the maximum elongation of the spring is 0.5 m.
Calculation :
given ,
mass = 2Kg
K (Spring constant) = 200 n/m
speed = 5 m/s
At the point where it has a speed of 5 m/s there is only kinetic energy and at max elongation there is only potential energy.
= [tex]\frac{1}{2}MV^{2} = \frac{1}{2} Kx^{2}[/tex]
= (1/2)*2*5² = (1/2)*200*x²
= 25 = 100 x²
= [tex]X = \sqrt{\frac{25}{100} }[/tex]
X = 0.5 m
Magnetically confined fusion plasmas, such as those produced in tokamak and stellarator, are characterized by typical geometries. Plasma shaping is the study of plasma shape in such devices and is of particular importance for next-stage fusion devices such as ITER. This shape partially determines the performance of the plasma. In particular, since the tokamak is an axisymmetric device, the shape of the plasma can be completely defined by its cross section.
Early fusion reactor designs tended to have circular cross-sections simply because they were easier to design and understand. In general, fusion machines that use a toroidal layout, such as tokamak and most stellarators, arrange the magnetic field so that the ions and electrons in the plasma move rapidly around the torus.
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a rounded object with 2 kg mass and 10 cm radius is released from rest at the top of 14 m tall incline with a 30o angle, and coefficients of friction . a) at the bottom of the incline the linear speed is 14 m/s. is the object a solid sphere, a disc, or a spherical shell? b) suppose we increase the angle of the incline above 30o. at what angle will the object start to slide instead of roll?
10.66 meters per second will be the bottom speed.
Briefly:-We have specified that the object has a mass of 2 kg and that the plane has produced an angle of 72 meters.
The rate of acceleration will be equal to
α=ΔωΔt α = Δ ω Δ t
The rate of acceleration will be equal to t = t
Starting speed u = 0 m/sec
The velocity at the plane's bottom, or final velocity v, must be determined.According to the third law of motion,
v^2=v_0^2+2ad.
So
v = 10.66 m/sec
Is angle proportional to acceleration?Since the relationship is linear and passes through the origin, the acceleration of an object moving down an incline is precisely proportional to the sine of the incline's angle.
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An IC with a switching rate of 4GHz4GHz and VDD=6VVDD=6V is dissipating 60W60W. What will be the power dissipation if we change VDDVDD to 5V5V and the switching rate to 3GHz3GHz while keeping the activity factor the same?
The power dissipation after changing voltage and switching rate will be 31.25 Volt.
What is power dissipation?
The greatest power that an integrated circuit (IC) can continuously dissipate under a given thermal environment is known as power dissipation.
For 1st case,
switching rate: f = 4 GHz.
power dissipation: P = 60 W.
voltage drop: [tex]V_{DD}[/tex] = 5 V.
So, load capacitance: [tex]C_L[/tex] = [tex]\frac{P}{V_{DD}^{2} *f}[/tex] = 60/{6^2×4} f = 0.417 f.
Now for 2nd case:
switching rate: f = 4 GHz.
voltage drop: [tex]V_{DD}[/tex] = 6V.
Hence, power dissipation in this case: P = [tex]{C_L*V_{DD}^{2} *f}[/tex]
= 0.417 × 5² × 3 V
= 31.25
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a) power-driven scaling devices convert electrical energy (ultrasonic) or air pressure (sonic) into high-frequency sound waves. b) sound waves produce rapid mechanical vibrations in the specially designed scaling tips.
Ultrasonic scaler is the power-driven scaling instrument that convert a high-frequency electrical current into mechanical vibrations.
