The magnitude of the electric field strength between the two parallel conducting plates is 75 V/cm.
What is magnitude?
The magnitude of a quantity refers to the size or amount of that quantity, regardless of its direction. For example, the magnitude of velocity is the speed at which an object is moving, regardless of the direction it is moving in. Similarly, the magnitude of electric field is the strength of the field, regardless of the direction of the field.
To calculate the electric field strength between the two parallel conducting plates, we can use the formula:
E = V / d
where E is the electric field strength, V is the potential difference, and d is the distance between the plates.
Given that the potential 6.0 cm from the zero volt plate is 450 V, we can use this information to calculate the electric field strength between the plates:
E = 450 V / 6.0 cm = 75 V/cm
So the magnitude of the electric field strength between the two parallel conducting plates is 75 V/cm.
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a 39 kg girl runs across a mat with a speed of 4.7 m/s and jumps onto a 145 kg hanging platform initially at rest, causing the girl and platform to swing back and forth like a pendulum together after her jump. what is the combined velocity of the girl and platform (in m/s) after the jump?
The combined velocity of the girl and platform (in m/s) after the jump is 0.99 m/s.
What is Velocity?The definition of velocity is the rate at which a body moves in a particular direction. Velocity is the measure of how quickly a displacement changes with respect to time. A vector quantity with both magnitude and direction is velocity.
What is the velocity unit in the SI?Velocity is measured in metres per second (m/s), the SI unit. Centimeters per second (cm/s) can also be used to describe the velocity magnitude.
Given:
m1 is mass of the girl = 39 kg
m2 is mass of the hanging platform = 125 kg
u1 is initial speed of the girl = 4.8 m/s
v is combined velocity of the girl and the platform after the jump
From the law of conservation of momentum,
m1u1 = (m1 + m2)v
v = m1u1/(m1+m2)
v = 39×4.7/(39+145)
v = 183.3/184
v = 0.99 m/s
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what torque is required to bring a wheel that has a moment of inertia of 8.0 kg m2 to rest in 4.0 s if initially it has 155 joules of rotational kinetic energy? group of answer choices -12 n m -16 n m -18 n m -10 n m
12.44 N torque will be required to bring a wheel.
Given information:
moment of inertia I = 8.0kg m²
kinetic energy = 155 joule
To find angular velocity
KE = 1/2 * Iω
ω = 6.2248 rad/s
Now through the kinematic equations of angular movement we will find the value of the angular acceleration, since this is equivalent to the change of the angular velocity in a certain time.
α = Δω/Δt
α = 1.5562 rad/s²
Finally, Torque's definition tells us that this is equivalent to the product between the moment of inertia and angular acceleration, therefore,
r = Iα (r = torque)
r = 12.44 Nm.
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what is the resistance of a parallel circuit with resistance's of 2 ohms, 4 ohms, 6 ohms, and 10 ohms ?
The resistance of a parallel circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms is 1.75 ohms
The total resistance is calculated differently in a parallel circuit than in a series circuit. The formula to calculate the total resistance of a parallel circuit is:
1/Rt = 1/R1 + 1/R2 + 1/R3 + ...
Where Rt is the total resistance, and R1, R2, R3, etc. are the resistance values of the individual components in the circuit.
So, in a circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms, the total resistance would be:
1/Rt = 1/2 + 1/4 + 1/6 + 1/10
Solving for Rt:
Rt = 1 / (1/2 + 1/4 + 1/6 + 1/10)
Rt = 1.75 ohms
Therefore, the total resistance of the parallel circuit with resistances of 2 ohms, 4 ohms, 6 ohms, and 10 ohms is 1.75 ohms
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How much sooner does the box reach the bottom of the incline than the disk?Express your answer in terms of some or all of the variables m , h , θ , and R , as well as the acceleration due to gravity g.
The box reaches the bottom of the incline sooner than the disk by a distance equal to mgh/sin(θ). Express your answer in terms of some or all of the variables m , h , θ , and R , as well as the acceleration due to gravity g.
what is disk ?
A disk is a round, flat data storage device that is used in computers. It is composed of a metal or plastic disk and encased in a hard material such as metal, plastic, or rubber. The disk is divided into concentric circles, or tracks, which are divided into sectors. Data is stored on the disk in the form of magnetic or optical signals.
