1Conversion FactorsAlice and Bob are two cosmic physicists who grew up on different planets. They meet at an interplanetary symposiumon weights and measures to discuss the establishment of a universal system of units. Alice proudly describes the meritsof the metric system used on Earth (kg, m, s). Bob describes the merits of the planetary system used everywhere elsein the solar system with equal pride. Bob's system uses planetary mass units (pmu), planetary length units (plu), andplanetary time units (ptu).The constant factors relating the basic mass, length, and time standards of the two systems are µ, 2, and r:1 kg=1 pmu1m=1 plu1s1 ptu(For example, if the plu were an inch, we would have 1 =1 inch1m* 39.37.)What are the conversion factors needed to convert the following from metric to planetary units?(a) Acceleration(b) Force(c) Energy(d) Frequency(e) DensityExpress your results as products of u, a, and r.

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