Taking into account the Boyle's law, the original pressure of a gas was 2.5 atmospheres and the original volume was 578 mL.
Boyle's lawBoyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. This is because when the volume decreases, the distance that the particles have to travel is less and therefore more shocks occur in each unit of time, that is, the pressure increases.
Mathematically, if the amount of gas and the temperature remain constant, the product of the pressure and the volume always has the same value:
P×V= k
where:
P is the pressure.V is the volume.k is a constant.Being an initial state 1 and a final state 2, it is fulfilled:
P₁×V₁= P₂×V₂
Original volumeIn this case, you know:
P₁= 2.5 atmV₁= ?P₂= 1.7 atmV₂= 850 mLReplacing in Boyle's law:
2.5 atm ×V₁= 1.7 atm ×850 mL
Solving:
V₁= (1.7 atm ×850 mL)÷ 2.5 atm
V₁= 578 mL
The original volume was 578 mL.
Learn more about Boyle's law:
https://brainly.com/question/4147359
#SPJ1
a 0.24 kg blob of clay is thrown at a wall with an initial horizontal velocity of if the clay comes to a stop in what is the average horizontal force on the clay due to the wall?
According to the solving the average force experienced by the clay = 42N.
How much average force as well as impulse is there?The term "impulse of force" refers to the sum of average force and time of application. according to Newton's second law. Providing the mass is constant, it is possible to calculate the impulse of force and discover that it equals the change in momentum of an object. Calculation.
According to the given information:Mass of the blob of clay is m=0.24kg
Initial velocity of the blob of clay is vi=16m/s
Final velocity of the blob of clay is vf=0m/s
The following formula can be used to calculate the change in the clay blob's linear momentum:
ΔP = M(vf - vi)
= (0.24 kg)(0m/s - ( - 16 m/s)
= 3.48 kg . m/s
So, the following formula can be used to calculate the average force that the clay encountered:
F[tex]_a_v_g[/tex] = ΔP/Δt
= (3.84 kg . m/s)/ 91ms
= (3.84 kg . m/s)/91 × 10⁻³ s
= 42N.
According to the solving the average force experienced by the clay = 42N.
To know more about average force visit:
https://brainly.com/question/29781083
#SPJ4
A 0.24 kg blob of clay is thrown at a wall with an initial velocity of 16 m/s. If the clay comes to a stop in 91 ms, what is the average force experienced by the clay?
A) 42 N
B) 26 N
C) 35 N
D) 51 N
a ball is thrown straight up. what are the velocity and acceleration of the ball at the highest point in its path?
When a ball is straight up , then at highest point velocity is zero and acceleration is "acceleration due to gravity" .
When the ball thrown upwards reaches the highest point, the velocity changes from upward to downward, and the acceleration of ball changes from upward to downward.
At this point , the velocity of the ball becomes zero(0) and the acceleration is directed downward, that means that the ball is momentarily at rest position and then begins to fall back down.
The acceleration(g) of the ball which is due to gravity will be constant and will act in downward direction , and this acceleration causes the velocity of ball to increase as it falls back downwards .
Learn more about Acceleration here
https://brainly.com/question/30590216
#SPJ4
Write a rate equation for the following reaction given the indicated mechanism. Click in the answer box to activate the palette
We know that slowest step is the rate determining step so according to rate law, rate equation for this reaction will be : rate = k [ (CH3)3CBr ]
where, k = rate constant
How to explain the rateBecause the rate of reaction only depends upon the nature of tertiary alkyl haide i.e. (CH3)3CBr ( substrate) and not depends upon the nature of attacking species i.e. weak nucleophile (OH - ). therefore the given reaction indicates the SN1 ( i.e. Unimolecular Nucleophilic Substitution) reaction.
Favourable conditions of SN1 reaction :-
(1) tertiary alkyl halide > secondary alkyl haide > primary alkyl halide
(2) weak nucleophile
(3) good leaving group i.e. I > Br > Cl
(4) Polar protic solvent.
Learn more about rate on:
https://brainly.com/question/7694417
#SPJ1
imagine you are standing in the northern hemisphere. looking directly north, you see a star just above the horizon. a little later you notice that it has shifted position slightly. which way did it move?
Answer:
If one is looking north one would see the sun rise in the East (move counterclockwise) - the star will move in the same direction - counterclockwise towards the zenith
Can someone help with this
OE is the required direction. Option B
What is the resultant force?Generally, The resultant force is the overall force acting on an object, taking into account the magnitude and direction of all individual forces acting on it. It can be calculated by adding or subtracting the individual forces vectorially, taking into account their direction and magnitude.
