If a ceiling fan's 18-inch blades rotate at a rate of 45 revolutions per minute, its linear speed in feet per hour would be 5400 rad per hour.
How can you determine linear speed?Thus, the angular speed times the distance r gives the linear speed of a point on the object. The units of measurement are meters per second and meters per second. where = speed in radians/sec
What are linear speed and angular speed?The pace at which the object rotates is its angular speed, which is measured in rotations per minute, degrees per minute, radians per hour, etc. The linear speed is the rate at which a point on the edge of an object moves in a circle around the item's center.
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write the y(x,t) equation for a wave travelling in the positive x-direction with a wavelength of 50.0 cm, speed of 4.00 m/s, and amplitude of 5.00 cm. be sure to include units where appropriate.
The y(x,t) equation of wave travelling in the positive x-direction is y = 0.05 cos ( π (16t - 4x)).
Wavelength of the wave = λ = 50.0 cm = 0.5 m
Speed of the wave = s = 4 m/s
Amplitude of the wave = A = 5 cm = 0.05 m
The y(x,t) equation of the wave is =
= Using sine wave equation
= y = A cos (ωt - kx)
Here, (ωt - kx) means that the wave is travelling in positive x-direction.
Now, ω = 2πf
= 16π rad/s
Thus, Frequency of the wave = f =
= speed / wavelength
= s / λ
= 4 / 0.5
= 8 Hz
Now, value of k =
= k = 2π/λ
= k = 4π
Substituting these values in the sine wave equation,
= y = A cos (ωt - kx)
= y = 0.05 cos ( 16πt - 4πx)
= y = 0.05 cos ( π (16t - 4x))
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A car traveled 348 km in 5.0 min. What was the speed of the car in m/s?
Answer:
69,000m/s.
Explanation:
1. Divide
348 ÷ 5.0 = 69.6km
Now, it says to find it in meters. Not km. 1,000 meters = 1 km. So, we can simply move the decimal place over according to how many zeros there are in 1,000. In this case, there are 3 zeros. So, we can move the decimal place over 3 times:
69.6
696.
6,960.
69,600
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Bobby and Michael are competing by running up bleachers. Both runners weigh the same. Bobby runs up the
bleachers in 30s and Micheal run up the same bleachers in 40s. Who is more powerful?
A Bobby and Michael are both equally powerful.
B Michael because he took longer to run up the stairs.
C Bobby because he runs up the stairs faster.
D Bobby because he does more work.
Bobby is more powerful because he runs up the stairs faster.
What is power?Power is known to be the speed at which work is done. P = gravimetric power The SI unit is Watt W, where 1 Watt equals 1 Joule/second (1W=1J/s). Since work is energy transfer, power is also the rate at which energy is consumed. For example, a 60 W light bulb consumes 60 J of energy per second.
W = F × s
Where, W = work done
F = Force
s = distance
Since both of them are of same weight and can exert equal force while running and are covering same distance, their work done will be equal.
Now according to, P = W/T
Where, P = Power
W = Work
T = Time
Hence, power is inversely proportional to time.
Lesser the time for a particular work higher will be the power.
Time taken by Bobby to reach the bleachers = 30s
Time taken by Michael to reach the bleachers = 40s
As Bobby took lesser time to reach the bleachers, implies his high rate of work.
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a 160 kg lineman moving west at 2 m/s tackles an 88 kg football fullback moving east at 5 m/s. after the collision, both players move east at 2 m/s
320 kg.m/s is the momentum of lineman (p)lineman =mv and 440 kg.m/s is the momentum of football fullback (p)fullback =mv.
What is change in momentum after collision?Whenever to body collides there is no change in the momentum of the body as momentum of body is equal to the momentum before the collision to the momentum after the Collison.
As per the given data:
Mass of lineman= 160 kg
velocity of lineman=2m/s
mass of fullback=88 kg
velocity=5 m/s
now momentum of lineman (p)lineman =mv
(p)lineman =160*2
(p)lineman =320 kg.m/s
now momentum of football fullback (p)fullback =mv
(p)fullback =88*5
(p)fullback =440 kg.m/s
now both travelling towards each other so final momentum after collision = 440-320
=120 kg.m/s
hence, the final momentum = 120 kg.m/s after collision .
