When a mass of sunken lead is resting against the bottom in a glass of water, and put it in a small boat of negligible mass, then float the boat in the water; what will happen is: The floating lead displaces a volume of water whose weight equals the lead's weight, and the sunken lead displaces a volume of water equal the lead's own volume. So, the correct answers are option A and D.
This is happened because according to Archimede's Principle which states that a body immersed in a fluid experiences an upthrust equal to the weight of the fluid displaced, and this is fundamental to the equilibrium of a body floating in still water.
What is mass?Mass is the amount of matter which an object contains. The more matter something has, the more it will weigh. For example, a horse has more matter in it than a cat thus, its mass is heavier. The size of something does not determine how much matter an object has.
Mass (symbolized m) is a dimensionless quantity representing the amount of matter in a particle or object. The standard unit of mass in the International System (SI) is the kilogram (kg).
In physics, mass is a quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance which a body of matter offers to a change in its speed or position upon the application of a force.
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Here’s another one :(
A CD has an initial angular speed of 600 rpm. If the disc stop rotating after 4 seconds, what is its angular acceleration?
Answer:
-15.708 rad/s^2
Explanation:
First, let us covert everything to the same unit. For me, I find dealing with radians/sec more intuitive, but you can solve it in rpm. We are told that the initial angular speed is 600 rpm and after 4 seconds it stops. Let's convert 600 rpm into radians/sec. To do this, multiply by 2*pi/60. This gives 62.83 rad/s. Now let's review our info:
\(\omega_i = 600rpm = 62.83rad/s\\\omega_f = 0\\t = 4s\\\alpha = ?\)
Now we look up angular kinematics equations and the equation that has these parameters is
\(\omega=\omega_0+\alpha t\)
Substitute our values in:
\(\omega=\omega_0+\alpha t\\0=62.83\frac{rad}{s}+\alpha *(4s)\\\alpha = -15.708\frac{rad}{s^2}\)
A toy car with a mass of 5.5 kg is moving horizontally over flat ground at a speed of 2.1 m/s. An unknown force then directly pushes the car for a distance of 3 meters, after which the car has a speed of 7.3 m/s. You may assume that air resistance and friction are both negligible. What was the magnitude of the unknown force
Answer:
The magnitude of the unknown force is 44.8 N.
Explanation:
The force can be found with Newton's second law:
\( F = ma \)
Where:
m: is the mass of the toy car = 5.5 kg
a: is the acceleration
F: is the force =?
We can calculate the acceleration with the following kinematic equation:
\( v_{f}^{2} = v_{0}^{2} + 2ad \)
Where:
\( v_{f} \): is the final speed = 7.3 m/s
\( v_{0} \): is the initial speed = 2.1 m/s
d: is the distance traveled = 3 m
Hence, the acceleration is:
\( a = \frac{v_{f}^{2} - v_{0}^{2}}{2d} = \frac{(7.3 m/s)^{2} - (2.1 m/s)^{2}}{2*3 m} = 8.15 m/s^{2} \)
Finally, the magnitude of the force is:
\(F = ma = 5.5 kg*8.15 m/s^{2} = 44.8 N\)
Therefore, the magnitude of the unknown force is 44.8 N.
I hope it helps you!
compared with uranus, the planet neptune is compared with uranus, the planet neptune is roughly the same size. much larger. much smaller. tilted on its side.
Compared with Uranus, the planet Neptune is roughly the same size.
Uranus and Neptune are both gas giants in our solar system and are often compared due to their similarities. When it comes to size, the two planets have relatively similar dimensions.
Uranus has a diameter of approximately 51,118 kilometers, while Neptune has a slightly larger diameter of around 49,528 kilometers. The difference in size is relatively small, considering the vast scale of the planets.
Both Uranus and Neptune have similar compositions, primarily consisting of hydrogen and helium, with traces of other compounds such as methane and water. They both belong to the class of planets known as ice giants.
