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1. A rocket ( initial mass m0) needs to use its engines to hover stationary, just above the ground. a) If it can afford to burn no more than a mass lamda m0 of its fuel, for how long cAN it hover (taking v(ex) to be constant)? b) if v(ex) roughly equals 3000 m/s and lamda roughly equals to 10%, for how long could the rocket hover just above the earth's surface?
2. consider a rigid body rotating with angular velocity omega about a fixed axis 9 e.g. a door rotating about the axis defined by its hinges.) Take the axis of rotation to be the z axis and use cylindrical polar co ordinates RHO ALFA, PHI ALFA, Z ALFA TO SPECIFY THE POSITIONS OF THE PARTICLES ALFA= 1,.., N THAT UP THE BODY. A) SHOW THE VELOCITY OF THE PARTICLE ALFA IS RHO ALFA OMEGA in the phi direction.
b) Hence show that the z component of the angular momentum l alfa of particle alfa is m alfa rho^2 alfa omega. c/ show total z component angular momentum can be written as Lz=I omega where I is the moment of inertia (for axis in question). I = SIGMA alfa=1 to N m alfa rho^2 alfa
A ball of mas 0.250. Kg is attached to a string 0.750 m long. The ball is swung in a s pendulum-type motion such that it has a speed of 6.40 m/s, What is the corresponding tension in the string
A particle moves along x axis according to equations x =2.00+3.00t-1.00t2, where x is in meters and t seconds. At t=3.00s, determine (a) the position of particle. (b) its velocity, and (c ) its acceleration.
A gamma-ray photon produces an electron and a positron, each with a kinetic energy of 259keV, Determine the energy of the photon
You want to practice zero g, i.e. not feeling any gravity. What velocity (ft/s) is required to cancel gravity at the top of the circle
In a college homecoming competition, eighteen students lift a sports car. Though holding the car off the ground, each student exerts an upward force of 390 N. What is the mass of the car in kilograms? What is its weight in pounds.
Three resistors, R1 = 30? , R2 = 71? , and R3=R, are connected in parallel with a 12Vbattery, Find the value of resistance R and currenrt through each resistor
A parallel-plate capacitor is constructed using a dielectric material whose dielectric constant is 3.90 and whose dielectric strength is 1.80 multiply.gif 108 V/m. Find the minimum area of the capacitor plates
A small circular loop of wire of radius 5.0 cm and resistance R = 1.7 10-3 Ω is centered inside a large circular loop of wire of radius 50 cm, Find the average current in the smaller loop during this time interval
A sled is pulled with a horizontal force of 20 N along a level trail, and the acceleration is found to be 0.35 m/s2. An extra mass m = 4.2 kg is placed on the sled. If the same force is just barely able to keep the sled moving, what is the coeffic..
Two small silver spheres, each with a mass of 12.0 g, are separated by 1.00 m. Calculate the fraction of the electrons in one sphere
Ultrasound with a frequency of 4.288 MHz can be used to produce images of the human body. what is the wavelength in the body
A man pulls a 50.0 kg box at constant speed across the floor. What is the value of the normal force
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