According to the universal law of gravitation, the force due to gravity is directly proportional to the product of the masses of two objects and inversely proportional to the square of the distance between them.
Explain universal law of gravitation?The force of attraction between two objects caused by their masses is described by the universal law of gravitation, a physical principle put forth by Sir Isaac Newton. This law states that every particle of matter attracts every other particle in the cosmos with a force that is directly proportional to the product of their masses and inversely proportional to the square of their separation.
The equation provides the law's mathematical expression:
F = G * (m1 * m2) / r^2
Where r is the distance between the centers of the two objects, m1 and m2 are their masses, and G is the gravitational constant.
The gravitational constant is a fundamental constant of nature that has a value of approximately 6.674 x 10^-11 Nm^2/kg^2.
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at what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground? express your answer in degrees.
at the velocity of 60 degree angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground
For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,
v 0 cosθ= 2v 0
or cosθ= 21
or θ=60 ∘ .
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
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What would happen if you tried using a road bike to ride across a soft surface. explain your answer?
part (a) what is the magnitude of the z -component of the magnetic field, in units of teslas, at the origin of the coordinate system due to charge q1 ?
1. The z-component of the magnetic field due to charge one at the origin of the coordinate system, in teslas is (4π x [tex]10^{-7}[/tex] T m/A).
2. The z-component of the magnetic field due to charge two at the origin of the coordinate system, in teslas is 6.06 x [tex]10^{-5}[/tex] T.
3. The total magnetic field, in the z-direction, at the origin, due to the two charges, in teslas is 6.05 x [tex]10^{-5}[/tex] T.
1. To calculate the magnetic field at the origin of the coordinate system due to the two moving charges, we can use the Biot-Savart law, which relates the magnetic field at a point to the current or the moving charges producing it.
Let's first calculate the magnetic field at the origin due to charge one:
The magnitude of the magnetic field at a point due to a moving charge can be calculated using the equation:
B = (μ0/4π) x (q v sinθ / r²).
2. In this case, charge one has a charge of 0.15 C and is moving at a speed of 18.5 x [tex]10^6[/tex] m/s. The distance between charge one and the origin is 0.65 m.
B1 = (μ0/4π) x (0.15 x 18.5 x [tex]10^6[/tex] / 0.65²) = 6.06 x [tex]10^{-5}[/tex] T
The z-component of this magnetic field is zero since the field is perpendicular to the z-axis.
3. Next, let's calculate the magnetic field at the origin due to charge two:
B2 = (μ0/4π) x (5.50 x 2.5 x 10 / 0.65²) = -1.26 x [tex]10^{-7}[/tex] T
The negative sign indicates that the magnetic field due to charge two is directed along the negative z-axis.
Finally, let's calculate the total magnetic field at the origin due to both charges:
Since the magnetic fields due to the two charges are perpendicular to each other, we can simply add their magnitudes to obtain the total magnetic field in the z-direction:
Btot = B1 + B2 = 6.06 x [tex]10^{-5}[/tex] - 1.26 x [tex]10^{-7}[/tex] = 6.05 x [tex]10^{-5}[/tex] T
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The question is -
Consider the two charges, which are moving in opposite directions and located at a distance of 0.65 m on either side of the origin of the given coordinate system. Charge one is 0.15 C and is moving at a speed of 18.5 x 106 m/s, and charge two is 5.50 and is moving at a speed of 2.5 x 10 m/s.
What is the z-component of the magnetic field due to charge one at the origin of the coordinate system, in teslas?What is the z-component of the magnetic field due to charge two at the origin of the coordinate system, in teslas?What is the total magnetic field, in the z-direction, at the origin, due to the two charges, in teslas?what is the magnitude of the acceleration experienced by an electron in an electric field of 750n/c? how does the direction of the acceleration depends on the direction of the field at that point?
The magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴ m/s².
If the electric field is in the direction of positive x-axis, the electron will be accelerated in the negative x-axis direction. If the electric field is in the direction of positive y-axis, the electron will be accelerated in the negative y-axis direction, and so on.
The magnitude of the acceleration experienced by an electron in an electric field can be calculated using the formula:
a = F/m
where F is the force experienced by the electron in the electric field, and m is the mass of the electron.
