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Physicsgeneral equatin: sin(theta) = m`lambda` /a ; m = ...,2,1,0,1,2,... central maximum ==> m = 1 so: sin(theta) = y/L = (`lambda`)/a ==> y = L `lambda`/a = 3 * 630e9/0.5e3 = 0.00378 m ==>...

PhysicsThe figure is below attached. The light is coming from the left on the figure and arrives at the double slit. Each slit will act as an independent source of light. If the wave front of the incoming...

PhysicsLet volume of the cay be V cubic unit, length be initial be L and radius circular of cross section be r.Thus we have `V=pi r^2 L` (i) when legth of cylinder doubled i.e 2L ,since volume...

PhysicsThe wire with a length of 1 mile has a resistance of 44 ohm. If the wire is cut in half, the resistance of the shortened piece of wire is half the resistance of the original piece of wire. The...

PhysicsLight is an electromagnetic spectrum that is visible to the human eye, we also call it visible light. It has a wavelength range from 380 (violet) to 740 (red) nanometers. The properties of light...

PhysicsDuring a daytime football game you notice that a player's reflective helmet forms an image of the...The player's reflective helmet forms an image of the sun 4.3 cm behind the surface of the mirror. The helmet is approximated to a spherical mirror. Let the radius of the mirror be r. The image...

PhysicsA train traveling 50 m/s reduces its velocity by 45 m/s over the course of 80 s. Assuming that the velocity change is constant we would find the rate of change by dividing the amount of change (45...

PhysicseNotes policy only allows for one question per submission so I have editted your question accordingly. I have decided to demonstrate the more difficult question so if you understand these concepts,...

PhysicsThe Doppler effect means in its essence the fact that for a moving wave (sound in this case) source and for a moving receiver the frequency of the waves is shifted backwards or forwards depending...

PhysicsThe two speakers produce the loudest sound when the waves of both speakers add with constructive interference. Meaning, when the speakers are 30 cm apart, they are adding the waves thus making the...

PhysicsThe two speakers produce the loudest sound when the waves of both speakers add with constructive interference. Meaning, when the speakers are 30 cm apart, they are adding the waves thus making the...

Science"The greater the acceleration the greater the _____ exerted on an object." The Correct answer would be "force." The greater the acceleration the greater the force exerted on an object. The...

PhysicsThe violin player is trying to make the frequency of her playing similar to the tuning fork. Now she is able to hear two sound waves, the one from her violin and the other one from the fork. As the...

PhysicsA magician wants to perform an illusion where she appears on stage at one location but she is not...Magicians using mirror on their tricks was not a new thing however that skill really makes people amazed. Confusing audience sight is the key for this trick. Since it is very hard to explain the...

PhysicsHow much work (in Joules) is done on a 1 kg object to lift it from the center of the Earth to its...The gravitational force of attraction acting on an object of mass m is given by `F = (m*g*r)/R_e` where r is the distance of the object from the center of the Earth and `R_e` is the radius of the...

AutomobilesAutomobile wheels are made of steel because they need to withstand a lot of hard wear. Many cars these days will hold up for two hundred thousand miles and even more. The tires mounted on the...

PhysicsThe projectile is fired at an angle of 43 degrees with the horizontal at an initial speed 30 m/s. The initial velocity of the projectile can be divided into two components, a horizontal component...

PhysicsThe Boyle's law relates the volume of a gas to its pressure at the same temperature. Mathematically it can be written as: `P_1*V_1 =P_2*V_2` The experimental apparatus used to study for the first...

PhysicsR= (2*sintheta*costheta*u^2)/g = (2*400*1*0)/9.8 = 0 hence the jet of water moves in a vertically upward direction and so range is zero as initial points and final point is the same

ScienceTo orient thinking relating to what Galileo says about the nature of motion, it may be noted that he contradicts the then authoritative ideas of Aristotle, whose ideas were accepted by the Church...

PhysicsGiven the system, we can assume that the dinner of your friend is farther from yours. Since there are no values for amount of heat that was used for heating, we can relatively term it as the...

PhysicsThe figure is below.The speed of sound in dry air at 20 degree Celsius is `v =343 m/s` . In the portion of tube closed at one end there is only one quarter of wavelength (the standing wave in this...

PhysicsThe projectile motion can be represented as: `vf^(2)  vi^(2) = 2gy` and `vf = vi g t` where vf = final velocity vi = initial velocity = 98m/s g = acceleration due to gravity = `9.8 (m)/(s^(2))`...