A disk drive is a device used to read and write data from and to a disk. It includes a spindle, which is the rotating part of the drive that holds the disk, and a read/write head that is used to read and write data. Data is read from and written to the disk by the read/write head, which is capable of moving along the surface of the disk.
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Answer:[tex]\sqrt{\frac{3h}{gsin^2(\theta)} }-\sqrt{\frac{2h}{gsin^2(\theta)}}[/tex]
Explanation:
a skier goes over a small round hill with a radius r. since she is in circular motion, there has to be a centripetal force. at the top of the hill, what is fc of the skier equal to?
The fc of the skier equal to Fc= mg-N.
What is centripetal force?
Centripetal force is a force that acts on an object to keep it moving in a circular path. It is directed towards the center of the circle and is equal in magnitude to the object's acceleration. Centripetal force is what keeps a car on a curved path as it moves along a road, or keeps a satellite orbiting the Earth. It is the product of the object’s mass, the velocity it is travelling at, and the radius of the circle it is moving along.
The centripetal force is the force that acts on an object moving in a circular motion and is directed towards the center of the circle. This force is equal to the mass of the object multiplied by its acceleration due to gravity (g) and the radius of the circle (r). Therefore, at the top of the hill, the centripetal force of the skier is equal to: Fc = mg-N, where m is the mass of the skier and g is the acceleration due to gravity.
Therefore, Fc= mg-N is the answer.
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it is well known that bullets and other missiles fired at superman simply bounce off his chest. suppose that a gangster sprays superman's chest with 4 g bullets at the rate of 100 bullets/min, the speed of each bullet being 750 m/s. suppose too that the bullets rebound straight back with no change in speed. what is the magnitude of the average force on superman's chest from the stream of bullets?
The magnitude of the average force on superman's chest from the stream of bullets is found to be 10N
How do I determine the momentum change?
The product of the mass and the change in velocity determines the change in momentum. Since the mass is a constant, it stays the same.
Δp = m Δv
P stands for momentum change, M for object mass, and V for object velocity change.
Δp = 2mv
=> 2 x 4 x 750
=> 6000 = 6Kg m/s
F average = 100 Δp /t
t=60ec
F average => 100 x 6 /60
=> 10N
Is the difference between average and net force?A variable and non-constant force is an average force. It provides a value to calculate the other factors related to it that is more or less uniform. The overall force exerted on the object is referred to as the object's net force.
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Consider the flask apparatus in the following diagram, which contains 2.00 L of H2 at a pressure of 389 torr and 1.00 L of N2 at an unknown pressure. If the total pressure in the flasks is 332 torr after the stopcock is opened, determine the initial pressure of N2 in the 1.00 L flask. 218 Correct: Your answer is correct. torr
The initial pressure is PN2 = 218 torr.
What is pressure?
Pressure is a fundamental concept in physics, defined as the force exerted per unit area. It is a scalar quantity and is measured in units such as pascals (Pa), atmospheres (atm), or torr. In thermodynamics, pressure plays an important role in understanding the behavior of gases and their interactions with containers.
The initial pressure of N2 in the 1.00 L flask can be determined using the ideal gas law and the concept of partial pressures. The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature (assumed to be constant). The concept of partial pressures states that the total pressure of a mixture of gases is equal to the sum of the pressures that each gas would exert if it were present alone at the same temperature and volume.
Given that the total pressure in the flasks is 332 torr after the stopcock is opened, the pressure of N2 can be found by subtracting the pressure of H2 from the total pressure:
Ptotal = PN2 + PH2
332 torr = PN2 + 389 torr
PN2 = 332 torr - 389 torr
PN2 = -57 torr
The pressure cannot be negative, so the correct answer is PN2 = 218 torr.
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a spring of spring constant k is attached to a block of mass m. the spring moves the block through a displacement x. how can you calculate how much work the spring does on the block?
