The focal length of the mirror is 4.0 cm.
We can use the mirror equation, which relates the object distance (d_o), image distance (d_i), and focal length (f) of a spherical mirror:
1/f = 1/d_o + 1/d_i
Since the image is virtual, d_i is negative. We can also use the magnification equation, which relates the height of the image (h_i) and the height of the object (h_o):
h_i/h_o = -d_i/d_o
Substituting h_o = 2.00 cm, h_i = 5.0 cm, and d_i = -3.0 cm, we can solve for d_o:
5.0/2.00 = -(-3.0/d_o)
d_o = -6.00 cm
Now we can use the mirror equation to solve for the focal length f:
1/f = 1/d_o + 1/d_i = 1/(-6.00 cm) + 1/(-3.0 cm) = -0.25 cm^(-1)
f = -4.0 cm
The negative sign indicates that the mirror is concave, which is consistent with the problem statement.
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an 91-g arrow is fired from a bow whose string exerts an average force of 115 n on the arrow over a distance of 74 cm .
According to given question the speed of the arrow as it leaves the bow is 41.32m/sec.
What does force, in brief, mean?The definition of force in physics is: This push or draw on a massed object changes its velocity. An unseen factor is an agency that has the power to alter the resting or movement condition of a body. It has both a trajectory and a size.
What are examples of force?There are several instances of energies in daily life, including: heft and drive (i.e. the weight of something) is force a swing applies to a ball. the pressure that a hair applies to hairs when stroking it. the pressure your foot applies to the pedal whenever you're riding your bike.
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A material that conducts electricity is called a... what?
Answer:
Materials which do conduct electricity, like copper, are called conductors. In the middle are materials known as semiconductors, which don't conduct as well as conductors, but can carry current.
I hope it helped you...
the partial pressures of gases in cells of systemic tissues result from
The partial pressures of gases in cells of systemic tissues result from the process of gas exchange and cellular respiration.
The partial pressures of gases in cells of systemic tissues result from the process of gas exchange and cellular respiration.
During cellular respiration, cells metabolize glucose and produce carbon dioxide (CO2) as a waste product. At the same time, oxygen (O2) is required for cellular respiration to occur.
The partial pressure of a gas refers to the pressure exerted by that gas in a mixture. In systemic tissues, oxygen diffuses from the bloodstream into the cells, where it is consumed in cellular respiration. As a result, the partial pressure of oxygen decreases in the cells.
Conversely, carbon dioxide produced by cellular respiration diffuses out of the cells into the bloodstream, leading to an increase in the partial pressure of carbon dioxide in the cells.
The partial pressures of gases in cells of systemic tissues are determined by the balance between gas diffusion and the metabolic activities of the cells. This allows for efficient gas exchange and the supply of oxygen for cellular respiration while removing carbon dioxide waste from the cells.
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Who would like to Join A Bible Club
Here's the link For You to Sign Up If Interested
Requirements:
Be older than 10 and younger than 20
https://forms.gle/kjbkMRV9u1fLJnGu8
This is for You and For God !!!
“For the wages of sin is death, but the gift of God is eternal life in Christ Jesus our Lord” Romans 3:23
Answer:
alright
Explanation:
that's so cool I'll join
an object experiences buoyant force of 15.9 n when immersed in a fluid of density 917 kg/m^3. what is the volume of the object?
Answer:
0.00176
Explanation:
Credit to the person above.
(11%)+problem+5:+suppose+a+conducting+rod+is+45.5+cm+long+and+slides+on+a+pair+of+rails+at+3.25+m/s.
Given a conducting rod that is 45.5 cm long and sliding on a pair of rails at a velocity of 3.25 m/s, we need to determine the magnitude and direction of the induced voltage when it passes through a magnetic field of 0.85 T.
To calculate the induced voltage, we can use Faraday's law of electromagnetic induction, which states that the induced voltage is equal to the rate of change of magnetic flux through the circuit. The formula for induced voltage is given by:
V = B * L * v
Where:
V is the induced voltage,
B is the magnetic field strength,
L is the length of the conducting rod perpendicular to the magnetic field, and
v is the velocity of the conducting rod.