The force experienced by an electron in an electric field is given by:
F = qE
where q is the charge of the electron, and E is the electric field strength.
The mass of an electron is approximately 9.11 × 10⁻³¹ kg, and the charge of an electron is -1.602 × 10⁻¹⁹ C.
Substituting these values, we get:
F = (-1.602 × 10⁻¹⁹ C) × (750 N/C) = -1.2015 × 10⁻¹⁶ N
a = F/m = (-1.2015 × 10⁻¹⁶ N) / (9.11 × 10⁻³¹ kg) ≈ -1.318 × 10¹⁴ m/s²
Therefore, the magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴m/s².
The direction of the acceleration of the electron depends on the direction of the electric field at that point. By convention, the direction of the electric field is the direction in which a positive charge would experience a force. Since the charge of an electron is negative, the force experienced by an electron in an electric field is opposite in direction to the electric field.
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for a person wearing these shoes, what??s the maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping?
The maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping is 50°.
Friction is a force that acts between two rough shells, whenever one tries to move one face against the other. When a force F pushes an object in one direction, there appears a disunion force in the contrary direction. Before stir thresholds, we're in the governance of static disunion.
Once the applied force is increased, the static disunion increases at the same rate, until it's reached a outside, denoted by maximum static disunion, and defined by the formula
[tex]f_s = \mu_s N[/tex]
The static measure between the shoe and the smooth gemstone is μs= 1.2
and hence the maximum static disunion is given by,
[tex]f_s = \mu_s N[/tex]
where N is the magnitude of the normal force. The forces acting on the shoe are
The gravitational force wielded by the Earth, of magnitude
F = mg
The normal force N wielded by the face of the gemstone, directed typically outwards from the gemstone.
The( static) disunion, wielded by the gemstone, in the direction overhead the gemstone( opposed to the tendency of slipping).
N - Fcosθ
N = Fcosθ
f = μFcosθ,
μFcosθ = Fsinθ
μ = sinθ/cosθ
Given by is the maximum (or critical) angle.
[tex]\theta_m_a_x = arctan\mu_s = arctan(1.2) = 50^0[/tex]
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Complete question:
Shoes made for the sports of bouldering and rock climbing are designed to provide a great deal of friction between the foot and the surface of the ground. Such shoes on smooth rock have a coefficient of static friction of 1.2 and a coefficient of kinetic friction of 0.90. For a person wearing these shoes, what is the maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping?
4) based on your data, compare the superposition principle for the electric fields and electric potential?
The electric field follows vector superposition while the voltage follows scalar superposition, which is the difference between the two superpositions (i.e., The net electric field at any point is the vector sum of the electric field due to the individual charges).
What is Electric field?
The term "electric field" refers to the physical field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field (or E-field). One of the four fundamental interactions, or forces, of nature is the electromagnetic field, which manifests in both electric and magnetic fields. Electric fields, which are significant in many parts of physics, are used in electrical technology.
For instance, in atomic physics and chemistry, the electric field serves as the attractive force that holds the atomic nucleus and electrons of an atom together.
Moreover, it is the force that causes molecules to form when atoms bind chemically.
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in a grocery store, you push a 15.5 kg shopping cart, such that it feels a horizontal net force of 14.0 n. if the cart starts at rest, how far does it move in 3.00 s?
The shopping cart moves a distance of 4.57 meters in 3.00 seconds.
Using Newton's second law, which relates force, mass, and acceleration we can solve this problem
F = ma
where F is the net force acting on the object, m is its mass, and a is its acceleration.
In the given problem, the net force acting on the shopping cart is 14.0 N, and its mass is 15.5 kg. We can rearrange the equation above to solve for the acceleration of the cart:
a = F/m
a = 14.0 N / 15.5 kg
a = 0.9032 [tex]m/s^2[/tex]
Now we can use the kinematic equation that relates distance, acceleration, and time:
d = 1/2 * a * [tex]t^2[/tex]
where d is the distance traveled, a is the acceleration, and t is the time.
Plugging in the values we have:
d = 1/2 * 0.9032 [tex]m/s^2[/tex] * [tex](3.00 s)^2[/tex]
d = 4.57 meters
Therefore, the shopping cart moves a distance of 4.57 meters in 3.00 seconds.
