If there is a distance between the object and the image, the focus length is -0.021cm.
How long is the focal point?A lens's focal length is established when it is focused at infinity. We can determine the magnification—how large individual elements will be—and the angle of view—how much of the scene will be captured—by knowing the focal length of the lens. The narrower the field of view and higher the magnification, the longer the focal length.
Distance from object to picture d= 30 cm.
object distance = 53cm
We must determine the object's distance.
u - v =d
u = 30+53
u = 83cm
We must determine the focus length.
Using the lens
1/f = 1/v -1/u
in the formula, include the value
1/f = 1/-30 -1/83
1/f = -0.021cm
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Which of the following is not a method of making magnets? A. Induction B. Beating a magnet on an object C. Electromagnetic D. Rubbing a magnet agains an object
Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.
What are methods to prepare magnet?Paper-clip Note Magnet
Making a magnet out of a paper clip is the simplest method.
Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.
The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.
Magnet using the electro magnetic approach in an image
Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.
Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.
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While investigating the relationship between voltage, current, and resistance, students connected different batteries to different circuits
and recorded measurements of battery voltage and current flowing through the battery. They then produced the model shown below.
Based on the data provided in the graphical model, what claim can be made about the resistance of the circuit?
A._The resistance of the circuits increased as battery voltage increased.
B._ The resistance of the circuits decreased as a battery voltage increased.
C._ The resistance of the circuits remained constant as the battery voltage increased.
D._ The resistance of the circuits could have either increased or decreased as the battery voltage increased.
Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).
What connection does there exist between voltage and current, current and resistance, and voltage and resistance?Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.
The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.
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Answer:
b
Explanation:
imagine we've discovered a planet orbiting another star at an average distance of 1 au with an orbital period of 6 months. the planet has a moon that orbits the planet at the same distance as our moon, but it takes 2 months to complete an orbit. what can we infer about this planet?
This planet is less massive than the Earth, as we can deduce.
What is meant by the orbital period?
A measure of how long it takes for one complete orbit of a celestial body to complete In terms of time, "the orbit period depends on the satellite altitude." the length of time needed for one cycle of a phenomenon that repeats itself frequently.
What are rotation and revolution?
An object rotating around its axis is referred to as turning. An object's orbital movement around another thing is called a "revolution." A 24-hour day, for instance, is created when the Earth rotates on its axis. The 365-day year results from the Earth's rotation around the sun.
Therefore, it is lesser massive than Earth.
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5.28 ** a massless spring is hanging vertically and unloaded, from the ceiling. a mass is attached to the bottom end and released. how close to its final resting position is the mass after 1 second, given that it finally comes to rest 0.5 meters below the point of release and that the motion is critically damped?
The motion is critically damped is 0.69 m.
What is meant by mass of object?The mass of a body is the amount of matter it contains. It is a scalar value. Weight: A body's weight is the force with which the earth attracts it. It is the effect of gravity.
The property of matter that measures its resistance to acceleration in physics. The mass of an object is roughly equal to the number of atoms in it. The kilogram is the fundamental unit of mass measurement. Weight = mass multiplied by gravity's acceleration
critically damped: βω0.
x = [tex]$\left(C_1+c_2 t\right) e^{-\beta t}$[/tex] = 2 J t = 0
[tex]$\dot{x}=\left(c_1+c_2 t\right)\left(-\beta e^{-\beta b}\right)+c_2 e^{-\beta t}$[/tex] = 0 st = 0
[tex]$c_1=2 . \quad c_2=\beta \cdot 2$[/tex]
Now, [tex]$\omega_0=\sqrt{\frac{b}{m}}$[/tex]
Let the equation be mg = k . 2
so, √g/2 = √k/m = [tex]$\omega_0$[/tex]
[tex]$c_1[/tex] = 2, [tex]$c_2[/tex] = √(8/2) × 2 = 2√5
x = [tex]$(2+2 \sqrt{5} t) e^{-\sqrt{5} t}$[/tex] or [tex]$(2+2 \sqrt{3}) e^{-\sqrt{s}}$[/tex] = 0.69 m
Therefore the motion is critically damped is 0.69.
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niobium metal becomes a superconductor when cooled below 9 k. its superconductivity is destroyed when the surface magnetic field exceeds 0.100 t. in the absence of any external magnetic field, determine the maximum current a 2.60-mm-diameter niobium wire can carry and remain superconducting
Niobium wire with a 2.60 mm diameter has a maximum current capacity of 500 A while still remaining superconducting.
