The fraction of its electrons which have been removed is calculated to be 0.02442 × 10⁻⁹.
Given that,
Diameter of the copper ball = 2.00 mm = 0.002 m
Charge on ball = 40 nC = 40 × 10⁻⁹ C
Density of copper = 8900 Kg/m³
Now let us calculate,
The number of electrons removed, n = charge on the ball/charge of an electron
Charge on a single electron = 1.6 × 10⁻¹⁹ C
Thus, n = (40 × 10⁻⁹)/(1.6 × 10⁻¹⁹) = 25 × 10¹⁰ electrons
Mass of copper ball = volume × density = 4/3 π × (d/2)³× 8900 = 4/3 π × (0.02/2)³× 8900 = 0.03726 gm
Molar mass of copper = 63.546 g/mol
Number of mol of copper in 0.03726 grams = 0.03726 / 63.546 = 5.86 × 10⁻⁴ mol
1 mol of a substance has = 6.022 × 10²³ atoms
5.86 × 10⁻⁴ mol of copper contains = 5.86 × 10⁻⁴ × 6.022 × 10²³ atoms = 35.88 × 10¹⁹ atoms
A neutral copper atom has 29 electrons.
So, number of electrons in ball = 29 × 35.88 × 10¹⁹ = 1023.37 × 10¹⁹ electrons.
Hence, the fraction of electrons removed = (25 × 10¹⁰)/(1023.37 × 10¹⁹) = 0.02442 × 10⁻⁹
The given question is incomplete. The complete question is 'A 2.0-mm-diameter copper ball is charged to 40 nC.'
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List explicitly all the ways to arrange 2 quanta among 4 one-dimensional oscillators.a. 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001b. 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022c. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002d. 2000, 0200, 0020, 0002e. 1100, 1010, 1001, 0110, 0101, 001f. 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020
a. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 1000, 0100, 0010, 0001
b. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2200, 2020, 2002, 0220, 0202, 0022
c. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002
d. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 2000, 0200, 0020, 0002
e. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 001
f. The ways to arrange 2 quanta among 4 one-dimensional oscillators are: 1100, 1010, 1001, 0110, 0101, 0011, 2000, 0200, 0020, 0002, 2200, 2020
Option e, there is a typo, it should be 0011 instead of 001.
What is the difference between classical and quantum oscillator?A classical particle has a given position at a fixed time, even if we do not know this position. This is not anymore true for the quantum particle. For the quantum oscillator, the energy eigenfunctions and probability densities extend beyond the classical turning points.
What are four types of quantum?The set of numbers used to describe the position and energy of the electron in an atom is called quantum number. There are four quantum numbers-principal, azimuthal, magnetic and spin quantum numbers.
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A tiny insect is trapped 1.0 mm from the center of a spherical dewdrop 4.0 mm in diameter.
As you look straight into the drop, what is the insect's apparent distance from the drop's surface?
Express your answer using two significant figures. Answer is in mm.
On the same side as the object, the distance is negative, so the apparent distance of the insect from the drop's surface is -3.0 mm. This means the insect appears to be 3.0 mm inside the surface of the drop.
Calculation-The apparent distance from the drop's surface can be calculated using the formula for the radius of curvature of a spherical mirror, which is given by:
1/R = (n-1)(1/R1 + 1/R2)
Where R is the radius of curvature of the spherical mirror, n is the refractive index of the medium between the object and the mirror, R1 is the distance of the object from the mirror, and R2 is the distance of the image from the mirror.
In this case, the dewdrop is the spherical mirror and the insect is the object. Since the dewdrop is filled with water, which has a refractive index of about 1.33, the insect is in the air which has a refractive index of 1.R1 = 1.0 mm (distance of the object from the center of the spherical mirror)
R2 = ? (distance of the image from the center of the spherical mirror)
1/R = (1 - 1)(1/1.0 mm + 1/R2)
R2 = -1/ (1/1.0 mm - 1/R)
We know that R = (4.0/2) mm = 2.0 mm, so we can substitute that into the equation and solve for R2:
R2 = -1/ (1/1.0 mm - 1/2.0 mm)
R2 = -3.0 mm
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(c) Identify the forces acting on your hand. (Select all that apply.) book on hand hand on book floor on hand earth on hand'
Both the force of "Hand on the book" and the force of "Earth on the book" are directed upward. The ground and the book are being drawn in toward the hand. As a result, the forces pulling on the hands are "Book on hand" and "Earth on hand."