It operates in a frequency range between 25,000 to 50,000 cycles per second.Ultrasonic scaling device that generates a magnetic field and produces tip vibrations by the expansion and contraction of a metal stack or rod is called Magnetostrictive.Advantages of Ultrasonic Scaling:
Rapid removal of calculus deposits and plaque biofilm.Less clinician hand fatigue.Less patient discomfort.Disrupts bacterial colonies.Decreases tissue trauma.Less tissue distention.Decreases healing time.Allows for irrigation.Delivery of antimicrobials.Purposes and Uses of ultrasonic and sonic scaling:
Supragingival calculus & stain.Subgingival attached & unattached plaque, calculus, endotoxins.Initial debridement for NUG .Furcation debridement.Narrow pockets & difficult areas.Debridement prior to oral surgery.Removal of orthodontic cementum.Overhang removal.To know more about sound waves visit:
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a 50-turn coil has a diameter of '17cm'. the coil is placed in a spatially uniform magnetic field of magnitude so that the face of the coil and the magnetic field are perpendicular. find the magnitude of the emf, , induced in the coil if the magnetic field is reduced to zero uniformly
The magnitude of the emf induced in the coil is - 1.134 dB/dt. If the initial magnitude of the magnetic field 0.5 T in 0.5 s is reduced to zero uniformly the magnitude of the emf induced in the coil is 1.134 Volt.
The formula to calculate the magnitude of the emf induced in the coil when the magnetic field is perpendicular to the face of the coil
ε = - NA dB/dt
[tex]\epsilon \:=\: - NA \frac{dB}{dt}[/tex]
where
N = the number of turns in the coil = 50A = the surface area of the coil (m²)dB = the change in magnetic inductionThe surface area of the coil is a circle A = πr²
d = 17 cmr = 17 ÷ 2 = 8.5 cm = 0.085 mA = 3.14 × 0.085² A = 0.0227 m²ε = - NA dB/dt
ε = - 50 × 0.0227 × dB/dt
ε = - 1.134 dB/dt
The problem is not complete. It should tell the initial magnitude of the magnetic field and the interval time.
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a mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. if the maximum speed of the object is 1.23 m/s, and the maximum acceleration is 4.57 m/s2, find how much time elapses between a moment of maximum speed and the next moment of maximum acceleration.
The time elapses between a moment of maximum speed and the next moment of maximum acceleration. 0.4750 s
Speed is the fee at which an item's position adjustments, measured in meters in keeping with 2d. as an example, if an object starts at the origin, after which movements 3 meters in 3 seconds, its velocity is one meter in step with second. The equation for pace is simple: distance divided by using time.
Calculation:-
X (+) = ASm (wt)
V (+) = Aw cos (wt)
a (+) = - Aw²sin (wt)
Aw/Aw² = (max) (v)/max (v)
= 2.23 ms/7.37 ms²
= 0.302578
w = 1/ 0.302578
= 3.3049 rad/sec
t = 2π/4w
= 0.475 sec.
Acceleration, price at which velocity adjustments with time, in phrases of both speed and course. A factor or an item transferring in a directly line is increased if it hurries up or slows down. movement on a circle is expanded even supposing the rate is steady, due to the fact the route is constantly changing.
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for what value of r is the potential energy u(r) equal to the total energy e ? this value of r is called the classical turning point, since this is where a newtonian particle would stop its motion and reverse direction.
For 1/4 value of r is the potential energy equal to the total energy.
What is potential energy?Potential energy is the form of energy that a object gain.
first want to find the value of our, what value of R is the potential energy equal to the total energy? So you are is equal to negative 1/4 pi epsilon naught E squared over R. Which is the potential energy. And E. This is a total energy. So we just set these two values equal to each other. So negative 1/4 pi epsilon naught E squared over R. Is equal to negative M. E. To the fourth divided by eight E squared and squared each squared and R is equal to two. So we can go ahead and solve this. We get R. Is equal to two. Absolutely not H squared divided by pi M. R. E squared. And actually this is just two times A. So the radius is to a. Now part B. We want to find the probability of electron being found in this classically forbidden forbidden region are greater than the classical turning point. So we need, so first of all let's look at the ground state wave function which is one over squared pi a cubed times E. To the negative are over A. This is what will be needed to integrate to find the probability. So the probability goes from R. is equal to two way to sigh.
