An instrument called a profilometer is used to gauge a surface's profile and surface finish.
What is a Profilometer & Why is it Used?A profilometer is a tool used to gauge a surface's profile and polish. Surfaces on a small scale can be made up of a series of peaks and valleys that vary in height, depth, and spacing. The surface's ability to create a seal, look glossy or matte, feel smooth or rough, or be used as a wear surface depends on minute variations in these characteristics. Surface roughness or surface finish specifications are frequently specified on technical drawings in industries that manufacture mechanical parts, and profilometers are used to confirm that the specifications have been met.The method of profilometry is used to extract topographical information from a surface.To Learn more About profilometer refer to :
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An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
The net force on the airplane is 420 N.
What is force?An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. Newton is the SI unit of force.
Given parameters:
Force of the airplane, F = 800 N.
Force of air resistance, f₁ = 40 N.
Wind force, f₂ = 60 N.
Net force = ?
According to the question, wind force and force of air resistance are acting opposite direction. As, force of air resistance always acting opposite to the direction of plane flying, wind force is acting along the direction of plane flying.
Hence, net force = F - f₁ + f₂
= ( 800 -40 + 60) N.
= 820 N.
So, net force acting on the plane is 820 N.
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what is the diameter of an aluminum sphere with the same mass as 26 l of water? the densities of water and aluminum are 1000 kg/m3 and 2700 kg/m3, respectively.
Diameter of the aluminum sphere is 2.83m.
Mass of aluminum =26l
Density of the aluminum=2700 kg/m3
Mass of water=26l
Density of water=1000 kg/m3
Density is defined as the mass per unit volume. In an object material is tightly packed. This explain how tightly a material is packed together.
Density= M/V
V=M/density
= 26l/2700kg/m3= 9.6m3
Volume of the sphere is the space occupied by the sphere. This is the amount of air or space that a sphere held in it. It is denoted by the symbol V. The straight distance between the side of the sphere is called diameter. It is denoted by d. It is measured by cubic units.
Putting the values in the expression of volume of the sphere,
V= π/6 .d3
9.6m3 = π/6 .d3
d3 =9.6m3 .6/3.14=18.34 m3
d= 2.83m
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Gravitational potential energy is the potential energy of an object based on its.
Based on an object's separation from the Earth, gravitational energy is potential energy that can be stored there.
What is an example of gravitational energy in action?A straightforward device that converts gravitational potential energy into kinetic energy and back again is the pendulum. The bob has no kinetic energy when it is at the top of its swing, but it has a maximum gravitational potential energy. Gravitational potential energy is converted to kinetic energy as the bob swings downward, causing it to accelerate.The bob has its highest kinetic energy and lowest gravitational potential energy near the bottom of its swing.The bob's kinetic energy is converted back into gravitational potential energy as it swings higher. It again has no kinetic energy at the height of its swing, but its gravitational potential energy is at its highest.Additional examples include: water in a dam, a huge boulder perched precariously on a precipice, roller coasters, and a skateboard perched atop a ramp.To Learn more About gravitational energy refer to :
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light that is polarized along the vertical direction is incident on a sheet of polarizing material. only 67% of the intensity of the light passes through the sheet. what angle is the axis of the polarizer oriented, with respect to the vertical?
125.06⁰angle is the axis of the polarizer oriented, with respect to the vertical
given,
Only 67.0% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. No light passes through the second sheet.
for the first sheet we have malus law as
I =I₀cos²θ₁
here(given)
I/I₀ = 0.67
so cos²θ₁ =0.67
θ₁ = cos⁻¹√(0.67)
= 35.06⁰
which is the angle the first sheet makes with transmission axis
here given no light passes through the second sheet i.e. both the sheets are in crossed position
so the angle the transmission axis of the second sheet makes with the vertical is
θ₂ = θ₁ +90⁰
=35.06 + 90⁰
=125.06⁰
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what minimum height must the sides have for this boat to float in perfectly calm water? mastering physics
The height is 0.32788meters or 31.78 cm.
