After solving the equation the ball rebound is θ2 = 18.88° is the correct answer.
What is Potential energy?
Potential energy is the energy held by an object due to its position or composition. It is the energy of an object that is stored and waiting to be released. This energy is due to the force of gravity, electric charge, and/or the force of a spring. Potential energy is also known as “stored energy”. It is measured in units of joules (J). Potential energy can be converted into kinetic energy, which is the energy of motion. Examples of potential energy include the energy stored in a stretched rubber band, the energy stored in a roller coaster car at the top of the hill, and the energy stored in a boulder at the top of a mountain. Potential energy can also be found in chemical bonds and nuclear energy.
Here Potential energy will convert to Kinetic energy,
P.E. (initial) + K.E. (initial) = P.E. (Final) + K.E. (Final)
M g L (1 – Cos 45) + 0 = 0 + ½ mv2
v2 = 2gL (1 – 1/0.414)
v = (2* 9.8* 1)0.5 * (1 – 1/0.414)0.5
v = 2.396 m/s
Thus, when ball strikes its velocity is 2.396 m/s.
From conservation of momentum
M1v1 + m2v2 = m1V1 + m2V2
0.2*2.396 = 0.2 V1 + 0.5 V2
Here, since no information is given for collision.
I am considering it to be elastic,
U1 – U2 = V2 – V1
U1 = V2 -V1
V2 – V1 = 2.396
0.2V1 + 0.5V2 = 0.4792
V1 = -1.027 m/s ; V2 = 1.369 m/s
i.e.,
½ m1v12 = m g L (1-Cos θ2) ---- Energy Conversion
V12 = 9.8 * 2 * 1 (1- Cos θ2)
1.055 = 19.6 (1 - Cos θ2)
Cos θ2 = 0.9462
θ2 = 18.88 °
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The white dwarf that remains when our Sun dies will be mostly made of ______.
a) helium
b) carbon
c) neutrons
d) hydrogen
The white dwarf that remains when our Sun dies will be mostly made of
(b) carbon is correct option.
A star core remnant known as a white dwarf is primarily made up of electron-degenerate materials. White dwarfs are very dense objects with masses similar to the Sun and volumes similar to the Earth. White dwarfs do not undergo fusion, thus their feeble light is caused by the emission of leftover thermal energy. Sirius B, the smaller half of the Sirius binary star and the closest white dwarf to Earth, is 8.6 light years away. Among the 100 star systems closest to the Sun, eight white dwarfs are currently believed to exist. White dwarfs are unusually faint, and this was first noticed in 1910. Willem Lutyens first used the term "white dwarf" in 1922.
Since stars with very low masses cannot fuse helium, binary systems may experience mass loss that results in the formation of helium white dwarfs. In a white dwarf, the material no longer undergoes fusion processes, depriving the star of its energy source.
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What increases the speed of ejected electrons?
Increasing the frequency of light waves (while maintaining a fixed amplitude) would increase the rate at which electrons are ejected, which would increase the measured electric current, according to the theories of classical physics.
What influences the quantity of electrons ejected?As a result, the quantity of photons, or the brightness of the light, determines how many electrons are ejected. A portion of the packet's energy is used to defeat the metal's electron's binding energy. The work function, or, is the name given to this tying energy. The number of electrons ejected per second grows linearly with an increase in incident light intensity at a certain frequency of radiation. Increasing the frequency of light waves (while maintaining a fixed amplitude) would increase the rate at which electrons are ejected, which would increase the measured electric current, according to the theories of classical physics.
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When observing an object, you determine it is moving at a constant velocity and in a straight line. Which of these best describe the situation?.
The net force acting on the object must be zero.
Constant velocity:
A velocity is constant when both its magnitude and direction does not change over time. In simpler words, this is when the rate of change of position of an object remains the same throughout a period of time.
Velocity gives us information about the rate of change of object position, meaning how fast can object position is changing per unit time. In physics, velocity is defined as the displacement divided by time where displacement is defined as the difference between your final and initial positions.
Furthermore, when an object travels the same distance every second, then the object is said to be moving with constant velocity. This means that the magnitude of the velocity (or speed) and the direction of the velocity both remain constant.
Hence the net force acting on the object must be zero when it is moving at a constant velocity and in a straight line.
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A sprinter runs from the 6-meter line to the 38-meter line in 8.0 seconds. How far did she travel?
Answer: She travelled 32 meters.
Explanation:
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Should an ammeter be connected in series or in parallel?
