Answer:
There are a few ways that traffic lights can sense the presence of a car. One way is by using inductive loops that are installed on the road. These loops detect changes in the magnetic field caused by a car passing over them. Another way is by using infrared sensors that detect the heat signature of a car.
Explanation:
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A monkey (mass m) is swinging on a vine of length L while carrying a bunch of bananas (a large bunch, mass m/2). His swinging motion has period T and reaches maximum height during the swing h (measured from the bottom of his arc of motion). He accidentally lets go of his bananas when he is at a height of h/2. What happens to the amplitude and period of his oscillation as a result? Explain.
Answer:
Explanation:
The period of oscillation will remain unchanged because the period of oscillation of a pendulum does not depend upon the mass of the bob . Here monkey along with bunch of banana represents bob .
When the monkey and banana were at height h /2 , they have potential energy as well as kinetic energy . banana is separated from the system . It carried its total energy along with it . But the energy of monkey remained intact with it . So it will keep on moving as usual . So it will attain the same maximum height as before .
Hence the amplitude of oscillation too will remain unchanged .
A 0.009 kg bullet fired through a door enters at 803 m/s and leaves at 617 m/s. If the door material is known to exert an average resistive force of 5620 N on bullets of this type at usual speeds, find the thickness of the door.
Answer:
The thickness of the door is 0.4230 m
Explanation:
Given;
mass of bullet, m = 0.009 kg
initial velocity of the bullet, u = 803 m/s
final velocity of the bullet, v = 617 m/s
average resistive force of the door on the bullet, F = 5620 N
Apply Newton's second law of motion;
Force exerted by the door on the bullet = Force of the moving bullet
F = ma
where;
F is applied force
m is mass
a is acceleration
Also, Force exerted by the door on the bullet = Force of the moving bullet
\(F =ma, \ But \ a =\frac{dv}{dt} = \frac{u-v}{t} \\\\F = \frac{m(u-v)}{t}\)
where;
v is the final velocity of the bullet
u is initial velocity of the bullet
t is time
We need to calculate the time spent by the bullet before it passes through the door.
\(t = \frac{m(u-v)}{F} \\\\t = \frac{0.009(803-617)}{5620} = 0.0002979 \ s\)
Distance traveled by the bullet within this time period = thickness of the door
This distance is equivalent to the product of average velocity and time
\(S = (\frac{u+v}{2}) t\)
where;
s is the distance traveled
\(S = (\frac{u+v}{2}) t\\\\S = (\frac{803+617}{2}) 0.0002979\\\\S = 0.4230 \ m\)
Therefore, the thickness of the door is 0.4230 m
A stone whirled at the end of a rope 30cm long makes 5revs. Find the linear speed?
The stone moves at a linear speed of 9.42 m/s.
How is linear velocity determined?Where v stands for speed, d for distance, and t for time, the equation for linear velocity is v = d/t. The SI unit for linear velocity is the metre per second, abbreviated as m/s (ms-1).
The circumference of the circle the stone traces and the distance the stone travels in one revolution are equal.
C = 2πr
where r is the rope's length. If we substitute r = 30 cm, we obtain:
C = 2π(30 cm) ≈ 188.5 cm
As a result, one revolution of the stone moves it approximately 188.5 cm.
The stone moves a total of five times, covering the following distance:
d = 5(188.5 cm) = 942.5 cm
v = d/t
Let's say the stone makes 5 revolutions in t seconds. The linear speed is then:
v = d/t = 942.5 cm/t
To obtain the answer in milliseconds, we can convert the quantities to metres and seconds:
v = 9.425 m/t
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creating a system to effectively solve problems can help you out in many ways. what are some benefits you would like to see in your own life as you begin to apply the 4 step problem solving process you read about this week
Creating a system to effectively solve problems is important as it helps an individual or organization to accomplish the goals and objectives.
The 4 step problem solving process is an important approach for effective problem-solving.The 4 step problem solving process involves the following steps:Identifying the problemGathering information and analyzing the problemIdentifying possible solutionsEvaluating and selecting the best solution to the problem.Some of the benefits that one would like to see in their own life as they begin to apply the 4 step problem solving process are as follows:1. Better decision-making skills: The 4 step problem solving process helps individuals to make better decisions in their personal and professional lives. The process helps an individual to evaluate all possible solutions before choosing the best solution to the problem.2. Effective time management: The 4 step problem solving process helps an individual to solve problems quickly and efficiently, leading to effective time management. It helps an individual to focus on the important aspects of the problem and make quick decisions.3. Improved communication: The 4 step problem solving process involves gathering information, analyzing the problem, and identifying solutions. It also involves communicating with others to get more information or to help evaluate solutions.