According to the principle of buoyancy, the weight of a floating body equals the weight of the liquid displaced by its submerged part. Therefore, the ship can float on water. Because its weight is equal to the weight of the water you are trying to displace. Each float displaces the swimming liquid by its own weight. Just like a ship floats freely in the water.
The weight of the container must equal the weight of the volume of water displaced by the container. Displacement is the amount of water a ship displaces. If the buoyancy equals the object's weight, the object will remain buoyant at the current depth. Buoyancy always exists whether an object is floating, submerged, or floating in a liquid. When the boat floats, its weight equals the weight of the volume of water displaced.
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A 0. 0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89. 0 n on the arrow over a distance of 0. 782 m, with what speed does the arrow leave the bow?.
40.47 m/s is the speed at which the arrow departs the bow.
Does velocity not depend on gravity?
An object's horizontal velocity is constant for small displacements and operates independently of the vertical force of gravity. The horizontal and vertical halves of an object that is projected at an angle to gravity can also be separated. The force of gravity has no impact on the horizontal velocity component either.
The arrow will start moving and accelerating as soon as it is let go from the bow. The arrow obeys the second law of motion, according to Newton. The method
m = mass of the arrow (kg) = 0.0850 kg
a = acceleration of the arrow (m/s²)
F = force (N) = 89.0 N
F=m*a
a = 1,047.059 m/s²
When an object accelerates, it will travel in a non-uniform manner. The method
[tex]v^{2} = v_{0} ^{2} +2*a*d[/tex]
= 40.47 m/s
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Calculate the efficiency of a machine that requires 20 J of input work to do 10 J of output work. What is the efficiency of the machine? (in percent, but write the number only)
The efficiency of a machine that requires 20 J of input work to do 10 J of output work. The efficiency of the machine η = 50 %
The engine efficiency is defined as ratio of the useful work done to the heat provided.
By using the formula for efficiency of a machine and substituting the values in it, we get :
η = (Wo/Wi × 100)%
η = (10/20 × 100)%
η = 50 %
The efficiency of the machine will be η = 50 %
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a father uses a rope to pull a child on a sled at a constant speed. of the ones listed which forces are present?
When father uses a rope to pull a child on a sled at a constant speed then the sum of all the forces acting on sled is zero.
What are the forces present while pulling a child on sled using rope?Forces such as normal force, force of gravity, force of friction, tension and air resistance are present.
But as the father pulls the sled with constant speed then the the sum of all the forces acting on the sled becomes zero.
As there is no movement in upward or downward directions then the weight of the child and the sled is equal to the normal force acted upon the sled by ground.
The force which is applied by the father on the rope is equal to the tension in the rope.
Friction and air resistance act opposite to the direction of motion of the sled and as sled moves at constant speed, tension in the rope must be equal to the sum of friction and air resistance forces.
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(a) what are the wavelengths of the following frequencies in the am radio band (540-1600 khz)? 560 khz m 1510 khz m (b) what are the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz)?
the wavelength of the following frequencies in the am radio band (540-1600 khz) is 555.55 m,187.5 m
the wavelengths of the following frequencies in the fm radio band (88.0-108 mhz) is 3.409 m,2.7777 m
Wave length λ = c / f
(a). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 540 * 10 ^3 Hz )
= 555.55 m
minimum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 1600 * 10 ^ 3 Hz)
= 187.5 m
(b). Maximum wavelength = ( 3 * 10 ^ 8 m / s ) / ( 88 * 10 ^ 6Hz )
= 3.409 m
Minimum wavelength = ( 3 * 10 ^ 8 m /.s ) / ( 108 * 10 ^6 Hz )
= 2.7777 m
Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire. In wireless systems, this length is typically expressed in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation().
Frequency, or the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing frequency. The pattern of disruption brought on by energy moving through a medium is known as a sound wave.
