Blue light has a shorter wavelength than red light, so it would be expected to have a greater resolution. However, resolution is not solely determined by the color of light used.
Blue light has a shorter wavelength than red light, which allows it to be focused to a smaller spot and produce a higher resolution image. When it comes to resolution, blue light has an advantage over red light due to its shorter wavelength. This is because, shorter wavelength light can be focused to a smaller spot, which results in a higher resolution image, as the image details are captured in a smaller space.
There are other factors that also play a role in the resolution of an image, such as the size and quality of the lens, as well as the sensitivity of the camera or sensor used. A good quality lens with high resolution capabilities, regardless of the color of light it is using, can produce a high resolution image. Similarly, a high sensitivity camera or sensor will also lead to a higher resolution image. In summary, while blue light has an inherent advantage over red light when it comes to resolution, other factors such as the lens and camera or sensor used also play a crucial role in determining the resolution of an image.
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The potential difference between its ends of a 2-meter stick that is parallel to a uniform electric field is 400 V. The magnitude of the electric field is
In order to find the magnitude of the electric field, we can use the equation
E = V / d
where E is the electric field, V is the potential difference, and d is the distance between the two points.
In this case, the potential difference between the ends of the 2-meter stick is 400 V and the distance between the two points is 2 meters. So we can plug in these values into the equation:
E = 400 V / 2 m = 200 V/m
So the magnitude of the electric field is 200 V/m.
The potential difference between its ends of a 2-meter stick that is parallel to a uniform electric field is 400 V. The magnitude of the electric field is 200V/m.
A charged particle placed in a specific location within an electric field experiences an electric force that is measured as the electric field magnitude (E). In terms of volts per meter (V/m), it is the force per unit positive charge (q) at that location.
[tex]E = \frac{V}{d}[/tex]
E = electric field magnitude in volts per meter (V/m),
V = potential difference in volts (V),
d = distance in meters (m)
V=400 V
d=2 m
[tex]E = \frac{400}{2}[/tex]
E = 200 V/m.
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A velocity selector is to be constructed using a magnetic field in the positive y direction. If positively charged particles move through the selector in the positive z direction, what must be the direction of the electric field? Repeat for the case of negatively charged particles.
Answer:
you are crazy
Explanation:
A scientist asks, "Does a skateboard move faster on sand or gravel?" Which
experiment could answer this question?
A. Weigh 1 gallon of sand, then roll a skateboard on that sand.
B. Roll a skateboard on sand, then roll it on gravel.
C. Push a skateboard down a gravel hill, then push the skateboard on the
road.
O A
OB
O C
HINT
SUBMIT
Roll a skateboard on sand, then roll it on gravel. - this experiment could answer this question. Hence, option (B) is correct.
What is experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The purpose and scope of experiments vary widely, but they all rely on a repeatable process and a logical examination of the outcomes. Natural experimental experiments are also a thing.
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A gas undergoes an adiabatic compression during which its volume drops to half its original value.
If the gas pressure increases by a factor of 2.53, what is its specific-heat ratio\gamma?
1.3391 is the specific-heat ratio\gamma .
What is adiabatic process ?
An adiabatic process is one in which no heat is gained or lost by the system. Thefirst law of thermodynamics with Q=0 shows that all the change in internal energyis in the form of work done. This puts a constraint on the heat engine process leading to the adiabatic condition shown below. This condition can be used to derive the expression for the work done during an adiabatic process.
The ratio of the specific heats ? = CP/CV is a factor in determining the speed of sound in a gas and other adiabatic processes as well as this application to heat engines. This ratio ? = 1.66 for an ideal monoatomic gas and ? = 1.4 for air, which is predominantly a diatomic gas.
IN THE ABOVE PROBLEM,
P_iV_i^\gamma =P_fV_f^\gamma=2.53P_iV_f^\gamma
=> from this, we get : (Vi/Vf)^gamma = 2.53
and Vf= 1/2 Vi => Vi/Vf =2
thus, 2^gamma = 2.53
=> gamma ln(2) = ln (2.53)
=> gamma = ln(2.53) / ln(2) =1.3391
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Answer the question in the screenshot.
The flow of something like the induced current flow in the above condition is clockwise.