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a 400kg bear grasping a vertical tree slides down at constant velocity. what is the friction force that act on the bear? * 1 point a)10 n b) 40n c)400 n d) 4000n
Sliding Friction force:
the force acting on bear due to friction is 3920 sinθ Newtons
What is friction?The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. Different types of friction exist.
Friction between two surfaces causes kinetic energy from moving surfaces to be converted into thermal energy (that is, it converts work to heat). As demonstrated by the utilization of friction produced by rubbing pieces of wood together to start a fire, this feature can have dramatic effects. Every time there is motion with friction, kinetic energy is transformed into thermal energy.
Calculation:
A 400 kilogram bear descends steadily
The net force needs to be zero for the velocity to remain constant.
given that zero acceleration equals constant velocity
F net = m a = m ( 0 ) = 0
The frictional force must be equal in strength to the gravitational force in order to balance it.
F net = F ×g − f k = 0
f k = F ×g
There must be an incline
The following horizontal force is exerted downward and parallel to the incline's surface:
f k = m g sin θ
Where theta the angle of inclination with respect to the x-axis
f k = 400 ( 9.8 ) sin f k = 3920 sinθ N
the force acting on bear due to friction is 3920 sinθ Newtons
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waves travel along a 100-m length of string which has a mass of and is held taut with a tension of . what is the speed of the waves?
The amount of space a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its speed of wave.
The formula Speed = Wavelength x Frequency relates wave speed to both wavelength and wave frequency. The formula wave speed = frequency x wavelength relates wave speed to wavelength, frequency, and period. The speed of light, or roughly 300,000 kilometers per second, is the absolute speed limit at which a wave can move according to Einstein's theory of special relativity. A change in the medium is truly necessary to modify the wave's speed since the wave's speed is a feature of the medium. The wave speed is constant if the medium does not alter during the wave's motion.
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A bow wave is produced when a speed boat moves a) as fast as the waves it produces_ b)faster than the waves it produces. c)nearly as fast as the waves it produces d)none of the above
The correct option is B. A bow wave is produced while a pace boat moves faster than the waves.
In regular use and in kinematics, the velocity (generally known as v) of an object is the value of the trade of its function over time or the magnitude of the trade of its function consistent with a unit of time; it is, for this reason, a scalar amount. The common speed of an object in a c programming language of time is the distance traveled by using the object divided by means of the length of the c programming language; the on-the-spot speed is the restriction of the common velocity as the duration of the time c language processes 0. velocity isn't always similar to pace.
Pace denotes only how rapidly an object is moving, while pace describes how speedy and wherein path the item is transferring. If a vehicle is said to travel at 60 km/h, its velocity has been distinctive. however, if the automobile is stated to move at 60 km/h to the north, its velocity has now been designated.
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three children are riding on the edge of a merry-go-round that is 115 kg, has a 1.7-m radius, and is spinning at 24 rpm. the children have masses of 32, 34, and 40 kg. (a) if the children with masses of 34 and 40 kg move to the center of the merry-go-round, what is the new angular velocity in rpm?
The new angular velocity is 27.7 rpm
From the question, we have
ω = 22 rpm = angular velocity with all children on the edge,
ω' = angular velocity after m2 moved.
From conservation of angular momentum, we have
Mr²ω'/2 + m1r²ω' + m3r²ω' = Mr²ω/2 + m1r²ω + m2r²ω + m3r²ω
ω' = ω(M/2 + m1 + m2 + m3)/(M/2 + m1 + m3)
ω' = 22×(115/2 + 32 + 34 + 40)/(115/2 + 32 + 40)
= 27.7 rpm
The new angular velocity is 27.7 rpm
Complete question:
three children are riding on the edge of a merry-go-round that is 115 kg, has a 1.7-m radius, and is spinning at 24 rpm. the children have masses of 32, 34, and 40 kg. (a) if the children with masses of 34 and 40 kg move to the center of the merry-go-round, what is the new angular velocity in rpm?