Answer:
The ammeter must be connected in series to measure the current thru it.
Suppose one had a device to measure the rate of water passing thru it - the device would have to be placed in the water line for the measurement - not in parallel with the line
A new building was being built. (Into active)
When oberving an object, you determine it' moving at a contant velocity and in a traight line. Which of thee BEST decribe the ituation?
The correct answer is B) the net force acting on the object must be zero.
If an object is moving at a constant velocity and in a straight line, it means that the net force acting on the object is zero. This is because the velocity of an object is a measure of its speed and direction of motion, and if an object is moving at a constant velocity, it means that its speed and direction are not changing. In order for an object to change its velocity, there must be a net force acting on it. If the net force is zero, the object will continue to move at a constant velocity in a straight line.
A) there are no forces acting on the object is incorrect, because there are always forces acting on an object, such as gravity, friction, and air resistance.
C) the net force acting on the object is pushing in the same direction the object is traveling is incorrect, because if the net force is pushing in the same direction as the object is moving, it would cause the object to accelerate in that direction, rather than maintaining a constant velocity.
D) the net force acting on the object is pushing in the opposite direction the object is traveling is incorrect, because if the net force is pushing in the opposite direction as the object is moving, it would cause the object to decelerate or change direction, rather than maintaining a constant velocity.
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The question is -
When observing an object, you determine it is moving at a constant velocity and in a straight line. Which of these BEST describes the situation?
A) there are no forces acting on the object
B) the net force acting on the object must be zero
C) the net force acting on the object is pushing in the same direction
the object is traveling
D) the net force acting on the object is pushing in the opposite direction the object is traveling
Why do we use current i?
The symbol for current is I which originates from the French phrase i.e. intensité du courant that means current intensity.
Why do we use currently I?The use of the symbol “I” for current might seem unreasonable but the label appeared from a historical French term. In the 1820s, André-Marie Ampère showed that two parallel current-carrying wires will bring or repel each other depending on the direction of the currents lose through them.
The symbol I Ohm's law states that the current flowing through a conductor to the voltage V and resistance R that is, V = IR.
So we can conclude that Current is calculated in amps, symbolized by the letter “I”.
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If Juan tried to learn a long list of words, he would be most likely to forget words that
A
appeared early in the list
B
appeared near the end of the list
C
appeared in the middle of the list
D
were very unlike the rest of the words
E
were randomly dispersed throughout the list
He is most probable to forget words that are at the (c) middle of the list if she has a Long List of Words.
What is a List of Word?
As its name suggests, a list of words is an arrangement of words which can be done in a sequential manner or non-sequential manner. It can also be called as array. It is usually written in top to bottom fashion.
Assuming that there is a twenty list of words, then mostly the eye is usually focused on the early part and the last part of the list while ignoring the words that are present in middle.
Thus, we can say that Juan is most probable forget the words appearing in the middle of the list if she has a Long List of Words.
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A room was lighted with three 100-watt bulbs for 5 hours per day. If the cost of
electricity was 9¢ per kWh, how much would be saved per day by switching to
60-watt bulbs?
To find the amount of electricity used by the 100-watt bulbs, we need to first calculate the total wattage of the bulbs by multiplying the wattage of each bulb by the number of bulbs: 100 watts/bulb * 3 bulbs = 300 watts
Next, we need to convert the time the bulbs were used from hours to seconds. Since there are 3600 seconds in an hour, the bulbs were used for 5 hours * 3600 seconds/hour = 18000 seconds.
Now we can calculate the total amount of electricity used by the 100-watt bulbs by multiplying the wattage of the bulbs by the time they were used: 300 watts * 18000 seconds = 5.4 x 10^7 joules
To convert this to kilowatt-hours, we need to divide by the number of joules in a kilowatt-hour, which is 3.6 x 10^6. This gives us a total of 1.5 kWh.
At a cost of 9¢ per kWh, the cost of using the 100-watt bulbs for 5 hours per day is 1.5 kWh * $0.09/kWh = $0.135 per day.
To find the amount of money that would be saved by switching to 60-watt bulbs, we need to repeat the above calculation using the wattage of the 60-watt bulbs instead of the 100-watt bulbs. The total wattage of the 60-watt bulbs is 60 watts/bulb * 3 bulbs = 180 watts. This means that the total amount of electricity used by the 60-watt bulbs would be 180 watts * 18000 seconds = 3.24 x 10^7 joules, or 0.9 kWh.
