Relativistic mass/kinetic energy..?
here are the questions guys:
1. Calculate the relativistic mass of a proton moving at a speed 200,000,000 m/s = 2.00 ×10^8 m/s
The mass of a proton at rest: m0=1.67262×10^-27 kg
The speed of light in vacuum: c = 3 ×10^8 m/s
2. Calculate the relativistic kinetic energy of a proton in previous question.
3. Consider a hydrogen molecule H2 (2 protons and 2 neutrons) and an oxygen molecule O2 (16 protons and 16 neutrons) that randomly move in the air. At a kinetic temperature of 0°C, which molecule moves faster?
Calculate their speeds and find out by how much one molecule moves faster than the other one.
m(subscript 'p') = 1.67262 x 10^-27 kg
m(subscript 'n') = 1.67493 x 10^-27 kg
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1. "Relativistic mass". Ugh. OK, this obsolete term means m * gamma, where gamma = 1/sqrt(1 - v^2/c^2). So just plug in the numbers since you know v, c and m.
2. The kinetic energy is mc^2 - m0c^2 = (m - m0)c^2 where m0 = the rest mass and m = the "relativistic mass". Again, just plug in th enumbers.
3. Kinetic energy (non-relativistic) = (1/2)mv^2. If two things have the same KE but different masses, which has the larger value of v?
The calculation is misguided. If the guy interior the spaceship measures its length as 50m, that's the 'suitable length'; the pronounced length is smaller. pronounced length = 50 x ?(a million - v² / c²). = 50 x ?(a million - 0.seventy 5²).. = 33m on the different hand, pronounced mass will develop - you divide relax mass by ?(a million - v² / c²). As yet another answer pronounced, the contraction in basic terms applies to the the direction in direction of/faraway from the observer. "Mass is proportional to volume" isn't suitable for relativistic calculations and easily refers to a textile of continuous density under non-relativistic circumstances. If certainty the plain density of an merchandise will develop under relativistic circumstances because of the mass develop (the extra suitable kinetic capacity will develop the pronounced mass because of the fact E=mc²) and the size contraction reduces the pronounced volume.