the time difference between the two rocks is4.04 - 3.23 = 0.81 s
Given,
Height of the cliff, h = 100 m
Initial velocity of the first rock, u = 15.0 m/s
Let the time at which the second rock is dropped bet seconds. For the first rock, using first equation of motion, we have
h = ut + (1/2)gt²where g = 9.8 m/s² is the acceleration due to gravity.
Substituting the values, we get100 = 15t + (1/2)×9.8×t²100 = 15t + 4.9t²On solving, we get
t = 3.23 s (ignoring the negative value of t obtained from the quadratic equation)Time taken by the first rock to reach the ground, using the second equation of motion, is given by
h = (1/2)gt²=> t = √(2h/g) = √(200/9.8) = 4.04 s
Time taken by the second rock to reach the ground, using the first equation of motion, is given byh = (1/2)gt²=> 100 = (1/2)×9.8×t²=> t = √(200/9.8) = 4.04 s
Therefore, the time difference between the two rocks is4.04 - 3.23 = 0.81 s
Rounding off to two decimal places, we get0.81 ≈ 0.80 s
Hence, the correct option is (d) 1.78 s.
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If the longest wavelength transition for a particle in a one-dimensional box is 200 nm, what is the wavelength (nm) when the mass is doubled, the charge on the mass is doubled, and the length of the box is doubled?
A. 200/200/800
B. 400/200/400 nm
C. 200/200/200 nm
D. 400/400/400 nm
E. 400/200/800 nm
The length of the box is doubled is 400/200/400 nm. This is because the wavelength is inversely proportional to the mass and charge, and directly proportional to the length.
When the mass of a particle is doubled, the wavelength is also doubled. This is because the wavelength of a particle is inversely proportional to its mass, meaning that as the mass increases, the wavelength decreases. Therefore, when the mass is doubled, the wavelength is also doubled from 200 nm to 400 nm. Similarly, when the charge on the mass is doubled, the wavelength is also doubled from 200 nm to 400 nm. This is because the wavelength of a particle is also inversely proportional to its charge, meaning that as the charge increases, the wavelength decreases. Finally, when the length of the box is doubled, the wavelength is also doubled from 200 nm to 400 nm. This is because the wavelength of a particle is directly proportional to the length of the box, meaning that as the length of the box increases, the wavelength also increases. Therefore, the wavelength when the mass is doubled, the charge on the mass is doubled, and the length of the box is doubled is 400/200/400 nm.
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Which of these
is a term for the
process of
wearing rock
down by
friction?
A. rusting
B. dissolving
C. abrasion
D. exfoliation
Answer: C.
Explanation: Abrasion is where two things rub together causing friction, which in turn wears the rock down.
The particles leave a trail behind them as they move. The longer the trail, the faster that the particle is moving. During any up-and-down cycle of the particle, describe the speed. At what point during its motion does it move with the greatest speed AND smallest speed?
The particles leave a trail behind them as they move. The longer the trail, the faster that the particle is moving. During any up-and-down cycle of the particle, describe the speed. It moves with the greatest speed AND smallest speed when there is a change in the direction.
What speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time;
Speed is a scalar quantity.
The particle will move faster when there is a change in the direction on the movement of the particle.
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During glacial periods, the concentration of 18O in the oceans will be ______ compared to interglacial periods.A) you can't tellB) lowerC) the sameD) higher
During glacial periods, the concentration of 18O in the oceans will be higher compared to interglacial periods. The answer is D)
This is because during glacial periods, much of the Earth's water is locked up in ice sheets, causing the volume of the ocean water to decrease.
Since water containing the lighter isotope 16O evaporates more easily than water containing the heavier isotope 18O, the concentration of 18O in the remaining seawater increases.
The opposite happens during interglacial periods, when the ice sheets melt and the volume of the ocean water increases. As a result, the concentration of 18O in the oceans decreases during interglacial periods.
This change in 18O concentration can be detected in the shells of microorganisms that live in the ocean, and is used by scientists as a tool to study past climate change.
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if a beam of radiation containing 1000 x-rays is spread out over a square field that measures 10 inches long and 10 inches wide, what is the concentration of x-rays per square inch?