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a car traveling north with a velocity of 30 m/s slows down to a velocity of 10 m/s within 10 seconds. what is the car's acceleration?
Within 10 seconds, the speed of an automobile moving north at 30 m/s drops to 10 m/s. The vehicle acceleration at 2 m/s².
The initial velocity of a car, u = 30 m/s
The final velocity of the car, v = 10 m/s
Time, t = 10 s
To find,
The rate of change of the car's velocity determines the acceleration. The formula provides it as follows:
a=v-u/t
a=10-30/10
a=-2 m/s²
As a result, the car's acceleration is 2 m/s².
The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction). The direction of the net force that is acting on an object determines its acceleration. According to Newton's Second Law, the magnitude of an object's acceleration is the combined result of two causes: the net balance of all external forces acting on that object — magnitude is directly proportional to this net resulting force — and that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to this object's mass. The meter per second squared (m/s2) unit of acceleration in the SI system.
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Which of the following conditions should be met to make a process perfectly reversible? Check all that apply. Any mechanical interactions taking place in the process should be frictionless. 0 0 0 Any thermal interactions taking place in the process should occur across infinitesimal temperature or pressure gradients. The system should not be close to equilibrium.
Option A and B; Any mechanical interactions taking place in the process should be frictionless. Any thermal interactions that take place throughout the process ought to cross negligible gradients in either pressure or temperature.
For the process to be perfectly reversible, there should be no non-conservative forces acting as it will lead to energy dissipation. Secondly, the process should occur in very small steps so that it may be reversed at any point in the process. If a thermodynamic system can exchange energy with another system through the process of heat, the two systems are said to be in thermal interactions. Since real systems are almost never completely thermally isolated from their surroundings, perfect thermal isolation is an ideal.
It is impossible for heat to pass between two solid bodies when they are in contact. Thermal contact conductance is a term used to investigate heat transfer between such bodies. The study of how heat and other types of energy interact is the subject of the physics discipline known as thermodynamics.
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find the moment of inertia of a cone with respect to its axis if the radius is .6 and its height is .8 and its mass is 3 grams g
Based on the equation, its inertia moment of a cones is 32.4 when regard to its axis.
What is mass and example?The best way to grasp mass is the amount of material that any item or body is made of. There is mass in just about everything we are able to see. A seat, a chair, a bed, a ball, a glass, and even air are examples of items with mass. Whether anything is heavy or light depends on its mass.
What is mass of a matter?Simply put, mass is indeed a measurement of a body's amount of matter. Matter is everything that has both volume and mass. Although mass cannot be seen, it can be quantified or quantified. Not all matter is visible.
Briefing:This following formula can be used to represent the inertia moment of a solid cone;
I = 3 MR2/ 10
= 3*3*6²/10
=32.4
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on the moon your mass would be less but your weight would be the same true or false
Answer:
false
Explanation:
your mass would be the same but you would weigh less
I wooden table was placed on a wooden floor having a mass of 10 K to the table was pushed by 10N and did not move
Answer:
Explanation:
A wooden table with a mass of 10 kg was set on a wooden floor and pushed with a force of 10N to the table, however, it did not move due to friction.
Because the force of friction was greater than the force given to the object, it did not move.
To move the box, the force applied should be more than 10N
what is the strength of the magnetic field at the center of the loop in the figure?
The magnetic field strength at the center of a circular loop is determined by the formula B=μ0I/2R where R is the loop's radius. RHR-2 provides the field's direction with respect to the loop.
One of two ways to express a magnetic field's intensity is its magnetic field strength.
Technically, a distinction is made between magnetic flux density B, also known as teslas, measured in Newton-meters per ampere (Nm/A), and magnetic field strength H, measured in amperes per meter (A/m) (T).
Magnetic field lines represent the magnetic field. The density of the field lines and the field strength are related.
The magnetic flux is the total number of magnetic field lines that are present in a given space.
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PLEASE HELP!! 25 POINTS!!