In terms of mass, Neptune is slightly more massive than Uranus. Neptune has a mass approximately 17 times that of Earth, while Uranus has a mass approximately 14.5 times that of Earth. This means that Neptune has a slightly higher gravitational pull compared to Uranus.
While their sizes are relatively similar, there are notable differences between the two planets. One notable distinction is the coloration of their atmospheres. Uranus appears as a bluish-green planet, while Neptune exhibits a deeper blue coloration.
Additionally, Uranus is famous for its extreme axial tilt, being tilted on its side at an angle of about 98 degrees. This unique characteristic sets Uranus apart from other planets, including Neptune, which has a more typical axial tilt of about 28.3 degrees.
In summary, while there are similarities between Uranus and Neptune in terms of size, composition, and classification as ice giants, Uranus stands out due to its significant axial tilt, while Neptune exhibits a more conventional orientation.
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Which of the following does light demonstrate?
A. Both particle and wave characteristics
B. Particle characteristics only
C. Neither particle nor wave characteristics
D. Wave characteristics only
Answer:
A
Explanation:
Light has both wave and particle characteristics. It behaves as wave in examples such as Reflection, refraction, diffraction, interference. It behaves as a particle in photoelectric effect, compton's effect etc. Light is an example of wave-particle duality.
Light demonstrate both particle and wave characteristics. It can be understood by photo electric effect .
What is light?Light behaves like a particle in some phenomenon , for example photoelectric effect and like wave in some phenomenon , for example reflection and refraction , in this wave light has dual nature.
What is Photoelectric effect ?Emission of photo electrons due to incidence of light on a surface, is called photo electric effect. For it the energy of the incident light should be greater than the work function of the material on which light incidents.
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Starting in 2009, astronomers have been discovering really cool objects out there (cool here meaning low-temperature, as well as really interesting), which they have called Y dwarfs. What distinguishes these brown dwarfs from others that astronomers have discovered
These brown dwarfs can be distinguished from other star-like objects because they exhibit absorption lines from the ammonia molecule in the spectra.
What are brown dwarfs?Brown dwarfs are star-like (small) objects in the external space that exhibit very low cold temperatures.
Brown dwarfs are not only small stars but also huge gaseous planets such as Saturn and Jupiter.
In consequence, brown dwarfs are a wide category that includes both planets and star-like objects.
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how is enormous energy produced in sun?write with chical equation.
Answer
This is done by Nuclear Fusion.
Light nuclei like Hydrogen(Deuterium) combine to produce new Elements like Helium.
²H + ²H === ⁴He + ENERGY
The subscripts of the Hydrogen atoms are 1
While that of Helium is 2. My Keyboard couldn't type those
W=225 J
P=25 W
t=?
what's T
Answer:
T is 9s.
Explanation:
In power formula Power (P) = work done(W)/time (t) . Make time(T) the subject.
Therefore time is work done÷ power
Time (T) = 225J÷25W
Time(T) = 9s
Therefore T is 9s.
How does land use change as the human population increases?
O A. More land becomes available for habitats.
出
FREE
O B. Urban land becomes cropland.
C. Grasslands are used for cropland.
D. Developed land is converted to wetlands.
19
Answer:
C.
Explanation:
grassland are used for cropland
In an ecosystem, as the human population increases grasslands are used for cropland.
What is an ecosystem?Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.
Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.
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Figure ABCDE is the result of a 180º rotation of figure LMNOP about point F.
Which angle in the pre-image corresponds to ∠D in the image?
Enter your answer in the box.
∠
Figure L M N O P is rotated 180 degrees about a point resulting in image A B C D E.
The angle in the pre-image that corresponds to ∠D in the image is ∠P.
What is correspond?Correspond is a verb that means to communicate with another person or group in writing. It can also mean to match or correspond in kind or degree. Correspondence is the exchange of written communication between two people or groups. For example, a company might correspond with its customers through email, letters, or other forms of communication. Correspondence can also refer to the relationship between two or more things that are similar or have a connection. In this context, it means that two or more things correspond to each other in some way.