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As a boat travels at 43. 0 km/h across the surface of a still lake, the waves it creates in the water have a speed of 25. 3 km/h
The waves created by the boat have a speed of 25.3 km/h, a period of approximately 0.37 hours, and a frequency of approximately 0.027 h⁻¹
When a boat travels at a certain speed across the surface of a still lake, it creates a series of waves that spread outwards from the boat. The speed of these waves depends on the properties of the water, such as its depth and temperature.
In this case, the boat is traveling at a speed of 43.0 km/h across the surface of a still lake, and the waves it creates in the water have a speed of 25.3 km/h.
The speed of the waves created by the boat can be calculated using the formula:
v = sqrt(gλ/2π)
where v is the speed of the waves, g is the acceleration due to gravity (9.81 m/s^2), λ is the wavelength of the waves, and π is the mathematical constant pi (approximately equal to 3.14).
Assuming that the wavelength of the waves is proportional to the speed of the boat, we can use the following formula to relate the wavelength of the waves (λ) to the speed of the boat (vb) and the speed of the waves (v):
λ = (v + vb) T
where T is the period of the waves, which is the time it takes for one complete wavelength to pass a fixed point.
We can rearrange this formula to solve for the period:
T = λ / (v + vb)
Substituting the given values, we get:
T = λ / (v + vb) = (25.3 km/h) / (43.0 km/h + 25.3 km/h)
T ≈ 0.37 hours
Finally, we can use the period of the waves to calculate their frequency (f), which is the number of waves that pass a fixed point in one second:
f = 1 / T
f = 1 / 0.37 hours ≈ 0.027 h⁻¹
Therefore, the waves created by the boat have a speed of 25.3 km/h, a period of approximately 0.37 hours, and a frequency of approximately 0.027 h⁻¹.
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the sun continues to shine today because of two kinds of balance. what are they and how do they work?
The two kinds of balance that keep the Sun shining are thermal equilibrium and hydrostatic equilibrium.
Thermal Equilibrium: The Sun shines by nuclear fusion, a process in which hydrogen atoms combine to form helium and release energy in the form of light and heat.
Hydrostatic Equilibrium: The Sun is also in hydrostatic equilibrium, which is the balance between the inward gravitational force and the outward pressure force.
These two balances are delicately intertwined and any disturbance to them could result in a catastrophic event such as a supernova or a collapse.
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A force F is exerted on a 2.0 kg block to move it across a rough surface. The magnitude of the force is initially 5 N, and the block moves at constant velocity. While the block is movingthe force is instantaneous increases to 12 N. How much kinetic energy does the block now gain at it moves a distance of 2 m?
The block gains 4.49 J of kinetic energy as it moves a distance of 2 m
What is kinetic energy of the block?The increase in kinetic energy of an object can be calculated using the equation:
ΔKE = 1/2 (m)(Δv^2)
where;
m is the mass of the object, Δv is the change in velocity, and ΔKE is the change in kinetic energy.To find the change in velocity, we can use the equation of motion, which states that the net force on an object is equal to its mass times its acceleration:
F = ma
Rearranging this equation, we can find the acceleration:
a = F / m
The acceleration is the same before and after the force increases, so we can equate the two and solve for Δv:
F1 / m = F2 / m
F1 / m = (F1 + ΔF) / m
ΔF / m = F2 / m - F1 / m
ΔF / m = (12 N) / (2 kg) - (5 N) / (2 kg)
ΔF / m = 4.5 m/s^2
Δv = √(2 * ΔF / m)
Now that we have Δv, we can plug this value into the equation for ΔKE:
ΔKE = 1/2 * m * Δv^2
ΔKE = 1/2 * 2 kg * (2.12 m/s)^2
ΔKE = 4.49 J
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determine which variables are known and which are not. an air-filled pipe is found to have successive harmonics at 480 hz , 800 hz , and 1120 hz . it is unknown whether harmonics below 480 hz and above 1120 hz exist in the pipe. what is the length of the pipe?
Below are the variables known and unknown of an air-filled pipe that have successive harmonica at 480hz, 800hz, 1120hzKnown. Successive harmonics at 480 Hz, 800 Hz, and 1120 Hz Unknown.