Gravity, usually referred to as gravitation, is the unchanging force of attraction that binds everything together in physics. Being the weakest known force in nature, it has minimal effect on defining the inherent properties of everyday objects.
The force "Hand on the book" is directed upward, and the force "Earth on the book" is directed downward. The hand is being pulled toward the book and the earth.
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wave motion that is perpendicular to wave direction describes a____
Wave motion that is perpendicular to wave direction describes a transverse wave.
What is transverse wave?A transverse wave is a type of wave that moves perpendicular to its direction of energy transfer. This type of wave is characterized by oscillations or vibrations that take place perpendicular to the direction of energy propagation. Examples of transverse waves include electromagnetic waves such as light, radio waves and microwaves, as well as mechanical waves such as sound, seismic and ocean waves. In a transverse wave, the direction of the vibration is perpendicular to the direction of the energy transfer, while the direction of the energy transfer is parallel to the wavefront. Transverse waves can be described by their amplitude, frequency and wavelength. The amplitude of a transverse wave is the maximum displacement from its equilibrium position, while the frequency is the number of vibrations per second and the wavelength is the distance from one peak or trough to the next.
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A highway curves to the left with radius of curvature of 44 m and is banked at 16 ◦ so that cars can take this curve at higher speeds. Consider a car of mass 1563 kg whose tires have a static friction coefficient 0.72 against the pavement. How fast can the car take this curve without skidding to the outside of the curve?
The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.
Given that,
Radius of the track r = 44 m
Inclination θ = 16°
Mass of car m = 1563 kg
Coefficient of kinetic friction μ = 0.72
By analysing the free body diagram, we get,
N cos θ - fr - m g = 0 ----(1)
where, N is normal reaction
fr is friction
N cos θ + fr cos θ = mv²/r ----(2)
fr = μ N ----(3)
From (1), (2) and (3) we get maximum velocity without skidding as,
v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s
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define astronomical unit. define astronomical unit. the average distance between earth and the sun, which is about 9.46 billion kilometers. the distance that light can travel in 1 year, which is approximately 149.6 billion kilometers. the average distance between the sun and neptune, which is approximately 4497 million kilometers. the average distance between earth and the sun, which is approximately 149.6 million kilometers. the distance that earth travels around the sun in 1 year, which is about 9.46 million kilometers.
However, it is around 93 million miles on average between Earth and the sun (150 million kilometers). This distance is also known as one astronomical unit by scientists (AU)
What does the term "astronomical" mean?
Astronomical: Extremely or unbelievable huge; of or connected to astronomy. The price was exorbitant. astronomically
What does astronomy mean exactly?
Like the other disciplines, astronomy too began as a -ology, although it was termed astrology. Astro-, which naturally meaning "star," is a prefix that both astrological and astronomy share. "Knowledge" or "science" are denoted by the prefix -ology.
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at the end of a race a runner decelerates from a velocity of 8.80 m/s at a rate of 2.40 m/s2. (a) how far in meters does she travel in the next 4.80 s? (assume the deceleration of 2.40 m/s2 is constant over the full 4.80 s.)
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position in a given direction. It is typically represented as a combination of a magnitude (speed) and a direction.
To determine the distance the runner travels in the next 4.80 s, we can use the equation of motion for constant acceleration:
d = vi*t + (1/2)at^2
where d is the distance traveled, vi is the initial velocity, t is the time interval, and a is the acceleration.
In this case, the initial velocity is 8.80 m/s, the acceleration is -2.40 m/s^2 (since it is deceleration), and the time interval is 4.80 s.