Describe current flow.Current represents the movement of electrons, despite the fact that current & hydrogen flow in the opposite directions. Current flows from positively to negative while electrons travel from negative to positive. Current is the amount of atoms that move through the cross - sectional area of a conductor in a second.
What causes current to flow?Free electrons are transported between atoms by the electromagnetic charges known as voltage. Similar to how water is driven through a conduit, alternating energy needs to be made to flow. Volts are the measure of "electricity pressure," which causes electric current. Actually, electrons would pass the cables here in the opposite way.
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for the oscillating object in the figure, what is its maximum speed?(figure 1) Vmax=3.93x(10^-2)m/s
The maximum speed of the oscillating object in the figure is 3.93x10^-2 m/s.
What is oscillating object?
Oscillating objects are items that move back and forth in a regular pattern. This type of motion is known as oscillation, and it is the basis of many everyday activities. Examples of oscillating objects include pendulums, tuning forks, fans, and clocks. Oscillation occurs when a force is applied to an object and it moves in one direction until a certain point is reached, then it reverses direction and moves back to its starting point. This cycle continues until the force is removed. Oscillation is also used in technology, such as in the production of sound waves, and in the operation of motors, turbines, and other machines. It is also found in nature, for example in ocean waves, the movement of stars and planets, and in the behavior of animals.
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An 3.95mm tall object is 24.5cm from the center of a silvered spherical glass Christmas tree ornament 6.45cm in diameter.
a)What is the position of its image(measured from the center of the ornament)? in cm
b)What is the height of its image? in mm
The position of its image(measured from the center of the ornament)? in cm 18.05 cm; b)the height of its image 7.90 mm.
What is diameter?Diameter is a straight line passing through the centre of a cricle or other shape,or the length of such as milimeter, centimetres, Inches,and feet.
The position of the object's image is 18.05 cm from the center of the ornament, which is calculated by subtracting the object's distance from the center of the ornament (24.50 cm) from the diameter of the ornament (6.45 cm). The height of the image can be determined by multiplying the height of the object (3.95 mm) by the ratio of the object's distance from the center of the ornament (24.50 cm) to the radius of the ornament (3.225 cm). This gives 7.90 mm.
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The radius of Jupiter is 11 times that of Earth and the free fall
acceleration near its surface is 2.5 times that on earth. If we someday put
a spacecraft in low Jupiter orbit, its orbital speed will be :
a. greater than that for an Earth satellite (Assume low orbit)
b. same as that for an Earth satellite (Assume low orbit)
c. Less than that for an Earth satellite (Assume low orbit)
If we someday put a spacecraft in low Jupiter orbit, its orbital speed will be greater than that for an Earth satellite.
What is orbital speed?The orbital speed of an astronomical body or object in a gravitationally bound system is its speed with respect to the most massive body's center of mass, or the barycenter.
Orbital speed is ≈ √(gR) for low orbit. As the radius of Jupiter is 11 times that of Earth and the free fall acceleration near its surface is 2.5 times that on earth, the orbital speed of a spacecraft in low Jupiter orbit will be greater than that for an Earth satellite.
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The inductor in (Figure 1) is a 9.0-cm-long, 2.0-cm-diameter solenoid wrapped with 300 turns. Part A What is the current in the circuit 10 us after the switch is moved from a to b? Express your answer with the appropriate units.
The current in the circuit 10 us after the switch is moved from a to b is 0 A.
What is circuit?
A circuit is an interconnection of electronic components, such as resistors, capacitors, and transistors, which are connected by conductive pathways to create a closed loop. The components are arranged in such a way that an electrical current is able to flow through them, allowing electricity to be used to power machines and devices. Circuits can be used to transmit signals, store and process information, and generate and control power. They are an essential part of modern electronics and are used in everything from computers and mobile phones to cars and home appliances. Circuit design is an important field of engineering and requires a high level of technical expertise to create reliable and efficient circuits.
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An alpha particle (^4He) strikes a stationary gold nucleus (^197Au) head-on. What fraction of the alpha's kinetic energy is transferred to the gold? Assume a totally elastic collision.
7.802% fraction of the alpha's kinetic energy is transferred to the gold .
What is momentum ?
Momentum, the product of a particle's mass and its velocity. Momentum is a vector quantity. It has both magnitude and direction. Isaac Newton's second law of motion states that the rate of change of momentum over time is equal to the force acting on a particle. See Newton's Laws of Motion.