In this case, the length of the rod perpendicular to the magnetic field is the same as the length of the rod itself, so L = 45.5 cm = 0.455 m. The magnetic field strength is given as 0.85 T, and the velocity is 3.25 m/s. Substituting these values into the formula, we have:
V = 0.85 T * 0.455 m * 3.25 m/s
V = 1.1368 V
Therefore, the magnitude of the induced voltage is approximately 1.1368 volts. The direction of the induced voltage can be determined using the right-hand rule, which states that if you point your right thumb in the direction of the velocity vector (from the rod's starting point to its endpoint), and your fingers in the direction of the magnetic field, then the direction in which your palm faces represents the direction of the induced voltage.
In conclusion, the magnitude of the induced voltage is 1.1368 volts, and the direction can be determined using the right-hand rule.
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HELP PLS 100 POINTS TAKING TEST RN
WHEN you look at the speedometer in a moving car, you can see the car's.
A.instantaneous speed.
B.average speed.
C.instantaneous acceleration.
D.average acceleration.
E.average distance traveled.?
Answer:
I think he answer is C but I could be wrong
Explanation:
brainliest plz
Answer:
d mark brainlyest
Explanation:
It takes 5000 J of work to lift a crate to a height of 5 m in 10 s of time.. Calculate the power.
Answer:
P = 500 W
Explanation:
Given that,
Work done to lift a crate to a height of 5 m is 5000 J
It takes 10 s
We need to find the power of the crate. We know that power is the rate of doing work. Mathematically, it can be given by :
\(P=\dfrac{W}{t}\\\\P=\dfrac{5000}{10}\\\\P=500\ W\)
So, the power of the crate is equal to 500 W.
in a mechanical wave, the restoring force is the force that actually causes the oscillation.
In a mechanical wave, the restoring force is indeed the force that causes the oscillation.
In a mechanical wave, such as a wave traveling through a spring or a water wave, the restoring force is the force responsible for bringing the wave back to its equilibrium position after it has been disturbed. When a wave is generated, it causes particles or elements of the medium to deviate from their original positions. The restoring force acts in the opposite direction of this displacement, pulling or pushing the particles back towards their equilibrium positions.
The restoring force is typically associated with a property of the medium, such as elasticity or tension. For example, in a spring, the restoring force is provided by the elasticity of the spring material. When the spring is stretched or compressed, the elastic force tries to restore it to its original length. Similarly, in water waves, the restoring force is due to the tension in the water surface caused by gravity.
The magnitude of the restoring force determines the amplitude and frequency of the wave. A stronger restoring force results in larger oscillations, while a weaker restoring force leads to smaller oscillations. Understanding the role of the restoring force is crucial in analyzing and predicting the behavior of mechanical waves.
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how far away should a cliff be form a source of sound to give an echo in 5.3 seconds (given speed of sound at 331m/s
Answer:
1754.3 m
Explanation:
331*5.3=1754.3
A conducting rod is moving perpendicularly through a uniform magnetic field. Why does the motional emf drop to zero when the conductor stops moving in the field?.
The electric charge on the rod is no longer separated.
If the magnetic field is parallel to the position of the exposed surface the magnetic flux produced will be zero if the magnetic field is non-zero. If a charged particle moving parallel to the magnetic field has a velocity parallel to the magnetic field, then the force is zero In the above case the velocity is parallel to the magnetic field lines, so the magnetic force is zero.
Induced currents can be created by changing the strength of the magnetic field changing the size of the wire loop, or changing the direction of the wire loop. The main difference between magnetic flux and flux density is that magnetic flux is a scalar quantity whereas flux density is a vector quantity. Flux is the scalar product of flux density and area vector.
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When ___ attacks the surface of a metal, it becomes tarnished.
Answer:corrosion (i believe)
Explanation:
Answer
Mix baking soda and salt with hot water and cover everything with it. The proportions are not crucial, but about 1 tablespoon of salt and 1 tablespoon of baking soda to 3 dl water should do the trick. Lightly tarnished objects should clean up in a few minutes, and you just rinse them of and dry them.