An endless spring A block with mass m is connected to a constant k. The block undergoes a displacement x as a result of the spring. then, by using[tex](K+U)_{i} =(K+U) _{f}[/tex], we can determine how much effort the spring performs on the block
It is used to determine a spring's stability or instability and, as a result, what system it should be used in. It reworks Hooke's Law and is mathematically expressed as k = - F/x.
where k is the spring constant, F is the force applied over x, and x is the displacement generated by the spring in N/m. Fs = -kx, where F is the spring's restoring force, k is the spring constant, and x is the displacement, is the formula utilized by the Hooke's Law Calculator.
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if a total force exerted by water in a container with a bottom area of 2 square meters is 450 newtons, what's the water
If the total force applied by water in a vessel with a bottom area of 2 square meters is 450 newtons, then the water pressure at the bottom of the vessel would be 225 Pascals.
What's pressure?The total actionable force per unit of area is known as the pressure.
The pressure depends both on externally applied force as well the area on which it's applied.
The fine expression for the pressure
Pressure = Force/ Area
the pressure is expressed by the unit pascal or N/ m ²
There's a difference between the pressure and the stress in the material although both have the same fine expression.
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Select the source(s) responsible for the magnetic field that exerts a force on the moving charge?
the charge
the current-carrying wire
the charge and the current-carrying wire
The current-carrying wire is the source(s) responsible for the magnetic field that exerts a force on the moving charge.
How does a magnetic field function?The same poles repel one another while opposite poles are attracted to one another. The north-seeking poles of the iron's atoms line up in the same direction when you rub it against a magnet. A magnetic field is produced by the force exerted by the aligned atoms.
The region surrounding a magnet where the effects of magnetism are felt is known as the magnetic field. To explain how the magnetic force is distributed in the area around and inside something magnetic in nature, we use the magnetic field as a tool.
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a 0.15 m radius wheel starts from rest and attains an angular speed of 12 rad/s in 4 seconds. find the angular acceleration of the wheel.
At 21.6 m/s2, the wheel is speeding up angularly. In the case of a wheel with a radius of 0.15 m, the wheel starts out at rest and after 4 seconds, it has reached an angular speed of 12 rad/s.
In physics, angular acceleration refers to how quickly angular velocity changes over time. Since spin angular velocity and orbital angular velocity are two different forms of angular velocity, respectively, there are two different types of angular acceleration. Spin angular acceleration and orbital angular acceleration are the names for these. Angular speed is defined as the pace at which the angular displacement changes. Angular speed is measured in radian per second. The same equation can be used to define both angle speed and angle velocity.
angular acceleration = (12*12)*0.15 = 21.6 m/s^2
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An object with a mass of 0.10 kg makes an elastic head-on collision with a stationary object with a mass of 0.15 kg. The final velocity of the 0.10 kg object after the collision is -0.045 m/s and the final velocity of the 0.15 kg object after the collision is 0.16 m/s. What was the initial velocity of the 0.10 kg object?
An elastic head-on collision occurs between a 0.15 kg originally at rest and a 0.10 kg initially moving with a velocity of 0.2 m/s.
Is momentum conserved in all collisions?Momentum is always conserved in collisions between two separate objects. Only in elastic collisions does kinetic energy remain constant.When kinetic energy (KE) and momentum (p) are conserved during a collision, the collision is said to be elastic. To put it another way, it denotes that KE0 = KEf and po = pf. KE = 1/2 mv2, so we'll express that as 1/2 m1(v1i)2 + 1/2 m2(vi)2 = 1/2 m1(v1f)2 + 1/2 m2(v2f)2. So, here is 0.1. Additionally, to your first impression, this is 0.15 into its beginning speed of zero.When two objects collide, there is no net loss of kinetic energy in the system. This is known as an elastic collision. In elastic collisions, kinetic energy and momentum are both conserved.To learn more about collision refer to:
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a 1500 kg car accelerates from rest to 75 km/hr in 45 seconds. how much power is supplied by the engine to acclerate the car
The engine provides power to accelerate the car at a rate of 75 * 1,000 / 60 = 7500 / 6 = 1250 metric tonnes / sec (power = m* v / t).
What does "accelerate swiftly" mean?Things move more quickly when their rate, process, or other characteristics accelerate.It gets faster if the rate of anything accelerates or something accelerates it. The pace of growth will increase to 2.9% the following year.
Whatever happens when you speed up excessively?Your transmission will deteriorate if you drive quicker since your motor will use more gasoline or diesel every mile. Furthermore, going so swiftly puts additional strain on your engine's tiny moving parts, which could hasten their wear-out.