The direction of the resultant force is the same as the direction of the net force acting on the object, and its magnitude is equal to the vector sum of all the individual forces acting on the object.
Like charges repel each other( law of electrostatics ) since the central charge is negatively charged, other charges will be
attracted to it,.
Hence the direction of the resultant electric field will be towards
-Q (OE)
Read more about the resultant force
https://brainly.com/question/16380983
#SPJ1
discuss what will happen if the single cosinusoidal term on the rhs of of eq. 10.58 is replaced by two or more cosinusoidal terms, each with a different drive frequency.
Replacing the single co-sinusoidal term with two or more terms of different frequencies will lead to a more complex motion of the oscillator, with multiple oscillations superimposed on each other.
The resulting motion may exhibit resonance or chaotic behavior, depending on the frequencies of the driving forces and the natural frequency of the oscillator. This occurs when the frequency of the driving force matches the natural frequency of the oscillator, leading to a large amplitude oscillation. Frequencies of the driving forces are not in resonance with the natural frequency of the oscillator, the resulting motion may be chaotic, with the oscillator undergoing complex oscillations of varying frequencies and amplitudes.
To know more Oscillations, here
https://brainly.com/question/30111348
#SPJ4
the two lines on the p-v diagram are called isotherms, lines of constant temperature. which isotherm represents the higher temperature?
The two lines on the p-v diagram would be T2 because of their higher pressure if they were isotherms—lines of constant temperature.
What are the isotherms?An isotherm is a geographic line that connects locations with the same temperature at a particular time. The state of a gas will change on the PV diagram as it undergoes a thermodynamics process, drawing out a path as it progresses.
Isotherms are frequently used in meteorology to depict the temperature distribution at the Earth's surface, or to represent constant level or constant pressure on a chart.
A refrigerator operates isothermally. The refrigerator's mechanism goes through a lot of changes, but the temperature inside remains constant.
Therefore, the environment receives the heat energy that has been dissipated here. Another example of an isothermal process is the heat pump.
Learn more about isotherms here:
https://brainly.com/question/30036683
#SPJ4
the automobile has a speed of 80 ft>s at point a and an acceleration having a magnitude of 10 ft>s2, acting in the direction shown. determine the radius of curvature of the path at point a and the tangential component of acceleration.
The tangential component of acceleration is calculated to be 8.66 ft/s² and the radius of curvature is 1280 ft.
The tangential acceleration is known to be a measure of the rate of change in the magnitude of a velocity vector.
Speed of the automobile = 80 ft/s
Acceleration of the automobile a = 10 ft/s²
Construct a triangle with 30°, 60°, 90° with vector a as the hypotenuse, t and n as the legs.
an is the centripetal acceleration along n direction.
at is the tangential acceleration along t direction.
sinθ = an/a
an = a sinθ = 10 sin30° = 10(1/2) = 5 ft/s²
cosθ = at/a
at = a cosθ = 10 cos30° = 10(1/√2) = 10(0.866) = 8.66 ft/s²
From centripetal acceleration, we know,
an = v²/r
r = v²/an = 80²/ 5 = 1280 ft
Thus, the tangential component of acceleration is 8.66 ft/s² and the radius of curvature is 1280 ft.
The given question is incomplete without the figure. It is given in the attachment below.
To know more about tangential acceleration:
https://brainly.com/question/14748871
#SPJ4
an applied horizontal force of 92.4 n is exerted on a 171 n box. the box is on a horizontal floor and the coefficient of kinetic friction between the box and the floor is 0.386. at what rate will be box accelerate? include a free body diagram.
The box will accelerate at a rate of 1.49 m/s^2.