From Newton's second law, if a particle is subject to a constant force over a period of time, the product of that force and the time interval (momentum) equals the change in momentum. Conversely, the momentum of a particle is a measure of the time it takes for a constant force to come to rest.
let,
mass of the alpa particle, m1=4u
initial speed is u1 and final speed is v1
and mass of the gold nucleus, m2=197u
initial speed is u2 and final speed is v2
in head on collission,
V2=2*m1*u1/(m1+m2)
v2=(2*4u)*u1/(4u+197u)
v2=(8/201)*u1
now, K2/K1=(1/2*m2*v2^2)/(1/2*m1*u1^2)
=(m2/m1)*(v2/u1)^2
=(197/4)*((8/201)*u1/*u1)^2
=(197/4)*(8/201)^2
=0.07802
=7.802% ------is answer
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You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
You would need to survive the thermosphere: difficult temperatures, solar radiations, low air pressures and low air density with difficulty in breathing.
What is atmosphere?A layer of gases known as the atmosphere envelops the planet Earth. The gravitational pull of the planet's neighbor, Earth, keeps it close to the surface. The three primary elements of the atmosphere are nitrogen, oxygen, and argon.
The thermosphere, which is located above the mesosphere, is a zone where the temperature rises as you ascend. The sun's powerful UV and X-ray radiation is what is responsible for the temperature rise. The upper thermosphere can reach temperatures of up to 2,000 degrees Celsius.
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Which way does the electric field point around the positive terminal of an alkaline battery?
The electric field points away from the positive terminal's surface is does the electric field point around the positive terminal of an alkaline battery.
What is electric field ?
The electric field is defined mathematically as a vector field that can be associated with each point in space, the force per unit charge exerted on a positive test charge at rest at that point.
The electric field is generated by the electric charge or by time-varying magnetic fields. In the case of atomic scale, the electric field is responsible for the attractive forces between the atomic nucleus and electrons which hold them together.
What is battery ?
An electrochemical oxidation-reduction (redox) reaction is used in batteries to directly transfer the chemical energy found in their active components into electric energy. Electrons are moved from one material to another via an electric circuit in this kind of reaction.
Therefore, the electric field points away from the positive terminal's surface is does the electric field point around the positive terminal of an alkaline battery.
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What is the surface area of disk if it's circumstance is 30cm?
The area of the disk, AD = ㅤㅤ Units.
Answer the same question for a perfect square with the perimeter 30cm.
The area of the square, As = Units.
The surface area of the disk is AD is 70.5 cm2. and the area of the square is As 56.25 cm2.
What is surface area?Surface area is the total area of the exposed surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object. Surface area is a measure of how much exposed area a 3D object has, and is used in many fields such as engineering, architecture, and geometry. Surface area is important in many applications, such as calculating the amount of paint needed to cover a wall or the amount of material needed to make a product.
For the disk, the surface area is calculated using the formula AD = πr2, where r is the radius of the disk. Since the circumference of the disk is given as 30cm, we can calculate the radius as r = 30/2π = 4.7124 cm. Therefore, the surface area of the disk is AD = π(4.7124)2 = 70.5 cm2.
For the square, the area is calculated using the formula As = s2, where s is the length of one side of the square. Since the perimeter of the square is given as 30cm, we can calculate the length of one side as s = 30/4 = 7.5 cm. Therefore, the area of the square is As = (7.5)2 = 56.25 cm2.
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Select the term which best defines the movement of an object against an opposing force. Select one: Work Energy Play Entropy
Work is the movement of an object against an opposing force.
What is work?
It is a measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.
What is the work unit?
The SI unit of work is the joule (J). Joule is the work done by the force of one newton causing a displacement of one meter. Sometimes, a newton-meter (N-m) is also used for measuring work.
What is the formula of work?
Work done (W) is the dot product of force (f) and displacement (ds). The formula is W = F · d s.
How is work related to energy?
Energy should be transferred to an object to move it. Transferring energy can be in the form of force. This amount of energy transferred by the force to move an object is called work or work done.
Thus, the correct answer is work.
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How far can you move a 10kg object with an acceleration of 3m/s when you use 6 N of
work?
The object can be moved 0.2 meters with the given work and acceleration.