Effective communication skills are important in this process, and this can be improved through practicing the 4 step problem solving process.4. Improved problem-solving skills: The 4 step problem solving process helps individuals to develop better problem-solving skills, which is important in both personal and professional life. It helps an individual to think critically and creatively to identify the best possible solutions to a problem. This skill can be useful in various situations, including work, school, and personal relationships.
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2. Which of the following is NOT true of work?
(A) It is the scalar product of force and displacement.
(B) It is measured in joules.
(C) It has the same units as energy.
(D) It is a vector which is always in the same direction as the displacement.
(E) It takes energy to perform work
Answer:
D
Explanation:
Work is not a vector but it is a scalar
Answer:
D
Explanation:
D. its is a vector which is always in the same direction as the displacement
the following questions refer to the below molecules: (a) co2 (b) h2o (c) ch4 (d) c2h4 (e) ph3 question the molecule with the largest dipole moment
The CH4 molecule will have the biggest dipole moment. The symmetric of the molecules is established using the dipole moment.
A dipole moment is defined.
The size of the charge Q at each end of something like the molecules dipole times the space r seen between charges gives rise to the dipole moment (), which is a measure representing net molecular polarity. We can learn about a molecule's charge separation from its dipole moments.
What is the water dipole moment?
Its anisotropy has been calculated experimentally to be 1.855 D for a shallow groundwater monomers (1) An individual water molecule's dipole moment is known to be greatly increased in water clustered and cell contents due to polarization and molecular orbitals effects.
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The molecule with the largest dipole moment (a) co2 (b) h2o (c) ch4 (d) c2h4 (e) ph3
A rollercoaster cart starts from rest at the top of a 100m
high hill. It moves around a frictionless track before entering a vertical, circular loop at ground level. What is the maximum radius that the loop can have if the cart is to clear the top of the loop without slipping?
The cart starts from rest at the top of a 100 m high hill.
The track is frictionless, so all initial gravitational potential energy will convert to kinetic energy.
The gravitational potential energy at the top is: PE = mgh
PE = (mass of cart) x (gravitational field strength) x (height)
= mc x g x 100
= mc x 10 x 100 = mc x 1000 Joules (assuming g = 10 m/s^2)
All this potential energy converts to kinetic energy at the bottom:
KE = 1/2mv^2
KE = PE
1/2mv^2 = mc x 1000
v = sqrt(2 x 1000/m) = sqrt(2000/m)
For the cart to clear the top of the circular loop of radius r, its velocity must be:
v >= 2πr/T
where T is the time period of one revolution.
Equating the velocity equations from step 4 and 5:
sqrt(2000/m) >= 2πr/T
Solving for the maximum radius r:
r <= (m/2000) x (T x sqrt(2000/m))^2
= (m/2000) x (T x sqrt(2000))
= mT^2/2000
So the maximum radius of the loop that the cart can clear without slipping is directly proportional to the mass of the cart and the square of the time period of one revolution.
ceres orbits the sun every 1680 days. calculate how many seconds it takes for ceres to complete one orbit.
Answer:
Ceres takes 1,682 Earth days, or 4.6 Earth years, to make one trip around the sun. As Ceres orbits the sun, it completes one rotation every 9 hours, making its day length one of the shortest in the solar system.
4. Compare energy transformation in fossil fuel
combustion and fuel cells.
a) How are these processes similar?
b) How do they differ?
When compared to combustion engines, fuel cells emit either no emissions or very little.
What happens to energy when it is transformed in fossil fuels?
The process of converting energy starts with chemical energy that is held in the fuels, moves through heat energy during combustion, kinetic energy during the rotation of massive turbines, and ends with electrical energy. The environmental impact of using fossil fuels is a problem.
Compared to combustion engines, fuel cells run more efficiently and are capable of directly converting the chemical energy in fuel into electrical energy at efficiencies of more than 60%. The combustion process needs oxygen. Hydrocarbons, which make up the majority of fossil fuels, undergo combustion to produce carbon dioxide and water. The cleanest burning fossil fuel we are aware of is natural gas.