We first need to calculate the net force acting on it. The net force is the vector sum of all the forces acting on the box, and it determines the acceleration of the box using Newton's Second Law of Motion:
net force = mass x acceleration
[tex]net force = f applied - f_k[/tex]
Since the box is not accelerating vertically, the net force in the vertical direction is zero, which means:
[tex]f_k = μ_k x f_N[/tex]
[tex]net force = f_applied - f_k[/tex]
[tex]= 92.4 N - (0.386) x f_N[/tex]
[tex]= 92.4 N - (0.386) x (171 N)[/tex]
[tex]= 26.0 N[/tex]
[tex]f_N = m x g = 171 N[/tex]
[tex]f_k = μ_k x f_N[/tex]
[tex]= 0.386 * 171 N[/tex]
[tex]= 65.9 N[/tex]
Using Newton's Second Law, we can solve for the acceleration of the box: net force = mass x acceleration
[tex]26.0 N = 17.4 kg x acceleration[/tex]
[tex]acceleration = 1.49 m/s^2[/tex]
The mass of the box is [tex]m = 171 N / 9.81 m/s^2 = 17.4 kg[/tex] (using the acceleration due to gravity g of [tex]9.81 m/s^2[/tex]).
To know more about Newton's Second Law, here
https://brainly.com/question/13447525
#SPJ4
suppose an artificial satellite has been put into circular orbit about the earth, at a distance from the center of the earth equal to 1/4 the distance from the earth's center to the moon's center. in terms of the moon's period tm, what will be the period of the satellite?
The formula [tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex] if an artificial satellite has been put into circular orbit about the earth, at a distance from the center of the earth equal to 1/4 the distance from the earth's center.
To find the period of the satellite, we can use Kepler's Third Law of Planetary Motion, which states that the square of the period of a planet or satellite is proportional to the cube of its average distance from the center of the planet or central body. Mathematically, this can be expressed as:
[tex]T^2 = k * r^3[/tex]
where T is the period, r is the average distance from the center of the planet or central body, and k is a constant of proportionality.
Since we know the period of the moon (tm), we can find the constant of proportionality for the moon's orbit. Assuming the moon's orbit is circular, we have:
[tex]tm^2 = k * rm^3[/tex]
where rm is the average distance from the center of the earth to the moon's center.
Using this relationship, we can find k:
[tex]k = tm^2 / rm^3[/tex]
Next, we can use k to find the period of the satellite, given that the average distance from the center of the earth to the satellite is 1/4 the distance from the center of the earth to the moon's center
[tex]rs = rm / 4[/tex]
So the period of the satellite, Ts, is:
[tex]Ts^2 = k * rs^3[/tex]
[tex]Ts^2 = (tm^2 / rm^3) * (rm / 4)^3[/tex]
[tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex]
So the period of the satellite in terms of the moon's period (tm) is given by the formula:
[tex]Ts = (tm^2 / rm^3)^(1/2) * (rm / 4)^(3/2)[/tex]
Learn more about earth here
https://brainly.com/question/14955258
#SPJ4
a control volume is a system that group of answer choices allows a transfer of matter across its boundary. always has a constant volume always contains the same matter. does not interact in any way with its surroundings.
A control volume is a system that always has a constant volume
What does "control volume" refer to?
A control volume is a volume of interest for a specific analysis in space. The control surface, which is a closed surface, is the surface of the control volume. A coordinate system that may be fixed, moving, or rotational is used to define the surface.
A control volume is a set area of space that is used to examine mass and energy balances for flowing systems using thermodynamics. An actual or hypothetical envelope may serve as the control volume's boundary. The control volume's perimeter is defined by the control surface.
To learn more about volume use link below:
https://brainly.com/question/28058531
#SPJ4
what is the strength and direction of the electric field inside the membrane just before the stimulus (
The strength and direction of the electric field inside the membrane just before the stimulus is zero.
What is electric field?An electric field is a region of space around a charged particle or object that exerts an electric force on other charged objects within its vicinity. Electric fields are created by differences in electric potential, which is the amount of energy contained within a region of space due to the presence of electric charge. Electric fields are represented by lines of force, which indicate the direction of the force and its magnitude. Electric fields are measured in units of volts per meter (V/m).
This is because in the resting state, the membrane potential is in equilibrium, meaning that the total electric field inside the membrane is equal to zero. This is due to the fact that the concentration of positive and negative ions on both sides of the membrane are equal, so the electric field created by the positive ions is canceled out by the electric field created by the negative ions.
To learn more about electric field
https://brainly.com/question/1592046
#SPJ4
There is a bell at the top of a tower that is 45 m high. The bell has a mass of 40kg. The bell has__ energy. Calculate it.
The required energy the bell has at the top of a tower, when the height of the bell and mass of the bell are given is calculated to be 17.6 kJ.
The energy in the above case is nothing but the gravitational potential energy.