Explanation:
Question 38 Marks: 1 Microwaves are reflected byChoose one answer. a. metals b. plastic c. glass d. human tissues
Microwaves, which are a type of electromagnetic radiation, are reflected by surfaces that are metallic or have high electrical conductivity, such as metals, aluminum foil, and certain types of plastics. These surfaces can cause the microwaves to bounce back instead of being absorbed, leading to uneven heating and potential damage to the microwave.
These materials can include aluminum foil, metal mesh, and certain metallic coatings. When microwaves encounter these surfaces, their energy is unable to pass through and is instead reflected back, often causing an even distribution of energy in the microwave oven.
It is important to always use microwave-safe dishes and avoid placing any metal objects inside the microwave.
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PLEASE HELP!! Points will be given for suitable answer! Thank you!
Answer:
its lost 91
Explanation:
If the Sun had four times its present mass, what would be the Earth's new period of revolution around the sun, compared to its present orbital period? A ) the same B ) two times as much C ) four times as much D ) one-half as much E ) one-fourth as much
The Earth's new period of revolution around the Sun would remain the same (option A) compared to its present orbital period.
According to Kepler's Third Law of Planetary Motion, the square of a planet's orbital period (T) is proportional to the cube of its average distance from the sun (r). Mathematically, it can be expressed as:
T^2 ∝ r^3
In this case, we are considering the scenario where the Sun has four times its present mass. However, the mass of the Sun does not affect the orbital period of the Earth directly. The Earth's orbital period is primarily determined by its distance from the Sun and the Sun's mass does not change this distance significantly.
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suppose you start at the origin, move along the x-axis 3 units. then face downwards and move forward 4 units. then turn right and move 7 units. then (relative to your current position) face downwards and move forward 3 units. what are the coordinates of your position
The final coordination is (3,-7,-4).
Coordinates are written as (x, y) which means the factor at the x-axis is written first, observed by the point at the y-axis. a few youngsters may be taught to consider this with the phrase 'along the corridor, up the stairs, which means that they need to follow the x-axis first after which the y.every factor may be identified by means of an ordered pair of numbers; this is, more than a few at the x-axis called an x-coordinate, and a range of at the y-axis called a y-coordinate.
The point at which the 2 axes intersect is called the origin – the coordinates of this point are (0, zero). Coordinates are written as (x, y) which means the point on the x-axis is written first, followed by the point on the y-axis.
According to question;-
Initially you are at: (0, 0, 0)
you move 3 units along the positive x-axis: (3, 0, 0)
you move 5 units in the negative z-axis: (3, 0, -4)
this is the final position (3,-7,-4)
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which measurements are necessary for determining both the speed and velocity of a moving object?
Measurement of the distance traveled and the amount of time required to cover that distance are required in order to determine speed.
Which units are used to measure velocity and speed?The units used to measure speed and velocity are the same. The meter is the SI unit for measuring both distance and displacement. The second is the second as defined by the International System of Units. Two meters per second divided by two is the SI unit of velocity and speed.Measurement of the distance traveled and the amount of time required to cover that distance are required in order to determine speed.In contrast to velocity, which is a vector and is defined by both magnitude and direction, speed is a scalar and is only described by its magnitude. These two numbers are measured in meters per second (m/s), using the International System of Units,No.To learn more about speed refer to:
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A uniform cylinder of radius R
, mass M
, and rotational inertia I0
is initially at rest. The cylinder is mounted so that it is free to rotate with negligible friction about an axle that is oriented through the center of the cylinder and perpendicular to the page. A light string is wrapped around the cylinder. At time t=0
, the string is pulled with a constant force F0
, which causes the cylinder to rotate, as shown in the figure. After time t=t0
, the string is completely unwound from the cylinder and loses contact with it. If necessary, how can a student determine the change in angular momentum ΔL
of the cylinder from t=0
to t=t0
?
The formula L = Ft0R states that the change in angular momentum of the cylinder from time t=0 to time t=t0 is directly proportional to the force exerted on the string and the length of time over which it is applied.
What is the angular conversion formula?The pace at which an angle changes in a situation where a rotation occurs in time t is known as the angular velocity. Radians per second (rad/s) are the units used to measure angular velocity.