This is because when a figure is rotated 180 degrees about a point, the angle in the pre-image will be the same as the angle in the image, but in the opposite direction. Therefore, in this case, the angle in the pre-image that corresponds to ∠D in the image is ∠P.
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the source of a magnetic field is a moving _________.
Answer:
electron
Explanation:
The source of a magnetic field is a moving _________.
\/
The source of a magnetic field is a moving electron.
The spinning of the electrons around the nucleus of an atom creates a magnetic field.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
An object is known to have balanced forces on it. Which of the following would be a true statement?
If an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
If the forces acting on an object is balanced, it means that the net force acting on the body is zero.
According to Newton's law of motion, an object will continue in a state of motion in a straight line unless acted upon by an external force.
This external force might be a balanced or unbalanced force. Hence if an object has a balanced force on it, there is a possibility that the object may be in a position i.e. there is no change in speed and direction of the body.
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FOR CHEMISTRY:
A small package of Reese's Pieces candy contains 234 calories and 12 grams of fat. Assuming the package contains 36 pieces, what is the maximum number of pieces I could eat without exceeding 150 calories?
The maximum number of 23 pieces a person could eat without exceeding 150 calories.
What are calories?A calorie can be described as unit of energy. The large calorie, food calorie was originally described as the amount of heat required to raise the temperature of 1 Kg of water by one degree Celsius.
The small calorie was defined as the amount of heat required to cause the same increase in one gram of water. In physics and chemistry, the calorie usually refers to a small unit of energy. One calorie is equal to exactly 4.184 Joules.
Given, the 234 calories contained in pieces of candy = 36
Then 150 calories contain by pieces of candy = (36/234) ×150 = 23
Therefore, a maximum number of 23 pieces someone could eat without exceeding 150 calories.
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A body of mass 5kg is connected by a light inelastic string which is passed over a fixed frictionless pulley to a moveable frictionless pulley of mass 1kg over which is wrapped another light inelastic string which connects masses 3kg and 2kg. Find 1) the acceleration of the masses.
2) the tensions in the strings in terms of g, the acceleration dey to gravity
(a) The acceleration of the masses is determined as 1.1 m/s² in the direction of the 5 kg mass.
(b) The tension in the string in terms of gravity is T = g.
What is the acceleration of the masses?(a) The acceleration of the masses is calculated by applying Newton's second law of motion.
F(net) = ma
where;
m is the massesa is the acceleration of the masses(5 kg x 9.8 m/s² ) - (1 kg + 3 kg )9.8 m/s² = ma
9.8 N = (5kg + 1 kg + 3 kg )a
9.8 = 9a
a = 9.8 / 9
a = 1.1 m/s² in the direction of the 5 kg mass.
(b) The tension in the string in terms of gravity is calculated as follows;
T = ( 5kg)g - (1 kg + 3 kg ) g
T = 5g - 4g
T = g
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There is friction between the block and the
table.
The suspended 2 kg mass on the left is
moving up, the 4 kg mass slides to the right
on the table, and the suspended mass 4 kg on
the right is moving down.
The acceleration of gravity is 9.8 m/s
2
.What is the magnitude of the acceleration
of the system?
1. 1.67253
2. 1.9845
3. 1.75311
4. 2.47673
5. 2.1315
6. 2.058
7. 2.548
8. 1.33933
9. 1.5288
10. 2.03127
Answer in units of m/s
2
.
Answer:
5 no
Explanation:
actually the 4kg lying on table has no influence
it slides towards 4kg weight hung
as it has excess 2kg force
force=miu × m ×g
The magnitude of acceleration of the entire system is \(2.1315 \;\rm m/s^{2}\). Hence, option (5) is correct.
Given data:
The masses suspended from the table are, m = 2 kg and m' = 4 kg.
And the mass kept on the table is, m'' = 4 kg.
The frictional force will oppose the motion of mass 4 kg, kept on the table. Then the required value of frictional force is,
\(f = \mu \times m'' \times g\\\\f = 0.11 \times 4 \times 9.8\\\\f = 4.312 \;\rm N\)
Since, the mass kept on the right side is more. Then at equilibrium,
-f + m''g + (m' +m)a = m'g
Here,
a is the magnitude of acceleration of the system.
