The resistance of wire one is three times of resistance of wire 2. The correct option is (a).
The resistance of a wire is directly proportional to length (L) and inversely proportional to the cross-sectional area.
For wire 1:
R₁ = k ×L ÷(π × (d÷2)²)
Here,
Diameter (d) and constant (k).
For wire 2:
R₂ = k × 3L ÷ (× ((3d)÷2)²)
R₂ = (1/3) × k ×L ÷(π × (d÷2)²)
R₂ = 1÷ 3R₁
R₁ = 3R₂
Hence, The resistance of wire one is three times of resistance of wire 2. The correct option is (a).
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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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If the thickness of a uniform wall is doubled, the rate of heat transfer through the wall is. A. quadrupled. B. doubled. C. halved. D. unchanged .
If the thickness of a uniform wall is doubled, the rate of heat transfer through the wall is halved.
What is heat transfer?
Heat transfer is the movement of heat from one substance or material to another. Heat transfer takes place through three principal mechanisms: conduction, radiation, and convection.
What are the 3 types of heat transfer?
radiation.conduction.convection.How does thickness affect heat transfer?
The thicker the material, the more time it takes to transfer the same amount of heat.
What will happen to the heat transfer rate if you double the thickness of the insulation?
The higher the R-value, the greater the resistance to heat transfer. When you double the thickness of a material, the R-value also doubles but the thermal conductivity through the new total thickness is cut by half.
Thus, option c) halved is the correct answer.
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object a is traveling due north while object b is traveling due south along the same line. the two objects have a head-on collision. which one of the following statements best describes the velocities of the objects after the collision?
Their end velocities might be similar or the same if object an is going in the same direction as object b, which is due north, while object b is moving in the opposite direction, due south.
They clash directly with one another. The beginning and final velocities would both be zero because of the momentum conservation law. In physics, an elastic collision is a collision between two bodies in which the total kinetic energy remains constant. In an ideal, elastic collision, there is no net conversion of kinetic energy into heat, noise, or potential energy. There is no kinetic energy lost after an exact elastic collision between two objects.
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An iron block in a furnace is heated and consequently expands, which means that its density is:____
An iron block in a furnace is heated and consequently expands, which means that its density is less.
Density -
Definition of density: A material's density is determined by how closely it is packed. As the mass per unit volume, it has that definition. Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.
The amount of matter that makes up a thing is referred to as its mass. Density refers to how closely together atoms are packed, or how close together they are in a substance. The concept of mass is used to quantify inertia. Contrarily, the degree of compactness is defined by density.
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a conservative force has the potential energy function u ( x ), shown by the graph above. a particle moving in one dimension under the influence of this force has kinetic energy 1.0 joule when it is at position x1. which of the following is a correct statement about the motion of the particle?
The following is the correct statement about the motion of particle : it cannot move / reach to either x0 or x2. And as this particle is having only one joule of kinetic energy it cannot overcome the required potential energy.
What is conservative force ?Conservative force is the force done in moving a particle from one point to another, such that force is independent of the path taken by particle. It depends on initial and final position of the particle. Gravitational and elastic spring forces are two examples of conservative forces.
Total work done by conservative force is independent of the path resulting in given displacement and is equal to zero when path is a closed loop.
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The particle will oscillate between -1J and -2J in potential energy and will never reach the points x0 and x2.
What is the energy of particle?If two objects collide, the total momentum before and after the collision will be the same if no external force acts on the colliding objects, according to the principle of conservation of momentum.
In x1, potential energy U(x1) = -2J
kinetic energy is V(x1) = 1 J
Total energy = U(x1) + V(x1) = -2J + 1 J = -1 J
Since the force is conserved then the total energy will also remain conserved.
That is, U(x1) = -1J - V(x1)
Since, kinetic energy ≥ 0
U(x1) ≤ -1J
Therefore from the graph we will be able to say that the particle will oscillate between range of potential energy that is -1J to -2J and also it will never reach the point x0 and x2 .
The graph is attached below:
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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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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 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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A proton is released from rest inside a region of constant, uniform electric field 1 pointing due north.
29.8 s after it is released, the electric field instantaneously changes to a constant, uniform electric field 2 pointing due south. 7.65 s after the field changes, the proton has returned to its starting point. What is the ratio of the magnitude of 2 to the magnitude of 1? You may neglect the effects of gravity on the proton.
Another problem I've seen answers to but they're incorrect. Step by step solution would be very helpful so I can understand what it is I'm doing wrong. Thanks!
The ratio of the magnitude of 2 to the magnitude of 1 is 1.
How solve the problem?To solve this problem, we can use the concept of electric field and kinematics.
We know that the force acting on a proton due to an electric field is given by the equation F = qE, where q is the charge of the proton and E is the electric field.
Since the proton is released from rest, we can assume that the initial velocity of the proton is zero.