By dividing the quantity of x-rays by the total field area, it is possible to determine the concentration of x-rays per square inch. As a result, there are 10 x-rays per square inch when 1000 x-rays are divided by 100 square inches.
High energy, short wavelength electromagnetic radiation is what X-rays are. Since their discovery in 1895 by Wilhelm Conrad Roentgen, they have been applied in numerous fields, such as cancer treatment and medical imaging. X-rays are used in medical imaging to create images of the internal anatomy of the body, including the bones and organs, to aid in the diagnosis of illnesses and injuries. X-rays are used to cure cancer by destroying cancerous cells and reducing tumour size. X-rays can also penetrate a wide range of materials, which makes them valuable in a number of other industries like industrial inspection and security scanning. However, prolonged exposure to X-rays can be hazardous, cause tissue damage, and raise the risk of developing cancer.
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Which of the options below shows order from SMALLEST to LARGEST?A. planet < solar system < galaxy < universeB. universe < galaxy < solar system < planetC. planet < galaxy < solar system < universe
Answer:
A. planet < solar system < galaxy < universe
Explanation:
The universe is all the existing space, so it is formed by galaxies which are set of stars that hold together. This starts from solar system because they are surrounding by planets and other objects.
Therefore, the order form smallest to largest is
A. planet < solar system < galaxy < universe
Which strategy do geologists use to locate the center of an earthquake?
Answer:
Geologists use seismic waves to locate the center of an earthquake.
Explanation:
Answer: they collect data from seismographs
Explanation: on the quiz on edge 2020, it’s correct
What statement best describes the situation in the diagram
If you raise the tension on the string by a factor of 4 whiledriving it at a fixed frequencyGroup of answer choicesA. The wavelength gets shorter by a factor of 2.B. The velocity gets larger by a factor of 2.C The mass per length increases by a factor of 2.D All but C
When driving a string at a given frequency while increasing the tension by a factor of 4, the velocity increases by a factor of 2. Option 2 is Correct.
As a result, the frequency doubles. The frequency of a vibrating body reduces with increasing mass, but increases with increasing tension. The frequency rises as the tension rises because the wave speed increases.
Since frequency closely correlates with the square root of stress, when tension rises, frequency rises as well. As you point out, increasing the tension shortens the wavelength in air but does not, contrary to what the book claims, lengthen the wavelength on the string. Option 2 is Correct.
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Correct Question:
If you raise the tension on the string by a factor of 4 whiledriving it at a fixed frequency: Group of answer choices
A. The wavelength gets shorter by a factor of 2.
B. The velocity gets larger by a factor of 2.
C The mass per length increases by a factor of 2.
D All but expect C.
What is the relationship between the net force applied to an object and the work done on that object?
Answer:
work done is directly proportional to the net force acting on the object.
Explanation:
work done = Force × displacement
A force of 20N displaces an object to 5m in 10s. Calculate the power.
Answer:
hope it helps you see the attachment for further information
a photographer focuses his camera on his subject. the subject then moves closer to the camera. to refocus, should the lens be moved closer to or farther from the detector? explain.
A photographer focuses his camera on his subject. The subject then moves closer to the camera. To refocus, the lens should be moved further from the detector.
When the subject is moved closer to the camera, the camera's lens should be moved away from the detector. As the subject moves closer to the camera, the distance between the lens and the detector decreases, causing the camera to lose focus.
Therefore, in order to refocus the camera and capture a clear image of the subject, the lens must be moved further away from the detector, increasing the distance between the lens and the detector and reestablishing the proper focal length.
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A 250 kg part falls off a plane and hits the ground vertically at 150 km/h . a) Find its kinetic energy. (Remember units!) b) How high is the plane?
a) The kinetic energy of the part is calculated using the formula K = ½mv², where m is the mass of the part and v is the velocity. Therefore, the kinetic energy of the part is 375,000 J.
b) Since the energy of the part is known and the velocity is given, the kinetic energy equation can be rearranged to solve for the height. By rearranging the kinetic energy equation to K = ½mv² = mgH and replacing the kinetic energy with 375,000 J and the mass with 250 kg, the height can be calculated to be 1,500 m. This means that the plane is 1,500 m above the ground when the part falls off.