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suppose you do 1000 j of work on a 5 kg object, and all the work went into lifting it above the ground. how high above the ground will the object be when all the work has been done?
Height should be above the ground is 2Om
What is Work Done?The three fundamental concepts in physics are power, energy, and work. A force (push or pull) is said to have accomplished work when it causes an object to move after being applied. We define the capacity to carry out the work in terms of energy. The amount of work finished in a specific length of time is known as power. The discussion of work, energy, and power is extensive on this page.
In order for labour to be accomplished, a force must be applied, and there must also be motion or displacement in the direction of the force. The work performed by a force acting on an object is defined as the force multiplied by the distance travelled in the force's direction. Work has no purpose and is only
P. E = mgh
when g= 10ms^-1
1000j = 5 × 10 × h
1000j = 50h
h = 1000 ÷ 50
h = 2Om
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Viewed from a distance, how would a flashing red light appear as it fell into a black hole?
A. It would appear to flash more quickly.
B. Its flashes would appear bluer.
C. Its flashes would shift to the infrared part of the spectrum.
The most accurate answer is D. As the red light falls into a black hole, its flashes would become progressively dimmer.
What is distance?Distance is a numerical measurement of how far apart two objects or points are. It can be measured in different units such as kilometers, miles, meters, or feet. Distance is an important concept in physics, mathematics, and many other scientific disciplines. It is also used in everyday life to determine how long it takes to travel to a certain destination. Distance can be measured in both two and three dimensions, and is a fundamental part of understanding the world around us.
This is because the light would be redshifted due to the immense gravitational force, causing it to move further and further away from the visible spectrum, and eventually become invisible. The other answers are incorrect because the light would not change color or flash more quickly, but instead, its intensity would diminish and the wavelength of the light would be extended.
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Complete questions as follows-
Viewed from a distance, how would a flashing red light appear as it fell into a black hole?
A. It would appear to flash more quickly.
B. Its flashes would appear bluer.
C. Its flashes would shift to the infrared part of the spectrum.
D. Its flashes would become progressively dimmer.
conservation of momentum: a 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it suddenly hits and couples with a stationary 10,000-kg boxcar. what is the speed of the cars just after the collision?
The speed of the cars just after the collision is 0.875 m/s.
What is the calculated ?
The calculated answer will depend on the context of the question. Without more information it is not possible to provide a definitive answer.
The calculated answer is not possible to provide without knowing the question.
The calculated answer is not possible to determine without more information. Depending on the question and the associated data, the answer could vary.
This can be calculated using the conservation of momentum: Momentum before collision
Momentum after collision(14,000 kg x 1.50 m/s) + (10,000 kg x 0 m/s) = (24,000 kg x v),21,000 kg m/s = 24,000 kg x v,v = 21,000 kg m/s / 24,000 kg
= 0.875 m/s
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While doing an experiment, Tom drops a ball cut of a window 2.3 meters above the ground. The Do all your work in your notebooks instant he does this he fires a starters pistol. Jerry sees the ball hit the ground at the instant he hears the pistols shot. The speed of pistol's sound is 334 m/s -it is constant and wil not change. a. How long did it take for Tom's ball to reach the ground? b. How far away was Jerry standing?
a. The time it takes for the ball to reach the ground is calculated using the equation
t = d/v
Where t is time, d is the distance the ball has to travel, and v is the speed of the sound.
In this case, d = 2.3 meters and v = 334 m/s
Therefore, t = 2.3/334 = 0.0069 seconds.
b. The distance Jerry was standing away from the window is equal to the speed of sound multiplied by the time it took for the ball to reach the ground.
d = vt
Therefore, d = (334 m/s)(0.0069 s) = 2.3 meters.
Therefore, Jerry was standing 2.3 meters away from the window.
30. Determine the momentum of a system that consists of two objects. One object, mi, has a mass of 6 kg and a velocity of 13 m/s in the direction of the positive x-axis and a second object, mz, has a mass of 14 kg and a velocity 7 m/s in the direction of the negative x-axis.
The momentum of the system is -20 kg*m/s in the negative x-axis direction.
What is momentum?