What is work?
We can use the work-energy principle to solve the problem:
work done = change in kinetic energy
The work done on the object is given by:
work done = force x distance x cos(theta)
where theta is the angle between the direction of force and the direction of motion. In this case, theta is not given, so we assume it to be zero (i.e., force is in the same direction as the displacement).
Therefore, we have:
work done = force x distance
Rearranging, we get:
distance = work done / force
Substituting the given values, we get:
distance = 6 N / 10 kg x 3 m/s = 0.2 meters
Therefore, the object can be moved 0.2 meters with the given work and acceleration.
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Complete question is: A 10kg object with an acceleration of 3m/s when you use 6 N of work can be moved 0.2 meter .
An electron remains in an excited state of an atom for typically 10^-8 s.What is the minimum uncertainty in the energy of the state (in eV)?
The minimum uncertainty in the energy of the state of an atom in a excited state is 3.28 x 10^(-8)eV.
How do you feel about time and energy being uncertain?The formal uncertainty principle basically states that if the uncertainty in the energy (E) times the uncertainty in the time (t) is more than or equal to b, then the uncertainty in the momentum (p) times the uncertainty in the position (x) is greater or equal to b. The Planck constant (6.63 x 10-34 J s) is represented by the letter h, or h/2 = 1.05 x 10-34 J s.
The excited state of an atom (Δt)= 10^-8 s.
Maximum uncertainty in time => Minimum uncertainty in the energy state
h= 6.6 x 10^ (-34) j/s
ΔE = h/4πΔt = 6.6 x 10^ (-34) j/s / 4π x 10^-8
=> 5.25 x 10^(-27) J
Converting to eV
ΔE => 5.25 x 10^(-27) J x 1eV/1.6 x 10^(-19)
=> 3.28 x 10^(-8)eV.
What does uncertainty in energy time mean?They lack a fixed energy, according to the time-energy uncertainty principle, and each time they decay, the energy they release varies somewhat. The theoretical energy of the state is where the average energy of the departing photon peaks, although the distribution has a finite width known as the natural linewidth.
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Write the chemical equation for the formation of HBr from the single, isolated H and Br atoms. Then, using the table of bond energies, determine the change in enthalpy (delta H) for the above reaction. Think about the sign of the energy in this reaction.
H---H bond, energy =436kJ/mol
H---Br bond. energy= 366kJ/ mol
The change in enthalpy (delta H) for formation of HBr from the single, isolated H and Br atoms is -103 KJ/mol.
Why is bond energy called enthalpy of bonds, and what is it?The amount of energy needed to break one mole of bonds between the atoms in gaseous molecules is known as bond energy. The bond energy of a diatomic molecule is therefore referred to as the enthalpy of atomization since in the gaseous state, molecules totally disintegrate into atoms.
H2 + Br2 => 2HBr
ΔH = Change in enthalpy of reaction ={ Bond enthalpy of reactants -
Bond enthalpy of products}
ΔH => { H-H + Br-Br - 2 x(H-Br)}
=> { 436+193-2x(366)}
=> -103 KJ/mol.
Why is bond energy called enthalpy of bonds, and what is it?The amount of energy needed to break one mole of bonds that are present between the atoms in gaseous molecules is known as bond energy. The bond energy of a diatomic molecule is therefore referred to as the enthalpy of atomization since in the gaseous state, molecules totally disintegrate into atoms.
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a 1.0-kilogram rubber ball traveling east at 2.0 meters per second hits a wall and bounces back toward the west at 2.0 meters per second. compared to the kinetic energy of the ball before it hits the wall, the kinetic energy of the ball after it bounces off the wall is
The ball has 2.0 Joules of kinetic energy after hitting the wall.
The energy that is moving or doing work is known as an object's kinetic energy. It can be stated using the following formula:
K.E = [tex]\frac{1}{2} mv^2[/tex]
where m is the ball's mass and v is its final velocity following impact.
The rubber ball has a mass of 1.0 kg.
Before the collision, the rubber ball was moving at a speed of 2.0 m/s.
After the collision, the rubber ball's final speed was 2.0 m/s slower.