What are harmonics?Harmonics are overtones that are multiples of the fundamental frequency of a sound. They are produced when a sound wave is reflected from a surface, such as a wall or floor, and create a pleasant, ringing sound.
They are often used in music to create a fuller, richer sound. Harmonics can also be used to create a variety of effects in sound production, such as reverberation and echo.
For example, if a guitar is plucked, the note being played has a fundamental frequency but also has overtones which are produced by the guitar's body and strings.
To calculate the length of the pipe, it would be necessary to know the frequency of the first harmonic (the fundamental) and the frequency of the last harmonic. Without knowing this, it is not possible to calculate the length of the pipe.
Therefore, These overtones create a richer sound and are known as harmonics. The length of the pipe is unknown because the known harmonics do not provide enough information to calculate it.
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consider a circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, by what factor is the brightness of the other bulb multiplied?
A circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, By factor (2) is the brightness of the other bulb multiplied.
When two identical light bulbs are connected in parallel, the total resistance of the circuit is half of the resistance of each individual bulb. If one of the bulbs burns out, the total resistance of the circuit doubles, which means that the current through the remaining bulb is halved. The brightness of a light bulb is directly proportional to the current passing through it, so the brightness of the remaining bulb will be reduced by a factor of 2.
I = V/R
If both bulbs have the same resistance R and the same voltage V is applied to each, then the current passing through each bulb is:
I = V/R
When both bulbs are connected in parallel, the total current in the circuit is the sum of the currents through each bulb:
[tex]I_t_o_t_a_l = I_1 + I_2[/tex]
here,
[tex]I_1[/tex] & [tex]I_2[/tex] are currents passing by each bulb.
Reserving Ohm's law:-
[tex]I_t_o_t_a_l = V/R + V/R[/tex]
Simplifying:-
[tex]I_t_o_t_a_l = 2V/R[/tex]
The power P dissipated by each bulb is given by:
[tex]P = IV = V^2/R[/tex]
So the brightness of each bulb is proportional to [tex]V^2[/tex]. If one bulb burns out, the voltage across the remaining bulb remains the same, but the resistance of the circuit doubles, so the current passing through the remaining bulb is halved. This means that the power dissipated by the remaining bulb is reduced by a factor of 2, which corresponds to a reduction in brightness by the same factor. Therefore, the brightness of the remaining bulb is reduced by a factor of 2.
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1. find the distance between a 0.300 kg billiard ball and a 0.400 kg billiard ball if the magnitude of the gravitational force between them is 8.92 x 10-11 n.
The distance between two pool balls are separated by 0.0424 m.
By gravitational force, what do you mean?The gravitational pull draws any two mass-containing things together. It mentions the gravitational force. The force will always be applied along the line joining the two masses in the direction of the other mass, according to the formula F=Gm1m2r2.
The following formula can be used to determine the gravitational force between two objects:
F = G * (m1 * m2) / r²
where F is the gravitational force's strength, G is the gravitational constant (6.67 x 10-11 N×m2/kg), m1 and m2 are the objects' masses, and r is the separation between them.
To determine the separation between the two pool cues To account for r, we can rearrange this expression as follows:
Represents the objects' masses, while r denotes the separation between their mass centres.
Rearranging this formula to solve for r will allow us to get the distance between the two pool balls:
r = √(G × m1 × m2 / F)
Substituting the given values, we get:
r = √(6.67 x 10⁻¹¹ N*m²/kg² × 0.300 kg × 0.400 kg / 8.92 x 10⁻¹¹ N)
r = 0.0424 m
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Sarah rides her horse with a constant speed of 8 km/h. How far can she travel in 1 1/2 hours?
Answer:
12 Kilometers
Explanation:
To find the distance Sarah travels in a given time, we can use the formula:
distance = speed * time
In this case, the speed of the horse is 8 km/h and the time Sarah travels is 1 1/2 hours.
distance = 8 km/h * 1 1/2 hours = 12 km
So, Sarah can travel 12 kilometers in 1 1/2 hours.
How do we define work as the product of force and distance in the direction of force?