The kinetic energy equation can be used to calculate the energy of an object given its mass and velocity, as well as calculate the height of the object given its mass, velocity, and energy. In this problem, the mass and velocity of the falling part were given, allowing us to calculate its kinetic energy. We then rearranged the equation to solve for the height, giving us the height of the plane when the part fell off.
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Details The force on a particle is described by 10x³ - 5 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 2.
Answer:
To find the work done in moving the particle from the origin to x = 2, we need to integrate the force over the given interval.
The work done (W) is calculated by integrating the force function with respect to displacement (dx) from the initial position (0) to the final position (2):
W = ∫(0 to 2) (10x³ - 5) dx
Integrating the force function, we get:
W = ∫(0 to 2) (10x³ - 5) dx = [2.5x⁴ - 5x] evaluated from 0 to 2
Now, substituting the upper limit (2) and lower limit (0) into the equation:
W = [2.5(2)⁴ - 5(2)] - [2.5(0)⁴ - 5(0)]
= [2.5(16) - 10] - [0 - 0]
= 40 - 10
= 30
Therefore, the work done in moving the particle from the origin to x = 2 is 30 units of work.
Explanation:
the jet stream flows: select one: a. directly from west to east. b. directly from east to west. c. from the equator towards the poles. d. in a wavy pattern from west to east.
The jet stream is a narrow band of strong, high-altitude winds that flow in a westerly direction across the mid-latitudes of the Earth, generally between 30 and 60 degrees latitude in both hemispheres. The correct answer is d.
These winds can reach speeds of over 200 miles per hour and are caused by the differences in temperature and pressure between the polar and tropical regions. As the Earth rotates, the Coriolis effect causes the jet stream to follow a meandering. These waves can have a significant impact on weather patterns, as they can cause areas of high and low pressure to form, which can lead to storms, cold fronts, and other weather phenomena. Correct answer is option: d.
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When water vapor (a gas) starts to cool, it can
become a liquid. What causes this change in the
state of matter in water?
Answer:
This process is CONDENSATION
Explanation:
Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.
A horizontal rope is attached from a truck to a 1475-kg car. As the truck tows the car on a horizontal straight road, the rope will break if the tension is greater than 2551 N. Ignoring friction, what is the maximum possible acceleration of the truck if the rope does not break?
Given data
*The given mass of the car is m = 1475 kg
*The maximum tension is T = 2551 N
The formula for the maximum possible acceleration of the truck is given by Newton's second law as
\(\begin{gathered} T=ma_{\max } \\ a_{\max }=\frac{T}{m} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} a_{\max }=\frac{2551}{1475} \\ =1.72m/s^2 \end{gathered}\)Hence, the maximum possible acceleration of the truck is a_max = 1.72 m/s^2
The velocity – time graph of an object moving along a straight line is shown in
fig. Find (a) the distance covered and (b) the displacement of the object in time
interval between t = 0 s and t = 10 s
(a) The distance travelled by the object is 100 m.
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.
What is the distance covered by the object?(a) The distance travelled by the object is calculated from the total area of the curve.
total distance = area of triangle 1 + area of triangle 2 + area of rectangle.
total distance = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
total distance = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)
total distance = 60 m + 20 m + 20 m
total distance = 100 m
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;
displacement = final position - initial position
displacement = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
displacement = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)
displacement = 60 m - 20 m + 20 m = 60 m
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_____________ is the multiplying force in a group that results in a combined effort that is greater than any of the parts. it reflects the saying that two heads are better than one.
Synergy is the multiplying force in a group that results in a combined effort that is greater than any of the parts. it reflects the saying that two heads are better than one.
Synergy occurs when the collaboration and interaction of individuals in a group lead to enhanced creativity, productivity, and problem-solving capabilities. It is the concept that the collective effort of a team can produce results that surpass what each individual could achieve on their own.
When people work together synergistically, their unique perspectives, skills, and knowledge complement and amplify one another. They can combine their strengths, pool resources, and generate new ideas through active collaboration and cooperation. This synergy can lead to increased efficiency, improved decision-making, and innovative solutions to complex problems.
The power of synergy lies in the diverse perspectives and expertise that individuals bring to a group. By valuing and integrating different viewpoints, team members can leverage their collective intelligence and generate novel insights and strategies.