Describe the present.Current is the rate at which charge passes from one point on a circuit to another. In a circuit, a significant current flows when several coulombs or charge pass over the cross section of a wire. When the charge carriers are firmly packed inside the wire, high currents can be generated at low speeds.
What do current and electron actually mean?Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. Regular current is received at the positive end and then flows to a negative terminal.
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a visitor to a lighthouse wishes to determine the height of the tower. the visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. the period of oscillation is 9.12 s. what is the height of the tower? the acceleration due to gravity is 9.81 m/s 2 . answer in units of m
The height of the tower is 20.68 m
What is simple harmonic motion?Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.
Using,
T = 2π√(L/g)
Where, T = period of the oscillation
L = Height of the tower
g = Acceleration due to gravity
Make L the subject of the equation
L = gT²/(4π²)
Given: T = 9.12 s
g = 9.8 m/s²
π = 3.14
Substitute into equation 2
L = 9.8(9.12²)/(4×3.14²)
L = m
Hence the height of the tower = 20.68 m
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a glass slab of thickness 3 cm and refractive index 1.67 is placed on on ink mark on a piece of paper. for a person looking at the mark from a distance of 9.8 cm above it, what well the distance to the ink mark appear to be in cm?
The distance to the ink mark appear to be in 3.58cm.
How do you define refractive index?The refractive index, also known as the index of refraction, is a numerical value that is determined by comparing the difference between the speed of light in a vacuum and that of light in a material with a higher density. The refractive index variable is most usually represented by the letter n or n' in mathematical computations and descriptive language.
The measurement of how much a light ray bends when moving from one medium to another is called the refractive index. It is also known as n = c/v, which is the ratio of the speed of a light beam in a substance to that of a light ray in a vacuum.
The perceived depth of the link noted = real depth/µ
The perceived depth of the link noted = 3/1.67
The perceived depth of the link noted = 1.79cm
So, the person sees the mark from a distance = 1.79+1.79 = 3.58cm
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surface waves are caused primarily by what? question 6 options: frictional forces between wind and the ocean surface frictional forces at the level of the thermocline layer primarily gravitational forces of the moon large aquatic organisms breaching the ocean surface
Frictional forces between wind and the ocean surface are the primary cause of surface waves. This is the first option.
How are surface waves formed?The most common cause of waves is wind. Surface waves, also known as wind-driven waves, are formed by the frictional forces between wind and surface water. The continual disturbance creates a wave crest as wind blows across the surface of the ocean or a lake. Surface waves are found globally across the open ocean and along the coast.
There is also a type of waves called tidal waves. Tidal waves are caused by the gravitational pull of the Sun and Moon on Earth.
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A resistor, an inductor, and a capacitor are connected in series to an ac source. What is the phase angle between the voltages of the inductor and capacitor in this rlc circuit?.
The phase angle between the voltages of the capacitor and inductor in rlc circuit is 180°.
The phase angle is the component of a periodic wave. It is the shift between the AC current and the voltage on the measured impedance. The two elements of phase angle are reactance(X) and resistance (R).
The phrase for phase angle is, Xₐ = sinωt
where Xₐ= phase angle
ω = wavelength of the wave in 1 revolution
t = time period of 1 revolution
The instantaneous voltage ΔvR is in phase with the current, ΔvL leads the current by 90°, while ΔvC lags behind the current by 90°. The instantaneous values of these three voltages do add algebraically to give the instantaneous voltages across the RLC combination.
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given the presence of dust throughout the disk of the milky way galaxy, what is the best technique for learning about more distant regions of our galaxy's disk?
Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.
What evidence do we have that the Milky Way is a disk galaxy?There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.
The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.
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A pumpkin is dropped from the top of a Cilk Fm broadcasting tower. What is the pumpkin's velocity 3.00 s later?
The velocity of the pumpkin 3.0 seconds after it was dropped is 29.4m/s.
What is the pumpkins velocity after 3.0 seconds?The formula for the first equation of motion is expressed as;
v = u + gt
Where v is final velocity, u is initial velocity, g is acceleration due to gravity ( g = 9.8m/s² ) and t is time elapsed.
Given the data in the question;
Since the pumpkin was initially at rest before it was dropped.
