Acceleration : a. F=ma, mg cos(90°-θ)= ma, g cos (90°-θ)= a, g sin(θ) = a, g sin(30°)= a
b. v= u+(a*t), u=0, v= (a*t), v= ( g sin(30°) * 15 ).
What is Acceleration?
If an object's velocity changes, it is said to have been accelerated. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.
Therefore, the acceleration and velocity are solve.
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you need to design a 60.0-hz ac generator that has a maximum emf of 5145 v. the generator is to contain a 160-turn coil that has an area per turn of 0.94 m2. what should be the magnitude of the magnetic field in which the coil rotates?
The magnitude of the magnetic field that is required in which the coil should rotate in order to produced required EMF is 0.09T.
The EMF induced in a rotating coil is given by the relation,
E = NBA(2πf)
Where,
E is the EMF induced,
N is the number of turns,
B is the magnetic field,
A is the area of the coil,
f is the frequency of the generator.
The frequency is given to be 60Hz, the EMF induced is 5145V, the number of coils is 160 turns and the area of the coil is 0.94m², putting the values,
5145 = 160 x B x 0.94 x 2 x 3.14 x 60
B = 0.09 T.
So, the magnitude of the required magnetic field is 0.09T.
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What happens to the energy in a system of magnets when the magnetic force causes two magnets to move?.
When the two magnets are made to move, the energy of the system in the system tends to change potential energy into the kinetic energy
Potential energy is the energy stored in the body while is at rest which would turn into kinetic energy when the object will initiate motion. This conversion of potential energy to kinetic energy is understood by the Work-Energy theorem. The kinetic energy is formulated as,
K.E. = 1/2 mv²
where K.E = Kinetic energy
m = mass of an object
v = velocity of the object
The work-energy theorem is stated as the products of all the forces acting on the system are equal to the difference in kinetic energies.
∑W = ΔK.E
where W = Work done on the system
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Fill in the information below using the knowledge you just learned of the periodic table.
1. What is the name of this element?
2. What is the atomic number of this element?
3. What is the atomic mass of this element?
4. What is the symbol for this element?
is there a way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet?
Slewing the aircraft at low altitude is the only way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet. These are the traditional aircraft variety.
If you fly at high altitude in an aircraft which is not pressurized (or with wrong pressurization settings), the cockpit and external views will darken and then go black. If it happens, try slewing the aircraft at low altitude (<10.000 ft) and see if the image reappears after a while.
An aircraft is a vehicle or machine that is able to fly by gaining support from the air and has cockpit. It counters the force of gravity by using either static lift or by using the dynamic lift of an airfoil, or in a few cases the downward thrust from jet engines.
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two different capacitors, both charged to 1.5v by the battery, which will cause the light to stay lit longer, the one with the larger or smaller capacitance? explain what you did and observed to answer this question.
The capacitor with a larger capacitance will allow the bulb to remain lit for a longer period of time as compared to the capacitor with a smaller capacitance. We first created the largest capacitance by decreasing the separation and increasing the area and connected it to 1.5 V.
We then disconnected it and connected it to the bulb and observed how it was glowing. Then we obtained the lowest capacitance by increasing the separation and decreasing the area and again connected it to 1.5 V. Again, we disconnected it and connected it to the bulb and observed how it was glowing.
If you place a capacitor in a circuit containing a light bulb and a battery it will first charge the capacitor, and during that charge a non-zero current will flow through the circuit, lighting the light bulb. Capacitors can carry more current as the frequency of the supply voltage increases. As we have seen, alternating current can flow through a circuit with capacitance. The apparent resistance of a capacitor in an AC circuit is less than its DC resistance.
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a 60-kg uniform board 2.4 m long is supported by a pivot 80 cm from the left end and by a scale at the right end. how far from the left end should a 40-kg child sit for the scale to read zero?
Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.
Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)
0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)
Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:
mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392
when Force = 100 N
note 1.6Force = 160 235.2 (0.80 -x)
160 + 392(0.8 - x) = 235.2
x = 0.61 m
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The equalizing temperature changes in response to changes in external forces of the boundary conditions of climate. What is this about?.