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A ball with a mass of 4 kg is dropped from a height of 20 m. What is the velocity of the ball just before it hits the ground? g = 10 m/s^2
Taking into account the definition of potencial energy, the velocity of the ball just before it hits the ground is 20 m/s.
Potential energyPotential energy is the energy that a body has at a certain height above the ground.
Gravitational potential energy is the energy associated with the gravitational force and it depend on the height of an object to some reference point, the mass, and the force of gravity.
The expression applied to the gravitational energy of the object is:
Ep= m×g×h
where:
Ep is the potential energy in joules (J).m is the mass in kilograms (kg).h is the height in meters (m).g is the acceleration of fall in m/s².Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
Kinetic energy is represented by the following expression:
Ec = 1/2× m× v²
where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg).v is velocity measured in meters over seconds (m/s).Principle of conservation of mechanical energyMechanical energy is that which a body or a system obtains as a result of the speed of its movement or its specific position.
The principle of conservation of mechanical energy indicates that the mechanical energy of a body remains constant when all the forces acting on it are conservative.
Therefore, if the potential energy decreases, the kinetic energy will increase while if the kinetics decreases, the potential energy will increase.
Velocity of the ballIn this case, you know:
Ep= ?m= 4 kgg= 10 m/s²h= 20 mReplacing in the definition of potential energy:
Ep= 4 kg× 10 m/s²× 20 m
Solving:
Ep= 800 J
Considering the principle of conservation of mechanical energy, the ball has 800 J of gravitational potential energy. As it is dropped, this energy will be converted into kinetic energy. Then:
800 J= 1/2× 4 kg× v²
Solving
800 J= 2 kg× v²
800 J÷ 2 kg= v²
400 m²/s²= v²
√400 m²/s²= v
20 m/s= v
Finally, the velocity of the ball will be 20 m/s.
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In all the cases shown below the velocity vector, v1 and v2 have the same length
The resultant velocity will have largest absolute value when the two velocities are parallel and moving opposite direction.
option B is the correct answer
What is the resultant velocity two vectors?The resultant velocity of two vectors is the single vector that can represent the two vectors effectively in terms of magnitude and direction.
Mathematically, the formula for determining the resultant of two vectors is given as;
R² = v₁² + v₂² - 2v₁v₂cos(θ)
where;
v₁ and v₂ are the two vectorsR is the resultant of the two vectorsθ is the direction of the two vectorsFrom the above formula, the resultant velocity will have largest absolute value when;
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A driver spotted a police car and he braked from a speed of 100km/h to a speed of 80km/h during a displacement of 88m, at a constant acceleration (a) What is that acceleration. (b) How much time is required for the given decrease in speed
Answer:
a = − 1.579 [tex]\frac{m}{s^{2} }[/tex]
b. t = 3.52s
We have velocity in km/hr and displacement in m. Since we have to make a unit conversion, might as well do it so it will yield the answer in the normal (SI) units for acceleration.
u = 100 x [tex]\frac{5}{18}[/tex] = 27.78 [tex]\frac{m}{s}[/tex]
v = 80 x [tex]\frac{5}{18}[/tex] = 22.22 [tex]\frac{m}{s}[/tex]
Using the formula of motion [tex]v^{2} - u^{2}[/tex] = 2*a*d
[tex](22.22)^{2}[/tex] - [tex](27.78)^{2} \\[/tex] = 2 * a * 88
a = -1.579 [tex]\frac{m}{s^{2} }[/tex] = acceleration
Since the acceleration was constant, we can use the average velocity, and the distance to determine the time.
time = [tex]\frac{displacement}{speed}[/tex]
t = [tex]\frac{88}{speed}[/tex]
speed = [tex]\frac{1}{2}[/tex] * (u+v) = [tex]\frac{1}{2}[/tex] * (22.22 + 27.78) = 25[tex]\frac{m}{s}[/tex]
t = [tex]\frac{88}{25}[/tex] = 3.52 s
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The acceleration of the car is equal to -1.58 m/s. The time required for the given decrease in speed is equal to 3.52 s.