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c. we may think of a bulb as presenting an obstacle, or resistance, to the current in the circuit. 1. thinking of the bulb in this way, would adding more bulbs in series cause the total obstacle to the flow, or total resistance, to increase, decrease, or stay the same as before. 2. formulate a rule for predicting how the current through the battery would change (i.e., whether it would increase, decrease, or remain the same) if the number of bulbs connected in series were increased or decreased.
All light bulbs contain a filament that has some form of resistance hence adding more bulbs in series will increase the total obstacle to the flow, or increases the total resistance
Resistance is the degree to which a substance obstructs or opposes an electric current and electron flow is referred to as electric current.
As electricity passes through the filament, it encounters the resistance due to presence of filament and the energy is converted into light and heat.
According to the Ohm's law, V = IR
if the voltage remains constant then the current(I) is inversely proportional to the resistance(R).
So increasing the number of bulbs connected in series would decrease the current through the battery as it is having constant voltage.
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If the electron were replaced with a proton moving with the same velocity, how would the resulting acceleration of the particle change?.
As a result, the proton will accelerate in a manner opposite to that of the electron, both in terms of amplitude and direction.
what is A description of an accelerationAcceleration is the term for how quickly and in what direction a velocity varies over time. Acceleration is the change in direction or speed of a moving object that is moving ahead.
What is the acceleration unit?Meter per second per minute (m/s2) is the unit of acceleration. Definition. The force known as the snewton is that which, when applied to a mass of one kilogram, results in an acceleration from one metre per second per second.
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a car can just make it around a curve without slipping at 27 m/s when the coefficient of friction is 0.7. find the radius of the curve.
The radius of curvature of a car to turn without slipping is 106.27 m.
When a car travels around a curve without slipping, it means all forces in balanced. Two forces are working in the car
Centripetal forceAccording to Newton's first law
∑F = 0
Fc - f = 0
Fc = f
[tex]m \frac{v^2}{R} = \mu m g[/tex]
v² = μgR
27² = 0.7 × 9.8 × R
729 = 6.86 × R
R = 729 ÷ 6.86
R = 106.27 m
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What happens to the gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer? (1 point).
Answer: The gravitation force between two objects that are 15 m apart, when one of them moves 3 m closer then it increases by a factor of 1 9/16.
Reason:
Mathematically it can be represented as, F = Gm1m2/r2 Where, F is the Gravitational force between two objects measured in Newton (N). G is the Universal Gravitational Constant with a value of 6.674 × 10-11 Nm2kg-2.
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a 7 kg mass is 12 meters from a 9 kg mass. what is the magnitude of the gravitational force on the 7 kg mass due to the 9 kg mass?
The gravitational force is 2-92 X 10⁻¹¹ N
Solution:
F = [tex]\frac{ Gm_{1} m_{2} }{r^{2} } = \frac{6.67*10^{-11} (7)(a)}{12^{2} }[/tex]
= 2-92 X 10⁻¹¹ N
Gravity or attraction pulls objects with mass together. We often think about Earth's gravity. This force locks the body to the ground. However, all objects with mass exert gravitational force on all other objects with mass.
Gravity is described as the force of attraction that attracts all physical forms with mass. It is by far the weakest known force of nature. The reason gravity pulls you to the ground is that all objects with mass like our Earth actually bend or distort the fabric of the universe called space-time. This curvature is what we perceive as gravity.
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what is the tension in the rope, and what is the magnitude of the force that the floor exerts on the plank?
The tension in the rope is 366 N, and the floor's strain on the plank is 221 N, based on the answer to the question.
What does tension look like?Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The finest demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when ever a pull force is applied to it.
Briefing:a). Taking into account the plank's torque at the floor:
(T sin 60 )(L ) = (20g cos 30)(L/2) + (50g cos 30)(3L/4)
T = ( 10g cos 30 + (150 g cos 30) / 4) / sin 60
= 466 N
b). R + T = (20 + 50 )g
R = 70g − T
= 686 − 466
= 221 N
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The complete question is-
A 20.0-kg uniform plank (10.0 m long) is supported by the floor at one end and by vertical rope at the other end shown in the figure A 50.0-kg mass person stands on the plank distance three-fourths of the length plank from the end on the floor.
(a) What is the tension in the rope?
(b) What is the magnitude of the force that the floor exerts on the plank?
A resistor and an initially uncharged capacitor are connected in series with battery. A long time after the circuit is connected , which of the following is true? O The voltage across the resistor is at its maximum: O The voltage across the capacitor is at its minimum: O The charge on the capacitor is at its minimum. O The current in the circuit is at its maximum; O The current in the circuit is Zero.