Answer:
It's climate sensitivity.
A meteor is observed to explode in the sky.
A third of a minute later a "boom" is heard.
Knowing sound travels at 300 m/sec,
how far away did it break up?(in meters)
Answer:
Explanation:
Given:
t = (1/3) min = (60/3) s = 20 s
V = 300 m
_______________________
D - ?
Distance:
D = V·t
D = 300·20 = 6 000 m
a 1,400 kg airplane encounters a 200 n headwind that slows it down. if the airplane was originally traveling 230 m/s, how long (in s) will it take the headwind to slow the airplane to 120 m/s?
A 1,400 kg airplane encounters a 200 newton headwind that slows it down. if the airplane was originally traveling 230 m/s . It take 12 minutes for the headwind to slow the airplane to 120 m/s
Force = mass * acceleration
- 200 N = 1400 * ( change in speed / time interval )
- 200= 1400 * (120 - 230 / time )
-200 = 1400 * ( -110 / time )
time = 770 seconds = 12 minutes
It take 12 minutes for the headwind to slow the airplane to 120 m/s
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what would happen if you strike the pipe with supports placed at the nodes for the first vibration mode
If you strike the pipe with supports placed at the nodes for the first vibration mode, you will experience a vibration that has a frequency of about 5 Hz.
The amplitude of this vibration will be approximately 1.5 mm and it will occur in a single direction. This means that the pipe will vibrate up and down, but not side to side.
The vibrations caused by striking the pipe will not last very long. In fact, they are only likely to last for about 0.1 seconds before they disappear entirely. They may also cause damage to nearby objects like walls or furniture if they are located too close to where you strike the pipe.
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an air-filled parallel-plate capacitor has a capacitance of 1.5 pf. the separation of the plates is doubled and wax is inserted between them. the new capacitance is 3.0 pf. find the dielectric constant of the wax.
The dielectric constant of the wax is 2.
The dielectric constant of wax is the ratio of the capacitance of a capacitor that has wax between its plates to its capacitance when there is no wax between its plates.
This can be calculated by first finding the total capacitance of the capacitor with wax in between it:
C = 2 * pf * (0.5cm)^2
= 1.5 pf
Then, we can calculate the change in capacitance:
C' = C - C
= 2 pf * (0.5cm)^2 - 1.5 pf
= 0.5 pf
Finally, we divide 1/0.5 to find C'/C = 2, so we conclude that the dielectric constant for wax is 2, or twice as large as air's dielectric constant of 1!
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when a mass m1is placed on top of a spring and allowed to come to rest, the spring iscompressed by an amount x1. how much would the spring compress if it is an elevatoraccelerating upwards at 3g and has a mass of 4m1placed on top of the spring?a)16x1b)12x1c)4x1d)7x1e)8x
The spring compresses if it is an elevator accelerating upwards at 3g is Option A. a)16x
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
Gravitational acceleration = g
Spring constant of the spring = k
Mass of the first block = m1
Compression of the spring due to the first block = X1
m1g = kX1
Mass of the second block = 4m1
Upward acceleration of the elevator = 3g
The force from the spring on the second block = F
Compression of the spring due to the second block in the elevator = X2
From the free-body diagram of the 4m1 block,
(4m1)(3g) = F - 4m1g
F = 16m1g
kX2 = 16m1g
kX2 = 16(kX1)
X2 = 16X1
Compression of the spring due to a 4m1 block placed on it in an elevator accelerating upwards at 3g = 16X1.
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to what maximum height can water go as it goes into a 3.19-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 30.5 l/s? ignore drag, and assume that the nozzle points straight up.
Bernoulli's equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is given as follows: p + 1 2 ρ v 2 + ρ g h = c o n s t a n t.
An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply a force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it. The science of fluid mechanics examines how fluids—including liquids, gases, blood, and plasma—behave both at rest and while moving. There are numerous uses for fluid mechanics in astrophysics, chemical and mechanical engineering, and biological systems.
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Can a spectrophotometer be used to measure the absorption of a particular wavelength of light that is not visible to the human eye?.
Yes, a spectrophotometer can be used to measure the absorption of a particular wavelength of light that is not visible to a normal human eye.