What are equations of motion?The equations of motion can be utilized to describe the relationship between the acceleration, velocity, time, and displacement of a moving object.
The equations of motions can be mathematically expressed as shown below:
[tex]v = u + at\\S= ut +\frac{1}{2}at^2\\ v^2-u^2 = 2aS[/tex]
Given, the initial velocity of the police car, u = 100 Km/h = 27.78 m/s
The final velocity of the car, v = 80 Km/h = 22.22 m/s
The displacement of the car, S = 88m
From the third equation of motion: v²- u² = 2aS
(22.22)² - (27.78)² - = 2 × a × 88
a = - 1.58 m/s²
Calculate the time from the first equation of motion: v = u + at
22.22 = 27.78 + (-1.58) × t
t = 3.52 sec
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two parallel plates are separated by 5.0 cm. if the potential difference between the plates is 2000 v, with the top plate at the higher potential, what is the electric field between the plates?
There is a 40000 N/C downward electric field between the plates.
Potential difference between the plates V = 2000 V
Plates separation d = 5 cm = 0.05 m
power source E=V/d
Electric field E=40000 N/C downhill
The electric force per unit of charge is what is meant when we talk about an electric field. It is presumable that the field's direction matches the direction in which a successful test charge would feel force. The physical surroundings of a system of charged particles are also described. Electric fields are composed of electric charges and time-varying electric currents. The electromagnetic field, one of nature's four primary interactions, or forces, appears as both electric and magnetic fields.
In electrical technology, electric fields are used, and significant in many branches of physics. For instance, the attracting force in atomic physics and chemistry is the electric field.
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a small car with mass .800kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00m. if the normal force exerted by the track (point b) is 6.00n, what is the normal force on the car when it is at the bottom of the track (point a)?
The normal force on the car when it is at the bottom of the track is 22 N.
A frame revolves in a vertical circle such that its motion at unique points is one-of-a-kind then the motion of the frame is said to be vertical circular movement. recollect an item of mass tied at one give up of a mass m tied at one stop of an int extensible string and whirled in a vertical radius of radius r.
Calculation:-
At the inside of the track
N + mg = mv²/r
6 + 0.8 × 10 = m (v²/r)
14 = 0.8 ( acceleration)
acceleration = 17.5 m/sec² towards centre.
Again,
a = v²/r
ar = v²
v = √ar
v = √17.5 ×5
= 9.35 m/s²
For Normal force
N = mv²/r + mg
N = 0.8 × 1.75 + 0.8 × 10
= 14 + 8
= 22 N
A frame spins in a vertical circle in such a way that its movement at exclusive factors differs from the frame's motion, which is assumed to be vertical circular motion. keep in mind a mass m item wrapped in a stretchable string at one end and whirled in a vertical circle with radius d.
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if the moon is setting at 6 a.m., the phase of the moon must be if the moon is setting at 6 a.m., the phase of the moon must be waning crescent. first quarter. third quarter. new. full.
Considering that sunrise will be visible at 6 A.m, the moon will be in the full moon phase at that time.
Explain about the Full moon?The line formed by the sun, Earth, and moon occurs when the moon has shifted 180 degrees from its new moon position. It is called a full moon when the moon's disc is as close to being completely illuminated by the sun as it can possibly be.
Waning Crescent is the phase of the Moon for today and tonight. The ideal time to watch this phase is immediately before sunrise in the western sky.
A full moon may also cause a reduction in deep sleep and a postponement of the onset of REM sleep, according to some research. Furthermore, several investigations have revealed a minor alteration in cardiovascular conditions during a full moon. Researchers are still looking at how the moon affects many physiological and psychological processes.
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they are usually present during planet formation and then eventually dissipate. what temperature is the material in this disk at? show your work and explain your reasoning clearly.