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A 12V battery with 0.3 ohm internal resistance is connected to a 24V voltage source charging it.What is the power delivered by the voltage source?
-2880 Watts
Explanation
Step 1
Let
\(\begin{gathered} V=24V \\ Internal\text{ resistance of battery=}0.3\Omega \\ \end{gathered}\)
Now, we need aplly the formula
\(I(current\text{ in circuit)=}\frac{e.m.f}{\text{total resistance}}=\frac{24\text{v}}{0.3\Omega}=80\text{ Ampers}\)Step 2
now, we need to find the powe delivered, to do that, let's use this formula:
The power delivered by the voltage source is: PV = – I * V =
\(\begin{gathered} P=-I\cdot V \\ P=-80\text{ A}\cdot(36)V \\ P=-2880\text{W} \end{gathered}\)hence the answer is -2880 Watt
I hope this helps you
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An artillery shell is fired at a target 200 m above the ground. When the shell is 100 m in the air, it has a speed of 100 m/s. What is its speed when it hits its target?
The speed of the artillery shell when it hits its target is 100 m/s.
Given:
Initial vertical displacement (y) = 200 m
Vertical displacement at 100 m in the air (y') = 100 m
Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)
Using the equation for vertical displacement in projectile motion:
y' = vy^2 / (2g),
where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).
100 m = vy^2 / (2 * 9.8 m/s^2),
vy^2 = 100 m * 2 * 9.8 m/s^2,
vy^2 = 1960 m^2/s^2,
vy = sqrt(1960) m/s,
vy ≈ 44.27 m/s.
Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.
Hence, the speed of the artillery shell when it hits its target is 100 m/s.
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4x The law of conservation of matter states that during a chemical reaction, the amount of matter
A
B
C
D
decreases.
stays the same.
disappears.
increases.o
The law of conservation of matter stated that during a chemical reaction, the amount of matter stays the same. Thus, option B is correct.
Matter can be changed into other forms either by physical or chemical changes. But through any of these changes matter remains constant. The amount of matter present before the chemical reaction will remain the same after the chemical reaction. Thus, the matter can neither be created nor destroyed.
The law of conservation of matter is defined as the law of conservation of mass. Hence, in a system, the mass or matter remains conserved, before and after the chemical reaction and it was given by Antonie Lavoisier.
The law of conservation of matter states that during a chemical reaction, the amount of matter remains the same. Thus, the ideal solution is option B.
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Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The
object moves with constant acceleration. Which part of a velocity vs. time graph can be used to calculate the
displacement of the object?
O the area of the rectangle under the line
the area of the rectangle above the line
the area of the rectangle plus the area of the triangle under the line
the area of the rectangle plus the area of the triangle above the line
Save and Exit
Next
Submit
Answer: The correct answer is:
the area of the trapezoid under the line
To explain this, let's consider the velocity vs. time graph again. Since the object moves with constant acceleration, the graph will be a straight line with a positive slope. The area under the line represents the distance traveled by the object, which is equal to the displacement if the initial position is zero.
The area under the line is a trapezoid because the velocity is changing over time. The base of the trapezoid is the time interval, and the heights are the initial and final velocities. The formula for the area of a trapezoid is:
Area = (base1 + base2) / 2 * height
where:
base1 = initial velocity
base2 = final velocity
height = time interval
Substituting the given values, we get:
Area = (v_i + v_f) / 2 * t
where v_i = 3 m/s, v_f = 10 m/s, and t is the time interval over which the velocities change.
Therefore, the correct answer is the area of the trapezoid under the line.
Why does the top of a liquid usually have a flat surface
HELP CHECK ANSWERS ONLY 3 QUESTIONS:
1. If you took your weight first at sea level and then on top of a very tall mountain, you would find that your weight:
a. decreases
b. stays the same **
c. increases
2. Smaller masses experience more gravitational force than bigger masses.
A. True
B. False **
3. An asteroid moves away from our planet. What happens to the gravitational attraction between it and the earth as it zooms away?
a. It decreases. **
b. It increases.
c. It does not change.
d. It becomes zero.
Answer:
answer 1 is A, Answer 2 is A, Answer 3 is c
When an asteroid moves away from our planet the gravitational attraction between it and the earth as it zooms away increases.