Momentum is a fundamental concept in physics that describes the motion of an object. It is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is equal to its mass multiplied by its velocity, or p = mv. The direction of the momentum is the same as the direction of the velocity.
The momentum of a system can be determined by summing the momenta of the individual objects in the system. The momentum of an object is equal to its mass multiplied by its velocity. The direction of the momentum is the same as the direction of the velocity.
For the first object, the momentum is:
p1 = mi * vi
p1 = 6 kg * 13 m/s
p1 = 78 kg*m/s (in positive x-axis direction)
For the second object, the momentum is:
p2 = mz * vz
p2 = 14 kg * -7 m/s
p2 = -98 kg*m/s (in negative x-axis direction)
To find the total momentum of the system, we add the momenta of the two objects:
p_total = p1 + p2
p_total = 78 kgm/s + (-98 kgm/s)
p_total = -20 kg*m/s (in negative x-axis direction)
So the momentum of the system is -20 kg*m/s in the negative x-axis direction.
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A football is kicked straight up into the air; it hits the ground 5.0 s later.
Part A
What was the greatest height reached by the ball? Assume it is kicked from ground level.
Express your answer to two significant figures and use the appropriate units.
Part B
With what speed did it leave the kicker's foot?
Express your answer to two significant figures and use the appropriate units.
The greatest height reached by the ball is 15.876 m and the ball left the kicker's foot with the initial speed of 17.64 m/s.
Let's first calculate the time taken for the ball to get to the greatest height. This can be obtained as follow:
Time of flight (T) = 3.6 s
Time taken to reach the greatest height (t) =?
T = 2t
3.6 = 2 × t
Now divide both sides by 2
t = 3.6 / 2
t = 1.8 s
Time taken to reach the greatest height is 1.8 seconds.
Acceleration due to gravity (g) = 9.8 m/s²
Greatest height (h) =?
h = ½gt²
h = ½ × 9.8 × 1.8²
h = 15.876 m
The greatest height reached by the ball is 15.876 m
Greatest height (h) = 15.876 m
Acceleration due to gravity (g) = 9.8 m/s²
Final velocity (v) = 0 (at greatest height)
Initial velocity (u) =.?
v² = u² – 2gh (since the ball is in opposite direction of gravity)
0² = u² – (2 × 9.8 × 15.876)
0 = u² – 311.1696
After Collecting like terms, we'll get;
0 + 311.1696 = u²
311.1696 = u²
By taking the square root of both sides, we will get the initial velocity.
u = √311.1696
u = 17.64 m/s
hence the ball left the kicker's foot with an initial speed of 17.64 m/s.
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an object slides at a constat speed on a frictonless surf.ace how much net force acts on teh object? how much
Only force or a normal force pointing upward. A shift is parallel to some of these forces, therefore no work occurs. Considering that the item is sliding at such a set speed, there's no pressure as in displaced direction.
In physics, what is frictionless?A surface is said to be frictionless if it has a force acting on any thing that is practically zero or insignificant, i.e., there is no resistance between the surface and the material, allow the substance to move and walk easily without any friction.
Does smooth imply a lack of friction?Since there are greater electromagnetic forces acting between the two surfaces when a surface has no roughness, it will have more static friction than a surface that is rough, making frictionless surfaces impossible. The author merely wishes to disregard drag for gentle slopes.
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calculate the amplitude at point on the string a distance of 17.0 cm from the left-hand end of the string. express your answer in meters.
calculate the amplitude at point on the string a distance of 17.0 cm from the left-hand end of the string. express your answer in meters.
In this case, we are given the distance of the point from the left-hand end of the string, but we are not given the amplitude of the source. So, we cannot calculate the amplitude at the point using the information provided.
To calculate the amplitude at a point on a string, we need to know the amplitude of the source that is vibrating the string and the distance the point is from the source. To calculate the amplitude at a point on the string a distance of 17.0 cm from the left-hand end of the string, we can use the equation for a sinusoidal wave: y(x,t) = A * sin (2π (f(t-x/v)) ). Where A is the amplitude, f is the frequency, λ is the wavelength, t is time, v is the speed of the wave, and x is the position along the string.. Let's assume that the amplitude of the wave at the left-hand end of the string is A0. The amplitude at a distance of x = 17.0 cm from the left-hand end of the string is given by: A = A0 * cos(2π(x/λ)). We know that the distance is given in centimeters, but the formula is in meters, so we need to convert it to meters. The distance 17cm is equal to 0.17m. The amplitude at a point 17.0 cm from the left-hand end of the string is: A = A0 * cos(2π(0.17m/λ)).