So, we can plug in the known values into the equation:
d = vi*t + (1/2)at^2
d = 8.804.80 + (1/2)(-2.40)*(4.80)^2
d = 42.24 m
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
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Considering that the volume remains unchanged during the experiment, how does the total pressure in the bulbs change if the reaction is allowed to go to completion?There is not enough information to determine how the total pressure wll change.The total pressure will remain constant The total pressure will decrease. The total pressure will increase.
Considering that the volume remains unchanged during the experiment, the total pressure will decrease.
What is pressure?The pascal (Pa), or one newton per square meter (N/m²), is the SI unit for pressure. A unit of surface area is used to define pressure as force. The area that an object affects and the force it applies are both inversely proportional to the pressure that object exerts..
Pressure has a significant impact on all aspects of our lives, including the weather and flying. It is particularly significant during chemical reactions. Chemists can accelerate the transitions between solids, liquids, and gases as well as force chemical reactions to take place by varying the pressure.
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Complete question is attached below.
Express the force as a Cartesian vector. F 750 N Prob. F2-17
A force vector with magnitude 750 N and angle 30⁰ can be written as a Cartesian vector as: F = 375√3 i + 375 j
A vector can be written as its x-component and y-component.
Suppose the angle of a vector F with the positive x-axis is θ, then its components are given by:
Fx = F cos θ
Fy = F sin θ
Then,
F = Fx i + Fy j
= F cos θ i + F sin θ j
In the given problem, θ = 30⁰, F = 750.
Hence,
Fx = 750 cos 30⁰
= 750 (1/2)√3 = 375√3
Fy = 750 sin 30⁰
= 750 (1/2) = 375
Thus, the vector can be written as a Cartesian vector:
F = 375√3 i + 375 j
Your question is incomplete, most likely your question was:
Express the force as a Cartesian vector. F 750 N. The angle of the force vector with the horizontal is 30⁰.
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A bicycle that travels twice as fast as another when braking to a stop will skid sixteen times as far. depends on the bike's mass twice as far. eight times as far four times as far.
"A bicycle that travels twice as fast as another when braking to a stop will skid four times as far."
Kinetic energy has a speed term squared in its expression.
Accordingly, doubling your speed will result in a four times increase in energy (2² = four). Your energy will increase nine times if your pace is three times faster (3² = 9).
The energy of motion is known as kinetic energy, and it can be observed in the motion of objects or subatomic particles. Kinetic energy is present in all particles and moving objects. Examples of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a charged particle in an electric field.
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Please help if you can!
2. You will need a magnifying glass and a small piece of scrap paper for this demonstration.
a. Go outside on a sunny day and put the piece of paper on a patch of asphalt, concrete, or a large flat
rock. Make sure there is no other combustible material or debris in the vicinity.
b. Hold the magnifying glass so it is close to the paper, with rays of sunlight shining through it. Move the magnifying glass side to side and close or away from the paper until the most concentrated ray of light is shining on the paper. This is the focal point for that magnifying glass.
C. Measure the distance between the focal point and magnifying glass. This is the focal length for that magnifying glass. (Be careful; if you hold the magnifying glass in that place for long enough, the paper will catch fire. Do not ever do this on your skin or clothing, as it can cause serious burns.)
d. Now take the magnifying glass inside and use it to look at the it words in a book. What is the focal
length now?
Answer:
b
Explanation:
The vernier caliper reads a distance of ___O 3.07 cm. O 3.50 cm. O 3.70 cm. O 3.97 cm.
The vernier caliper reads a distance of 3.07 cm. So option A is correct.
The Vernier caliper is a precision measuring instrument that is used to measure internal and external dimensions with high accuracy. The vernier scale allows for measurements in increments that are smaller than the smallest division on the main scale.
Additionally, the object being measured should be securely held in place and parallel to the jaws of the caliper. The reading on the vernier scale is then combined with the reading on the main scale to give the final measurement.
In the case of the question, the reading is 3.07cm, but it's important to note that without more information about the context of the measurement, the reading could be different.
