.76 cm.14.7 m.10.3 m.
The glass should be pushed down to a depth of 20.4 m to squeeze the volume of the air to half.
According to Boyle's law, when the temperature of the gas is constant.
The pressure and the volume are inversely proportional to each other.
Hence, it can be written,
P₁V₁= P₂V₂
Where, P₁ and V₁ are initial pressure and volume and P₂ and V₂ are final pressure and volume.
So, if the volume has to be decreased by half of the enclosed air.
V₂ = V₁/2
The pressure at the surface of water is 10⁵ Pa.
The density of the water is 10³ m kg/m³.
Hence, putting the values,
10⁵V₁ = V₁pgh/2
10⁵ = 9.8 x 10³ x h/2
h = 20.6m.
Hence, the glass should be drowned to a depth of 20.4 m.
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If the dna content of a diploid cell is x in the g1 phase of the cell cycle and 2x at metaphase of meiosis i, then the dna content of the same cell at metaphase of meiosis ii will be.
DNA content of the same cell at metaphase of meiosis ii will be 0.25x 21 0.5
Metaphase is a level of mitosis inside the eukaryotic cell cycle in which chromosomes are at their second-most condensed and coiled degree. those chromosomes, carrying genetic information, align in the equator of the mobile earlier than being separated into every of the two daughter cells.
In metaphase, the centromeres of the chromosomes convene themselves at the metaphase plate (or equatorial plate), an imaginary line this is equidistant from the two centrosome poles. This even alignment is because of the counterbalance of the pulling powers generated by way of the opposing kinetochore microtubules, analogous to a tug-of-battle among human beings of equal electricity, ending with the destruction of B cyclin.
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in order for the earth centered model of the universe to be true, some of the planets had to move backwards in orbit from time to time. this type of motion is called
Answer:
"retrograde motion" and occurs when some of the planets are moving nearly parallel to the earth and the faster motion of the earth causes the planet in question to be moving backwards relative to the night sky
Retrograde motion is the term used to describe how some planets move almost identically to the earth, but are traveling backward in the night sky due to the earth's quicker velocity.
What is a Planet?Any moderately large natural body that rotates in an orbit around the Sun or another star and is not emitting energy from intrinsic nuclear fusion reactions is referred to as a planet. In addition to the restrictions mentioned above, some scientists sometimes place restrictions on qualities like size, form, or weight.
The term "planet" refers to the celestial bodies of Earth. The International Astronomical Union (IAU), which is tasked by the scientific community with categorizing celestial bodies, lists 8 planets orbiting the Sun; they are Mercury, Venus, Earth, Neptune, etc., in increasing order of increasing distance.
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Identify the nature and point of action of the third force acting on the wheelbarrow.Write down an equation showing the relationship between the three forces
Wheelbarrow is a small cart which has a wheel in the front, and two supporting legs and two handles in the back. It is used for carrying loads.
Wheelbarrow is a second class lever. The three forces acting on a wheelbarrow are input force (applied force to move), output force (due to load) and the force due to fulcrum (or wheel) on one end.
The applied force and force due to wheel are in opposite directions, one acting upward and the other acting downward. The load force will be in between the applied force and the force due to wheel.
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Based on the data provided in Chart 2, describe the relationship between the mass of the ice and the transfer of thermal energy in the investigation. Use evidence and scientific reasoning to support your answer.
Based on data in the chart, it can be concluded that as the mass increases then the thermal energy increases because thermal energy of a substance depends greatly on the temperature and mass of that substance
Thermal energy always moves from an area with a higher temperature to an area with a lower temperature. So, if a block of ice comes in contact with a substance that has lower temperature, such as liquid nitrogen or dry ice, then thermal energy move from the ice to the colder substance.
Mass measures the quantity of material in a sample ,therefore, thermal energy depends on the mass and the temperature of the object. The more the mass of the object, more particles are in the sample and thermal energy is also more.
Energy contained in the motion and vibration of its molecules is called thermal energy.
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Determine the weight on the moon of a person whose weight on the earth is 190 pounds.
Answer: Weight = 140.05 N
Explanation:
The formula for calculating weight of an object on the moon is expressed as
weight = mg
where
m = mass of the object
g = acceleration due to gravity of the moon
From the information given,
m = 190 pounds
We would convert 190 pounds to kg
1 pound = 0.45359237 kg
190 pounds = 190 x 0.45359237 = 86.183 kg
g = 1.625 m/s^2
Thus,
w = 86.183 x 1.625
w = 140.05 N
What type of motion is solved by using two components of horizontal and vertical direction.
What is the mass of a truck if it produces a force of 14,000 N while accelerating at
a rate of 5 m/s² ?
F=_
m=
a=
Both the truck's force and its rate of acceleration are provided to us: Force applied (F) = 14,000 N, Acceleration (a)= 5 m/s².
Calculating,
the truck's mass using Newton's second law of motion.
F = ma
(where F is the applied force, m is the object's mass, and an is the object's acceleration.)
replacing the variables:
14000 = (m)* 5
m = 14000/5
m = 2800kg
Therefore,
the mass of truck is 2800 kg
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