Even though we can't directly perceive this light's absorption, it can be quantified. We may calculate concentration by using a spectrophotometer, which detects the absorption of light at particular wavelengths (whether visible or not) by a solution. The number of chemicals in a solution or the amount of light absorption may be measured using the common and affordable method of spectrophotometry.
Each substance in the solution either absorbs or transmits light over a certain wavelength when a light beam is directed through the sample. Combining them with colored derivatives that are visible and measurable. Another is that colorless substances typically absorb light from the part of the spectrum that is invisible to the unaided eye, as measured by a spectrophotometer.
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In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table
shows the relationship between the acceleration and the acting force.
Acceleration (m/s²)
Force (N)
1.2
0.7
1.6
4.8
2.8
6.4
Which phrase best describes a graph that would represent the relationship shown in the table? (1 point)
an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
Answer: an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis
just took the test
an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the X-axis best describes a graph that would represent the relationship shown in the table
What are the features of graph ?A graph is represented as pictorial form the of data or numeric values in an organized manner which enables user to represent large amount of data in visual form.
There are 2 types of questions and the features of graphs are interpretation of given graphs or selecting a graph based on a verbal description.
The bar graphs are the most common type of graph, other graphs are dot plots, histograms, line graphs and scatterplots.
A Bar Graph is represented as the graphical display of data using rectangular bars of different parameters like heights, The structure can be represented in the y axis contains values, and the x axis contains categories or time periods.
A dot plot is a simple graphical representation which shows the frequency with which items appears in a data set and present data on the x axis.
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Two projectiles of mass and are fired at the same speed but in opposite directions from two launch sites separated by a distance . they both reach the same spot in their highest point and strike there. as a result of the impact they stick together and move as a single body afterwards. find the place they will land.
Two projectiles of mass and are fired at the same speed but in opposite directions from two launch sites separated by a distance, will land at a place x = D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)}
This is calculated using the conservation of linear momentum in the horizontal direction as ,
(vm₁vₓ₁ - m₂vₓ₁ ) ₓî = (m₁ + m₂) vₓ₂ ₓî
vₓ₂ = {(m₁ - m₂) / m₁ + m₂)} × vₓ₁
vₓ₂ = {(m₁ - m₂) / m₁ + m₂)} × v Cos Θ
t max = vₓ₁ / g
= v Sin Θ / g
x =(D / 2) + vₓ₂t max
= (D / 2) { {(m₁ - m₂) / m₁ + m₂)} × v² Sin Cos Θ / g } ------ (1)
now,
D = 2 vₓ₁vₓ₂ / g
D / 2 = v² Sin Cos Θ / g
From equation (1) we get,
x = D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)}
Hence , D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)} is the place they will land.
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how does the frequency of the transverse wave change as it moves into a new medium, from a gas to a liquid?
Transverse waves cannot be formed in liquids or gases because they lack the ability to bend their shape. Transverse waves include, for instance, light waves.
What is Transverse wave?Transverse waves are a particular sort of wave motion where the particle movement is perpendicular to the direction of wave propagation. Both the surface of liquids and solids can produce it.A traveling wave whose oscillations are perpendicular to the wave's direction is said to be transverse. By fastening one end of the string and moving the other up and down, you can easily make a wave on a horizontal piece of string.Because the particles move in a direction that is opposite to the direction of the wave, this sort of wave is given its name. Transverse waves may be electromagnetic or mechanical in nature. A disturbance that moves through a medium is called a mechanical wave.To learn more about Transverse wave refer to:
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Protons carry ___ compared to electrons.
A) an equal magnitude of charge
B) more magnitude of charge
C) less magnitude of charge
Pick ONE only.
Answer:
Explanation:
Protons carry an equal magnitude of charge compared to electrons.
A) an equal magnitude of charge
Protons carry an equal magnitude of charge compared to electrons. Thus, option A is correct.
A proton is a stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of the opposite sign.
An electron is a stable subatomic particle with a negative electric charge, found in all atoms, and acts as the primary carrier of electricity in solids.
Although the mass of a proton is much larger than that of an electron, the magnitudes of their charges are equal.