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4. a 1000 kg sports car moving at 20 m/s crosses the rounded top of a hill (radius of 100 m). determine a) the normal force on the car, b) the normal force on the 70 kg driver, and c) the car speed at which the normal force equals zero.
The normal force on car is 62167 N.
Given information:
mass of car m(car) = 1000kg
speed of car v = 20m/s
radius of path r = 100m
mass of driver m = 70kg
The weight of the car and driver
a) W = (m (car) + m) g
= 10496.7 N
The centripetal force of applied to the car and driver.
F(c) = ( Mcar + M) V²/R
The expression for the force balance along the normal direction is:
W = N - F(c) --------------------equation1
N = 62167 N
b) The weight of driver is:
N = W - mv²/r
= 406.7 N
c) From the equation 1, if normal force is zero.
v² = rg
By putting value in this equation
v = 31.32 m/s
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ben starts waling at 2 mi/h. after an hour and a half amanda begins jogging at 6 mi/h. how long until amanda catches ben
Amanda would need to catch up to Ben in 6/10 hours, or 0.6 hours.
What is distance?Use the distance equation d = st, which reads distance equals speed times time, to find the distance. Given that both rate and speed denote a specific amount of travel per unit of time, such as miles per hour or kilometers per hour, they are comparable. R = s = d/t indicates that rate r is equal to speed s.
At 7 miles per hour, Amanda starts jogging down the same path.
Thus, following t hours, Amanda's position is determined by:
A(t) = 7t
Ben begins moving at a 2mph pace along a path.
Ben will be at position 2×1.5 = 3 when Amanda departs in an hour and a half. Ben's position therefore after t hours is as follows:
B(t) = 3+2t
A(t) = B(t)
7t = 3+2t
5t = 3
t = 3/5
t = 0.6hrs
So, Amanda will catch up Ben after 0.6 hours.
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Complete question " Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?".
A car travel from A to town B 145km distance in 3hrs 45min. Find it's average speed (a) in km/hr (b) in m/s
Answer:
39 km/hr (rounded)
Explanation:
use the equation speed=distance/time
Answer:
Explanation:
3hrs 45mins = 3 3/4 hours or 15/4 hours
average speed = 145km/15/4 = 145 x 4/15 = 29 x 4/3 = 38.67 km/h
m/s = 5/18 km/h
38.67 x 5/18 = 10.74 m/s
you are the driver in the photo. your front zone is closed. what other related zone will you check at this moment, and what is the condition of that zone?
If the front zone in front of the driver is closed, the other zone which you will be able to check is the rear zone.
The closed zone refers to a space which is not open to view because of the restriction in the line of sight or intended path of travel.
A yellow or red traffic signal, a yield sign, or something moving into your intended route of movement are all indicators of a closed front zone. You must be ready to slow down or stop if you have seen a closed zone at a junction. Check your back zone as soon as you locate a closed zone. Start braking if it is already open. If the rear zone is closed, lightly press the brake pedal a few times to signal to the driver in back that you are stopping.
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For time, t, in hours, 0 ≤ t ≤1, a bug is crawling at a velocity, v, in m/h given by v=51+t. Use Δt=0.2 to estimate the distance that the bug crawls during this hour.a) Find an overestimate and an underestimate.b) Then average the two to get a new estimate.
The overestimate and underestimate are 10.36 m and 51 m/h.10.28 m is the new estimate.
a) To estimate the distance that the bug crawls during this hour, we can use the formula:
distance = velocity multiplied by time
Using t = 0.2, we can find an overestimate by using t = 0.8 and an underestimate by using t = 0.
Overestimate: velocity = 51 + 0.8 = 51.8 m/h, distance = 51.8 x 0.2 = 10.36 m.
Underestimate: distance = 51 x 0.2 = 10.2 m velocity = 51 + 0 = 51 m/h
b) To find a new estimate, we can average the overestimate and underestimate: (10.36 + 10.2) / 2 = 10.28 m is the new estimate.
We used the formula distance = velocity x time to estimate how far a bug crawls in an hour. The velocity of the bug is given by the equation v = 51 + t, where t is the time in hours. To calculate the distance, we need to know the value of t.