Please draw or show a picture of a free body diagram of a
car moving
Answer: Attached JPG
Explanation:
FBD shows the forces acting on an object. If you where given no values (mass, acceleration, μ, etc...) then simply label the various vectors. Vectors show direction and magnitude as in how big the force is.
If you where given the mass you can find the weight and normal force (not inclined plane) by multiplying mass times gravity. Fg=Fn because its not moving in the y dimension (up and down).
If given acceleration and told no friction then the force applied would be mass times acceleration.
If given friction force you have to set up the equation m*a=Fa-Ff and then plug in variables.
It gets more complicated when you are given μ. To find these force then you have to set up the equation Ff=μFn. Plug in variables to find Ff, then set up previously listed equation.
Hope this helps
A 1,193 kg car moving at 27.6 m/s hits a stationary truck with a mass of 4,302 kg. If the two vehicles become stuck together in the collision, how fast do they move away from the point of impact?
use units and work out
The final momentum will be the sum of the initial momentum of the two vehicles. The final velocity of the combined mass will be 5.9 m/s.
What is collision?Collision is a short range force exerted by an object on other object make them move either to the same side or opposite sides based on their mass.
Momentum of a moving body is the product of its mass and velocity. During a collision, the initial momentum will be equal to the final momentum.
The momentum of the car = mass × velocity
= 1193 Kg × 27.6 m/s
= 32926 kg m/s
The initial momentum of the truck is zero because it was stationary.
The final momentum with the velocity v, of the combined mass is equal to the total initial momentum i.e. 32926 kg m/s.
32926 kg m/s = (1193 Kg + 4302 Kg) v
v = 32926 kg m/s / (1193 Kg + 4302 Kg)
= 5.9 m/s.
Therefore, the final velocity of the vehicles when they stuck together is 5.9 m/s.
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identify the system that has failed and determine a corrective action to return the airplane to straight-and-level flight.
The static, pitot system is blocked lower the nose and leveling the wings to level-flight attitude by use of an attitude indicator.
Pilot and co-pilot life jackets are separate systems. The screens can be toggled on either side but if for some reason both fail the pilot with the working screens may take over control. seat and buckle up. Please fasten your seat belt when the seat belt sign is on and when you are seated.
Switch on airplane mode or turn off your electronic devices after closing the aircraft door. It uses the gyroscopic principle to provide information about the aircraft's attitude in flight. All first three points must be completed or at least started within seconds.
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study the spectral types listed in appendix f for the 20 brightest stars and for the stars within 12 light-years of earth. why do you think the two lists are so different? explain.
The points about the stars from the appendix are: Sirius A is the most luminous star within 12 parsecs. It is also the brightest star in our sky, even though it is not the closest. The list of the brightest stars will include the very luminous hot stars from distances greater than 12 light-years, while the list of the fainter yet closer low-mass stars will not.
The list of stars within 12 light-years is volume-limited, which means that almost all of the stars within that distance are listed regardless of luminosity. Such a list is a better representative of the total population of stars and is more plausible to be dominated by low-mass stars. The list of brightest stars includes only those stars that are above a certain apparent brightness threshold.
Therefore, the faintest nearby stars are excluded, but the brightest and rarer hot stars are included in higher proportion than they are in a volume-limited list.
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water falls without splashing at a rate of 0.260 l/s from a height of 3.80 m into a 0.760-kg bucket on a scale. if the bucket is originally empty, what does the scale read 3.50 s after water starts to accumulate in it?
When bucket is originally empty, then the scale reads after water starts to accumulate in it is T = 18.97 N.
What is net force?The net force is defined as the vector sum of forces acting on a particle or object. The net force is a single force that replaces the effect of the original forces on the motion of particle.
After 3.50 seconds, bucket contains 0.91 L of water, which has mass of 0.760 kg same as the bucket. The total mass m of the bucket and the water is 0.91 + 0.760 = 1.67 kg.