Gravitational potential energy = m × g × h
where,
m is mass
h is height
g is gravity
Entering the values in the above equation, we have,
P.E = m × g × h = 40 × 9.8 × 45 = 17640 J = 17.6 kJ
Thus, the required energy the bell has at the top of the tower is calculated to be 17.6 kJ.
To know more about energy:
brainly.com/question/30010944
#SPJ4
a sheet of glass having an index of refraction of 1.40 is to be coated with a film of material having a refractive index of 1.55 such that yellow light with a wavelength of 580 nm (in vacuum) incident normally is preferentially transmitted. what is the minimum thickness of the film in nm that will achieve this result?
The minimum thickness of the film is 169.35 nm.
Wave interference is when two waves collide while traveling through the same medium. A wave is a point-by-point combination of two waves. Constructive interference occurs when the resulting wave is larger than either source wave. Destructive interference occurs when the resulting wave is smaller than the two source waves. Initial wavelength = π due to dense medium.
Δφ1 = π (4dnb/λ)
The minimum thickness of the film is reached after the result is calculated as
Δφ12 = Δφ1 − Δφ2
d= [tex]\frac{525}{3.1}[/tex]
d= 169.35 nm
Minimum thickness of the film will be 169.35 nm.
Learn more about wave
brainly.com/question/956133
#SPJ4
There is a little island off the shore of Brazil where the weather is extremely consistent. From 1911 to 1990, the lowest temperature on the island was 18°C (64°F) and the highest temperature was 32°C (90°F). It is known that the liquid in a standard can of soft drink absorbs 20. 8 kJ of energy when its temperature increases from 18. 0°C to 32. 0°C. If the soft drink has a mass of 0. 355 kg, what is its specific heat capacity?
The specific heat capacity of the soft drink is 58.95 J/g°C.
What is the capacity ?The capacity of something is the maximum amount it can hold or contain. This can refer to physical items, like a bottle or a room, or it can refer to abstract concepts such as memory or knowledge. Capacity is usually measured in terms of volume, weight, or number of items. In terms of physical items, capacity is usually determined by the size, shape, and material used in the creation of the object. For abstract concepts, capacity is usually determined by the individual's ability or knowledge.
The specific heat capacity of the soft drink is 58.95 J/g°C.
We can calculate the specific heat capacity of the soft drink using the following equation:
Specific heat capacity = (Energy absorbed) / (Mass * Change in Temperature)
In this case, the energy absorbed is 20. 8 kJ, the mass is 0. 355 kg, and the change in temperature is 14°C (32°C - 18°C). Plugging these values into the equation, we get:
Specific heat capacity = (20. 8 kJ) / (0. 355 kg * 14°C)
Specific heat capacity = 58.95 J/g°C
To learn more about capacity
https://brainly.com/question/28825214
#SPJ4
two identical traveling waves, moveing in the same direction, areout of phase by pi/3 rad. what is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves?
The amplitude of the resultant wave is equal to ym√(4.5).
What is resultant wave?Resultant wave is a wave that is created when two or more waves overlap. When two or more waves come together they combine and form a new wave, this is known as the resultant wave. The resultant wave is a combination of the individual waves that compose it and is affected by their frequency, amplitude, and phase. The resultant wave will have a frequency, amplitude, and phase that is different from that of the individual waves. When two waves of the same amplitude and frequency meet, the resultant wave will have an amplitude that is the sum of the individual waves' amplitudes.
The amplitude of the resultant wave is equal to the square root of the sum of the squares of the amplitudes of the two traveling waves. In this case,
the amplitude of the resultant wave is equal to the square root of (ym2 + ym2 + 2ym2 cos(π/3)) = ym√(2 + 2 cos(π/3)).
Since cos(π/3) = 1/2, the amplitude of the resultant wave is equal to ym√(4.5).
To learn more about resultant wave
https://brainly.com/question/3082614
#SPJ4
which of the following statements about orbitals is false?group of answer choicesthey cannot contain more than two electrons.they contain electrons of the same energy.they are paths around the nucleus in which the electrons orbit.they correlate with the number of protons in the nucleus.
The false statement about orbitals is they contain electrons of the same energy (b)
The options might be like this :
A. they cannot contain more than two electrons
B. they contain electrons of the same energy
C. they are paths around the nucleus in which the electrons orbit
D. they correlate with the number of protons in the nucleus.
Protons and neutrons are located in an atom's nucleus, while electrons float around the atom in energy levels. An orbital is regions of space within an atom where the electrons are most likely to be found.