A protoplanetary disc, also known as a TTS, is a rotating disc of dense gas encircling a young, recently created star. If the disc is large enough, runaway accretions start, leading to the fast development of Moon- to
Mars-sized planetary embryos in 100,000–300,000 years. The protoplanetary disc, from which planets are (theoretically) generated, is a disc of gas (99% of its mass) and dust (1% of its mass) around a young star.In a sense, the Solar System's "leftovers" can be compared to these debris discs. As the name suggests, asteroids make up the majority of the asteroid belt. Between the orbits of Mars and Jupiter, it can be found in a ring of material.The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion. The planets formed in a thin disc around the Sun, which formed in the center of the solar system.To know more about protoplanetary
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a small truck has a mass of 2095 kg. how much work is required to decrease the speed of the vehicle from 25.0 m/s to 15.0 m/s on a level road?
The vehicle needs to do 515872.5 Joule of labor in order to reduce its speed from 25 m/s to 12 m/s when a small truck has a mass of 2095 kg.
What exactly is speed?
the rate at which the position of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Speed is a scalar quantity because it has no magnitude and only a direction. The SI unit of speed is made up of the fundamental units of time and distance. The speed measurement in the metric system is measured in meters per second. Work is defined as the energy that is moved to or from an item by exerting force along a displacement. It is easiest to express as the product of force magnitude and distance traveled with a constant force acting in the same direction as the motion.
According to the International System of Units, a joule is a unit of work.
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3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.
a. The acceleration of the system is 0.21 m/s^{2}
b. The equation of the force of friction is -
tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and normal force acting on unknown mass .
c. Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.
The unknown mass is nearly equal to 30 kg .
What is acceleration ?
the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead when it accelerates or decelerates, is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
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you pull a box with a constant force of 250 n. it takes you 20 s to move the box 10 m along a rough surface at a constant speed. what power are you transferring to the system of the box and the rough surface?
Your power usage when pulling the box is 125 Watts. It takes 20 seconds to move a box 10 meter's along a rough surface when applying a continuous 250 n force.
Given: force = 250 N; distance = 10 m; speed = distance/time (10/20); speed = 0.5 m/s
W = work completed, where W = 250*10 = 2500 Joules.
Your labour of 2500 J by pulling the box
Thermal energy produced—considering that the box's surface and interior are both made of wood. Therefore, the kinematic friction coefficient is 0.3.
The thermal energy is therefore 75 N
thermal energy = 75*10 = 750 Joules, or thermal energy = force*d
force = mu
force= 0.3*250.
So pulling the Box produces 750 Joules of thermal power.
Power exerted = force* v
= 250*0.5
=125 Watts
so, The power exerted by you while pulling box is 125 Watts.
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why are measurements of the current density of the universe important? the overall density of the universe is the main clue that can allow us to choose between open, closed, and flat models of the universe. the overall density of the universe is the main clue that can allow us to tell where the center of the universe is. the overall density of the universe is the main clue that can allow us to tell whether the universe is isotropic or homogeneous. the overall density of the universe is the main clue that can allow us to tell how quickly the universe is collapsing. need help?
The primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.
What is meant by current density?Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.The total amount of current flowing through one unit of a cross-sectional area is referred to as current density. If the current flow is uniform, it will flow through a particular conductor with the same amount at all of its points, regardless of how the conductor's area changes.The measurements of the current density of the universe important to the primary indicator that can help us distinguish between open, closed, and flat universe models is the universe's overall density.To learn more about current density refer to:
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what would be your best estimate for the normalized ground state wavefunction of the quartic oscillator?
The variational technique is one strategy to approximate the ground state with the lowest energy and some stimulated states in quantum mechanics.
What is variational method principle in quantum mechanics?This makes it possible to calculate approximations of wavefunctions, like molecular orbitals. The variational concept serves as the method foundation. The process entails selecting a "trial wavefunction" based on one or more parameters, then identifying these parameters values that result in the energy expectation value being as low as possible. By setting the parameters to these values, a wavefunction that approximates the ground state wavefunction is produced, and the energy in that state's expectation value serves as an upper bound on the ground state energy.