So, the gravitational force F,
As, F = mg = (1.67)(9.81) = 16.738N
There is an additional downward force resulting from the momentum of the water being poured and every second, there is 0.260 L = 0.260 kg of water hitting the bottom of the bucket.
Since water falls without splashing, this implies means we can neglect the height of the water that is already in the bucket, and just say that it has fallen full distance of x = 3.80 m.
After falling that distance, water will reach a velocity of sqrt(2gx) = 8.63 m/s
So, force W will be the change of momentum over time,
We know, W = mv/t
= (0.260 kg) (8.63 m/s) / 1 s
= 2.24 N
Total force, T = F + W
= 16.738 + 2.24
T = 18.97 N
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you're driving your pickup truck around a curve that has a radius of 21 m.
The velocity of the truck will be = 12.6 m/s
What is centripetal force ?A centripetal force is a net force that acts on an object to maintain it moving along a circular route.
According to the given information
Normal force acts vertically upwards and the weight of the truck acts vertically downwards.
The centripetal force required by the truck is provided by the frictional force. That is,
[tex]F_f & =\mu N \\[/tex]
[tex]\frac{m v^2}{r} & =\mu m g[/tex]
By putting the values in above expression
r = 21m
The speed of the truck is,
[tex]v & =\sqrt{\mu r g} \\[/tex]
[tex]=\sqrt{(0.78)(21 \mathrm{~m})\left(9.80 \mathrm{~m} / \mathrm{s}^2\right)} \\[/tex]
= 12.6 m/s
The velocity of the truck will be = 12.6 m/s
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Who of the following would be included in the Bureau of Labor Statistics' "unemployed" category?
a. Miguel, who is on temporary layoff.
b. Reta, who worked only 15 hours last week.
c. Marisa, who neither has or job or looking for one.
d. None of the above is correct.
The correct option is (d). none of the above is correct .For the "unemployed" category.
According to the Organization for Economic Co-operation and Development (OECD), unemployment is defined as those over a certain age (often 15) who are not now employed or self-employed but are nonetheless currently available for work during the reference period.The number of unemployed people as a percentage of the labour force serves as a proxy for unemployment, which is expressed as the unemployment rate (the total number of people employed added to those unemployed).To know more about unemployed
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13. two freight cars, each with a mass of 3.0105 kg, collide and stick together. one was initially moving at 2.2 m/s, and the other was at rest. what is their final speed?
The final speed of cars, when the collide and stick together, will be 1.1m/s
What is linear momentum and how it can be calculated?Linear momentum is the vector quantity and it happens when a particle moves with some velocity.
Thus, linear momentum = mass × velocity.
For an isolated system, the system's total momentum will remain unchanged.
Calculation:The expression for the initial momentum is given by
p1=mv1+mv2
here, p is the total initial momentum of the system
it is given that both cars stick together after the collision, so the final velocity of each car will be the same
The expression for the final momentum is given b
pf=mv+mv
So, equating total initial and final momentum
pi=pf
v1+mv2=mv+mv
v=v1+v2/2
Substitute,
v=2.2m/s+0/2
v=1.1m/s
Thus, the final speed of each car is 1.1.m/s
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on a violin, a correctly tuned string has a frequency of 460 hz. if the string produces a sound at 510 hz when under a tension of 25.0 n, what should the tension be to produce the correct frequency?
The tension be to produce the correct frequency is 306N
What is the frequency?The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. One event occurs per second when measuring frequency in hertz.
f= 1/2L[tex]\sqrt[/tex] μT
so
fα[tex]\sqrt[/tex] T
∴ f 1/f 2 = [tex]\sqrt[/tex]T 1/T 2
In our example, f 1 = 460 Hz, and T 1 =?
and for f = 510 Hz, T 2 = 255.
∴
510/460 = [tex]\sqrt[/tex]T 1/255.
∴T 1 =( 510/510 )=306N.
