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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?
What happens to the size of the force on the proton if the electron is moved 0.50 m closer to the proton.
A sticky hockey puck slides along a frictionless horizontal ice surface at 75m/s in the + x-direction. what is the angle of their final velocity vector below the +x direction
A series AC circuit contains a resistor, an inductor of 230 mH, a capacitor of 4.30 µF, and a source with ?Vmax = 240 V operating at 50.0 Hz. obtain the phase angle between the current and the source voltage
Oxygen (O2) gas within a piston-cylinder assembly undergoes an expansion from a volume V1= 0.02 m3 to volume V2 = 0.03 m3. The relationship between pressure and volume throughout the procedure is p=AV-1+B, where A= 0.06 bar.m3 and B= 3.0 bar. For the..
An object with mass 3.7 kg is executing simple harmonic motion, attached to a spring with spring constant 280 N/m . When the object is 0.020 mfrom its equilibrium position, it is moving with a speed of 0.65 m/s . Calculate the amplitude of the mot..
pipe open at one end only has a fundamental frequency of 237 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off a portion of the open end. Currently, when both pipes vibrate at their fundamental frequencies, a beat ..
A potter's wheel moves uniformly from rest to an angular speed of 0.23 rev/s in 35.0 s. Find its angular acceleration in radians per second
question1a 27 kg chair initially at rest on a horizontal floor requires a 377 n horizontal force to set it in motion.
Two loudspeakers are located 3.15 m apart on an outdoor stage. A listener is 16.3 m from one and 17.4 m from the other. During the sound chek, a signal generator drives the two speakers in phase with the same amplitude and frequency. The transmitted ..
The steel I-beam in the drawing has a weight of 3.51 × 103 N and is being lifted at a constant velocity. What is the tension in each cable attached to its ends
a particle of charge q is fixed at the origin of an xy coordinate system. at t 0 a particle m 0.771 g q 4.15 microc
A point charge q1=4nC is placed at the origin, and a second point charge q2= -3nC is placed on the x-axis at x= 20cm. A third point charge q3=2 nC is to be placed on the x-axis between q1 and q2.
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