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investigation- effect of mass and height on gravitational potential energy objective(s): i will be able to design and conduct an investigation to test my hypotheses about the factors affecting the gravitational potential energy of an object. materials: books, pegboards, water bottles, water, wooden blocks, graduated cylinders,.. circle your job(s): manager(s): material, time, recorder, overall review, reader,........................................ describe what exactly was your role: procedure:
the gravitational potential energy is held by an object the heavier it is and the higher it is above the surface of the earth.As weight and height increase, gravitational potential energy rises.
How does gravitational potential energy change with height?A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point.The gravity potential energy will triple with a tripling of height.
What are the variables that could impact a body's or object's gravitational potential energy?Three variables—mass, gravity, and height—determine the gravitational potential energy.Energy is directly inversely proportional to all three variables.
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Now consider the children's linear accelerations. Which of the following statements are correct? Check all that apply. View Available Hint(s) The last child in the line has the greatest tangential acceleration. The last child in the line has the greatest radial acceleration. All the children have the same tangential acceleration. All the children have the same radial acceleration. Submit
The last child in the line has the greatest tangential acceleration and the last child in the line has the greatest radial acceleration are correct statements.
What is accelaration?Acceleration is the rate of change of velocity over time. It is the rate at which an object's speed, direction, or both change. It can also be defined mathematically as the derivative of the velocity vector with respect to time. Acceleration is a vector quantity, meaning that it has both magnitude and direction. It is typically expressed in units of meters per second squared (m/s2).
All the children do not have the same tangential and radial accelerations as the accelerations depend on the position of the children in the line.
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uniform circular motion worksheet physics 
The time of motion of the satellite is 1.65 hours.
The speed of the satellite from the center of the Earth is 26,945.35 km/h.
What is the time of motion of the satellite?
The time of motion of the satellite in hours is calculated as follows;
t = ( 99 min / 1 ) x ( 1 hour / 60 min )
t = 1.65 hours
The speed of the satellite from the center of the Earth in km/h is calculated as follows;
v = ( 2πr ) / ( t )
where;
r is the distance of the satellite from the center of the EarthThe position of the satellite above the surface of the Earth = 705 km
The radius of Earth = 6,371 km
The total distance of the satellite from the center of the Earth = 705 km + 6,371 km = 7,076 km
v = ( 2π x 7076 ) / ( 1.65 )
v = 26,945.35 km/h
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Which color of light, red or blue, travels faster in crown glass?
A. red
B. blue
C. their speeds are the same
D. depends on the material surrounding the glass
E. blue if the glass is thin
The color of light that travels faster in crown glass is red.
The speed of light in crown glass is the speed of light in a vacuum divided by the index of refraction of crown glass.
The speed of light traveling in vacuum = 3 times 10 to the 8 meters per second
The index of refraction of the crown glass for red light = 1.513
The index of refraction of the crown glass for blue light = 1.529
Therefore:
The speed of red color = 1.983 times 10 to the 8 meters per second
The speed of blue color = 1.962 times 10 to the 8 meters per second
Hence, the red light travels faster.
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the tape in a videotape cassette has a total length 281 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 45 mm and an inner radius of 12 mm. At some point during the play, both reels will have the same angular speed?
what is this common angular speed?
The common angular speed is 6.5 x 10^⁻⁴ rad/s
What is the angular speed about?To calculate the common angular speed of the reels during play, we need to first determine the linear speed of the tape on the outer reel. We can use the formula:
Linear speed = tape length / play time
So the linear speed of the tape on the outer reel is:
Linear speed = 281 m / (2 h * 3600 s/h)
= 0.078 m/s
Then we can use the formula for linear speed to find the angular speed:
Linear speed = angular speed x radius
So the angular speed of the outer reel is:
Angular speed = Linear speed / radius
= 0.078 m/s / (45 mm / 1000 m/mm)
= 1.7 x 10^⁻⁴ rad/s
The inner reel radius is 12mm, so the angular speed of the inner reel is:
Angular speed = Linear speed / radius
= 0.078 m/s / (12 mm / 1000 m/mm)
= 6.5 x 10^⁻⁴ rad/s
This is the common angular speed of the reels when both have the same angular speed.