Following the contact and after it bounces off the wall, the ball's kinetic energy is calculated as follows
K.E = [tex]\frac{1}{2} mv^2[/tex]
K.E = [tex]\frac{1}{2} \times 1 \times (2)^2[/tex]
K.E = 4/2
K.E =2.0 Joules
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The kinetic energy of the ball after it bounces off the wall is 2.0 Joules.
The kinetic energy of an object is the energy that is in motion or performing work. It can be expressed by using the formula:
[tex]K.E=\frac{1}{2} mv^2[/tex]
The mass of the object(rubber ball) = 1.0 kgThe initial speed of the rubber ball before the collision = 4.0 m/sThe final speed of the rubber ball after the collision = - 2.0 m/sThe Kinetic energy of the ball after the collision and when it bounces off the wall is computed as:
[tex]K.E. =\frac{1}{2} *1.0*(2.0)^2[/tex]
K.E. = 2.0 Joules
In physics, the kinetic strength of an item is the energy that it possesses because of its motion. it's far described as the work needed to boost up a frame of a given mass from rest to its said speed. Having gained this power during its acceleration, the frame continues this kinetic power except for its pace adjustments. An equal quantity of labor is carried out by means of the body when decelerating from its current speed to a country of relaxation. officially, kinetic power is any time period in a gadget's Lagrangian which incorporates a spinoff with respect to time.
Kinetic electricity is the power an object has due to its motion. If we need to boost up an item, then we must observe a force. applying pressure calls for us to do paintings. After paintings have been done, strength has been transferred to the item, and the object may be moving with a brand new constant speed.
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11.The coefficients of static and kinetic friction for wood on wood are .5 and .3 respectively.
If a 100 N wooden box is pushed across a horizontal wooden floor with just enough force
to overcome the force of static friction, its acceleration is
a) .2 m/s²
b) .5 m/s²
c) 2 m/s²
d) 5 m/s²
Answer: a).5 m/s2
Explanation:
A 32.2 kg child slides down a long slide in a playground. She starts from rest at a height h1 of 24.3 m. When she is partway down the slide, at a height h2 of 7.70 m, she is moving at a speed of 1.60 m/s. Calculate the mechanical energy lost due to friction (as heat, etc...) between h1 and h2.
The mechanical energy lost due to friction between h1 and h2 is 5,323.2 J
What is mechanical energy?Mechanical energy is the sum of the potential energy and kinetic energy possessed by an object due to its motion and position. It is energy that is associated with the motion and position of an object. It is often associated with machines and other moving objects, as their components have energy due to the work done to move them.
The mechanical energy of the child can be calculated using the following equation:
Mechanical Energy = mgh
where m is the mass of the child, g is the acceleration due to gravity, and h is the height.
The initial mechanical energy of the child at h1 is:
E1 = 32.2 kg * 9.81 m/s2 * 24.3 m = 7,722.3 J
The final mechanical energy of the child at h2 is:
E2 = 32.2 kg * 9.81 m/s2 * 7.7 m = 2,399.1 J
Therefore, the mechanical energy lost due to friction between h1 and h2 is: E Lost = 7,722.3 J - 2,399.1 J = 5,323.2 J
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Which three characteristics of an object are represented by a motion map?
velocity, length, time
acceleration, time, mass
mass, length, position
position, acceleration, velocity
The three characteristics of an object which are represented by a motion map are the position, acceleration, velocity and is therefore denoted as option D.
What is a Motion map?This is a term which is referred to as a one-dimensional plots built off of a position line and is denoted by a horizontal axis which makes it possible to mark the position of a body or a vehicle at any point in time.
It contains arrows which are specifically used to record its velocity and acceleration and is therefore the reason why option D was chosen as the most appropriate choice.
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Answer: option D.
Explanation:
A series RLC circuit consists of a 280 ohm resistor, a 25 mH inductor, and a 18 mu F capacitor. What is the rms current if the emf is supplied by a standard 120V, 60 Hz wall outlet? Express your answer to two significant figures and include the appropriate units.
V' = 61.8 Volts is the rms current if the emf is supplied by a standard 120V, 60 Hz wall outlet.
What is called circuit?A circuit in electronics is a full circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent channel through which electricity, data, or a signal can pass.