The student can use the following equation to calculate the cylinder's change in angular momentum from t=0 to t=t0:
ΔL = Lf - Li
The equation: can be used to determine the cylinder's ultimate angular momentum, Lf.
Lf = Iωf
A uniform cylinder's rotational inertia about an axis that passes through its centre of mass and is parallel to its axis of symmetry is given by:
I = 1/2 MR²
Substituting this expression for I and ωf into the equation for Lf, we get:
Lf = (1/2)MR²ωf
Therefore, the change in angular momentum ΔL of the cylinder from t=0 to t=t0 is:
ΔL = (1/2)MR²ωf - 0
ΔL = (1/2)MR²ωf
The student can use the rotational motion equation to calculate the cylinder's ultimate angular velocity, f:
τ = Iα
The angular acceleration α is related to the angular velocity ω by the equation:
α = (ωf - ωi)/t0
where t0 is the period of time during which the force is applied, and i is the starting angular velocity, which is zero.
When we enter these expressions into the torque equation, we obtain:
Fr = (1/2)MR²(ωf - ωi)/t0
Solving for ωf, we get:
ωf = (2Ft0)/(MR)
When we add this expression for f to the equation for L, we obtain:
ΔL = (1/2)MR²(2Ft0)/(MR)
ΔL = Ft0R
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Given the information you have learned in class and the material in your lab manual, answer the following question: Which of these investigations could NOT be addressed using gel electophoresis? Checking for genomic DNA contamination and purity of samples Examining the expression of genes in different individuals. Determining the DNA fingerprint of the suspect of a crime. Determining the paternity of a child.
There is no investigation among the given options that cannot be addressed using gel electrophoresis.
Gel electrophoresis is a common laboratory technique used to separate and analyze DNA, RNA, and proteins based on their size, charge, and other properties. It is widely used in various fields of research, including forensic science, genetics, and biotechnology. Gel electrophoresis can be used to detect DNA contamination, analyze gene expression, determine DNA fingerprinting, and establish paternity testing. Therefore, all the investigations listed, including checking for genomic DNA contamination and purity of samples, examining gene expression, determining DNA fingerprint, and paternity testing can be addressed using gel electrophoresis.
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Look at the velocity versus time graph below. What is the magnitude of the
displacement of the object after it travels for seven seconds?
Velocity (m/s)
Time (s)
OA. 28 m
B. 26 m
OC. 30 m
OD. 24 m
The magnitude of the displacement of the object after it travelled for seven seconds is 28 m (Option A).
What is displacement?The displacement of an object is the change in the position of the object.
Velocity = displacement / time
How to determine the displacement from the velocity - time graph;
From the question given above, the following data were obtained:
Time = 7 s
Velocity = 4 m/s
Displacement =?
Velocity = displacement / time
4 = displacement / 7
Cross multiply
Displacement = 4 × 7
Displacement = 28 m
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dynamite is placed inside a rock. the explosion blasts the rock into 2 pieces which have masses of and . right after the explosion, the pieces move in opposite directions. the total kinetic energy of the 2 pieces is 324 . the speed of the piece is .
The speed of the larger piece is approximately 12 m/s.
We can use conservation of momentum and conservation of energy to solve the problem. Since the rock is initially at rest, the total momentum of the system is zero.
After the explosion, the momentum of one piece is equal in magnitude but opposite in direction to the momentum of the other piece, so the total momentum of the system is still zero.
Therefore, the two pieces must have equal and opposite momenta. Let the momentum of each piece be p.
By conservation of energy, the total kinetic energy of the two pieces is equal to the initial potential energy stored in the dynamite. Let this be E.
So, we have:
p = -p (since the momenta are equal and opposite)
2p = 2m1v1 = 2m2v2
v1 = (m2/m1) v2
E = 1/2 m1 + 1/2 m2 \(v2^2\)
Substituting v1 in terms of v2, we get:
E = 1/2 \((m2/m1)^2\) m1 \(v2^2\) + 1/2 m2 \(v2^2\)
324 = 1/2 \((m2/m1)^2\) m1\(v2^2\) + 1/2 m2 \(v2^2\)
Solving for v2, we get:
v2 = \(\sqrt{2E/(m1 + m2)}\) = \(\sqrt{2(324)/(0.8 + 1.2)}\) = 12 m/s
Therefore, the speed of each piece is 12 m/s.