In this case, we have a time range of 0 t 1, and we have chosen a small time interval of t = 0.2 to estimate the distance. Using this time interval, we can calculate the distance at different points in time within the given range.
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A baseball bat strikes a baseball with a force of 35 n. the bat is in contact with the ball for 0.12 s.
what impulse did the bat exert on the baseball to change the ball's momentum?
The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
What is the impulse?Impulse is the sudden force or energy that causes an object to move in a particular direction. It is the product of a force applied over a certain period of time. Impulse is a vector quantity, meaning it has both magnitude and direction.
Forces such as gravity, friction, and pressure all create impulse. Impulse is also the integral of a force over a given period of time, which is the same as the change in momentum of an object. Impulse is an important concept in physics, as it can be used to describe the motion of objects and to calculate the velocity and acceleration of objects.
Using impulse-momentum theorem
[tex]\Delta p = F\Delta t[/tex]
p = 35 × 0.12
p = 4.2 Ns
Thus, The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
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A longitudinal wave ha a compreion to compreion ditance of 10 m it take the wave of 5 to pa a point what i the wavelength of the longitudinal wave
The longitudinal wave has a 2 m per second wavelength if it covers a distance of 10 m.
How can you determine a longitudinal wave's wavelength?By calculating the distance between two identical locations on adjacent waves, the wavelength is always found. When determining the wavelength of the a longitudinal wave, the distance from one compression to another or from one rarefaction to a next is measured.
What does wavelength mean?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places subsequent crests in the consecutive cycles. This length is typically defined in wireless systems in meters m, centimeters cm, or millimeters mm.
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The electric potential at a point that is halfway between two identical charged particles is 300 V. What is the potential at a point that is 25% of the way from one particle to the other?Ans: 400V
The electric potential at a point that is 25% of the way from one particle to the other is 400 V
What does "electric potential" mean?Electric potential is the effort required to transport a single charge from one point to another in the presence of an electric field. Earth is typically chosen as the reference point, but any location outside the range of a electric field charges may be used. potential electricity.
A position halfway among identical charged particles has an electric potential of 300 V.
Potential V= 300 V
Assume the distance between the charge is 2r.
The potential at mid point
Using formula of potential
V =K q / r
At mid point
V = V' + V"
V = K *q / r + K *q / r
2 Kq / r = 300
If a potential at a place is 25% of the distance between two particles
We must determine the separation between the charges.
d = 2r × 25 / 100
d = r / 2
We need to calculate the new potential
Using formula of potential again
V = V' + V"
V = K q / r/2 + K q / 3r/2
V = 2K q / r (1 + 1/3 )
On Putting the value of (2Kq / r)
V = 300 * (1 + 1/3 )
V = 400 V
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Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series.answer choicesTrueFalse
The statement "Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series" is True.
The formula Lt = L1 + L2 + L3 is the correct formula for finding the total inductance of a circuit when there is more than one inductor connected in series.
When inductors are connected in series, the total inductance of the circuit is the sum of the individual inductances of the inductors. This is because the magnetic field created by each inductor adds together and the effective inductance is the sum of the individual inductances.
This is based on the principle of additivity of inductances in series. The total inductance of a series circuit is equal to the sum of the individual inductances. The current flowing through each inductor is the same and the voltage across each inductor is proportional to its inductance.
It is important to note that this formula is only true for inductors connected in series. When inductors are connected in parallel, the total inductance is given by the formula:
1/Lt = 1/L1 + 1/L2 + 1/L3 + ...
Where L1, L2 and L3 are the inductances of the inductors.
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A tennis ball with a speed of 28 m/s is mov-
ing perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 19.516 m/s.
If the ball is in contact with the wall for
0.0101 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take “toward the wall” to be the positive
direction.
the Average acceleration of the ball is 4704.6 m/s² away from the wall.