Initial velocity u = 0Elapsed time t = 3.0s Velocity after 3 second v = ?To determine the velocity of the pumpkin after 3 seconds, plug the given values into the above equation of motion.
v = u + gt
v = 0 + ( 9.8m/s² × 3.0s )
v = 9.8m/s² × 3.0s
v = 29.4 m/s
Therefore, the final velocity is 29.4 meter per seconds.
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a basketball player achieves a hang time of 0.671 s when dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s^2. Answer in units of m.
The vertical height the basketball player will attain in the given time is 2.2 m
How to determine the vertical heightFrom the question given above, the following data were obtained:
Time (t) = 0.671 secondsAcceleration due to gravity (g) = 9.8 m/s²Vertical height (h) =?The vertical height attained by the player, can be obtained as illustrated below:
h = ½gt²
h = ½ × 9.8 × 0.671²
h = ½ × 9.8 × 0.450241
h = 2.2 m
Thus, from the calculation made above, we can conclude that the vertical height of the player is 2.2 m
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the triceps muscle in the back of the upper arm extends the forearm. this muscle in a professional boxer exerts a force of 1495 n with an effective perpendicular lever arm of 2.10 cm , producing an angular acceleration of the forearm of 125.0 rad / s2 . what is the moment of inertia of the boxer's forearm?
The moment of inertia of the boxer's forearm that has an angular acceleration of 125.0 rad / s² is 0.25 kg m²
τ = F * ⊥d
τ = Torque
F = Force
⊥d = Perpendicular distance
F = 1495 N
⊥d = 2.1 cm = 0.021 m
τ = 1495 * 0.021
τ = 31.395 N m
τ = I α
I = Moment of inertia
α = Angular acceleration
α = 125 rad / s²
I = τ / α
I = 31.395 / 125
I = 0.25 kg m²
Therefore, the moment of inertia of the boxer's forearm is 0.25 kg m²
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two runners are jogging around a circular track with the same angular velocity. one runner is jogging with a speed v1 at a radius of 15 m and the second is jogging at a speed v2 at a radius of 18 m. what is the ratio of their linear speeds, v2/v1?
5:6 is the ratio of linear speed of two runners in jogging. The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time.
What is velocity?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The speed of the person one at the radium is v1=15
The speed of the person two at the radium is v2=18
The ratio be 15:18 , The 15 and 18 are the common multiple of 3
Therefore 5:6
The rate at which an object's position changes in relation to a frame of reference is known as its velocity, and it depends on time. A specification of a thing's speed and direction of motion is what velocity is.
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a plane electromagnetic wave has an average power per unit area of 153 w/m2 . a flat, rectangular surface, 18.2 cm by 45.1 cm, is placed perpendicular to the direction of the plane wave. if the surface absorbs half the energy and reflects half, calculate the net energy absorbed in 1.22 min. answer in units of j.
Knowing the power of the units and the electromagnetic waves is necessary to calculate the net energy unit.
What is power?
Power is the work completed in a given amount of time or time spent working. The joules per second (J/s)-based SI power unit is the Watt (W). Horsepower (hp), roughly equal to 745.7 watts, is sometimes used to describe the power of machines like motor vehicles.
What are electromagnetic waves?
Magnetic and electric fields vibrate together to produce electromagnetic waves, also known as EM waves. In other words, oscillating magnetic and electric fields make up electromagnetic waves (EM).
P=I*A=t=E/t
E=I*A*T
I= 153W/M^2
A=18.2*45.1*10^-4
A=0.082082
t=1.22mins = 1.22*60^S
t= 73.2
applying the formula E=I*A*T
E= 919.2855j
Therefore, the net energy absorbed in 1.22 min is 919.285j.
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a motorcycle has a constant speed of 25.0 m/s as it passes over the top of a hill whose radius of curvature is 126 m. the mass of the motorcycle and driver is 342 kg. find the magnitudes of (a) the centripetal force and (b) the normal force that acts on the cycle.
The centripetal force on the motorcycle at the top of the hill is 1696.42 N and the normal force is 1723.57 N.
The speed of the motorcycle is 25 m/s and the mass of the motorcycle is 342 kg and the radius of curvature of the hill is 126m.
(a) The centripetal force on any curvature is given by,
F =MV²/R
Where,
F is the centripetal force,
M is the mass of the motorcycle,
R is the radius of curvature of the hill,
V is the speed at which it is travelling.
