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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 proton is fired directly into a uniform electric field that is able to bring the charge momen- tarily to rest. How much work does the electric field do in stopping the proton
A peregrine falcon dives at a pigeon. The falcon starts with zero downward velocity and dives with the free-fall acceleration. If the pigeon is 81.5 m below the initial height of the falcon, how long does it take the falcon to intercept the pigeon..
A 1200-kg car carrying four 88 kg people travels over a "washboard" dirt road with corrugations 4.3 m apart. The car bounces with highest amplitude while its speed is 13 km/h. While the car stops, and people get out, by how much does the car body ..
A 4.79 crate is suspended from the end of a short vertical rope of negligible mass. An upward force is applied to the end of rope, and the height of the crate above its initial position is given by + (0.61) what is the magnitude of the force when ..
If the partial pressure of water vapor is 47 mm Hg in the lungs at 760 mm Hg pressure, what percentage of air does the water vapor constitue
Damped forced oscillations, A single stage vibration isolation system consists of a heavy granite slab (100 kg) sitting on legs which act as a vertical damped spring. The "Q" (Quality Factor) of the system is 8.0, and the velocity damping coeffici..
Write down an equation for the radial component
In compressing the spring in a toy dart gun, 0.6 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.08 kg. What is the dart's speed
One of the new events in the 2002 Winter Olympics was the sport of skeleton (see photo), In the absence of nonconservative forces, such as friction and air resistance, what would be the speed of a rider at the bottom of the track
A 25 horsepower motor consumes 21 kW of electricity, Calculate the heat loss of the motor (kW) and Calculate the efficiency of the motor
Consider an equilateral triangle 12cm on a side. If a charge of 6*10^-5 C is placed at each vertex, find the force on the top charge
The rectangle shown in Figure P3.57 has sides parallel to the x and y axes. Find the perimeter of the rectangle
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