What is gravitational force?The term gravitational force is a force that is attractive and acts between any two masses on the earth surface.
If you took your weight first at sea level and then on top of a very tall mountain, you would find that your weight increases.
It is false that Smaller masses experience more gravitational force than bigger masses.
When an asteroid moves away from our planet the gravitational attraction between it and the earth as it zooms away increases.
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from watching the video, approximate the total time it took for kevin to cross his lawn on the zip line. if kevin has an initial velocity of 3 m/s and comes to a stop at the end of the zip line, calculate the distance he traveled.
The relationship between speed, distance, and time is described using the formula speed distance time. An object traveling 10 miles in 5 minutes averages 120 miles per hour.
What is speed divided by distance?10 miles were covered in total.
It took five minutes in total.
The formula can be used to determine the speed.
s = d/t
s being the speed
D stands for distance.
The amount of time used
Let's change the known variables in the equation above to get
s = 10/5
= 2 miles/minute
However, we must convert the speed to miles per hour in order to use it.
s=2 x 60 miles per hour
120 miles per hour.
An object traveling 10 miles in 5 minutes averages 120 miles per hour.
Consequently, the typical speed is 120 miles per hour.
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A wave is moving at a velocity of 8 km/sec with a frequency of 10 Hz.
Use the equation you rearranged to determine the wavelength of the wave.
Explanation:
arn core concepts.
See Answer
1) For a P wave with velocity of 8 km/s (typical upper mantle speed) in a Poisson solid,compute the wavelength for waves with periods of:
a) 15 sec
b) 1 sec
c) 0.1 sec (100 Hz)
2) Repeat question 2 for an S wave in the same medium (Hint: you have to determine the S wave speed).
The motion of objects in regard to other objects is called _____ motion.
Answer:
The motion of objects in regard to other objects is called relative motion.
Explanation:
Relative motion is the motion of an object in relation to another object or point. It is the description of the movement of an object with respect to a frame of reference or another object in motion. The concept of relative motion is used to describe the motion of objects in everyday life, such as the motion of a car on a highway relative to the motion of other cars or the motion of a person walking on a moving train relative to the motion of the train. The velocity and direction of an object's relative motion are determined by comparing its motion to the motion of a chosen reference point or object.
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The energy that a substance contains is
a. equilibrium
b. heat
c. thermal energy
d. entropy
The energy that a substance contains is known as heat. Thus, the correct option for this question is B.
What is Entropy?Entropy may be characterized as the measurement of the degree of randomness or in other words, it is the increase in the disorganization within a system. It is the measure of a system's thermal energy per unit temperature that is unavailable for doing useful work.
Equilibrium is a state of balance between opposing forces or actions that is either static or dynamic. It symbolizes the circumstance of being balanced in nature.
Thermal energy is a type of energy that is significantly contained within a system that is responsible for its temperature. Heat is the flow of thermal energy.
Therefore, the energy that a substance contains is known as heat. Thus, the correct option for this question is B.
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A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 13.5 m/s, and the man is initially 3.55 m above the level of the saddle. Find a - What must be the horizontal distance between the saddle and limb when the man makes his move? Find b - How long is he in the air?
(a) the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
(b) the man is in the air for approximately 0.843 seconds.
To determine the horizontal distance between the saddle and limb when the man makes his move, we need to consider the horizontal velocity of the man when he drops from the tree limb.
Given:
Speed of the horse (constant velocity), v = 13.5 m/s
Vertical distance between the limb and saddle, h = 3.55 m
a) To find the horizontal distance, we can use the formula:
horizontal distance = horizontal velocity × time
Since the man drops vertically, his initial horizontal velocity is zero. The only horizontal velocity he will have is due to the motion of the horse.
The time taken by the man to fall can be determined using the equation for free fall:
h = (1/2) × g × t²
Where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time.
Rearranging the equation, we get:
t = √(2h / g)
Substituting the given values:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Now, we can find the horizontal distance:
horizontal distance = v × t
horizontal distance = 13.5 × 0.843 ≈ 11.386 m
Therefore, the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
b) The time the man is in the air can be calculated using the same equation for free fall:
t = √(2h / g)
Substituting the given value of h:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Thus, the man is in the air for approximately 0.843 seconds.