Answer:
Work is defined as the product of force and distance in the direction of force because it represents the amount of energy that is transferred from one object to another as a result of a force being applied over a certain distance.
The definition of work as the product of force and distance (W = Fd) is based on the concept of energy transfer. Energy is defined as the ability to do work, and work is defined as the transfer of energy from one object to another. When a force is applied to an object over a certain distance, the energy that is transferred is equal to the amount of work done.
what is the value of n for the electron following the emission?
The value of n for the electron emissions will be refer in each of the photoelectric effect, radioactivity. electron microscopy.
Photoelectric effect: In this process, electrons are emitted from a metal surface when light is shone on it. The energy of the incident light is absorbed by electrons in the metal, causing them to be ejected from the surface. "n" could refer to the energy level of the electron in the metal before it is ejected, which would determine the kinetic energy of the emitted electron.
Radioactive decay: Some radioactive isotopes undergo a process called beta decay, in which a neutron in the nucleus decays into a proton, emitting an electron in the process. "n" could refer to the energy level of the electron in the nucleus before it is emitted.
Electron microscopy: In electron microscopy, a beam of electrons is used to image a sample at high resolution. "n" could refer to the number of electrons emitted from the source, which would determine the intensity of the electron beam.
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Select the gas with the highest average kinetic energy per mole at 298 K.
a. carbon dioxide
b. all have the same kinetic energy
c. hydrogen
d. water
e. oxygen
Hydrogen (H2) has the highest average kinetic energy per mole at 298 K. So, the correct option is (c) hydrogen.
What is average kinetic energy?The average energy of gas particles as a result of their mobility is measured by the gas's average kinetic energy. It is closely related to the gas's temperature, which is a gauge of the system's average particle kinetic energy. The following equation provides a gas's typical kinetic energy:
KEavg = kT (3/2)
where T is the absolute temperature of the gas in Kelvin, k is Boltzmann's constant, and KEavg is the average kinetic energy of a gas.
According to question:
Since a gas's average kinetic energy is directly correlated with its temperature, the gas with the lowest molar mass will have the highest average kinetic energy per mole at any given temperature.
Our calculations based on the molar masses of the given gases at standard conditions (298 K, 1 atm) show that hydrogen (H2) has the lowest molar mass at 2.016 g/mol, followed by carbon dioxide (CO2), water (H2O), and oxygen (O2), which have molar masses of 44.01 g/mol, 18.02 g/mol, and 32.00 g/mol, respectively.
In light of this, at 298 K, hydrogen (H2) has the highest average kinetic energy per mole. Hydrogen is the proper response, which is (c).
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PLEZS HELP I DON'T GET IT WILL MARK BRANILEST FOR THE BEST ANSWER :) Imagine that you were flying a small aircraft alone and had to
make an emergency landing in the forest below. Being the
amazing pilot that you are, you land safely, but your aircraft
is badly damaged and will not fly. It will be several days before
help can make it out to you, and you only have five items in
your emergency survival kit.
Would you rather land in a taiga or a temperate coniferous
forest? Why? What would you want in your survival kit and why?
What would you need from the forest to survive? What would the
dangers be?
Write your response in complete sentences.
a 0.20 kg mass on a horizontal spring is pulled back 2.0 cm and released. if, instead, a 0.40 kg mass were used in this same experiment, the total energy of the system would
By the help of potential energy of the spring, so option A) 0.21 m/s is the correct answer.
There is no energy in the spring in its normal state, which is when it is not stretched. However, the spring can store energy when it is in a position that is different from its normal position because of the position. Potential energy is the name for this accumulated energy. The accumulated potential energy as a result of a specific elastic item, such as a spring, deforming is known as the potential energy of the spring. It reflects the labor involved in stretching the spring and is dependent on both the length of the stretch and the spring constant, k.
the energy of the spring = [tex]\frac{1}{2} kx^2[/tex]
so it depends on spring's constant
and change in length
so it is independent of mass
so, A) remains the same is the correct answer
B) total energy =[tex]0.5mv^2= 0.5\times0.2\times0.3^2[/tex]
total energy = [tex]9\times10^-3 J[/tex]
v = 0.21 m/s
so 0.21 m/s is the correct answer
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the two factors that determine gravitational attraction are mass and what else?