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astronomers can characterize a planet's atmosphere in absorption via group of answer choices transits only transits and the doppler method the doppler method direct imaging astrometry and the doppler method
Astronomers can characterize a planet's atmosphere in absorption via Optioin d. astrometry and the doppler method
For transiting planets, astronomers can obtain valuable information about the atmosphere, surface temperature, and size of the planet. For most Sun-like stars, an orbiting planet that is itself the size of a brown dwarf only reduces the star's brightness to a few percent or less during transit.
Most known exoplanets have been discovered using the transit method. A transit occurs when a planet passes between a star and its observer. As Venus or Mercury moves between us and the Sun, transits within the solar system can be observed from Earth.
A transiting exoplanet's atmosphere can be observed backlit by the star as it passes its host star. Additional atmospheric observations can be made by watching exoplanets disappear and reappear behind their stars.
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Disclaimer:- your question is incomplete, please see below for the comlete question.
Astronomers can characterize a planet's atmosphere in absorption via group of answer choices
a. transits only
b. transits and the doppler method
c. the doppler method direct imaging
d. astrometry and the doppler method
If a conductor is connected to "ground", then what is the charge on it?
positive
neutral
negative
determined by other nearby charges
If the conductor is connected to the ground, then it has a neutral charge.
Earth acts as a zero potential ground. So when you connect a positively charged conductor to the ground, the positive charge flows into the ground, resulting in the flow of electrons from the ground to the conductor. A ground wire acts as protection against unstable currents.
Under normal circuit conditions, no current flows through the ground wire. However, when an electrical accident such as a short circuit occurs, the ground wire removes the unstable current from the electrical system and leads it to the ground. The ground wire can be finger-safe as long as there is no electrical surge that causes current to flow through the ground wire.
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At Six Flags Great Adventure Amusement Park in New Jersey, a popular ride known as "Free
Fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small
cage. How fast are the passengers going at the bottom of the exhilarating journey?
At the bottom of the journey, the passengers will be travelling at a speed of approximately 39.2 m/s.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is usually denoted by the letter a in equations. It is the second derivative of position with respect to time, or the rate of change of velocity. Acceleration describes how quickly an object's speed changes with time. Acceleration can involve either an increase or decrease in speed, and it can involve either a change in direction or no change in direction.
This is because the velocity of a free falling object is equal to the square root of two times the acceleration of gravity times the height from which the object is dropped.
In this case, the height is 33.5 m, and the acceleration of gravity is 9.8 m/s2.
Therefore, the velocity at the bottom of the journey is equal to the square root of two times 9.8 m/s2 times 33.5 m, which is equal to 39.2 m/s.
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what is a wave in which particles of matter vibrate perpendicular to the direction the wave called
A transverse wave is one in which the movie's particle vibrations are parallel to the wave's direction of propagation. A transverse beam's crests and troughs are its high and low points, respectively.
Why is it called a transverse wave?Because the materials pass in a plane that is opposite to the wave's direction, this sort of wave is known as a transverse wave. Electromagnetic or mechanical waves are both examples of transverse waves. Any disturbance that moves through a medium, like a string, is referred to as a mechanical wave.
How are transverse waves formed?A wave that oscillates perpendicular of the wave or its line of propagation is referred to as a wave propagation. When a motion is caused in the molecules that form the medium, longitudinal waves are produced that are perpendicular to the wave's propagation direction.
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a 100 mh inductor whose windings have a resistance of 4.0 ω is connected across a 15 v battery having an internal resistance of 2.0 ω
The amount of Energy stored in the inductor is calculated as; 0.3125 J
What is the energy stored in the inductor?
We are given;
Inductance; L = 100 mH
Resistance; R = 4.0 Ω
Voltage; V = 15 V
Internal resistance; r = 2.0 Ω
Formula for current with internal resistance is;
I = V/(r + R)
I = 15/(2 +4)
I = 2.5 A
Formula for energy stored in inductor is;
U = ¹/₂LI²
U = ¹/₂ * 100 * 10⁻³ * 2.5²
U = 0.3125J
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