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The chemical combination of atom a and atom b would result in
Answer:
A molecule
Explanation:
In one type of solar energy system, sunlight heats the air within solar panels, and these heat copper tubes filled with water. Which type of energy is produced by this system?.
The type of energy produced by this system is thermal energy. Sunlight is used to heat the air within the solar panels, which in turn heats the copper tubes filled with water. The heated water can then be used for various purposes, such as heating homes or generating electricity through steam turbines.
This process of using sunlight to generate heat is known as solar thermal energy, which is a renewable and sustainable source of energy. Solar thermal systems can be used in a variety of applications, from residential heating to industrial processes. Overall, solar thermal energy is an efficient and eco-friendly alternative to traditional fossil fuels.
In the type of solar energy system you described, sunlight heats the air within solar panels, which then heat copper tubes filled with water. The type of energy produced by this system is thermal energy. Thermal energy is the energy that comes from heat and is generated when the sun's rays are absorbed by the solar panels. The heated air transfers this thermal energy to the copper tubes containing water, subsequently heating the water. In summary, this solar energy system converts sunlight into thermal energy through a process involving solar panels, heated air, and copper tubes filled with water.
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A cue ball of mass 0.11 kg is moving to the right at a speed of 6 m/s and collides with a 7 ball of mass 0.1 kg, initially at rest. If the 7 ball moves to the right with a speed of 3 m/s after the collision, how fast is the cue ball moving after the collision
A cue ball of mass 0.11 kg is moving to the right at a speed of 6 m/s and collides with a 7 ball of mass 0.1 kg, initially at rest. If the 7 ball moves to the right with a speed of 3 m/s after the collision, after the collision, the cue ball is moving to the right with a speed of approximately 3.27 m/s.
We can use the principle of conservation of momentum. The total momentum before the collision must equal the total momentum after the collision.
Step 1: Calculate the initial momentum of both balls before the collision.
Initial momentum of cue ball = mass x initial speed = 0.11 kg x 6 m/s = 0.66 kg m/s
Initial momentum of 7 ball = mass x initial speed = 0.1 kg x 0 m/s = 0 kg m/s
Total initial momentum = 0.66 kg m/s
Step 2: Calculate the final momentum of the 7 ball after the collision.
Final momentum of 7 ball = mass x final speed = 0.1 kg x 3 m/s = 0.3 kg m/s
Step 3: Determine the final momentum of the cue ball after the collision.
Since the total initial momentum must equal the total final momentum, the final momentum of the cue ball = total initial momentum - final momentum of 7 ball = 0.66 kg m/s - 0.3 kg m/s = 0.36 kg m/s
Step 4: Calculate the final speed of the cue ball after the collision.
Final speed of cue ball = final momentum / mass = 0.36 kg m/s / 0.11 kg ≈ 3.27 m/s
So, after the collision, the cue ball is moving to the right with a speed of approximately 3.27 m/s.
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A specified volume of space contains an electric field for which the magnitude is given by E=E0cos(ωt). Suppose that E0 = 20 V/m and ω = 1.0 × 107 s−1. What is the maximum displacement current through a 0.40 m2 cross-sectional area of this volume?
Answer: \(0.708\ mA\)
Explanation:
Given
\(E_o=20\ V/m\)
\(\omega =10^7\ s^{-1}\)
Cross-sectional area \(A=0.40\ m^2\)
Current density is given by
\(J=\epsilon_o \dfrac{dE}{dt}\)
Displacement current
\(\Rightarrow I=JA\\\Rightarrow I=8.854\times 10^{-12}\times 20\times 10^7\times 0.4\\\Rightarrow I=0.708\times 10^{-3}\ A\)
The required value of the maximum displacement current of the given space is \(7.08 \times 10^{-4} \;\rm A\).
Given data:
The intensity of electric field is, \(E_{0}=20 \;\rm V/m\).
The angular frequency of electric field is, \(\omega=1.0 \times 10^{7} \;\rm s^{-1}\).