Synergy is not only applicable in work settings but can also be observed in various areas of life, such as sports teams, creative endeavors, and community initiatives. It underscores the importance of effective teamwork, communication, and synergy-building skills in achieving exceptional outcomes.
In summary, synergy represents the multiplying force that arises when individuals work together in a group, resulting in a combined effort that surpasses what each individual could accomplish independently. It embodies the notion that collaboration and cooperation can lead to enhanced performance and outcomes, reflecting the saying that "two heads are better than one."
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let q represent a mass of radioactive plutonium (in grams) whose half-life is 24,100 years. if you began with 16g, express the amount of plutonium remaining as a function of time, t, in years. find the amount of plutonium remaining after 50,000 years, rounded to one decimal place.
The amount of plutonium remaining after 50,000 years, rounded to one decimal place will be approximately 2.4g.
To express the amount of plutonium remaining as a function of time, t, in years, we can use the radioactive decay formula:
Q(t) = Q₀ * \((1/2)^{(t/T)\)
Where Q(t) represents the mass of plutonium remaining after time t, Q₀ is the initial mass of plutonium, t is the time in years, and T is the half-life of the radioactive substance.
In this case, Q₀ = 16g and T = 24,100 years. Plugging these values into the formula, we get:
Q(t) = 16 * \((1/2)^{(t/24,100)\)
To find the amount of plutonium remaining after 50,000 years, substitute t with 50,000:
Q(50,000) = 16 * \((1/2)^{(50,000/24,100)\)
Calculate the expression:
Q(50,000) ≈ 2.4g
So, after 50,000 years, there will be approximately 2.4g of plutonium remaining, rounded to one decimal place.
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3) A charged particle is moving with velocity of V in a magnetic field of B, which one of the followings is correct: A) The direction of force F on the charge is parallel to magnetic field B B) The direction of force F on the charge is parallel to velocity direction V C) The force is maximized when velocity direction and magnetic field are parallel D) The force F is perpendicular (normal) to both velocity V and magnetic field B E) The direction of force on positive charge or negative charge would be the same
Answer:
D) The force F is perpendicular (normal) to both velocity V and magnetic field B.
Explanation:
When a charged particle enters a magnetic field, it experiences a force which changes its direction of travel. The direction of motion of the charged particle, the magnetic field direction, and the direction of the force, are all perpendicular to one another. According to Lorentz right hand rule, hold the right hand parallel to the ground, with the palm facing up, and the thumb held out at right angle to the other fingers. If the direction of the other fingers represents the magnetic field line and direction, and the thumb represents the direction of motion of a positively charged particle, then, the palm will push up in the direction of the force. For a negatively charged particle, the force will push down in the direction of the back of the hand.
solve for n: 2 + 4tan(1 - n) = 1
Answer:
SOLVE FOR N:
n=πn1+arcsin(1717)+1
n1∈Z
----------------------------------------
Trigonometry
2+4 tan (1-9)=1
I hope this helps ( ゚д゚)つ Bye
A negatively charged balloon touching a wooden wallPulls positive charge on the wall surface toward it Pushed negative charge in a wall away from itPolarizes molecules on the wall All of the above
Given that the balloon is negatively charged and it is touching a wooden wall, the ballon will perform all the actions given in the answer choices.
A negatively charged balloon will pull positive charge on the wall surface towards it, since opposite charges attract each other.
Also, the negatively charged balloon touching a wooden wall will push any negative charge in the wall away from it. This is because like charges repel each other.
The negatively charged balloon also polarizes the molecules on the wall. This is because in molecules, atoms are bonded together since protons in one atom attract the electrons in the cloud of another atom.
Therefore, the correct choice is All of the above
ANSWER:
All of the above
you need to determine the density of a ceramic statue. if you suspend it from a spring scale, the scale reads 28.4 n. if you then lower the statue into a tub of water so that it is completely submerged, the scale reads 17.0 n.
The density of ceramic statue was found to be 2500kg/m³
First we calculate amount of water displayed
= 28.4 - 17.0 = 11.4N of water displaced.
Now, we calculate the volume of water displayed ,
Volume=water displaced /gravity
=11.4/9.8
Volume = 1.16kg of water.
we know that, density of water = 1000kg/m³
so, density of 1.16 kg= 1.16 x10^-3 m^3
mass of ceramic statue= 28.4 N/9.81 kg = 2.90 kg.