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the ball, we use the formula below
Formula:
a = (v-u)/t................. Equation 1Where:
a = Accelerationv = Final velocityu = Initia; velocityt = TimeFrom the question,
Given:
v = -19.516 m/s (Rebounds)u = 28 m/st = 0.0101 sSubstitute these values into equation 1
a = (-19.516-28)/0.0101a = 4704.6 m/s² aways from the wallHence, the acceleration of the ball is 4704.6 m/s².
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write a similar description of the particles that make up gas .
Answer:
Explanation: There are particles 3 particles to make a gas
those are following :
1. Solids
2.liquids
3. gases
are made of tiny particles called atoms and molecules.
A car travels around a turn of radius 75 m on a road. it is snowing and icy outside. the coefficient of friction between tires and road is 0.60, what is the maximum speed the car can travel without slipping?
On a road, an automobile moves around a turn with a 75 m radius. The weather is freezing and snowy. the correlation Therefore, the car's top speed without slipping is roughly 6.8 m/s.
How politely would you say "approximately"?The most professional way to say "not precisely" is "roughly," although "about" is more frequently used in everyday English. An average coffee costs $3. What will the price be, more or less? He makes about $30,000 each year.
Calculation
To find the maximum speed the car can travel without slipping, you can use the formula:
v = sqrt(μ * g * r)
where v is the maximum velocity, μ is the coefficient of friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the turn.
Plugging in the given values, you get:
v = sqrt(0.60 * 9.8 m/s^2 * 75 m) = sqrt(45.9 m^2/s^2) = 6.8 m/s
So the maximum speed the car can travel without slipping is approximately 6.8 m/s.
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which statement describes the effect of increasing drop height upon the force encountered by the egg when colliding with the surface? (6 points) the force is not affected by the drop height the force is directly related to the drop height.
The idea that boosting the size would enhance the energy the egg would encounter upon impact with the surface defies logic. The little egg was unharmed when plopped onto 1 inch of foam.
What phrase best increasing growth?Increase has a range of often used synonyms, including expand, enlarge, and treble. All of the aforementioned verbs mean "to make by becoming greater," but "growing" in the passive voice denotes a steady increase in size, volume, or power. However, if used in the productive, it may also suggest a quick addition rather than a slow expansion. As he aged, his waistline expanded.
What is increasing in size?Numbers can be organized from lowest value to greatest value in ascending order. Left to right is the order. Another is bringing more order.
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A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.What is the magnitude of the average force on the wall if the duration of the collision is 0.19 s ?
Express your answer to two significant figures and include the appropriate units.
A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.
The magnitude of the average force on the wall is 2026 N to two significant figures.
What is average force?Average force is the average of all the forces applied over a period of time. It is calculated by dividing the total force by the number of forces applied. For example, if you applied 10 forces over 10 seconds, the average force would be the sum of those 10 forces divided by 10. The average force is a measure of the average net force on an object over a given period of time and can be used to measure the rate of acceleration of an object. Average force can also be used in kinematics to calculate the velocity of an object over time.
The magnitude of the average force on the wall can be calculated using the equation: Force = (mass x velocity) / time, which can be rearranged to calculate Force = (mass x velocity) x time.
In this case, the mass of the snowball is 140 g, the velocity is 8.5 m/s, and the time of the collision is 0.19 s. Plugging these values into the equation gives us an average force of 2026.3 Newtons.
Therefore, the magnitude of the average force on the wall is 2026 N to two significant figures.
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suppose your electric lights use 400 watts per hour and average four hours per day, every day for one year. how many kwh per year does this represent ? 400 watts
The bulb will use 584 kW per year.
An electronic bulb is a small and simple light source that uses a wire filament to glow when electricity is applied.
A light bulb consists of three key partsFiberGlass bulbBulb baseThe filament, which is a coiled thin wire, is made of tungsten.
The filament is enclosed in a ball-shaped glass socket and is connected by copper and lead wires attached to the base of the lamp.
The wires and filament are enclosed in a glass bulb that is filled with an inert gas such as argon.
Thin glass is used to make the bulb, which prevents air from reaching the filament and protects it from burning.