Solving as,
-4.312+ 4(9.8) + (4 -2)a = 4(9.8)
2a = 4.312
\(a \approx 2.1315 \;\rm m/s^{2}\)
Thus, we can conclude that the magnitude of acceleration of the entire system is \(2.1315 \;\rm m/s^{2}\). Hence, option (5) is correct.
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Two identical 1500k car moving perpendicular to each other. One moves with a speed of 25 m/s due north and the other moves at15 m/s due east. What is the total momentum of the system?
The total momentum of the system is 22500 kg-m/s i + 37500 kg-m/s j.
Momentum is given by the formula,
P = m * v
where, m is mass
v is velocity
Given that,
Mass of the first car m₁ = 1500 kg
Mass of the second car m₂ = 1500 kg
Velocity of the first car v₁ = 25 m/s
Velocity of the second car v₂ = 15 m/s
The momentum of the first car is p₁ = m₁ * v₁ = 1500 * 25 = 37500 kg-m/s j
The momentum of the second car is p₂ = m₂ * v₂ = 1500 * 15 = 22500 kg-m/s i
The total momentum of the system is sum of momentum of both the cars.
⇒ 22500 kg-m/s i + 37500 kg-m/s j
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75 J of heat are added to a heat engine and 50 J of thermal energy is lost in the process. Determine the work done by the engine (in Joules)?
Answer:
The work done by the engine is 50 J.
Explanation:
Given;
amount of heat energy added to the heat engine, Q = 75 J
energy lost in the process, E = 50 J
let the work done by the engine (system) = W
Apply the first law of thermodynamic;
ΔU = Q - W
where;
ΔU is change in internal energy = 75 J - 50 J = 25 J
25 = 75 - W
25 - 75 = - W
-50 J = - W
W = 50 J
Therefore, the work done by the engine is 50 J.
The student concluded that the current in the LDR is inversely proportional to the potential difference across the LDR. Explain why the student's conclusion is incorrect.
The given question is incomplete as the essential graphical result is missing, however the correct graph is attached with the answer :
Answer:
The correct answer is - According to the graph, the current in the LDR is directly proportional to the potential difference across the LDR.
Explanation:
Two variables that are in directly proportion will consistently deliver a straight-line graph that goes through the beginning. On the off chance that the steady of proportionality is sure, the chart will have a positive slope. On the off chance that the steady is negative, the graph will have a negative angle.
In the given data and graph of the result collected by the student shows a straight line in between the current in the LDR and the potential difference across the LDR. It means they are in relation of directly proportional.
Thus, the correct answer is - According to the graph, the current in the LDR is directly proportional to the potential difference across the LDR.
the magnitude system. use the definitions of the magnitude system to answer each of the following questions. a. which is brighter in our sky, a star with apparent magnitude 2 or a star with apparent magnitude 7? by how much? b. which has a greater luminosity, a star with absolute magnitude -4 or a star with absolute magnitude u? by how much?
a. Brightness in the sky is determined by the apparent magnitude of a star. A star with an apparent magnitude of 2 is brighter than a star with an apparent magnitude of 7.
The difference in brightness between the two stars is by a factor of 100 (2.5 magnitudes correspond to a factor of 10 in brightness, so 5 magnitudes represent a factor of 100).
The magnitude system quantifies the brightness of celestial objects. A lower magnitude value indicates a brighter object. The difference in magnitude between two stars corresponds to a ratio in brightness. Each magnitude difference of 5 corresponds to a factor of 100 in brightness. Therefore, a star with an apparent magnitude of 2 is 100 times brighter than a star with an apparent magnitude of 7.
b. Luminosity is a measure of the intrinsic brightness of a star. Absolute magnitude is the apparent magnitude that a star would have if it were located at a distance of 10 parsecs (about 32.6 light-years) from Earth.