In atom, the electrons surround the nucleus and arranged in shells. It makes each successive shell being farther from the nucleus. Electron shells consist of one or more subshells, and subshells consist of one or more atomic orbitals. There are four types of subshells: s (sharp), p (principle), d (diffuse) and f (fundamental).
In terms of energy, electrons located in the same subshell have the same energy, while electrons in different sub shells have different energies. The number of energy levels (n) increases, so there is a greater distance between the nucleus and the outermost orbital. Each orbital can hold no more than two electrons. Two electrons in the same orbital must have opposite spins.
With more protons in the nucleus, the attractive force for electrons to the nucleus is stronger. Thus, the orbital energy becomes more negative (less energy). The presence of proton, not only leads to accurate distance but explains the curious probability nature of the electron and the shape of atomic orbitals.
Learn more about orbitals at :
https://brainly.com/question/18914648
#SPJ4
The statement that is a FALSE fact about orbitals is that "they contain electrons of the same energy." Therefore, the second option is the correct one.
Atom orbitals are regions around the nucleus of an atom where there is a high probability of finding an electron. Each orbital has a specific shape and can hold a certain number of electrons.
The most common types of orbitals are the s, p, d, and f orbitals. Electrons that are on the same orbital have the same energy, but electrons that are on different orbitals have different energies.
Orbitals play an important role in determining the chemical properties of an atom, as the arrangement of electrons in the orbitals determines how an atom will interact with other atoms.
Your question's format is off. The full question should be as follows:
Which of the following statements about orbitals is false?
Group of answer choices:
Learn more about orbitals at brainly.com/question/18914648
#SPJ4
PLEASE HELP ASAP 30 POINTS AND BRAINLY IF RIGHT. The arrow in the photo represents a force.
Which force is equal but opposite to the one shown?
Answer:
the ancer is c I know it because I had the same test or it might have been different but it looks familiar to me
how long does it take light to travel through a 3.8- mm -thick piece of window glass? express your answer in seconds.
Time taken by light to travel through a 3.8 mm thick piece of window glass is [tex]1.9 \times 10^{-11}[/tex] seconds.
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
The refractive index of glass is 1.5.
Speed of light in air is [tex]3 \times 10^8[/tex] m/s.
Using snell's law,
[tex]\dfrac{n_1}{n_2} = \dfrac{v_2}{v_1}[/tex]
The speed of light in glass is,
[tex]\dfrac{1}{1.5} \times 3 \times 10^8[/tex]
[tex]2 \times 10^8[/tex] m/s
The formula for time is given as [Time = Distance ÷ Speed].
To travel a distance of 3.8 mm in glass, time taken will be,
Time = Distance/speed
Time = [tex]\dfrac{3.8 \times 10^{-3}}{2\times 10^8}[/tex]
Time = [tex]1.9 \times 10^{-11}[/tex] seconds
Time taken by light is [tex]1.9 \times 10^{-11}[/tex] s.
To know more about the speed, here
brainly.com/question/6280317
#SPJ4
the magnitude of the charge of the electron is group of answer choices exactly the same as the magnitude of the charge of the proton. much greater than the magnitude of the charge of the proton. much less than the magnitude of the charge of the proton. about the same as the magnitude of the charge of the proton. zero.
The same magnitude with the opposite sign (option-4) is the magnitude of the charge of the electron and the proton.
1) The atom's nucleus is surrounded by electrons, which are negative particles (in regions called orbitals).
2) The atom's nucleus contains the protons, which are the positive particles.
3) The atom's nucleus contains the same number of protons as there are electrons in its orbitals.
4) Because protons and electrons are equal in number and have the same magnitude but different signs of charge, atoms are neutral (neither positive nor negative): Positive Plus negative equals zero, or (+) + (-)=0.
Learn more about electron
brainly.com/question/1255220
#SPJ4
a 7.2 nc point charge and a - 2.7 nc point charge are 3.0 cm apart. what is the electric field strength at the midpoint between the two charges?
The electric field strength at the midpoint between two charges is [tex]10^3[/tex]N/C.
The electric field strength at a point in space is defined as the force per unit charge at that point. The electric field strength due to a point charge can be calculated using Coulomb's law: E = kQ / r^2, where k is the Coulomb constant, Q is the charge of the point charge, and r is the distance from the point charge to the point where the field strength is being calculated.