The current in the circuit is Zero is true
Define current
An electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. negative to positive points are crossed by current.
The maximum voltage across the resistor is the first choice. This choice is incorrect because, after a considerable amount of time, the capacity is fully charged and the circuit's current "I" will be equal to zero. Moreover, because current is 0 It will now be equal to zero for the voltage courses resistive "IR."
The next option claims that the voltage across the capacitor is at its lowest. Additionally, this is incorrect because charge across a capacitor reaches its maximum over time. In addition to being maximum, voltage will be maximum and equivalent to charge upon capabilities.
No The capacitor is only partially charged, according to the next option. This is incorrect since it takes a while for the charge to reach its maximum level before the maximum current is claimed. . Which is also incorrect because once the capacitor is fully charged, current eventually zeroes out.
Since the capacitor's charge did not change at all after it reached full charge, the fact that the circuit's current is zero is accurate. Because the charge has achieved its maximum value, the rate of change of charge will be zero, and the current will also be zero.
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question 5 what is this minimum value of the angular separation between objects that allows resolution?
The Minimum Angular Separation Between Two Stars is 4 × 10−6 Rad, If Telescope is Used to Observe Them with an Objective of Aperture 16 Cm.
The angular resolution measure is the angular size of the smallest features that the telescope can see. θ ≈ a / d . A complete circle is 2π radians = 360 degrees. Angular sizes or separations may also be measured in arcminutes (60 arcmin = 1 degree) or arcseconds (60 arcsec = 1 arcmin).
To find Angular Separation
It represents cosine angle between two vectors. ...
Formula. ...
Exercise: ...
From vector algebra we remember that cosine angle between two vectors can be represented as dot product divided by length of the two vectors.
The length of a vector (sometimes called modulus) is the root of square of its coordinate.
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While marching, a drum major tosses a baton into the air and catches it. The height h (in feet) of the baton after t seconds can be modeled by h =—16t2+32t+6. How long is the baton in the air?
A drum major tosses a baton into the air and catches it and how long is the baton in the air is 22 feet
The heightis h of a baton function of time is t
h=−16t²+32t+6
dh/dt=d/dt(−16t²+32t+6)
=−32t+32
d²h/dt²=−32<0
For maximum height h, we have
dh/dt=0
−32t+32=0
t=1
Setting t=1 in the function of height, the maximum height of baton will be obtained at time t=1 sec
h(1)=−16(1)2+32(1)+6
=22 feet
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a capacitor operating at 300 volts must be discharged to what voltage within 1 minute after it is disconnected from its supply?
A capacitor operating at 300 volts must be discharged to a voltage of 50 volts or less within one minute after it is disconnected from its supply.
The capacitor undergoes charging and discharging cycles when connected to a circuit. When a capacitor is discharged during operation, some part of the charge remains in the capacitor. Therefore, the capacitor does not discharge itself completely during normal operation.
Even after disconnecting the circuit, some charge will be left over in the capacitor (unless it is manually discharged). This charge that remains in the capacitor is known as a residual charge.
Reduce a capacitor's residual voltage to 50 volts or less within 5 minutes after the capacitor is disconnected from the supply source.
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A laser with wavelength d/8 is shining light on a double slit with slit separation 0.400mm . This results in an interference pattern on a screen a distance L away from the slits. We wish to shine a second laser, with a different wavelength, through the same slits.
Part A: What is the wavelength ?2 of the second laser that would place its second maximum at the same location as the fourth minimum of the first laser, if d = 0.400mm ? Express your answer in millimeters.
The wavelength of the second laser is 0.170mm.
What is wavelength?
The distance over which a periodic wave's shape repeats is known as the wavelength in physics. It is a property of both travelling waves as well as standing waves in addition to other spatial wave patterns. It is the distance between two consecutive intersection point of the same phase just on wave, such as two adjoining crests, troughs, as well as zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda () is frequently used to represent wavelength. The term wavelength also is occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of multiple sinusoids.