At a cost of 9¢ per kWh, the cost of using the 60-watt bulbs for 5 hours per day is 0.9 kWh * $0.09/kWh = $0.081 per day.
Therefore, the amount of money that would be saved by switching to 60-watt bulbs is $0.135 per day - $0.081 per day = $0.054 per day.
How much of a company's emissions are Scope 3?
On average, firms emit 75% of their total greenhouse gas emissions under Scope 3. According to the CDP, a company's emissions typically make up 75 percent of Scope 3 emissions.
What are emissions under Scope 3?Scope 3 covers emissions that come from assets up and down the firm's value chain, but not from the company itself or as a result of their ownership or control of those assets.
How many different Scope 3 emission categories are there?Although not every category will be applicable to all enterprises, the GHG Protocol lists 15 categories of scope 3 emissions. Scope 3 emission sources comprise emissions from both the organization's operations upstream and downstream.
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Two packing crates of masses 10.0kg and 5.00kg are connected by a light string that passes over a frictionless pulley as shown in Figure. The 5.00kg crate lies on a smooth incline of angle 40.0 degree . Find the acceleration of the crates and the tension in the string.
The acceleration of the string is 4.3 m/s2.
What is Acceleration?We regard the positive direction for the vertical motion of mass m1 to be downward and the positive direction for the motion of mass m2 on the incline to be to the right and parallel to the incline.
There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.
Changing the speed at which an object is travelling is what acceleration is all about. A substance is not accelerating if its velocity is not changing. The information on the right depicts an object that is speeding as it moves northward.
Therefore, The acceleration of the string is 4.3 m/s2.
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.
a 60 kg skier with an initial velocity of 12 m/s coasts up a hill. at the top of the hill, the skier is traveling at 9.75 m/s. assuming there is no friction in the skis, how high was the hill?
Answer:
The height of the hill coasted by a skier of initial velocity 12 m/s is 2.5 m. And The correct option is C 2.5 m.
The high of the hill is 2.5 m
What is conservation of energy?
It states that energy can neither be created nor be destroyed.
Mass of skier,m = 60kg
initial velocity, u = 12 m/s
Final velocity, v = 9.75 m/s
As there is no friction, energy is conserved
∴ Initial kinetic energy + Initial potential energy = Final kinetic energy + Final potential energy
1/2 mu² + 0 = 1/2m v² + mgh
1/2 u² = 1/2 v² + gh
h = u² - v² /2g
= 12² - 9.75² / 2×9.8
= 48.9375/2×9.8
= 2.496 m
≈ 2.5 m
Therefore high of the hill is 2.5 m
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what is the force on the charge located at x = 8.00 cm in figure 18.52(a) given that q = 1.00 μc ?
The net force on the charge located at x = 8.0 cm in the given figure is F = +12.8 N.
According to Coulomb's law, the force on charges placed at a distance is
1) directly proportional to the product of their charges and
2) inversely proportional to the square of the distance between them.
F = K |q1q2| / r2
In the given fig
[tex]q_{1[/tex] = -1,0 μc
[tex]q_{2[/tex] = - 2,0 μc
[tex]q_{3[/tex] = + 1.0 μc
Force on q2 by q1, [tex]F_{q1q2[/tex] = K × -1 ×-2 /[tex](0.03)^{2}[/tex]
Force on q2 by q3, [tex]F_{q3q2[/tex] = K × -2× +1/ [tex](0.05)^{2}[/tex]
So net force is the difference of these two forces as they are directed in opposite direction.
So, net force is
[tex]F_{q1q2[/tex] - [tex]x_{q3q2[/tex] = +12.8 N
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What is simple and composite signal?
Answer:
Periodic analog signals can be classified as simple or composite. A simple periodic analog signal, a sine wave, cannot be decomposed into simpler signals. A composite periodic analog signal is composed of multiple sine waves.
Explanation:
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the Earth is on average 150 million km from the sun calculate its average speed in orbit?
Answer:
Orbital velocity of earth is 2.89 × 10⁵ m/s
Explanation:
the sun radiates like a perfect blackbody with an emissivity of exactly 1. (a) calculate the surface temperature of the sun, given it is a sphere with a 7.00 108 m radius that radiates 3.80 1026 w into 3 k space.
The temperature of surface of Sun = 5743.8 K
What is Stefan's Law ?