The cross-sectional area of space is, \(A =0.40 \;\rm m^{2}\).
In the given problem, the instantaneous electric field is given by \(E = E_{0} \times cos(\omega t)\)
So, the expression for the current density is,
\(J= \epsilon_{0} \times \dfrac{dE}{dt}\)
Here, \(\epsilon_{0}\) is the permittivity of free space. Solving as,
\(J= \epsilon_{0} \times \dfrac{d(E_{0} \times cos(\omega t))}{dt}\\\\J= -\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)\)
And the expression for the maximum displacement current is,
\(I = J \times A\)
And the maximum displacement current is possible only when, J is positive and J will be positive for \(sin(\omega t)=-1\).
Then solving as,
\(I = (-\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)) \times A\\\\I = (-8.85 \times 10^{-12} \times 20 \times (1.0 \times 10^{7}) \times (-1)) \times 0.40\\\\I = 7.08 \times 10^{-4} \;\rm A\)
Thus, we can conclude that the required value of the maximum displacement current of the given space is \(7.08 \times 10^{-4} \;\rm A\).
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1. A train is traveling on a straight section of track at constant speed. In 60
seconds it covers a distance of 1800 meters. What is the speed of the
train?
Answer:
30 mph
Explanation:
1800 divided by 60
When an object travels at a constant speed with zero acceleration it is known as uniform rectilinear motion. Then its velocity is given by:
v = d / t
Where d is distance and t is time. Evaluating:
v = 1800 m / 60 s
v = 30 m/sAir pressure is due to the:________
a. weight of overlying air.
b. force of the wind.
c. weight of water vapor in the air.
d. speed of the wind.
The weight of the air above us causes air pressure. The right answer is (a).
Atmospheric air pressure is the weight of the surrounding atmosphere. A barometer is a tool used to gauge atmospheric pressure. One of the earliest types of traditional barometers is the mercury barometer. The standard unit of measurement for atmospheric pressure in public weather reporting is inches of mercury. At sea level, the average pressure is over 30 inches of mercury (about 76 cm of mercury). Winds are produced as air masses move from locations of higher pressure to areas of lower pressure. As a result, air pressure results from the weight of the air above it. Consequently, the appropriate choice is (a)
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How do animal behaviors affect the probability of reproductive success?
Answer:
Clarification Statement: Examples of behaviors that affect the probability of animal reproduction could include nest building to protect young from cold, herding of animals to protect young from predators, and vocalization of animals and colorful plumage to attract mates for breeding.
Explanation:Animals have adapted a variety of courtship and mating behaviors to increase the probability of finding a mate. For example, the males of many bird species gyrate their feathers or perform special dances to attract a female.
Answer:
Examples of behaviors that affect the probability of animal reproduction could include nest building to protect young from cold, herding of animals to protect young from predators, and vocalization of animals and colorful plumage to attract mates for breeding.
Explanation:
Please help!!
Scientists have changed the model of the atom as they have gathered new evidence. One of the atomic models is shown below.
What experimental evidence led to the development of this atomic model from the one before it?
A. A few of the positive particles aimed at a gold foil seemed to bounce back off of the thin metallic foil.
B. Experiments with water vapor showed that elements combined in specific proportions.
C. Equations were used to identify regions around the nucleus where electrons would likely be.
D. Cathode rays were bent in the same way whenever a magnet was brought near them.
Answer: C. Equations were used to identify regions around the nucleus where electrons would likely be.
7. Can the speed of a particle be negative? Can the
velocity of a particle be negative? Give arguments to
support your answers.
Answer:
Suppose at time t1 = zero and v1 = 50 MPH
time t2 = 10 sec and v2 = 10 MPH
Change in speed = (v2 - v1) / (t2 - t1) = (10 - 50) MPH / (10 - 0) sec
Change in speed = -40 MPH / 10 sec = - 4 MPH / sec
If you specify the velocity as always East then
change in velocity = - 4 MPH East
Had the particle finished by moving in the Westerly direction then
Change in velocity = (-10 - 50) MPH / 10 sec = -60 / 10 MPH = -60 MPH East
Where West was the positive direction
Initially v1 was 50 East and v2 was -10 East with a difference of 60 MPH