Putting all the values,
F = 342 x 25 x 25/126
F = 1696.42 N.
The centripetal force is 1696.42 N.
(b) At the top of the hill, the centripetal force and the normal force will be away from the ground and in opposite direction of the weight of the motorcycle,
N = W- F
W is the weight,
F is centripetal force and N is the normal force.
Putting values,
N = 3420 - 1696.42
N = 1723.57N.
The normal force is 1723.57 N.
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A ball released from the tree top if a height of 45m. How long does it take to reach the ground?
The ball will take 45 seconds to reach the ground.
U=0(since ball is dropping)
So, we have to find t=?
Given
a=-9.8m/s
S=45m
As we know,
S=ut+1/2at^2
so,
t^2=45×90/2
hence
t=45s.
so the time taken is 45 seconds.
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a rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. how many seconds later does the rock hit the ground?
A rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. It will take 0.15 seconds to hit the rock ground
height = displacement = 1.20 m
initial speed = u = 7.54 m/s
final speed = v = 0
time = ?
Using kinematic equation
s = u*t + 1/2 * g * [tex]t^{2}[/tex]
1.20 = 7.54 t + 1/2 * 9.8 * [tex]t^{2}[/tex]
= 4.9 [tex]t^{2}[/tex] + 7.54 t - 1.20
t = 0.15 seconds
It will take 0.15 seconds to hit the rock ground
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way?
27. What is the average acceleration of the Blue Flame speed car if its initial velocity is 1000 km/h and it
comes to a complete stop in a distance of 2.0 km?
Answer:
Explanation:
Given:
V₀ = 1 000 km/h = 1 000 000 m / 3 600 s ≈ 280 m/s
V = 0 m/s - the Blue Flame car stopped
D = 2.0 km = 2 000 m - distance
________________________________
a - ?
D = (V₀² - V²) / (2·a)
Acceleration:
a = (V₀² - V²) / (2·D)
a = (280² - 0²) / (2·2000) ≈ 20 m/s²
which combination of neurological imaging techniques contains two methods that utilize magnetic imaging?
MRI and FMRI are the combination of neurological imaging techniques contains two methods that utilize magnetic imaging.
A magnetic field and radio waves produced by a computer are used in the magnetic resonance imaging (MRI) medical imaging procedure to provide precise images of the organs and tissues inside your body.
Large, magnetized tubes are the common shape of MRI equipment. The magnetic field briefly realigns water molecules in your body as you lie within the MRI machine. To produce cross-sectional MRI pictures, which resemble the slices of a loaf of bread, radio waves induce these aligned atoms to emit tiny signals.
Your doctor can evaluate your organs, tissues, and skeletal system with an MRI without performing any intrusive procedures. It generates detailed images of the body's.
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The pilot of a plane measures an air velocity of 45.8 m/s south relative to the plane. An observer on the ground sees the plane pass overhead at a velocity of 40.3 m/s toward the north. What is the velocity of the wind that is affecting the plane relative to the observer?
a) 5.6 m/s to the north
b) 5.6 m/s to the south
c) 45.8 m/s to the north
d) 86.1 m/s to the south
The velocity of the wind that is affecting the plane relative to the observer is 5.5 m/s north.
Option A is the correct answer.
What is the velocity of the wind relative to the observer?
The velocity of the wind relative to the observer is the velocity of the wind measured from the observer as a frame of reference.
The relative velocity of the plane from the observer as the frame of reference is calculated as follows;
Vr² = Vp² + Vw²
where;
Vr is the relative velocity of the planeVp is the plane's velocity Vw is the velocity of the windThe given parameters;
velocity of the plane, Vp = 45.8 m/svelocity of the wind, Vw = 40.3 m/sVr² = Vp² + Vw²
Vr = √(Vp² + Vw²)
Vr = √(45.8² + 40.3²)
Vr = 61 m/s
The velocity of the wind that is affecting the plane relative to the observer is calculated as follows;
Vo = 45.8 m/s north - 40.3 m/s south = 5.5 m/s north
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if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
oceanography :
The study of all aspects of the ocean is known as oceanography. Oceanography includes a wide range of topics, including marine life and ecosystems, currents and waves, sediment movement, and seafloor geology.average wavelength of open ocean, l = 140 meters
time period, t = 10 seconds
speed of the train is calculated as :
140/10 = 14m/s
speed of train = 14m/s
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
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A dog pulls on a pillow with a force of 5.6 N at an angle of 39 degrees above the horizontal. Assume the x-axis of a reference frame is along the horizontal and the y-axis is along the vertical. Find the x and y components of the force.