At last we calculate, density of ceramic statue by,
density of ceramic statue = ceramic mass/ density of water
= 2.90/(1.16 x 10^3) = 2500kg/m³
Thus, the density of ceramic statue is found to be 25kg/m³.
The measure of how densely a material is packed together is called density. As the mass per unit volume, it has that definition. Density Formula = m/V, where is the density, m is the object’s mass, and V is its volume. Density Symbol: D
If you are mixing a immiscible liquid in water, then if the density of the liquid sample is less than density of water then it it’s floats on upper surface .
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what is types of motion
Answer: here the answer!
Explanation:
In the world of mechanics, there are four basic types of motion. These four are rotary, oscillating, linear and reciprocating. Each one moves in a slightly different way and each type of achieved using different mechanical means that help us understand linear motion and motion control.
Which of the following has potential but not kinetic energy?
A.) A roller coaster zooming down a hill
B.) A child riding their bike
C.)A bird flying from a tree
D.) A ball sitting on a shelf
Answer:
D.)Explanation:
Potential energy is when a object is not in motion and the ball is sitting on a shelf not being thrown around or rolling. kinetic energy is when a obeject is in motion and moving.
a girl standing on a bridge throws a stone vertically upwards at 6 ms⁻1. it hits the water below the bridge after 2 seconds. find the speed at which the stone hits the water and the initial height of the stone
The speed at which the stone hits the water is 13.6m/s and the initial height of the stone is 7.6m.
Speed of stone as it hits the waterInitial velocity of stone = 6 ms⁻¹
At the maximum height, the final velocity, v = 0
Acceleration of the stone, g = 9.8 ms⁻²
Time taken to reach maximum height = t₁
Using, v = u + gt₁t₁ = v - u/g
since the stone is travelling upwards, g = -9.8 m/s⁻²
t₁ = 0 - 6/-9.8
t₁ = 0.61 s
Time take to fall from maximum height, t = 2 - 0.61s
Time take to fall from maximum height = 1.39s
Calculating the final velocity using the formula, v = u + gtwhere u = 0 m/s
v = 0 + 9.8 * 1.39
v = 13.6 m/s
Initial height of stoneInitial height of stone = Height of bridge, H
Time taken by the stone to fall down from height, H in water, t = 2s
Initial velocity of stone = 6 ms⁻¹
Acceleration of the stone, g = 9.8 ms⁻²
Height of the bridge, H = -ut + gt²/2Initial velocity is negative since it is against gravityH = -6 * 2 + 9.8 * 2² /2
H = 7.6m
Therefore, the speed at which the stone hits the water is 13.6m/s and the initial height of the stone is 7.6m
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The base unit for length is the
1. millimeter.
2. gram.
3. milligram.
4. meter.
Answer:
meter
Explanation:
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A box is on the side of a hill inclined at 30°. The weight of the box is 40 pounds. What is the magnitude of the force required to keep the box from sliding down the hill?
We will have that the magnitude of the force required is:
\(F=(20kg\ast9.8m/s^2)sin(30)\Rightarrow F=98N\)So, it will need at least 98 N to keep it from moving downwards.
an empty plastic or glass dish being removed from a microwave oven is cool to the touch. how can this be possible? (assume that your electric bill has been paid.)
The plastic or glass dish does not absorb microwaves and is not heated directly. The food inside the dish heats up and then transfers some of that heat to the dish by conduction.
When food is heated in a microwave, the microwaves excite the water molecules present in the food, causing them to vibrate and generate heat, which in turn cooks the food. However, most plastic and glass dishes are transparent to microwaves, which means that they do not absorb microwaves and do not get hot. The reason for this is that the microwaves have a much larger wavelength than the size of the molecules in the plastic or glass.
When food is heated in a microwave, the microwaves excite the water molecules present in the food, causing them to vibrate and generate heat, which in turn cooks the food. However, most plastic and glass dishes are transparent to microwaves, which means that they do not absorb microwaves and do not get hot. The reason for this is that the microwaves have a much larger wavelength than the size of the molecules in the plastic or glass.
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