The distance between the successive maxima and minima of the interference pattern is given by the equation
d/λ = L sin θ
where θ is the angle between the slits and the screen. Since the second laser must produce a maximum at the same location as the fourth minimum of the first laser, the angle θ is equal to 4 times the angle between the first laser and the screen. Thus, the wavelength of the second laser is given by the equation
λ2 = (d/L) sin(4θ)
Substituting in the given values, we have
λ2 = (0.400mm/L) sin(4θ)
where θ is the angle between the first laser and the screen. The value of θ can be found using the equation
d/λ1 = L sin θ|
where λ1 is the wavelength of the first laser. Substituting in the given values, we have
θ = sin-1(d/λ1L)
Substituting this into the equation for λ2, we get
λ2 = (0.400mm/L) sin(4sin-1(d/λ1L))
Therefore, the wavelength of the second laser is given by
λ2 = (0.400mm/L) sin(4sin-1(d/0.400mm/8))
= 0.400mm sin(4sin-1(1/8))
= 0.400mm x 0.425
= 0.170mm
Therefore, the wavelength of the second laser is 0.170mm.
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. the position of a particle moving along the x-axis is given by m. (a) at what time does the particle cross the origin? (b) what is the displacement of the particle between and 28. a cyclist rides 8.0 km east for 20
The time when the particle crosses the origin is t = 0.
What is time?
Time is the ongoing progression of existence and things that happen in what seems to be an irreversible order from the past, present, and forward into the future. It is a quantity that is a part of many measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred as a fourth dimension. Time has long been a crucial topic of study in philosophy, religion, and science, but scholars have never been able to define it in a way that is applicable to all of these disciplines without being circular.
(a) The particle crosses the origin when the position m is equal to 0. Since the position of the particle is given by m, we have to solve the equation m = 0. Therefore, the time when the particle crosses the origin is t = 0.
(b) The displacement of the particle between 0 and 28 is 28 - 0 = 28 km. The displacement of the cyclist between 0 and 20 is 8 km. Therefore, the displacement of the cyclist over the 20 minutes is 8/20 km/min. Since there are 28 minutes in total, the total displacement of the cyclist is 28 x (8/20) = 14 km.
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The average kinetic energy of gas molecules is ________ proportional to the absolute temperature.
The average kinetic energy of a gaseous molecules is directly proportional to the absolute temperature. This indicates that the motion of all the molecules stops if the temperature decreases to absolute zero.
What is average kinetic energy?The product of each gas molecule's half mass and its square RMS speed yields the average kinetic energy of a gas molecule. In mathematical terms,
[tex]K=\frac{1}{2}mv_{rms}^{2}[/tex]
Here, K = Average kinetic energy
m = Mass
vrms = RMS velocity.
What is absolute temperature?The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy).
How average kinetic energy is related to absolute temperature?[tex]K=\frac{1}{2}mv_{rms}^{2}\\[/tex]
Now, [tex]v_{rms} = \sqrt{\frac{3RT}{M} }[/tex]
Substituiting the value vrms we get,
[tex]K=\frac{1}{2}mv_{rms}^{2}\\\\K= \frac{3}{2} RT[/tex]
Thus from the above equation we can see that a gas particles average kinetic energy is directly proportional to the absolute temperature (T) of the gaseous particles. All the gases at the same temperature have the same average kinetic energy (K).
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1.how high will the station have to above the normal train track be for 100,000 kg train going 100 km/hr to come to a stop?
The calculated answer is 1000 m. Since we must suppose that there isn't any external net force operating on the system of the two trains, this is an issue about momentum conservation.
When the trains clash, there will be a collision force between them, but since we have defined the system as the two trains, the force is internal to the system.
The starting momentum of train 1 plus train 2 equals the end momentum of train 1 plus train 2, or p1 + p2 = p1′ + p2′. However, train 2 has no momentum because we are aware that it is at rest. That enables us.
Since p = mv,
v1 = v2,
and m is a constant, the revised form of the equation is p1 + 0 = p1′ + p2′.
either mv1 = 2mv or mv1 = (m + m) v.
=100000/100
=1000 km
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what is the magnitude of the resulting force on the 8 kg mass at the origin? the value of the universal gravitational constant is 6.6726 × 10−11 n · m2 /kg2 . answer in units of n.
As per the details given, the magnitude of the resulting force on the 8 kg mass at the origin due to the gravitational attraction of the other two masses is 1.09 x 10⁻¹¹ N.
To calculate the magnitude of the resulting force on the 8 kg mass at the origin, we need to consider the gravitational forces exerted by the other two masses.