Using kinematic equations, we can find the final velocity of the proton after it has been in electric field 1 for 29.8 seconds.
v = at = Eq/m * t = Eq* t / m
where a is the acceleration of the proton due to the electric field, t is the time it spends in the field, m is the mass of the proton,
Now we can use the final velocity to calculate the distance traveled by the proton in field 1.
s = vit + 0.5at^2 = Eq* t^2 / 2m
Once the proton is in field 2, it will have a velocity in the opposite direction, and it will be acted upon by the new electric field 2, which will cause it to decelerate and eventually come to rest again.
vf = vi + at = -Eq* t / m
Now we can calculate the time it takes for the proton to come to rest again
s = vit + 0.5at^2 = Eq* t^2 / 2m
where s is the distance traveled by proton in field 2, vf is the final velocity of the proton, and vi is the initial velocity of the proton.
Now we can equate the distance traveled in field 1 and field 2 to the distance traveled in 7.65 sec.
Eq1* t^2 / 2m = Eq2* t^2 / 2m
Eq1/Eq2 = 1
So the ratio of the magnitude of 2 to the magnitude of 1 is 1
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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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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Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)
1.Rank the vector combinations on the basis of their magnitude.
Rank from largest to smallest. To rank items as equivalent, overlap them.
O a+c
O f+c
O d
O a+b
O a+e
O a+d
1. The rank of the vector combinations on the basis of their magnitude is - a+b = a +d > a+c > f +c = d > a + e
What is the value of the vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity. A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
Position, force, torque, velocity, and displacement are a few examples of vector quantities.
1. a + c
⇒ 2+1 unit
⇒ 3 unit
2. a + b
⇒ 2√2 unit
3. a + e
⇒ 2 -1
⇒ 1 unit
4. a +d
⇒ 2√2 unit
5. f+ c
⇒ 2 unit
6. a+d
⇒ 2√2 unit
7. f+c
⇒ 2 unit
8. a+b
⇒ 2√2 unit
9. a+e
⇒ 1 unit
10. a+c
⇒ 3 unit
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Complete Question -
Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)
1.Rank the vector combinations on the basis of their magnitude.
Rank from largest to smallest. To rank items as equivalent, overlap them.
a+c
f+c
d
a+b
a+e
a+d
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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What is the magnitude of the force F on the -10 nC charge in the figure? Suppose that a = 1.8 cm.
The magnitude of the force is 1.39 * 10^-4 N.
What is the force?We have to note that the force that is acting between any two charges could be the force of attraction or it would be a force of repulsion. In the case of the forces that we have here, we would be talking about a force of attraction since we are dealing with opposite charges.
We have;
F = Kq1q2/r^2
q1 and q2 = charges
K = electric constant
r = distance of separation
F = force
Then we have;
F = 9 * 10^9 * 5 * 10^-9 * (-10 * 10^-10)/(0.018)^2
F = -4.5 * 10^-8/3.24 * 10^-4
F = -1.39 * 10^-4 N
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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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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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at what fraction of speed of light must a particle move so that its K.E is one and a half time at its rest?
Relativistic kinetic energy can be expressed as Ek=mc2√1−(v/c)2)−mc2 where mm is rest mass, v is velocity, and c is the speed of light.
What is the kinetic energy of the speed of light?If the velocity of a body is bisected, its kinetic energy becomes one-fourth as kinetic energy is directly proportional to the speed quad. This formula examines the total rest mass energy and kinetic energy of motion.
This equation discloses that the kinetic energy of an object is directly proportional to the square of its speed. That means that for a binal increase in speed, the kinetic energy will increase by a factor of four. For a threefold growth in speed, the kinetic energy will increase by a factor of nine.
So we can conclude that An object at rest has no kinetic energy. But turn on its position, it will have a form of potential energy.
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An object with a mass of 9 kg weighs 80.1 N on Venus what is the acceleration due to Venus’s gravity?
A. 8.9 m/s^2
B. 9.8 m/s^2
C. 3.7 m/s^2
D. 1.6 m/s^2
The answer is Option A 8.9 m/s^2
What is the acceleration due to Venus’s gravity?Because an object's weight changes depending on the acceleration caused by gravity where it is placed, the weight of an object at two different planets will differ if these planets have different accelerations due to gravity. It can be computed by multiplying the object's mass by the acceleration caused by gravity in the location where the object is located.
You can use the equation GM 8 = R2 to get the acceleration brought on by gravity at a planet's surface. Venus' GM 8 is equal to 0.949 x 6052, or 6.47 x 1023. Consequently, 6.47 1023 N/m2 is the acceleration caused by gravity at the surface of Venus.The weight force on an object in a gravitational field is given by
F=mg
where m is the mass in kg and g is the acceleration due to gravity at that place.
Rearranging:
g=F/m
=266.130
=8.87 Nkg−1 or 8.9 ms−2
In light of the fact that Venus is just somewhat smaller than Earth in terms of both mass and radius, this response makes sense.
9.81Nkg−1 at Earth's surface.
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VT 106.00 V, IT = ?, R₁ = ?
V₁?, 11₁?, R₁= ?
V₂= 30.00 V, 12=1,
V3 31.00 V, 13= ?,
Solve for all the necessary parts of the circuit to answer the following
question:
What is the current (13) which is flowing through resistor three?