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a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? more than 30 j less than 30 j exactly 30 j
Thus, more than 30 J of potential energy can be loosed by the ball. Thus, the gravitational potential energy of the ball is more than 30 J.
If there is no air resistance, the ball's potential energy is entirely transformed into kinetic energy. When air resistance is taken into account, a portion of the potential energy is used to overcome it. Thus, AU > AKE. In the current scenario, a ball gains 30 J of kinetic energy while falling and is treated as encountering air resistance. The energy that an object retains due to its position in relation to other objects, internal stresses, electric charge, or other factors is known as potential energy in physics. The potential energy will be transformed into kinetic energy if the stones fall. High on the tree, branches have the potential to fall, which gives them energy. Chemical potential energy exists in the food we eat.
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If you have a Corvette with a mass of 1,054 kg and a velocity of 48m/s, find the kinetic energy in J.
Kinetic energy of Corvette with a mass of 1,054 kg and a velocity of 48m/s is 12,14,208 J
What is kinetic energy?Kinetic energy is a type of power that an item or particle possesses as a result of motion. An object accelerates and acquires kinetic energy when it undertakes work—the transfer of energy—by being subjected to a net force. Kinetic energy is one of the properties of a moving object or particle, which depends on both mass and speed. The type of motion can be any combination of vibration, rotation on an axis, and translation (or transit along a path from one spot to another).
A body's translational kinetic energy is equal to 1/2mv2, or one-half of the product of its mass, m, and square of its velocity, v.
Here,
m = 1,054 kg
v = 48 m/s
KE = ?
KE = 1/2 mv²
KE = [tex]\frac{1}{2}[/tex] × 1054 × 48²
KE = 0.5 × 1054 × 2304
KE = 12,14,208 J
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light of wavelength 633 nm is incident on a narrow slit. the angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.20 degrees. what is the width of the slit?
When ray estimation of geometric optics cannot be used, wave optics—also known as physical optics—is concerned with the study of numerous phenomena like polarization, diffraction, interference, and other occurrences.
wavelength of light = 633 nm = 633*10-9 m,
the angle θ = 1.20 / 2 = 0.6
condition for diffraction minimum,
d sin θ = mλ
for first minimum n = 1
d sin θ = λ,
and as a result,
slit width d = λ / sinθ = (633*10-9 m) / sin0.6 = 6.04×10 −5m
The various wave optics kinds are:
Coherent and Incoherent Wave AdditionDiffraction.The Huygens Rule.Young's Experiment with Light Wave Interference.Polarisation.Using the Huygens principle, plane waves can be refracted and reflected.To know more about wave optics, click on the link below:
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which has a greater luminosity, a star with absolute magnitude -2 or a star with absolute magnitude 13 ?
The total amount of energy that a star emits each second is measured by its luminosity.
What is Luminosity and magnitude?Some stars are noticeably brighter than others as one looks up at the night sky above the Earth. A star's brilliance, however, is influenced by its makeup and distance from the planet.A star's apparent magnitude, or how bright it appears to be from Earth, and absolute magnitude, or how bright it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe star brightness. (Light travels approximately 6 trillion miles (10 trillion kilometers) in a year, or one light-year.) A star's brightness, or how much energy (light) it radiates from its surface, is another quantity that astronomers measure.Although the concept of measuring star brightness is not new, astronomers now use more sophisticated tools to make the calculation.
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suppose a car travels at a constant 10 m/s. how far would it move in 1 hour? in 1 minute? in 1 second? in 1 millisecond? in 1 microsecond? in 1 nanosecond?
Suppose a car travels at a constant 10 m/s.
using d = vt
v = 10m/s.
t d
1 hr= 3600s 3.6x [tex]10^{4}[/tex]m
1 min = 60s 6.0x [tex]10^{2}[/tex]m
1s 10m
1ms = [tex]10^{-3}[/tex] s 10 x[tex]10^{-3}[/tex]m = 10mm
1μs = [tex]10^{-6}[/tex]s 10x [tex]10^{-6}[/tex]m = 10μm
1ns = [tex]10^{-9}[/tex]s 10x [tex]10^{-9}[/tex]m = 10 nm
What is constant?something immutable or unchangeable: eg; a number having a definite value in a particular situation or universally, or a characteristic of some substance or instrument. : a number that is expected not to change value in a given mathematical discussion a term with fixed notation in logic.