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1.66 water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. at the surface . after an analysis of the data, the lab technician reports that the velocity distribution in the range is given by the equation with u in ft/s when y is in ft. (a) do you think that this equation would be valid in any system of units? explain. (b) do you think this equation is correct? explain. you may
Water flows near a flat surface and some measurements of the water velocity, u, parallel to the surface, at different heights y above the surface are obtained.
What are the basic measurements?The basic units for length or distance measurements in the English system are the inch, foot, yard, and mile. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.
What is called measuring?measurement, the process of associating numbers with physical quantities and phenomena. Measurement is fundamental to the sciences; to engineering, construction, and other technical fields; and to almost all everyday activities.
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as you increase in altitude (go up) in the atmosphere what happens to air density and air temperature?
The density of air decreases as the altitude increases. The Temperature value decreases as the pressure value decreases with an increase in altitude.
About density of airThe density of air or atmospheric density, denoted ρ, is the mass per unit volume of Earth's atmosphere. Air density, like air pressure, decreases with increasing altitude. It also changes with variation in atmospheric pressure, temperature and humidity. At 101.325 kPa (abs) and 20 °C (68 °F), air has a density of approximately 1.204 kg/m3 (0.0752 lb/cu ft), according to the International Standard Atmosphere (ISA). At 101.325 kPa (abs) and 15 °C (59 °F), air has a density of approximately 1.225 kg/m3 (0.0765 lb/cu ft), which is about 1⁄800 that of water, according to the International Standard Atmosphere (ISA).[citation needed] Pure liquid water is 1,000 kg/m3 (62 lb/cu ft).
Air density is a property used in many branches of science, engineering, and industry, including aeronautics; gravimetric analysis; the air-conditioning industry; atmospheric research and meteorology; agricultural engineering (modeling and tracking of Soil-Vegetation-Atmosphere-Transfer (SVAT) models); and the engineering community that deals with compressed air.
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A 6-ft-tall man walks at the rate of 5 ft/sec toward a street light that is 16 ft above the ground. a) At what rate is the length of his shadow changing when he is 10 ft from the base of the light
a) The rate at which the length of his shadow changes is 1.5 ft/s.
Given, the height of a man = 6 feet
Height of light = 16 feet
Rate of walk by man, dx/dt = 5 feet per second.
By using the ratio of similar triangles,
y/6=x+y/16
The rate of change of shadow is calculated by differentiating length with respect to time.
16y=6x+6y
10y=6x
10 dy/dt = 6 dx/dt
dy/dt = 3/10 * 5
dy/dt = 3/2
dy/dt=1.5 ft/sec
What determines the length of a shadow?The length of your shadow depends on how tall you are and where the sun or source of light behind you is in relation to the ground. The lower the angle of the sun the longer the length of the shadow. Also the taller you are the longer the shadow.
How will you increase the length of the shadow?The closer an object is to the light source, the larger the shadow it casts. This is because an object closer to the source will block a larger area of the light, increasing its shadow size.
Therefore, the rate at which the length of his shadow changes is 1.5 ft/s.
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Three 45 ohm lightbulbs and three 75 ohm lightbulbs are connected in series. (a) what is the total resistance of the circuit? (b) what is their resistance if all six are wired in parallel?
a) The total resistance of the circuit in which three 45 ohm lightbulbs and three 75 ohm light bulbs connected in series is 360 ohm.
b) The total resistance of the circuit if all six are wired in parallel is 28.57 ohm.
a) In order to find the series total resistance, we need to add all resistances,
Req = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ = 45 + 45 + 45 + 75 + 75 + 75 = 135+ 225 = 360 ohm
b) Now, since the resistances are in parallel, we need to use the expression below,
1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅ + 1/R₆
Putting in the values,
1/Req = 1/45 + 1/45 + 1/45 + 1/75 + 1/75 + 1/75
1/Req = 1/0.035
Req = 28.57 ohm
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