A star with an absolute magnitude of -4 has a greater luminosity than a star with an absolute magnitude of u (the value of "u" is not specified). Without the specific value for the absolute magnitude "u," it is not possible to determine the exact difference in luminosity between the two stars.
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What is brewster’s angle for light traveling in water that is reflected from crown glass?.
The correct answer to Brewster’s angle is 48.8 degrees.
What is Brewsters's law?
The Brewster's angle is the angle of incidence at which polarised light travels perfectly through a clear dielectric surface without being refracted. The light that is reflected from the surface when unpolarized light is incident at this angle is therefore perfectly polarised.
This equation's name is Brewster's law, and the angle it specifies is Brewster's angle. For a glass medium in air, Brewster's angle for visible light is around 56° (n2 = 1.5), while it is roughly 53° for an air-water interface (n2 = 1.33)
Brewster's Angle is defined as the inverse tan of n 2 over n 1. The inverse tan of 1.52 divided by 1.33 is thus 48.8 degrees.
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Make the following conversion:
A) 60∘C into F
B)70∘C into K
C) 303∘K into C
D) 140∘F into C
If you don't know what I mean by C, F, K and ∘ it meaning is:
C- Celsius
F- Fahrenheit
K- kelvin
∘- degree sign
Answer:
Kelvin to Celsius: C = K - 273 (C = K - 273.15 if you want to
Which of the following products will have elastic demand (alcohol, gasoline, travel souvenirs, cigarettes)
The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.
What is elastic demand?Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.
When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.
Cigarettes, of all the products listed above, are likely to have an elastic demand.
This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.
Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.
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a charge (uniform linear density = 9.0 nc/m) is distributed along the x axis from x = 0 to x = 3.0 m. determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.
The magnitude of the electric field at x = 4.0 m, due to a charge distribution with a uniform linear density of 9.0 nC/m along the x-axis from x = 0 to x = 3.0 m, is approximately 3.19 x 10⁶ N/C. This is calculated by integrating the contributions from infinitesimally small charge elements using Coulomb's Law and the principle of superposition.
To determine the magnitude of the electric field at a point on the x-axis with x = 4.0 m, we can use the principle of superposition.
Given:
Uniform linear charge density, λ = 9.0 nC/m
Length of the charge distribution, L = 3.0 m
Point on the x-axis, x = 4.0 m
ε₀ = 8.854 x 10⁻¹² C²/(N m²) (vacuum permittivity)
The electric field at a point due to a charged line segment can be calculated using Coulomb's Law. We can break down the charged line segment from x = 0 to x = 3.0 m into infinitesimally small charge elements, each of length dx. The electric field contribution from each charge element can be calculated as dE = (1 / 4πε₀) * (dq / r²), where r is the distance from the charge element to the point of interest.
To find the total electric field at the point x = 4.0 m, we need to integrate the contributions from all the infinitesimally small charge elements.
Let's denote x' as the position along the charged line segment, ranging from 0 to 3.0 m. The total electric field at x = 4.0 m can be calculated as follows:
E = ∫[0 to 3.0] (1 / 4πε₀) * (λ * dx' / (x - x')²)
Now we substitute the given values into the integral:
E = ∫[0 to 3.0] (1 / (4π * 8.854 x 10⁻¹²)) * (9.0 * 10⁻⁹ C/m * dx' / (4.0 m - x')²)
Integrating the expression with the appropriate limits:
E = (1 / (4π * 8.854 x 10⁻¹²)) * 9.0 * 10⁻⁹ C/m * ∫[0 to 3.0] dx' / (4.0 m - x')²
To solve the integral, we can substitute u = 4.0 m - x':
E = (1 / (4π * 8.854 x 10⁻¹²)) * 9.0 * 10⁻⁹ C/m * ∫[4.0 to 1.0] du / u²
Integrating and simplifying further:
E = (1 / (4π * 8.854 x 10⁻¹²)) * 9.0 * 10⁻⁹ C/m * [-1/u] evaluated from 4.0 to 1.0
E = (1 / (4π * 8.854 x 10⁻¹²)) * 9.0 * 10⁻⁹ C/m * (-1/1.0 + 1/4.0)
Finally, we substitute the values and calculate the electric field:
E = (1 / (4π * 8.854 x 10⁻¹²)) * 9.0 * 10⁻⁹ C/m * (-1 + 0.25)
E = (9.0 * 10⁻⁹ C/m) / (4π * 8.854 x 10⁻¹²) * (-0.75)
E ≈ -3.19 x 10⁶ N/C
The magnitude of the electric field at x = 4.0 m is approximately
3.19 x 10⁶ N/C.