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An ultrasound machine uses 1.64 × 105 watts of power. If it draws 12.0 amps of current, what is the resistance?
Answer:
Explanation:
Power of electrical circuit = I² R where I is current and R is resistance
Putting the given data
1.64 x 10⁵ = 12² x R
R = 1.139 x 10³ ohm
= 1139 ohm .
Answer:
r=1140ohms
Explanation: plato family
A long, straight conveyor belt at a sushi restaurant carries sushi past customers with a constant velocity. If the sushi roll you want is 4.30 m to the right of you 11.0 s after exiting the little door at the beginning of the conveyor belt, and it is still 2.10 m to the right of you 10.0 s later, how far is the little door to the right of you?
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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According to the Keynesian view, manipulating foreign sector spending is not a reliable way to move the U.S. economy toward a more acceptable equilibrium because __________.
According to the Keynesian view, manipulating foreign sector spending is not a reliable way to move the U.S. economy toward a more acceptable equilibrium because it does not address the fundamental causes of economic instability.
Keynesian economics focuses on the role of domestic demand in driving economic growth and stability. The government can use fiscal and monetary policy to stimulate aggregate demand and promote full employment. However, changes in foreign sector spending can be unpredictable and beyond the control of domestic policymakers. For instance, an increase in foreign demand for U.S. exports could boost economic growth and employment in the short run, but it may not be sustainable if the foreign demand later decreases. Similarly, a decrease in foreign demand for U.S. exports could have negative short-term effects on the economy, but it may not necessarily lead to a long-term decline. In short, Keynesian economics emphasizes the importance of domestic demand management and stabilizing the economy through government intervention. While changes in foreign sector spending can have some impact on the economy, they are generally seen as unreliable and unpredictable, and therefore not a reliable tool for achieving economic stability in the long run.
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A photograph of you and your friends at your 8th birthday party.is it secondary or primary source and why?
Answer:
primary source
Explanation:
the explanation is in the image above
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Two type of microscopes used to view cells are optical and__ microscopes
options:
laser
Electron
How to travel in the speed of light?
Answer:
Explanation:
1. eectromagnetic Fields. Most of the processes that accelerate particles to relativistic speeds work with electromagnetic fields to the same force that keeps magnets on your fridge!
Magnetic Explosions
Wave-Particle Interaction's
Skier pushes him self along the snow on flat ground he feels Erizo cents on his body which way
Answer:
Forward
Explanation:
Since the skier pushes himself along the snow on flat ground and he feels air resistance, he will only feels air resistance when he starts moving (unless wind is blowing in opposite direction). The net force vector is dependent on the amount of force applied by the skier here we assume that skier continues to move in forward direction. The net force vector will act in the direction of acceleration, since the skier continues to move in the forward direction, therefore the net force vector will also point in the forward direction.
The diagram below shows a golf ball being struck by a club. The ball leaves the club with a speed of 40 meters per second at an angle of 600 with the horizontal. Calculate the maximum height achieved by the ball.
Answer:
61.22m
Explanation:
Maximum height in projectile is expressed as;
H = u²sin²θ/2g
u is the speed
g is the acceleration due to gravity
θ is the angle of projection
Substitute the given values into the formula;
H = u²sin²θ/2g
H = 40²sin²60/2g
H = 1600(0.8660)²/2(9.8)
H = 1600(0.8660)²/2(9.8)
H = 1,199.9/19.6
H = 61.22m
Hence the maximum height achieved by the ball is 61.22m
Which factor indicates the amount of charge on the source charge?
A. the number of field lines on the test charge
B. the number of field lines on the source charge
C. the direction of lines on the source charge
D. the direction of lines on the test charge
Answer:
B. the number of field lines on the source charge
Explanation:
As we know that electric flux is defined as the number of electric field lines passing through a given area.
So here electric flux due to a point charge "q" is given by
so here we know that flux depends on the magnitude of charge and hence we can say that number of filed lines originating from a point charge will depends on the magnitude of the charge.
The factor indicates the amount of charge on the source charge is the number of field lines on the source charge.
What is electric flux?The electric flux is defined as the number of electric field lines passing through a given area.
The electric flux due to a point charge q is given by the number of filed lines through particular closed area.
We know that flux depends on the magnitude of charge and number of field lines starting from a point charge will depends on the magnitude of the charge.
Thus, the correct option is B.
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