In this case, the electric field strength at the midpoint between the two charges can be calculated by finding the vector sum of the electric field strengths due to each of the two charges. The midpoint is equidistant from both charges, so the electric field strengths due to each charge will have equal magnitude and point in opposite directions.
Thus, the vector sum of the two electric field strengths will be equal to their difference, or E = kQ / [tex]r^2[/tex], where Q is the net charge (7.2 nC - (-2.7 nC) = 9.9 nC) and r is the distance from each charge to the midpoint (3.0 cm). Plugging in the numbers, the electric field strength is
E = [tex](9 * 10^9 N m^2/C^2) * (9.9 * 10^{-9} C) / (3 * 10^{-2} m)^2 = 10^3 N/C[/tex].
Learn more about Electric Field:
https://brainly.com/question/28027633
#SPJ4
determine the stretch in spring ac (in cm.) for for equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position. determine the stretch in spring ac in cm.
The stretch in spring ac (in cm.) for the equilibrium of the 1.9-kg block. the springs are shown in the equilibrium position is 0.9 cm.The two springs are in equilibrium when the block is suspended between them.
The two springs have the same spring constants (k), and the same force is exerted on the block by each spring. Therefore, the distance between the block and the wall is equal to the stretch in spring AC. In order to determine the stretch in spring AC, we can use the equation F = k * x, where F is the force exerted by the spring, k is the spring constant, and x is the stretch in the spring.
Since the mass of the block is 1.9 kg, the force exerted by the spring is 1.9 kg * 9.8 m/s2, which is equal to 18.82 N. We also know that the spring constant is equal to 18 N/m. Substituting these values into the equation yields 18.82 N = 18 N/m * x. Solving for x gives us a stretch of 0.9 cm.
To know more about spring refer to the link brainly.com/question/14670501
#SPJ4
a force pair is created when you push on a large crate that rests on the floor. the crate does not move when pushed. which free-body diagram correctly represents the forces acting on the crate? (note: vectors are not drawn to scale)
Each half of the force pair acts on a different object Free-body diagram correctly represents the forces acting on the crate.
In physics and engineering, a loose body diagram (FBD; additionally known as a pressure diagram) is a graphical example used to visualize the implemented forces, moments, and resulting reactions on a body in a given condition. It depicts a body or connected bodies with all the implemented forces and moments, and reactions, which act at the body(ies). The frame might also encompass multiple internal participants (along with a truss), or be a compact frame (together with a beam). a chain of loose bodies and other diagrams can be necessary to remedy complicated troubles.
Loose frame diagrams are used to visualize forces and moments implemented in a body and to calculate reactions in mechanics issues. those diagrams are frequently used to decide the loading of character structural components and to calculate inner forces inside a structure. they're used by maximum engineering disciplines from Biomechanics to Structural Engineering.
To learn more about Free-body diagrams visit here:
brainly.com/question/30054881
#SPJ4
Problem 7
A projectile launched straight up into the air has a velocity of 10 m/s and a mass of 1-kg.
A. What is the KE of the projectile after it is launched?
B. What is the distance it will travel into the air?
A. The KE of the projectile after it is launched is 50J.
B. The projectile will travel 19.62 metres into the air before reaching its maximum height.
Given :
A. The kinetic energy (KE) of the projectile can be calculated as follows:
KE = [tex]1/2 * m * v^2[/tex]
where m is the projectile's mass and v is its speed.
KE = [tex]1/2 * 1 kg * (10 m/s)^2 = 50 J[/tex]
B. The distance travelled by the projectile can be calculated using the equation of motion:
y = [tex]v_0 * t + 1/2 * a * t^2[/tex]
where an is the gravitational acceleration (9.8 m/s2), y is height, v 0 is initial velocity, t is time, and v 0 is initial velocity
We can set v 0 = 10 m/s and a = -9.8 m/s2 because the projectile was fired vertically up into the air at a velocity of 10 m/s.
By setting y = 0 (the point at which the projectile reaches its highest point and stops), calculating the time t, and then re-inserting the result into the equation for y, the following can be done:
[tex]0 = 10 m/s * t - 4.9 * t^2\\t = 10 m/s / 4.9 m/s^2 = 2.04 s\\y = 10 m/s * 2.04 s - 4.9 * (2.04 s)^2 = 19.62 m[/tex]
So, the projectile will travel a distance of 19.62 m into the air before reaching its maximum height.
What is a projectile's kinetic energy when it is at its highest point?