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Which of the following is not a unit of pressure?
atmosphere
psi
\(\mathrm{N} / \mathrm{m}^2\)
\(\mathrm{mm}\) of mercury
pascal
none of the above
Answer:
They are all units of pressure
Waves are caused by which energy
Answer:
Waves are most commonly caused by wind.
Explanation:
Waves are most commonly caused by wind. Wind-driven waves, or surface waves, are created by the friction between wind and surface water. As wind blows across the surface of the ocean or a lake, the continual disturbance creates a wave crest.
What is the ostrich's average acceleration from 9.0 to 18 seconds?
The average acceleration from 9 to 18 seconds is 6 meters per second.
The graph shows that from 9 to 18 seconds the speed of the ostrich stays at a steady 6 meters per second.
Valerie's monthly income is $450 and her monthly outflows are $425. How much money could Valerie save in the next eight months without changing her income or spending pattern
Answer:
$200
Explanation:
\(total \:saved = months(monthly \: income - monthly \: outflows)\)
\(x = 8(450 - 425)\)
\( \times = 8(25)\)
you're going to find the difference of the two values
The money that could Valerie save in the next eight months without changing her income or spending pattern is $200.
What are the types of income?Passive income is the form of revenue obtained from renting out a home. It is a consistent source of revenue that requires minimal work to maintain.
Earnings from a rental property, limited partnership, or other enterprise are some examples. Gross income includes all sources of revenue. It is an individual's entire personal income before taxes and deductions.
Taxable income is defined as an individual's or a business firm's earnings (amount of income) that are used as a basis by federal or state authorities to calculate the tax to be levied on them.
Total saved money = months (monthly income - monthly out of flow)
x = 8($450 - $425)
x = 8(25)
Therefore, Valerie might save $200 over the next eight months without changing her salary or spending habits.
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A football thrown by a professional quarterback goes farther than one thrown by a 10-year old. What Newton Law is this?
Answer:
2nd law of motion
Explanation:
Answer:
Newton's 2nd Law of Motion
Explanation:
The amount of force needed to make an object change its acceleration depends on the mass of the object. In other words, the amount of force thrown by a professional quarter-back has more acceleration from his mass.
Two pistons are in an enclosed volume with fluid in between them, such that
movement in one piston affects the location of the other piston, as shown in
the image below. If an explosion occurs in the piston on the left such that it
moves 1 m, what is the distance that the piston on the right will move
(assuming that friction can be neglected)? (Recall that work on an object is
equal to the force on the object times the distance it is moved, and that work
is conserved.)
Cross-sectional area - 25 mm
Cross-sectional area = 0,5 m
A. 2 m
B. 0.5 m
C. 1 m
D. 0.25 m
Answer:
The pressure in the fluid just below Piston 1 is
p_1=F_1/A_1=361\text{ Pa}.p
1
=F
1
/A
1
=361 Pa.
The pressure in the fluid just below Piston 2 is the same according to Pascal's law:
p_2=p_1=361\text{ Pa}.p
2
=p
1
=361 Pa.
The force being exerted on Piston 2 to keep the two pistons in equilibrium is
F_2=p_2A_2=330\text{ N}.F
2
=p
2
A
2
=330 N.
Explanation:
5)
Which statement is true about a liquid but not a gas?
A)
It has more internal energy than the solid state.
B)
It will change shape and take the shape of its container.
It allows particle to move past each other relatively easily.
Eliminate
D)
It has close to a constant volume as pressure is applied to it.