Conversion of watts to kilo-watts
1 Watts = 0.001 kW
400 Watts = 0.4 kW
Average working of the bulb = 4 hours
Total time taken by the bulb in a year
= 4 * 365
= 1460 hours
Total power consumed in the year = 584 kWh
The bulb represents 584 kwh per year.
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an object is thrown upward with a speed of 14 m/s on the surface of planet x where the acceleration due to gravity is 3.5 m/s2. what is the speed of the object after 8.0 s?
The velocity of the hammer after 8 sec will be 14 m/s in the downward direction which is represented by the negative symbol.
Calculation=
a=-3.5 m/s^2
so v= u +at
u =14 m/s
so v= 14-8*3.5
=-14 m/s
so its speed will be 14m/s downward
How fast are they?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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Time Dilation Ranking Task
Five identical quintuplets leave earth when they reach the age of 21, in the year 2121. Each quintuplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as measured on earth, except during the relatively short acceleration phases of their journey.
Part A
Rank these quintuplets on the basis of the year on earth when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Part B
Rank these quintuplets on the basis of their age when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Ranking these quintuplets on the basis of the year Part A: E > A > C > D > B.
Ranking these quintuplets on the basis of their age when they return from their journey Part B: E > A > C > D > B
What are quintuplets?A set of five infants called quintuplets is born all at once. A baby who is one of these sets is known as a quintuplet and occasionally goes by the nickname "quint."
Even though quintuplets and other higher-order multiple births, also known as super twins, are uncommon, there has been an increase in these pregnancies due to the increased use of fertility medications and assisted reproductive technologies.
Using on the time dilation formula we can rank the quintuplets. if [tex]$T^{\prime}$[/tex] is the time measured by Earth and [tex]$T$[/tex] is the time measured on space ship, then
[tex]$ T^{\prime}=\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} $Here, $v$ is the speed of the journey by the earth and $c$ is the speed of the light.Part A:$A: T=20$ years, $v=0.4 c$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =21.82 \text { years }\end{aligned}$$[/tex][tex]$$B: $T=5$ years,$v=0.2 c$$$\begin{aligned}T_B^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{5 \text { years }}{\sqrt{1-\frac{(0.2 c)^2}{c^2}}} \\& =5.10 \text { years }\end{aligned}$$$C: T=10$ years, $v=0.8 c$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =16.67 \text { years }\end{aligned}$$[/tex]
[tex]$\mathrm{D}: T=10$ years, $v=0.4 \mathrm{c}$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =10.91 \text { years }\end{aligned}$$$\mathrm{E}: T=20$ years, $v=0.8 \mathrm{c}$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =33.33 \text { years }\end{aligned}$$Hence, the rank from largest to smallest is$$E > A > C > D > B[/tex]
Part B: A 11 the five quintuplets have same age when they leave the earth. Hence, the order from largest to smallest on the basis of their age is al so same as the part A.
E > A > C > D > B
Thus, PART A: 20 yrs ,0.8 c then 20yrs, 0.4c then 10yrs, 0.8c then 10 yrs, 0.4c then 5yrs, 0.2c.
PART B: 20yrs=20yrs, 10yrs=10yrs, 5yrs
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Aume that two pherical tar of ma and form a binary tar ytem by
circling around their common center of ma. The ditance between the center of the tar i. A) What i the period of rotation for thi ytem?
b) What i the peed of tar A with repect to the common center of ma?
c) What would be the magnitude of the gravitational force a mall ma m feel if it i placed at the common center of ma of the tar?
Two spherical stars of mass mA and mB form a binary star system by circling around their common center of mass.
What is the perfect definition of mass?mass. [ măs ] A measure of the amount of matter contained in or constituting a physical body. In classical mechanics, the mass of an object is related to the force required to accelerate it and hence is related to its inertia, and is essential to Newton's laws of motion.
What is mass and volume?A Volume is the amount of space a three-dimensional object occupies and it is measured in cubic units. Two examples of cubic units are cm3 or in3. Mass on the other hand is a measure of how much matter is in an object.
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