A constant can be defined as a fixed value used in algebraic expressions and equations. A constant does not change over time and has a fixed value. For example, the size of a shoe, fabric or any accessory does not change at any time.
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What type of mirror is being used in the image?
A. Plane
B. Concave
C. Convex
Answer:
b) Concave mirror
Explanation:
The type of mirror being used in the image is concave mirror. Dentist always use concave mirror to see patient's teeth. Hence, the option (b) is correct answer.
Answer: b or
✔ concave
Explanation:
the systems shown are in equilibrium. if the spring scales are calibrated in newtons, what do they read?
Newton's first law states that an object at rest will remain at rest, and an object in motion won't change its velocity while the equilibrium condition is met.
When a system is in equilibrium then?When Newton's first law is true, the thing is in its equilibrium condition. When all external forces acting on an object (including moments) are balanced, that object is said to be in equilibrium in the reference coordinate system. This indicates that all external forces and moments acting on this item have a net effect of zero. When an object is at rest or moving with a constant speed in a reference coordinate system, respectively, they are said to be in static equilibrium and dynamic equilibrium.The inertial force produced by the velocity change can be measured by multiplying the mass with the translational acceleration or the mass moment of inertia with the angular acceleration.To Learn more About Newton's first law refer to :
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what is the direction of the frictional force exerted on a coffee cup being pulled to the right across a table?
To the left. When a force is applied to stop it from moving, frictional force provides resistance.It always moves in the opposite direction of an item in motion
What is meant by frictional force?When a force is applied to stop it from moving, frictional force provides resistance.As a result, it always moves in the opposite direction of an item in motion.Friction acts on the right when force is applied to the left. The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.The following variables impact the frictional force:Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.A force that is applied to an object by a person or another object is known as an applied force.A desk is being subjected to applied force if someone is pushing it across the room.The person's force applied to the desk is known as the applied force.To learn more about frictional force refer
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suppose i produce radio waves with an antenna that have a peak electric field amplitude e and peak magnetic field amplitude b. if i were to double the amplitude of the electric field (i.e. double e) what is the new value for b?
The formula for the relationship between the electric and magnetic fields is:
E = cB
As the amplitude of the electric field is precisely proportional to the magnetic field, the magnetic field will also double in size when the amplitude of the electric field doubles.
Radio waves typically operate at frequencies between 300 gigahertz and below, where the longest wavelengths of the electromagnetic spectrum are found. At 300 GHz, the corresponding wavelength is 1 mm; nevertheless, at 30 Hz, it is 10,000 kilometers.
A magnetic field, a vector field that affects an electric charge, an electric current, and magnetic materials magnetically. In a magnetic field, a moving charge experiences an external force that is perpendicular to the magnetic field and has its own velocity.
The maximum electric and magnetic field strength is known as the amplitude in electromagnetic waves. The wave amplitude determines the energy of the wave. Similar to how waves themselves move, the energy density also follows the electric and magnetic fields.
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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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a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second. how fast is the stomp rocket rising at that moment?
Using the concepts of pressure, we find that 625m[tex]s^{-1}[/tex] is the speed of the stomp rocket rising at that moment when it is watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second.
We know that when an object is very far away, at the centre of that object there is an angle enclosed by the observer and that is given
angle=(length of arc)/radius of the arc.
θ=l/r
So, we are given that length of arc is 500 metres and angle is 0.4 radians/sec.
So,=>0.4=500/r
=>r=500/0.4
=>r=1250m
Now we are given the time when it is observed i.e. is 2 seconds.
So, we apply distance speed formula.,
which is Distance=Speed × Time
=>1250=Speed×2
=>Speed=1250/2
=>Speed =625m[tex]s^{-1}[/tex].
Hence, when a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, and the angle of elevation is the angle is increasing at a rate of 0.4 radians per second, the speed of stomp rocket is 625m[tex]s^{-1}[/tex].
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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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