Answer:
The distance between the two objects
The force is directly proportional to the product of the masses of the two objects and inversely proportional to the square of the distance between them
Explanation:
a sledge (including load) weighs 5000 n. it is pulled on level snow by a dog team exerting a horizontal force on it. the coefficient of kinetic friction between sledge and snow is 0.05. how much work is done by the dog team pulling the sledge 1000m at constant speed?
On light snow and hard snow, the coulomb friction coefficients were estimated to be 0.03 and 0.05, respectively. In this investigation, the intermediate and final phases of the coulomb friction coefficient were between 0.03 and 0.04. Thus, option B is correct.
What coefficient of kinetic friction for sledge and snow?The snow exerts kinetic frictional force on the sled's runners, slowing down and ultimately stopping the sled from moving. The coefficient of kinetic friction is 0.050.
Determine the value of the friction force.
[tex]F=uN = [0.05] [5000N] = 250N[/tex]
Here, N is the sledge's normal reaction force.
Write the expression for the work done.
[tex]F = f *d[/tex]
Here, d represents the horizontal distance.
[tex]W= (250)N (1000m) = 2.5 * 10^5 J[/tex]
Therefore, 2.5 * 10^5 The dog team pulls the sledge 1000 meters at a consistent speed to complete the task.
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The given question is incomplete. The complete question is given below:
A sledge (including load) weighs 5000 N. It is pulled on level snow by a dog team exerting a horizontal force on it. The coe�cient of kinetic friction between sledge and snow is 0.05. How much work is done by the dog team pulling the sledge 1000 m at constant speed?
A. 2.5×10^4J
B. 2.5×10^5J
C. 5.0×10^5J
D. 2.5×10^6J
E. 5.0×10^6J
What is the sum of kinetic and potential energy?
Answer:
Kinetic energy plus potential energy equals total mechanical energy. The equation for this is KE + PE = Total Mechanical Energy, where KE is kinetic energy, PE is potential energy, and Total Mechanical Energy is the total amount of energy present.
Can someone answer please
Addition work required to move spring by extra 10cm is 12J.
Define sprint constant.
A restoring force that is proportional to the spring's displacement is stored in a spring when it is compressed or relaxed. The force needed to extend or compress a spring by a unit length is specified by the spring constant. The stiffness constant is another name for it.
According to Hooke's Law, the force required to compress or lengthen a spring is inversely related to the length of the spring. By deducting the initial work from the overall job or the completed work, additional work can be computed.
Work done = 1/2 kx^2
x1 = 10cm = 0.1m
x2 = 10+10 = 20cm = 0.2m
W1 = 4J
W1 = 4 = 1/2 k *0.1*0.1
k = 4*2 /0.01 = 800N/m
W2 = 1/2 *800*0.2*'0.2
W2 = 400*0.04 = 16J
So required work is W = W2-W1
W 16-4 = 12J
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An 420 kg car accelerates from 0 to 50 m/s^2 in 4.3 s.
What is the acceleration of the car and what is the force produced by the
car?
The acceleration of the car is [tex]11.63 m/s^2.[/tex] The force produced by the car is 4,876.4 Newtons.
How to calculate the force and acceleration?
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:
acceleration = (50 m/s - 0 m/s) / 4.3 s =[tex]11.63 m/s^2[/tex]
Therefore, the acceleration of the car is[tex]11.63 m/s^2.[/tex]
To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:
force = mass x acceleration
In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:
[tex]force = 420 kg \times 11.63 m/s^2 = 4,876.4 N[/tex]
Therefore, the force produced by the car is 4,876.4 Newtons.
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According to the laws of thermodynamics, all energy transformations are inefficient because every reaction loses some energy to the surroundings as ________.
According to the laws of thermodynamics, all energy transformations are inefficient because every reaction loses some energy to the surroundings as heat
The second law of thermodynamics states that entropy in a system always has a tendency to rise. It claims that because some energy is constantly lost as heat with each energy transfer, no energy transfer mechanism is ideal. The system's entropy rises as a result of the energy wasted. Due to this, only 10% of the energy from one tropic level gets transferred to the next, with the remaining 90% being wasted as heat.
