The scalar potential transforms like the temporal component of a four-vector why the statement true?
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The scalar potential
transforms like the temporal component of a four-vector |
why the statement true?
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Solved in 2 steps
- A satellite in Earth orbit has a mass of 91 kg and is at an altitude of 2.04 x 10° m. (Assume that U = 0 as r→ o.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.) NA hoop of radius RH and mass mH and a solid cylinder of radius Rc and mass mc are released simultaneously at the top of a plane ramp of length L inclined at angle θ above horizontal. Which reaches the bottom first, and what is the speed of each there?In the figure, a small block of mass m - 0.039 kg can slide along the frictionless loop-the-loop, with loop radius R-18 cm. The block is released from rest at point P, at heighth-6R above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P. (d) at point Q, and (e) at the top of the loop? (a) Number 0.34 (b) Number 0.275 (c) Number 0.41 (d) Number i 0.14 (e) Number i Units Units Units h 2010 Units J R Units J