1. The x component of the force is 4.4 N
2. The y component of the force is 3.5 N
How do I determine the components of the force?The following data were obtained from the question:
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?y component =?1. How to determine the x component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesx component =?x component = FCosθ
x component = 5.6 × Cos 39
x component = 4.4 N
2. How to determine the y component
Force applied (F) = 5.6 NAngle (θ) = 39 degreesy component =?y component = FSineθ
y component = 5.6 × Sine 39
y component = 3.5 N
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A 1.5 kg ball is dropped so that is is traveling at a velocity of -27 m/s when it hits the ground. If the ball rebounds upward with the same speed, what is the change in momentum of the ball?
Answer:
The change in momentum of the ball = 81 kg·m/s
Explanation:
Given:
m = 1.5 kg
V₁ = - 27 m/s
V₂ = + 27 m/s
____________
Δp - ?
The change in momentum of the ball:
Δp = m·ΔV
Δp = m· (V₂ - V₁) = 1.5·(27 - (-27)) = 1.5·(27 + 27) = 81 kg·m/s
How does the Schrödinger model differ from the Bohr model of an atom?
A) It shows a heavy, positively charged nucleus.
B) It shows electrons scattered throughout a positive material.
C) It shows electron orbitals as regions of space.
D) It shows negatively charged particles in the nucleus
The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.
What is the Bohr model?In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.
However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.
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a 1.5 m -long fm antenna is oriented parallel to the electric field of an em wave. part a how large must the electric field be to produce a 1.00-mv (rms) voltage between the ends of the antenna? express your answer using two significant figures.
The electric field must be this large, 67*10^-5 Volts / meter, to produce a 1.00mV voltage between the ends of the antenna that is 1.5m long.
It can be considered as an electric property assosicated with each point in the space where a charge is present in any form. Electric field is by definition the force per unit charge, so that multiplying the field times the plate separation gives the work per unit charge, which is by definition the change in voltage.
How to calculate how large must the electric field?
Electric field = Voltage / length
= 1 x 10^-3 volts / 1.5 meters
= 67 * 10^-5 Volts / meters (rounded)
The electric field should be this large 67*10^-5 Volts / meter to produce 1mV voltage between the ends of the antenna that is 1.5m long.
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Element E is in group 1A and element D is in group 6A they form an ionic compound. What is the formula for this compound
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What would be the weight of an astronaut of the gravitational attraction has been reduced by 1/10 of earth's gravitational attraction?
Answer: 20
Explanation: Because if you divide the astronauts weight by 10.
You throw a ball straight forward with a velocity of 20
m/s, from a height of 1 meter. How far will it be when it hits the ground after 0.45 seconds?
The ball will continue to advance at a speed of 2.0 m/s once it rolls off the edge of the table until it lands on the ground after 0.45 seconds.
Why do we do it?The ball is behaving just like it has been dropped. Nature is unconcerned by the fact that it is also advancing.
D=1/2gt2 and T=√2d/g
By entering the table's height and the gravitational acceleration, we can calculate the time in seconds:
t= √2(1.5m)/9.8m⋅s−2 = 0.553s
So, for a little bit longer than a half-second, the ball will be in the air (and thus able to move ahead). To find the distance travelled, we simply reverse the speed equation, s=dt, and insert in the speed and time:
d= 20m/s(0.553s)= 1.11m
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an outboard motor for a boat is rated at 35 hp. if it can move a particular boat at a steady speed of 35 km/h, what is the total force resisting the motion of the boat?
The total force resisting the motion of the boat will be 26850.6 Newton when an outboard motor for a boat is rated 35 hp.
What is force and what is the total force resisting the motion of the boat?Force is the quantity which is technically the product of mass and acceleration .Here the question is about a boat which is rated at 35 hp and speed of 35 km/h and the force resisting the motion of the boat is asked.Putting the formula P = F x v , that is power equals force multiply speed we can calculate the speed.F= P/V , converting power to watt , 35 hp= 35 x 745= 26,075 watt of the power used.Now converting speed into m/s , 35 km/hr = 35 x 5/18 = 9.7 m/s and then diving power and speed , 26075/ 9.7 = 26850 N.To know more about force visit:
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