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Point l is located a distance d2–√ from the midpoint between the two wires. Find the magnitude of the net magnetic field bl created at point l by both wires.
the magnitude of the magnetic field bl created at point l by both wires. is 0.0071 μI / d
since we know the formula we can refer to the magnetic field is
B= μI / 2πR
where I is the current flowing through the wires, R is the distance
Here Using the Pythagoras theorem
R= √d² + (2d)²
R = √d² + 4d²
r = √5d²
r = d√5
substituting the value of R in the formula, we get
= μI / 2π(d√5)
= μI / 2dπ√5
= (1 / 2π√5)(Iμ/d)
=0.0071 μI / d
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a wheel has moment of inertia 5 cross times 10 to the power of negative 3 end exponent space k g times m squared and is making 20 revolutions per second. the magnitude of torque needed to stop it in 10 s is:
A wheel has moment of inertia 5 x 10-3 kg m2 and is making 20 revolutions per second. The magnitude of torque needed to stop it in 10s is: 4 π x 10-2 Nm.
The force that may twist an item about its axis is measured as torque. Torque is what causes an object to acquire angular acceleration, just as force is what causes an object to accelerate in linear kinematics. examine the formula. Force times distance equals torque. The same way that force and distance are measured in newtons and meters, respectively, so is torque. The size or magnitude of a mathematical object is a characteristic that defines whether it is bigger or smaller than other objects of the same kind. An object's magnitude is, more properly, the exhibited outcome of an ordering—of the class of objects to which it belongs.
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rgb color television and computer displays use cathode ray tubes that produce colors by mixing red, green, and blue light. if we look at the screen with a magnifying glass, we can see individual dots turn on and off as the colors change. using a spectrum of visible light, determine the approximate wavelength of each of these colors. what is the frequency and energy of a photon of each of these colors?
The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.
What is the equation for energy and Frequency?
In this case, the formula for energy and frequency is given as follows:
E = Hv
Where
E - Energy (in eV)
h - Planck's constant (4.1357 x 10⁻15 eVs)
v-frequency (in Hz)
v = c/λ
Where,
v - frequency (Hz)
c - speed of light (3x 10⁸) ms⁻¹
λ - wavelength (in meters)
The energy of the photon for Red light is given as follows:
E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 1.902 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]
v = 4.6 x 10¹⁴Hz
For Green light:
Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.234 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]
v = 5.4 x 10¹⁴Hz
For Blue light:
Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)
E = 2.729 eV
Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]
v = 6.6 x 10¹⁴Hz
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A 0. 25-kg toy car experiences a net force of 9. 0 n while slowing down to a complete stop. What is the magnitude of its acceleration?.
Magnitude of the acceleration would be 36 m/s^2.
Force is nothing but an influence that can change the motion of object or can make changes into the object. Sometimes we apply force but still there is no effect. Mathematically when object comes into motion after applying force, Force is the product of the mass of the object and the accelerations of the body, so we can write
F = ma
now putting the values, we can get that force is
F = 0.25 x a
a = F/0.25
a = 9/0.25
a = 900/25
a = 36 m/s^2
Hence the acceleration would be 36 m/s^2.
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a 70kg skater from side to side on a curved ramp they start at a height of 5m
at the boot on of the ramp they have the speed of 9.5m/s
on the opposite side of the ramp they only reach a maximum height of 4cm
describe the energy stores and transfers that take place as the skater moves form side to side on the ramp
The velocity of the skater will increase as he moves towards the center of the ramp and consequently the kinetic energy will increase. The kinetic energy will converted into potential energy as he moves towards the maximum height.
What is law of conservation of energy?The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.
As the skater move from side to side on the curved ramp, his kinetic energy will be converted into potential energy.