Let's assume the mass at the origin is M₁ = 8 kg, the mass at (0, 6) is M₂ = 16 kg, and the mass at (8, 0) is M3 = 4 kg.
The gravitational force (F) between two masses M₁ and M₂ is given by Newton's law of universal gravitation:
F = G * (M₁ * M₂) / r²
where G is the universal gravitational constant (6.6726 × 10⁻¹¹ N·m²/kg²), M₁ and M₂ are the masses, and r is the distance between the centers of the masses.
1. Gravitational force between M₁ and M₂:
Distance between M₁ and M₂:
r1 = √(0² + 6²) = 6 m
Gravitational force between M₁ and M₂:
F1 = G * (M1 * M2) / r₁²
F1 = 6.6726 × 10⁻¹¹ * (8 kg * 16 kg) / (6 m)²
F1 ≈ 1.0660 × 10⁻¹⁰ N
2. Gravitational force between M₁ and M₃:
Distance between M₁ and M₃:
r₂ = √(8² + 0²) = 8 m
Gravitational force between M₁ and M3:
F₂ = G * (M₁ * M₃) / r₂²
F₂ = 6.6726 × 10⁻¹¹ * (8 kg * 4 kg) / (8 m)²
F₂ ≈ 2.0015 × 10⁻¹¹ N
Now, the resulting force on M₁ is the vector sum of the forces F₁ and F₂. Since the forces are acting along the x-axis and y-axis, we can use the Pythagorean theorem to find the magnitude of the resulting force:
Magnitude of the resulting force on M1:
F' = √(F₁² + F₂²)
F' = √((1.0660 × 10⁻¹⁰ N)² + (2.0015 × 10⁻¹¹ N)²)
F' ≈ √(1.1363 × 10^(-20) N² + 4.0060 × 10⁻²² N²)
F' ≈ √(1.1769 × 10⁻²⁰ N²)
F' ≈ 1.09 × 10⁻¹¹ N
Thus, the resulting force on the 8 kg mass at the origin is approximately 1.09 × 10⁻¹¹ N.
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Why does the rotation curve for the solar system show speeds that become slower with increasing distance from the sun?.
The rotation curve for the solar system show speeds that become slower with increasing distance from the sun Because the Sun contains most of the mass of the solar system
What is solar system ?The Solar System is composed of the Sun, eight planets, and another collection of celestial bodies. These celestial bodies and planets are drawn to and orbit the Sun. The Sun, an average star, the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune make up our solar system.
As the distance from the galactic centre increases, it is discovered that the rotation speed does not decrease, suggesting that the galaxy's mass distribution cannot be concentrated like the light distribution.
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the power-factor-correction circuit shapes the inductor current to appear as if a resistive load was connected at the output of the diode rectifier. A. true B. False
The power-factor-correction circuit shapes the inductor current to appear as if a resistive load was connected at the output of the diode rectifier. It is false.
Power Factor Correction may be a technique that employments capacitors to decrease the receptive power component of an AC circuit to improve its efficiency and reduce current. A power factor correction (PFC) circuit is included in a control supply circuit to bring its power factor close to 1.0 or reduce harmonics. Many electronic circuits have a capacitor at the input of the control supply to function with DC voltage. This capacitor might cause a phased move between the sinusoidal AC control supply voltage and current and the control to calculate (PF) will drop. A power factor correction (PFC) circuit diminishes the harmonic twisting within the supply current and makes a current waveform near a crucial sine wave in arrange to extend the power calculation to unity.
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two blocks are stacked on top of each other on the floor of an elevator as shown. the mass of block 2 (bottom) is 3.0 kg and the mass of block 1 (upper) is 2.0 kg. the elevator is accelerating upwards at a constant rate of 1.6 m/s2.
The magnitude of force that block 2 exerts on the floor of the elevator is 57 N.
Mass of block 1 = m = 2Kg
Mass of block 2 = M = 3Kg
Acceleration of the elevator = 1.6 m/s
The magnitude of force exerted by block 2 = N =
= Using Newton's second law of motion
= N - w = (m + M) X a
= N - (m + M) X g = (m + M) X a
And we know that total force = m X a
= N = (m + M) X (g + a)
= N = (3+2) X (9.8 + 1.6)
= N = 5 X 11.4
= N = 57 N
Thus, the force exerted by block 2 on the elevator floor is 57 Newtons.