According to the second rule of thermodynamics, some energy is transferred as heat. Numerous biological processes include this ineffective energy transfer.
This indicates that part of the input energy gets transformed into a highly disordered form of energy when energy is transformed into a different form.
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how many ( ) capacitors can be charged from a new - , - battery before the battery is likely exhausted of its stored energy? assume the charging operation has a 50% efficiency. (within three significant digits)
The capacitor is used to store charge.
What is a capacitor?We have to know that the capacitor is the kind of device that can be used to store the electrical charges. As such, the capacitor can be able to be charged from a battery.
This question is incomplete and the mathematical details of the problem are missing. However, we should know that the efficiency of the charging would depend on the kind of battery that has been used and the nature of the capacitor as we have in the question above here.
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The soil sample was contaminated with equal amounts of caesium-137 and
iodine-131
Explain how the risk linked to each isotope has changed between 1986 and 2018
Both isotopes emit the same type of radiation.
Both caesium-137 and iodine-131 emit ionizing radiation, which can damage living tissue and increase the risk of cancer.
What are isotopes?Isotopes are members of the same element's family but have variable numbers of neutrons despite having the same number of protons.
Iodine-131 and caesium-137 both produce ionizing radiation, which can harm living things and raise the risk of cancer.
Due to their varied half-lives and processes of decay, each isotope's danger has changed between 1986 and 2018 despite this.
Caesium-137 degrades gradually over time since it has a longer half-life of roughly 30 years. Iodine-131, on the other hand, degrades swiftly because of its significantly lower half-life of only around 8 days.
Thus, the risk has diminished over time as a result of radioactive decay.
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mass of 3 kg of a saturated liquid-vapor mixture of water is contained in a piston-cylinder device at 160 kpa. initially, 1 kg of the water is in the liquid phase and the rest is in the vapor phase. heat is now transferred to the water, and the piston, which is resting on a set of stops, starts moving when the pressure inside reaches 500 kpa. heat transfer continues until the total volume increases by 20%, while the pressure maintains at 500 kpa. determine (a) the initial and final temperatures, (b) the mass of liquid water when the piston first starts moving, and (c) the work done during this process. also, on your local computer, observe the process on a p-v diagram.
a) initial is 80.12°C and final temperature is 181.28°C b) Initial vapor mass is 2kg and liquid water is 0.7923 kg c) Heat transfer is 324.09 kJ
Law of thermodynamics:
ΔU = Q - W
Find initial state:
Specific volume of the mixture from the tables, which is [tex]0.9505 m^3/kg[/tex].
(a) Water has gone pressure condition (assumption). We can use the steam tables to find the specific volume of the water at the end of the process:
The specific volume of the water: [tex]0.9505 m^3/kg.[/tex]
Volume increases by 20%, so final: [tex]1.1406 m^3/kg[/tex].
Pressure: 500 kPa.
Saturation temperature: 500 kPa is 153.97°C.
Therefore, water is superheated region.
Specific volume water is: [tex]1.1406 m^3/kg.[/tex]
Temperature 181.28°C.
Initial temperature: 80.12°C
Final temperature: 181.28°C.
(b) Water is in pressure under piston.
The specific volume of water: [tex]0.9505 m^3/kg[/tex].
The pressure increases to 500 kPa: superheated vapor region:
Vapor specific volume: [tex]1.4074 m^3/kg[/tex].
Use ideal gas law:
V = m * v
V = [tex]2 kg * 1.4074 m^3/kg = 2.8148 m^3[/tex]
Since volume increases by 20%, initial volume is[tex]2.3457 m^3[/tex].
Use ideal gas law:
P * V = m * R * T
m = P * V / (R * T)
where R: gas constant
At 500 kPa and 181.28°C, the value of R * T is 298.48 kJ/kg.
Substituting:
m = [tex]500 kPa * 2.3457 m^3 / (0.4615 kJ/kg-K * 298.48 K) = 7.5768 kg[/tex]
Therefore, the mass of liquid water when the piston first starts moving is 3 - 7.5768 = -4.5768 kg.
It cannot be negative so therefore, some liquid water is present.
The specific enthalpy of the liquid water is 334.28 kJ/kg.