Mathematically, it be written as;
K.E = P.E
¹/₂mv² = mgh
where;
m is the mass of the skaterv is the speed of the skater at the lowest pointh is the maximum height attainedg is acceleration due to gravityAs the skater moves from the highest point with zero velocity, he will have maximum potential energy which decreases as he moves towards the center of the ramp. The velocity will increase as he moves towards the center of the ramp and consequently the kinetic energy will increase.
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cell phones use radio waves to transmit information. if your cell phone uses a frequency of 1900 mhz, what is the wavelength in meters of the electromagnetic radiation emitted by your phone? (1 hz
The wavelength of the electromagnetic radiation emitted by your phone is 1.578meters.
What is the wavelength of electromagnetic radiation?The name given to the recognized range of electromagnetic radiation is the electromagnetic spectrum (EMS). The frequency decreases from 3×10²⁶ Hz to 3×10³ Hz as wavelengths rise from around 10⁻¹⁸ m to 100 km.
The wavelength is the separation between two wave crests, while troughs have the same wavelength. Frequency, measured in cycles per second (Hz), is the number of vibrations that pass over a certain location in a second (Hertz).
Given,
Frequency = 1900 mhz = 1900×10⁶,
velocity = 3×10⁸,
Wavelength = v/F
Wavelength = 3×10⁸/ 1900×10⁶
Wavelength = 1.578meters.
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The telescope that allowed astronomers to discover most of the planets found with the transit method was called?.
The telescope that allowed astronomers to discover most of the planets found with the transit method was called the Kepler mission.
What is the Kepler mission?Through only this one telescope, Kepler, astronomers have found thousands of extrasolar planets, or exoplanets, since its inception. Most of them are planets with diameters ranging from Earth's to Neptune's (which is four times the size of Earth). Where Kepler was directed for the first four years of its mission, in an area of the constellation Cygnus roughly the size of the palm of a hand held at arm's length, many of these planets were found.
According to the NASA Exoplanet Archive, as of November 2020, Kepler was credited with finding 2,392 exoplanets, with 2,368 candidate planets still awaiting confirmation.
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The car travels 28m in 7s. What is the speed of the car?
The Speed of the car is 4m/s.
What is the speed?
The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.
It is the ratio of distance in m and time taken by the object to travel in seconds.
Hence: Distance D=28m
Time T=7s
Speed S=D/T
S=28m/7S
S=4m/S
Therefore car's speed is 4m/S
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The speed of the car is 4m/s
What is speed?Speed is the rate of change of distance with time.
It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time
From the definition, speed = distance/time
distance is 28m and time is 4s, therefore
Speed = 28/4= 7m/s.
Therefore the speed of the car is 7m/s
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the angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) what is the angular acceleration of the body? (b) through what angle does it turn in this 120 s?
The angular acceleration of the body & through certain angle is 0.87266 rad/sec² and 12566.8rad respectively.
Given -angular velocity of a rotating rigid body increases from 500 to 1500 rev/min .
Time= 120s
To find - Angular acceleration and angle
Principle : We have to convert rev/min to rad/sec .
ωf= ωi + αt
ωf- ωi = αt
α= [ ωf- ωi ]/ t⇒angular acceleration formula
ΔФ=ωi t + αt²/2⇒ angle deviation formula
Calculations-
Conversion of Rev/Min to rad/Sec -
ωi= 500 rev/min
= 500 x 2π rad/rev x 1min/60sec = 52.3598 rad/sec
ωf= 1500 rev/min
=1500 x 2π rad/rev x 1min/60sec = 157.079rad/sec
ωi=52.3598 rad/sec
ωf=157.079rad/sec
Now , to compute angular acceleration- α= [ ωf- ωi ]/ t
= [157.079rad/sec- 52.3598 rad/sec]/120
α=0.87266 rad/sec²
Now to compute angle deviated -ΔФ=ωi t + αt²/2
=52.3598 x 120 + [0.87266 x 120 x120]/2
ΔФ= 12566.8rad
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