The complete question:
two blocks are stacked on top of each other on the floor of an elevator as shown. the mass of block 2 (bottom) is 3.0 kg and the mass of block 1 (upper) is 2.0 kg. the elevator is accelerating upwards at a constant rate of 1.6 m/s2. What is the force exerted by block 2 on the floor of the elevator?
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a charged particle enters a region of uniform magnetic field. Determine the direction of the force on each charge due to the magnetic field Part B Figure 2 of 3 Determine the direction of the force on the charge due to the magnetic field. (Figure 2) View Available Hints) a. F points out of the page. b. F points into the page c. Fpoints neither into nor out of the page and F ≠ 0. d. F = 0
The direction of the force on each charge due to the magnetic field will be on the page.
Calculation:-
Force on a charged particle in a magnetic field is given as
F = q(V x B)
As its velocity is in +Y direction = J
The magnetic field in +x-direction = I
So,( Force will be in (I x J).
When a charged particle enters a region of uniform magnetic field and its velocity is perpendicular to the magnetic field, a magnetic force is generated that acts as a centripetal force, causing circular motion of the particle. Since the magnetic force acts perpendicular to the direction of motion, charged particles follow curved paths within the magnetic field.
The Particle continues following this curved path until it forms a perfect circle. Magnetic forces act on particles perpendicular to their velocity, so they do not act on them. The kinetic energy and velocity of the particles do not change. For example, due to their inertia, charged particles drift in inhomogeneous magnetic fields and generate ring currents around the Earth.
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why does michael jordan appear to defy gravity as he slam dunks the ball? (after you have thought about this question, see page 68 of your textbook.)
Michael jordan appears to defy gravity because His motion is that of a projectile, and a projectile's motion is such that its vertical speed is minimal while at the high point of its trajectory.
What do you mean by projectile motion?
Projectile motion is a form of motion experienced by an object or particle that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. Examples of projectile motion include throwing a ball straight upward, kicking a ball and giving it a speed at an angle to the horizontal, or simply dropping an object and allowing it to free fall. In all cases, gravity is the only force acting on the object.To know more about Projectile motion here
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you are using your calculator in a room illuminated by a 120 w bulb 2.8 m away. assume the light bult is designed to send the light uniformly into a hemisphere. the solar cells have an active area of 3 cm2. if the solar cells are 15% efficient, how much electrical power is the calculator receiving in mw?
If the solar cells are 15% efficient, the electrical power that the calculator is receiving is 0.10962mW.
What is solar cells?It is a photovoltaic cell, an electronic device that converts the energy of light directly into electricity by the photovoltaic effect, which is a physical and chemical phenomenon.
So, the solar cells on your calculator will trap solar energy and convert it into electrical energy to give power your calculator's liquid display.
How to calculate the electrical power that the calculator will receive?
P = 120W
r = 2.8m
A = 3cm² = 3 * 10^-4 m²
Intensity = 15/100 * P/4*π*r^2
= 0.15 * 120 / 0.5 * 4π * 2.8²
I = 0.3654 W/m^2 (rounded)
Received power = I * A
= 0.3654 * 3 * 10^-4
= 1.0962 * 10^-4 W
= 0.10962 mW
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a pipe of length 6.0 m is closed at one end and sustains a standing wave at its second overtone. determine the distance between a node and an adjacent antinode.
The distance between a node and an adjacent antinode is 1.2m.
If λ is the wavelength then the length of the pipe L = 5λ/4
Now F₁ = ν/4L
F₃ = 5F₁ for second overtone for system of two different ends,
so, wavelength λ = [tex]\frac{4L}{5}[/tex] = 4 × [tex]\frac{6}{5}[/tex] = 4.8m
the distance between a node and adjacent antinode = λ/4 = [tex]\frac{4.8}{4}[/tex] = 1.2m
In physics, what do node and antinode mean?
The location of a point on a standing wave is described by its node and antinodes. The points known as nodes are those that do not deviate from the equilibrium position. At nodes, amplitude is at its lowest. Antinodes are locations where deviations from the mean position are at their highest (at crests and toughs). Antinodes have the highest amplitude.
On the other side, antinodes are created in regions where constructive interference takes place. For instance, a point of significant positive displacement happens when the crests of two waves collide.
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a rifle bullet has a muzzle velocity of 680 ft/s. (a) at what angle (ignoring air resistance) should the rifle be pointed to give the maximum range? (b) evaluate the maximum range.