R = resistance of the resistor = 280 Ω
C = capacitance of the capacitor = 18 μF = 18 x 10⁻⁶ F
L = Inductance of the inductor = 25 mH = 0.025 H
f = frequency = 60 Hz
Capacitive reactance is given as
X = (2πfC)⁻¹
X = (2(3.14) (60) (18 x 10⁻⁶))⁻¹
X = 147.4 Ω
Inductive reactance is given as
X' = 2πfL
X' = 2(3.14) (60) (0.025)
X' = 9.42 Ω
Impedance of the circuit is given as
z = √(R² + (X' - X)²)
z = √(280² + (9.42 - 147.4)²)
z = 59.32 Ω
V
= rms emf of the source
= 240 Volts
rms voltage across the inductor is given as
V' = V z⁻¹ X'
V' = (120) (59.32)⁻¹ (9.42)
V' = 61.8 Volts
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a safety helmet extends the time of impact from 0.005 s to 0.020 s.
The force is reduced by a factor of 4.
In physics, the idea of impulse is crucial, especially when examining collisions and impacts. The impulse of a force causes a change in an object's momentum when it acts on it for a predetermined amount of time. The shift in momentum is greater the stronger the stimulus.
Using the formula to determine force -
I = FΔt
The Δt for the impulse increased from 0.005s to 0.0020s.
Thus,
= 0.0020 / 0.005
= 4
Therefore,
F = I/4Δt
This means that the force is reduced by a factor of four.
Complete Question
A safety helmet extends the time of impact from 0.005 s to 0.020 s. By what factor is the average force that causes the impact reduced?
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A 9.00 kg bomb mass is sitting stationary. The bomb explodes and M1 (3kg) moving to the left with a velocity of
140 ms (v₁). The remaining portion flys to the right. Determine the v2 (velocity) it flys off with
A 9 kg explosive detonates into two fragments, each weighing 3 kg and 6 kg. The kinetic energy of mass 6 kg is 1.92 J, and the velocity of mass 3 kg is 1.6 m/s.
What is meant by velocity?The rate at which an object's position changes as perceived from a particular point of view and as measured by a certain unit of time is determined by its velocity, which can be expressed as, for instance, 60 km/h northbound. Quickness of motion or activity is known as velocity. Speed is a shorter term and a synonym for celerity. The term "velocity" in physics especially refers to the measurement of an object's rate and direction of positional change.The vector quantity velocity (v), denoted by the equation v = Δs/Δt, quantifies displacement (or change in position, s), over change in time (t).Therefore,
The total momentum of the bomb is unchanged before and after the explosion thanks to the conservation of linear momentum.
0 = 3 × 1.6 + 6v
v = 0.8 m/s
Kinetic energy of mass 6 kg is:
1/2 mv² = 1/2 × 6 × 0.8²
= 1.92 J
Hence, the correct option is c) 1.92J
The complete question is:
A bomb of mass 9kg explodes into 2 pieces of mass 3kg and 6kg. The velocity of mass 3kg is 1.6m/s, the kinetic energy of mass 6kg is :
A) 3.84J
B) 9.6J
C) 1.92J
D) 2.92J
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You throw a baseball forward at 10 m/s, and it is in the air for 3 seconds. What distance did you throw the ball?
A.3.3 meters
B.13 meters
C.30 meters
D.10 meters
Answer:
C.30 meters
Explanation:
m = meters
s = seconds
10 m/s = 10 meters/second
3 seconds * 10 meters/second =
3 seconds * 10 meters / 1 second =
3 * 10 meters/1 = ==> cancel the seconds unit
3 * 10 meters = ==> simplify
30 meters
The beta decay of cesium-137 has a half-life of 30 years. How many years must pass to reduce a 25 mg sample of cesium 137 to 8.7 mg?
It will take approximately 63.5 years to reduce a 25 mg sample of cesium-137 to 8.7 mg.
Beta decay is a type of radioactive decay in which a beta particle (an electron or a positron) is emitted from the nucleus of an atom. Cesium-137 is a radioactive isotope of cesium that undergoes beta decay and has a half-life of 30 years.
The half-life of a radioactive material is the amount of time it takes for half of the initial amount of the material to decay. In other words, if you start with a certain amount of radioactive material, after 30 years, half of that initial amount will have decayed. After another 30 years, half of the remaining material will have decayed, and so on.