For saturated vapor = 2779.2 kJ/kg.
Initial enthalpy: 334.28 kJ.
Final pressure: 500 kPa
Final enthalpy:
[tex]H_final = H_initial + m_evap * (h_vap - h_liq)[/tex]
Substituting:
[tex]334.28 kJ + m_evap * (2779.2 kJ/kg - 334.28 kJ/kg) = H_finalH_final = 334.28 kJ + m_evap * 2444.92 kJ/kg[/tex]
Vapor specific volume: 1.4074 m^3/kg
Total volume:
[tex]V_final = V_initial + m_evap * v_vap[/tex]
Substituting:
[tex]2.3457 m^3 + m_evap * 1.4074 m^3/kg = V_final[/tex]
As 20% increase,
1.2 * V_initial = V_final
Substitute:
[tex]1.2 * 2.3457 m^3 = 2.8148 m^3 + m_evap * 1.4074 m^3/kgm_evap = (1.2 * 2.3457 m^3 - 2.8148 m^3)[/tex]
[tex]m_evap = (1.2 * 2.3457 m^3 - 2.8148 m^3) / 1.4074 m^3/kg = 0.2077 kg[/tex]
Mass of liquid when piston moves: 0.7923 kg.
c) To find work, use Thermodynamics 1st law:
Q = deltaU + W
Assume it is adiabatic process.
[tex]deltaU = m_evap * (u_vap - u_liq)[/tex]
The specific internal energy of the liquid water is 334.28 kJ/kg.
For saturated: 2594.2 kJ/kg.
Substitute:
deltaU = 0.2077 kg * (2594.2 kJ/kg - 334.28 kJ/kg) = 468.69 kJ
Work done is:
W = -P * deltaV
The specific volume of the liquid water is 0.0010441 m^3/kg.
The specific volume is 1.4074 m^3/kg.
Substitute:
deltaV = m_evap * (v_vap - v_liq)
Substituting:
deltaV = [tex]0.2077 kg * (1.4074 m^3/kg - 0.0010441 m^3/kg) = 0.2892 m^3[/tex]
Work done:
W = [tex]-500 kPa * 0.2892 m^3 = -144.6 kJ[/tex]
Heat transfer:
Q = [tex]deltaU + W = 468.69 kJ - 144.6 kJ = 324.09 kJ[/tex]
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a uniform beam with a mass of 120 kg and a length of 5.0 m rests on two supports, one at the left edge and one 3.0 m from the left edge. how close to the right edge can a 68-kg person walk along the beam without causing it to tip over?
If uniform beam with a mass of 120 kg and a length of 5.0 m rests on two supports, one at the left edge and one 3.0 m from the left edge then 1.6 m close to the right edge can a 68-kg person walk along the beam without causing it to tip over.
What is mass?
A body's mass is an innate characteristic. Prior to the discovery of the atom and particle physics, it was widely considered to be connected to the amount of matter in a physical body. It was found that different atoms and elementary particles had varying masses even if they theoretically contain the same quantity of stuff. In modern physics, there are a number of theoretically distinct but physically equal theories of mass. Experimentally, the mass of a body can be used to quantify its resistance to acceleration (change in velocity) in the presence of a net force.
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advantages and disadvantages of being firstborn
Answer:
Advantages of being firstborn:
Increased attention and nurturing from parents, as they are often more invested in the success of their first child.Higher levels of academic and intellectual stimulation, as parents may provide more resources and opportunities for learning.Greater responsibility and maturity, as the firstborn often has to help care for younger siblings and take on leadership roles in the family.Disadvantages of being firstborn:
Increased pressure to set a good example, both academically and behaviorally, for younger siblings.Less individual attention from parents as more children are born and added to the family.More conflict with younger siblings as the firstborn may feel resentment about having to share resources and attention.A lack of opportunities for leadership and responsibility later in life, as younger siblings may fill these roles.Explanation:
Answer:
Advantages and disadvantages of being firstborn
Explanation:
Advantages of being a firstborn include having higher self-esteem and academic achievements, being seen as more responsible, and receiving extra attention from parents.
Disadvantages of being a firstborn include the pressure to live up to high expectations and the possibility of feeling resentful that their younger siblings get more freedom.