It states that the radiation emitted from area A of a black body at absolute temperature T is directly proportional to the fourth power of the temperature,
Or, P = σeAT⁴
Radius of sun = 7.00×10^8 m
Surface area of sphere, A = 4π*r²
σ = 5.67×10^-8
Power radiated by sun, P = 3.80*10^26 W
Power radiated by a body is given by, P = σeAT⁴
∴ T = [P/(σeA)]^(1/4)
T = [3.80×10^26/(5.67×10^-8×1×4×π×(7.00×10^8)^2)] ^ (1/4)
T = 5743.8 K
Therfore the temperature of surface of Sun = 5743.8 K
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if we measure distance with foots how much error generates?
Answer:
It generates many of the mistakes
Explanation:
When we meassure the distance with foot uniform velocity there there may arise many problems people foots are different to each other When we are measuring the distance from foot that is uniform velocity we must be very careful the timing of time and foot should be similar If not than there may generate many errors
The great mathematician Pythagoras also used the measurement with foot and he was successful because of his timing due to this he find the circumference of earth
Shepherd satellites are defined as?
A Shepherd satellite is a natural moon that orbits near the edge of a planetary ring to stabilize the ring's particles through its pull. Its name is given Shepherd, as they restrict hub particles as a shepherd.
They pick up particles through their gravitational pull and, using orbital resonance, deflect them from their original orbits. Examples are the moons of Uranus, known as Cordelia and Ophelia.
The rings of Uranus show are very thin and well-defined, with sharp gaps between them. This was explained by Goldreich and Tremaine. They suggested that two small satellites might be confining each ring. The first images of shepherd satellites were taken by Voyager.
The complex ring system of Saturn has many such satellites. A few are Prometheus, Daphnis, Pan, Janus, and Epimetheus.
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a box of mass m is being accelerated up a vertical wal by a constant force f applied at an angle
Consider a force of magnitude F pulling an object over a surface. The object is moving horizontally, with an angle of between the force and motion direction.
The length of the line AB makes up the force's component in the direction of motion.
What effects does angle have on force?
The component of force perpendicular to the incline reduces as the angle increases, while the component of force parallel to the incline grows. The weight vector's parallel component is what drives the acceleration. As a result, accelerations increase with increasing incline angles.
If we measure the acceleration and the driving force, we can use the formula F = ma to compute the mass of an item moving uniformly in a circle.
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What is radiogenic energy?
Answer:
Radiogenic heating is the thermal energy released as a result of spontaneous nuclear disintegrations. There are three major isotopes of the elements uranium, thorium, and potassium in the Earth's crust today.
What causes magnetic stripes on the seafloor ?
Answer:
The striped magnetic pattern develops because, as oceanic crust pulls apart, magma rises to the surface at mid-ocean ridges and spills out to create new bands of ocean floor. Later, after the planet’s magnetic field flips again, the next stripe of new ocean floor aligns its polarity.
Explanation:
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a 10-kg piece of aluminum sits at the bottom of a pool, right next to a 10-kg piece of lead, which is much denser than aluminum. which one has the greater buoyant force on it?
A 10-kg piece of aluminum sits at the bottom of a pool, right next to a 10-kg piece of lead. Aluminum has greater buoyant force acting on it.
Density is defined as mass per unit volume:
ρ = m /V
Where:
m = mass
V = volume
The lead is much denser than aluminum. Their densities are:
ρ_Al = 2.7 g/cm³
ρ_Pb = 11.29 g/cm³ (Pb is the symbol for lead)
From the equation, if the masses are the same, the density is inversely proportional to the volume.
In the given problem, since lead is denser than aluminum, hence, the volume of aluminum is greater than the volume of lead.
The buoyant force is equal to the weight of displaced water.
For each piece of metal, it holds
F = ρ_water x g x V_metal
Hence, the buoyant force is directly proportional to the volume of each piece of metal.
Since V_Al > V_Pb, then F_Al > F_Pb or Aluminum will experience greater buoyant force.
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a bystander hears a siren vary in frequency from 564 hz to 376 hz as a fire truck approaches, passes by, and moves away on a straight street. what is the speed of the truck>
The vehicle travels at a speed of Vs = 68.6 m/s.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Calculation:
Varying frequency of the siren = 564 Hz to 376 Hz
speed of sound = 343 m/s
speed of truck calculation
using equation of Doppler'sWhen the truck is approaching
Fs = F₀(v - vs)/v......(i)
Doppler's equation when truck is moving away
Fs = F₁(v + vs)/v ......(ii)
equating both the equation
Fs = F₀(v - vs)/v = Fs = F₁(v + vs)/v
on simplifying the above equation we get
Vs = v(F₀ - F₁)/F₀ + F₁)
F₀ = 564Hz
F₁ = 376 Hz
now,
Vs = 343 ₓ (564 - 376)/(564 + 376)
Vs = 68.6 m/s
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Is alpha an particle?