We can use the formula: N(t) = N0 * (1/2)^(t/T1/2) where
N(t) is the number of radioactive nuclei remaining after t yearsN0 is the initial number of radioactive nuclei, t is the time in yearsT1/2 is the half-life of the radioactive material.We know that N0 = 25 mg, T1/2 = 30 years, and we want to find t when N(t) = 8.7 mg.
So we can set up the equation:
8.7 mg = 25 mg * (1/2)^(t/30 years)
Solving for t, we find:
t = (30 years) * log2(8.7mg/25mg)
t = approximately 63.5 years
It will take approximately 63.5 years to reduce a 25 mg sample of cesium-137 to 8.7 mg.
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a car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57 degrees north of east. relative to the origin, what is the car’s final location? in degrees.
A automobile travels 1.25 kilometres south after leaving the starting point, and then 8.75 kilometres north of east. What is the vehicle's final position in relation to its starting point?
What is the final speed of a car once it starts?When an automobile begins moving, its starting velocity is zero. A projectile will have a greater starting velocity if it is thrown into the area. The starting velocity will be greater than zero if an automobile stops after pressing the brake, but the end velocity will indeed be zero.
What does displacement measure in?The metre is the Iso System of Units' (SI) accepted unit of displacement (m). In most cases, displacement is measured or described along a single direction.
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A combination of series and parallel connections of capacitors is depicted in the figure. Randomized Variables C1=18 HF C2= 6.09 UF C3= 1.85 UF
The combined effect of the capacitor network can be determined by combining the individual capacitances of the capacitors in either a series or parallel configuration.
What is capacitor?A capacitor is an electrical device used to store energy in the form of an electric field. It consists of two metal plates separated by an insulating material (dielectric) and is commonly used in both AC and DC circuits. The ability of a capacitor to store and release energy quickly can be used to regulate the current in a circuit and to filter out unwanted signals. Capacitors can also be used to smooth out voltage spikes and to provide a reserve power source.
When capacitors are combined in series, the total capacitance of the circuit is the reciprocal of the sum of the reciprocals of each capacitor:
1/Ct = 1/C1 + 1/C2 + 1/C3
In this example, the total capacitance of the circuit is 0.41 UF. When capacitors are combined in parallel, the total capacitance of the circuit is the sum of the individual capacitances:
Ct = C1 + C2 + C3
In this example, the total capacitance of the circuit is 25.94 UF. This combination of capacitors can be used in various circuits to reduce the total capacitance of the network. For example, in low-pass filter circuits, the total capacitance of the network is reduced by using a combination of series and parallel connections of capacitors. This reduces the time constant of the circuit, which can be used to adjust the cut-off frequency of the filter. Additionally, this combination of capacitors can be used in power supply circuits to reduce the ripple voltage, which is the alternating current component of the voltage output.
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Suppose an amateur astronomer discovers an asteroid that is moving at a speed of about 8 km/sec. She estimates that it must be about 13.5 AU from the Sun. Based on your graph, does the pattern of planetary speeds and distance support, or fail to support, her estimated distance?
Answer:
about 1.4 billion km or 870 million mi
Explanation:
I don't know for sure
A pitcher throws a ball at 90 mph and the catcher stops it in her glove.
A) Is the work done on the ball by the pitcher positive, negative, or zero?
B) Is the work done on the ball by the catcher positive, negative, or zero?
A pitcher throws a ball at 90 mph and the catcher stops it in her glove, the possible for both positive and negative work.
What is work ?
Work is force that is applied over a distance. Driving a car up a hill, drawing down a captive helium balloon, and raising something against Earth's gravitation are some examples of work. Energy takes the form of work in the mechanical world. The joule, which is equal to one newton metre (N m), is the accepted unit of labour.
What is positive work ?
The same work performed on an item is referred to as positive work whenever force and displacement are both moving in a substantially comparable direction. An illustration of this is how a body travelling forward on a horizontal surface interacts with force and displacement.
a.) the work done on the ball by the pitcher is always be positive.
because when the pitcher throws the ball with force F and the ball also moves in the direction of force so the work done will be positive.
B.) The work done on the ball by the catcher will be negative.
because the fielder has to stop the motion of the ball to catch. this means the direction of force is applied against the motion of the ball so the work done will be negative in this case.
Therefore, A pitcher throws a ball at 90 mph and the catcher stops it in her glove, the possible for both positive and negative work.
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