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1. Calculate the energy needed to accelerate a spaceship of mass 10,000 kg to a speed of 0.3c for intergalactic space exploration. Compare this with a projected annual energy usage on Earth of 1021 J.
2. Derive Equation for the relativistic kinetic energy and show all the steps, especially the integration by parts.
3. A test automobile of mass 1000 kg moving at high speed crashes into a wall. The average temperature of the car is measured to rise by 0.5°C after the wreck. What is the change in mass of the car? Where does this change in mass come from? (Assume the average tions useful for producing energy through nuclear fusion.
(a) Assume the deuterium (2H) and tritium (3H) nuclei are at rest and use the atomic mass units of the masses in Appendix 8 to calculate the mass- energy imbalance in this reaction. This amount of energy is given up when this nuclear reaction occurs.
(b) What percentage of the initial rest energy is given up?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
Question: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ?
What is the maximum displacement of the bridge deck?
What is the magnitude of the current in the wire as a function of time?
Questions on blackbody, Infra-Red Detectors & Optic Lens and Digital Image.
Illustrate the cause of the components accelerating from rest down the conveyor.
Calculate the dc voltage applied to the circuit.
Quadrupole moments in the shell model
Determine the tension in each string
Calculate the smallest coefficient of static friction necessary for mass A to remain stationary.
Evaluate maximum altitude?
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