A sports car accelerates at a constant rate from rest to a speed of 27. 8 m/s in 8. 00 s. What is the displacement of the sports car in this time interval?.
The displacement of the sports car is approximately 222.4 m. This is the distance traveled by the car in the 8.00 s time interval, assuming that it accelerates at a constant rate.
To calculate the displacement of the sports car, you will need to know its acceleration as well as its initial and final velocities. Displacement is defined as the change in position of an object, and it can be calculated using the equation:
Displacement = (Final Velocity + Initial Velocity) / 2 * Time
In this case, the initial velocity of the sports car is 0 m/s (since it is starting from rest) and the final velocity is 27.8 m/s. The time interval is 8.00 s. Plugging these values into the equation above, we get:
Displacement = (27.8 m/s + 0 m/s) / 2 * 8.00 s
This simplifies to:
Displacement = 27.8 m/s / 2 * 8.00 s
This further simplifies to:
Displacement = 27.8 m/s * 8.00 s / 2
This simplifies to:
Displacement = 222.4 m
So the displacement of the sports car is approximately 222.4 m. This is the distance traveled by the car in the 8.00 s time interval, assuming that it accelerates at a constant rate.
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What are 3 examples of irony in The Interlopers?
The 3 examples of irony in The Interlopers are:
Death by Nature: It's ironic that two men went hunting and were hunted by a pack of wolves.
Call for Help: It's ironic that the couple's decision to use his call ends up attracting a pack of wolves instead of fellow travelers.
Forgiveness: Too Little, Too Late: It's ironic that two men decide to put an end to a generational feud, and die shortly after their disagreements are resolved without even witnessing the exchange.
What is irony?
Irony in its broadest sense is the juxtaposition of what appears to be on the surface and what is or is expected to be. It is an important rhetorical and literary technique. Sarcasm can be divided into several types, including verbal sarcasm, dramatic sarcasm, and circumstantial sarcasm.
Therefore, The 3 examples of irony in The Interlopers are:
Death by Nature, Call for Help, Forgiveness.
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a freight elevator weighting 3000 lbs is supported by a 12 foot cable weighing 15 lb per linear foot. find the work required to lift the elevator 10 ft by winding the cable onto a winch
The work required to lift the elevator 10 ft by winding the cable onto a winch is 28,195ft*lb
Define work done.
The result of a force's displacement and its component of force exerted by the object in the direction of displacement is what is known as the force's work. When we push a block with some force, the body moves quickly and work is completed.
3000lb * (9ft)=27000ft*lb of labour is required to lift the elevator.
A piece of rope is being lifted by the winch over a distance of 12-y from 0 to 9. The weight of each part is 14dy.
W = int0-9[14(12-y)]dy
= 15int0-1[0(12-y)]dy
W = 15[12y-.5y^2]^0-9
W = 1195 ft*lb
Total work = 27000+1195 = 28,195ft*lb
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Is frequency the distance between waves?
No , frequency of a wave is not distance between waves, it is called wavelength.
Frequency is the number of waves that pass a particular point in a given period of time. It is typically measured in Hertz (Hz), which is the number of waves per second. Wavelength, on the other hand, is the distance between two consecutive crests or troughs of a wave. It is typically measured in meters (m). So frequency and wavelength are related, but they are not the same thing. Frequency is a measure of the number of waves, while wavelength is a measure of the distance between waves.
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friction usually acts to oppose, or slow down, the velocity of objects. which situation is an example of friction causing an increase in velocity?
There are certain situations where friction can cause an increase in velocity. One such situation is when an object is sliding down a hill or incline.
In this case, the force of gravity is pulling the object down the incline, and the force of friction is acting against this motion, pushing up against the object. However, because the incline is angled downward, the force of friction is actually able to provide an upward acceleration to the object, causing it to increase in velocity as it moves down the hill.
Another situation where friction can cause an increase in velocity is when an object is sliding along a flat surface and a force is applied to it in the direction of motion. In this case, the friction between the object and the surface can provide an additional force that helps to accelerate the object.
Friction usually acts to oppose the motion of objects, slowing them down or bringing them to a stop. It's important to note that these situations are relatively rare, and in most cases, friction will act to oppose the motion of objects and slow them down.
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