The current (I₃) flowing through the triple resistor is 1.55 Amperes.
The amount of electric current (I) flowing through a conductor or conductor will be directly opposite the potential difference/voltage (V) applied to it and inversely with the resistor (R).
From that sound, Ohm's law can be formulated mathematically into the following equation:
V = I x R
I = V/R
R = V/I
Information:
V = Voltage or difference or voltage, unit volts (V)
I = Current, the unit is amperes (A)
R = Resistance, the unit is ohms (W)
In the problem R₃ = 31.00 Ohm and V₃ = 20.00 V. So the current flowing from resistor three is
I₃ = V₃/R₃
I₃ = 31.00/20.00
I₃ = 1.55 Amperes
The current (I₃) flowing through the triple resistor is 1.55 Amperes.
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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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b) A car is traveling 15 m/s when it goes to pass a car. The car accelerates at a rate
of 2 m/s/s for 6 seconds. How fast is the car moving after the 6 seconds?
(X-axis)
The car is moving at 21 m/s after the 6 seconds.
This is because:
Initial velocity + (Acceleration x Time) = Final velocity
15 m/s + (2 m/s/s x 6 seconds) = 21 m/s.
The car is moving at 21 m/s after the 6 seconds.
This is because acceleration is the rate of change of velocity, so the velocity of the car increases by 2 m/s for every second it accelerates, which results in a total increase of 12 m/s in 6 seconds. Adding the initial velocity of 15 m/s, the car's final velocity is 21 m/s.
Acceleration is a fundamental concept in physics and it refers to the rate at which velocity changes over time. It can be expressed mathematically as the derivative of velocity with respect to time.
In the given scenario, the car's acceleration is 2 m/s/s which means that the velocity of the car increases by 2 m/s for every second that it accelerates. Therefore, in 6 seconds, the velocity of the car increases by:
= 2 m/s/s x 6 seconds = 12 m/sThe initial velocity of the car was 15 m/s and after 6 seconds of acceleration, the final velocity is:
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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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The experiment where everything is the same is the ----- (fill in the blank)
Answer: Constant Variable
Explanation: Constant variable is what stays the same during the experiment. In an experiment the dependent variable changes when changes are made to the independent variable. But in any experiment, the Constant variable stays the same.
Determine distance between two charges Q1=500nC and Q2=- uC which interact with each force 670mN. The charges are immersion in the medium with relative permittivity Er=2 E0=8.85
The distance between the two charged particles is 0.082 m.
What is the distance between the two charges?The distance between the two charges is calculated by applying Coulomb's law of electrostatic force as shown below.
Mathematically, the formula for the force of attraction or repulsion between two charged particles is given as;
F = ( kq₁q₂ ) / ( r² )
where;
k is the coulomb's constantq₁ is the charge of the first particleq₂ is the charge of the second particler is the distance between the chargesr² = ( kq₁q₂ ) / ( F )
r = √ [ ( kq₁q₂ ) / ( F ) ]
The distance between the two charged particles is calculated as;
r = √ [ ( 9 x 10⁹ x 500 x 10⁻⁹ x 1 x 10⁻⁶ ) / ( 670 x 10⁻³ ) ]
r = 0.082 m
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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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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 with a mass of 1200kg is traveling west at 25 m/s collides head on with highway barrier. The car comes to rest in 0.35 seconds . What is the magnitude of the force and the impulse applied to the car
The magnitude of the force and the impulse applied to the car are 85714 N and 30000 N-s respectively.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The magnitude of the force applied to the car = change in momentum/time interval
= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second
= 85714 N.
The impulse applied to the car = change in momentum
= (1200 kg × 25 m/s - 1200 kg×0)
= 30000 N-s.
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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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During photosynthesis, plants:
die and break down into the soil.
release hydrogen and water vapor into the air.
ONone of these choices are correct.
O remove carbon dioxide from the atmosphere.
Answer:
Physical exercise is good for health
Projectile is fired in such away that its horizontal range is equal to three times its maximum height. What is the angle of projection?
The horizontal range (R) of a projectile is defined as the horizontal distance it travels while in flight. It is equal to the product of the initial velocity (V) of the projectile, the sine of the angle of projection (θ), and the time of flight (T). R = V * T * sinθ
The maximum height (H) of a projectile is reached at the peak of its trajectory and is equal to the product of half of the gravitational acceleration (g), and the square of the time of flight (T) . H = (1/2) * g * T^2
Given that the horizontal range is equal to three times the maximum height, we can set up the following equation:
R = 3H
We know that R= V * T * sinθ and H = (1/2) * g * T^2
Substituting these equations into the first equation we get:
V* T * sinθ = 3(1/2) * g * T^2
Dividing both sides by T and simplifying, we get:
sinθ = (3/2) * sqrt(g/V)
If we know the value of g (gravitational acceleration) and the initial velocity of the projectile we can calculate the angle of projection. However, in general this is an inverse trigonometric function and the angle of projection is not a exact value, but it is defined in the range of values for the inverse trigonometric functions.
It's important to note that this equation assumes a level ground, no air resistance and constant acceleration due to gravity.