PhysicsUsing the linear regression from the calculator the quadratic function for this set of data is: f(t) = 15.94t^2 + 110.20 t + 4.87 We find the time when the ball is 6 feet above the ground, thus...

PhysicsThere are two ways in which this problem can be solved. First way is to write the equation of motion for an object that is thrown up with initial speed `v_0` subjected to gravitational acceleration...

PhysicsFor this question, you can use: `dy= V_(iy) * t + 1/2at^2` Now first we shall assign the values needed to solve for the time required. `dy` = 4 (direction is down) `V_iy` = 5m * sin (35) =...

Physics`V = 4700(1t/49)^2` The rate of change of volume of the tank is given by the first derivative. `(dV)/dt = 4700xx2(1t/49)xx(1/49)` (1) If we need the rate of change at any time what we...

PhysicsWe know that the simplest equation of motion for an oscillating massspring system is of sinusoidal form having an initial phase zero. `y(t) =A*sin(omega*t)` The speed of the mass is the first...

PhysicsThe simple harmonic motion is by definition the motion of a point which is subjected to a force that is proportional to the deviation of the point from the equilibrium position``. For mass spring...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...To solve this problem, first we should remember the following expressions: `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A sin(omega*t + phi)` where: x = length/distance = 5.0 cm v =...

PhysicsTo calculate the block's mass, first calculate the energy of the system using the formula `E=1/2kA^2` , where E is the energy in Joules, k is the spring constant in N/m, and A is the amplitude in...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...We know that the angular frequency can be expressed in different forms. `omega = (2*pi)/(T)` `omega = 2*pi*F` `omega = sqrt(k/m)` By equating 1 and 3 we can solve for the spring constant....

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...We first have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A sin(omega*t + phi)` where: x =...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...In dealing with Oscillatory Motion, we should take note of the following terms: P = period f = frequency`omega` = angular frequency v = speed A = amplitude E = energy x = length`phi` = phase...

PhysicsThe shovel is used to lift 3.29 kg of snow and set it into motion. It leaves the shovel at 2.94 m/s at a height of 0.562 m. The work done during the process is equal to the total energy gained by...

PhysicsGiven: Spring constant (k) = 10 N/m amplitude = x(max) = 8.0 cm = 0.08 m speed (v) = 30.0cm/s 0.3 m/s 1. Calculate the mass of the block `omega = (v)/(x_(max)) = sqrt(k/m)` `omega = (0.3)/(0.08) =...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...We first have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A sin(omega*t + phi)` where: mass =...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...First, we have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A sin(omega*t + phi)` where: x =...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...To solve for the phase constant, we should take note of the following expressions: `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A sin(omega*t + phi)` where: x = length/distance = 5.0 cm v =...

PhysicsTo solve this problem, the knowledge of the Hooke’s law is necessary. Given: Spring constant (k) = 10 N/m amplitude = x(max) = 8.0 cm = 0.08 m speed (v) = 30.0cm/s 0.3 m/s 1. Calculate the mass...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...First, we have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. Consider the following expressions: `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A...

PhysicsA 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz. At t = 0 s, the...First, we have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. Consider the following expressions: `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A...

PhysicsFirst, we have to solve for the phase constant and the amplitude in order to get the position at t = 0.4s. Consider the following expressions: `x(t) = A cos(omega*t + phi)` `v(t) = dx/dt = omega A...

PhysicsThe simple harmonic motion of a spring can be described by the following equations. `x = Asinomegat = Asin(sqrt(k/m)t)` `dotx^2 = (omega)^2(A^2x^2)` x = Displacement from the original position...

PhysicsA bullet with a mass 8 g is fired into a 2.5 kg pendulum bob initially at rest. It sticks to the bob and as a result the bob rises a vertical distance of 6 cm. Use the law of conservation of...

PhysicsTwo carts with mass of 4 kg and 3 kg move toward each other on a frictionless track with velocity 5 m/s. They collide and stick together; the speed of the final structure has to be determined. The...

PhysicsThe parachutist jumps from an airplane traveling at 250 km/h from a height of 500 m. When he lands his speed is 0 km/h. The horizontal distance covered by the parachutist has to be determined. This...

PhysicsThe ball has to be thrown on a ledge that is 5 m above the point from which it is being thrown and 60 m away. Let the speed at which the ball is thrown be v and the angle with the horizontal at...

PhysicsUsing Newtons second law of motion F = ma to the motion of the base ball `390 = 0.19xxa` `a = 2052.63m/s^2` Negative sign is for deceleration. Using `V^2 = U^2+2aS` `0 =...

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