(a) The angle the rifle should be pointed to give the maximum range is 45⁰.
(b) The maximum range of the bullet is 47,183.7 m.
What is the maximum range of the raffle?
The maximum range of the raffle is calculated by applying the following kinematic equation.
R = u² sin(2θ) / g
where;
u is the velocity of the bulletθ is the angle of projection of the bulletg is the acceleration due to gravityAt the maximum range, the angle of projection = 45⁰
The maximum range of the bullet is calculated as follows;
R = u² sin(2θ) / g
R = (680² x sin(2 x 45) ) / 9.8
R = 47,183.7 m
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A. The angle at which the rifle should be pointed to give the maximum range is 45 degrees.
B. The maximum range of the bullet is 4383.5 m
A. How do I determine the angle for maximum range?
projectile motion involves motion which follows a parabolic path.
However, to obtain a maximum range for projectile motion, the angle of projection must be 45 degrees
B. How do I determine the maximum range?
The maximum range of the bullet can be obtained as follow:
Initial velocity (u) = 680 ft/s = 680 × 0.3048 = 207.264 m/sAngle of projection for maximum range (θ) = 45 ° Acceleration due to gravity (g) = 9.8 m/s²Maximum range (R) =?R = u²Sine(2θ) / g
R = [207.264² × Sine (2×45)] / 9.8
R = 4383.5 m
Thus, the maximum range is 4383.5 m
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one of jupiter's most recognizable features are the colorful bands that cover its surface. why is the surface of saturn so bland in comparison?
The surface of Saturn is much colder than the surface of Jupiter.
What is Jupiter?
The largest planet in the Solar System, Jupiter, is the fifth from the Sun. It is a gas giant with such a mass that is slightly less than one thousandth that of the Sun but more than two and half times so on of all of the other planets within the Solar System put together. After the Moon and Venus, Jupiter is indeed the third brilliant natural unit in the Earth's night sky, and people have been observing it since ancient times. It was given the name Jupiter just after Roman god and supreme deity.
This makes it difficult for convection currents to form in the atmosphere of Saturn and for clouds of ammonia and water to form. Without these clouds, the bands of color that are so prominent on Jupiter's surface are not seen on Saturn. Furthermore, the gases on Saturn's surface are much less dense than those on Jupiter's surface, which further prevents clouds from forming and obscuring the underlying surface features.
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which objects should be included in the system for an analysis based on energy? select all that apply.
The energy can be described when we involve The spring and the block.
What is energy?We know that energy is the ability to do work. From the first law of thermodynamics, the energy that is possessed by a body could be transformed from one form to another. As such, energy can not be created nor destroyed in a system.
The system as described in the question is involved in some kind of energy conversion. In this case, a compressed spring launches a block up an incline. We can see that the spring potential energy of the block is being transformed to the kinetic energy of the block that is in motion as has been designated in the description of the question here.
This is the kinetic energy that launches the block forward as it moves up the ramp.
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Missing parts
A compressed spring launches a block up an incline.
Which objects should be included within the system in order to make an energy analysis as easy as possible?
Check all that apply.
Spring
Ramp
Air
Block
Earth
at a building site, a 1000 kg container hangs from a crane cable and is then placed on the floor so that the cable is unloaded. the container is pushed to an elevator shaft, where it is to be lowered by the crane. by mistake, there is a 1-m slack in the cable from the crane when the container is pushed into the elevator shaft. calculate the maximum stress in the cable if the cable has a cross-sectional area of 500 mm2 , an effective elastic modulus of 70 gpa, and is 25-m long from the crane to the container.
Calculate the maximum stress in the cable if the cable has a cross-sectional area of 500 mm2 , an effective elastic modulus of 70 gpa, and is 25-m long from the crane to the container. 3 mm
The maximum stress in the cable is
Max
= 351.6696 N/mm
2
Elastic modwus , E = 70 GPa = 70x103 MPa ·
Cable length (l): 25 m : 25x10 cross-sectional area of cable
Cross-sectional area-
The go-sectional area is the area of a two-dimensional shape this is received while a 3-dimensional item - along with a cylinder - is sliced perpendicular to a few distinctive axis at a point.
As an example, the go segment of a cylinder - whilst sliced parallel to its base - is a circle. for that reason, the go-sectional area of this slice is the vicinity of a circle with the radius same to the radius of the provided cylinder.
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