Half of the projectile's initial kinetic energy remains at its highest point.
What is the formula for kinetic energy?
Kinetic energy (K.E.) is directly inversely correlated with an object's mass and the square of its velocity: K.E. = / m v2.The kinetic energy is measured in kilograms-meters squared per second squared, where the mass is measured in kilogrammes and the velocity is measured in metres per second.
At what point of projectile motion kinetic energy is minimum?
A projectile's highest point has the least amount of kinetic energy. As a result, the horizontal distance is equal to 0 and the range R.
To know more about projectile motion:
https://brainly.com/question/23578639
#SPJ1
if you wanted to sail around the globe but wanted to remain south of africa and south america, what single current could you use to speed up your trip?
Answer: electromagnetism
Explanation: hope this hel[ps
magine you are the observer shown on earth in the northern hemisphere. in seven months from the time shown, which constellation will be highest in the sky at midnight?
As an observer on Earth in the northern hemisphere, the constellation that will be highest in the sky at midnight in seven months will depend on the current season and the time of year.
Assuming that the current time is in February, the highest constellation in the sky at midnight in seven months, which would be September, will be Pisces. It rises in the east and sets in the west and reaches its highest point in the sky at around midnight during September. For example, in June, the highest constellation would be Scorpius, and in December, it would be Orion. This is because the Earth's orbit around the sun and its axial tilt change throughout the year, causing different constellations to be visible at different times.
To Know more about Northern hemisphere, here
https://brainly.com/question/20189582
#SPJ4
A snow boarder weights 300 N. The area of snow border is 0.5 m2. What is pressure on the snow?
Answer:
600 Pa
Explanation:
see attachment
hope this helps
Calculate the work done by a 50 N force pushing a pencil 0.5 m
The workdone in pushing the pencil through a distance of 0.5 m is 25 J.
What is work?
Work is the product of force and distance.
To calculate the work done in pushing the pencil, we use the formula below.
Formula:
W = Fd................................. Equation 1Where:
W = Work done in pushing the pencilF = Force = 50 Nd = 0.5 mFrom the question,
Given:
W = 50×0.5W = 25 JHence, the work done is 25 J
Learn more about work here: https://brainly.com/question/8119756
#SPJ1
A sphere with radius 2. 0 mm carries a 3 μc charge. What is the potential difference, vb - va , between point b 3 m from the center of the sphere and point a 7 m from the center of the sphere? (the value of k is 9. 0 × 109 n∙m2/c2. )
The potential difference between point b and point a on the charged sphere with a 3 μC charge and a radius of 2.0 mm is [tex]1.57 * 10^5[/tex] volts.
The potential difference between two points on a charged sphere can be calculated using the formula for electric potential: V = k * Q / r, where k is Coulomb's constant ([tex]9.0 * 10^9 Nm^2/C^2[/tex]), Q is the charge on the sphere (3 μC), and r is the distance from the center of the sphere to the point in question. To find the potential difference, we subtract the potential at point a from the potential at point b.
Put values so find that the potential at point a is:
Va = k * Q / ra = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (7 m) = [tex]1.29 * 10^5[/tex] V.
And the potential at point b is:
Vb = k * Q / rb = ([tex]9.0 * 10^9 Nm^2/C^2[/tex]) * ([tex]3 * 10^-6 C[/tex]) / (3 m) = [tex]2.86 * 10^5[/tex] V.
The potential difference between the two points is then:
Vb - Va = [tex]2.86 * 10^5 V - 1.29 * 10^5 V[/tex] = [tex]1.57 * 10^5[/tex] V.
Learn more about potential difference here:
https://brainly.com/question/12198573
#SPJ4
What galaxy type is full of gas and dust?
Answer: I hope this helps it between Irregular galaxies or Sprial galaxies I think it’s Sprial
Explanation:
Irregular galaxies tend to contain lots of gas and dust. As a consequence, irregular galaxies contain copious star formation
Spiral galaxies have a lot of gas, dust and newly forming stars. Since they have a lot of hot, young stars, they are often among the brightest galaxies in the universe. About 20% of all galaxies are spirals. We live in a spiral galaxy called the Milky Way.
Spiral galaxies are made up of young stars, gas, and dust. You can see the dust in the dark spots of the spiral arms. The gas and dust are used to make new stars, and these baby stars glow very brightly. Astronomers use these facts to determine that spirals are typically young galaxies.