Two planets of equal mass moving in opposite directions collide and coalesce at a distance d from the Sun. At the time of their elastic collision one planet is at perihelion and the other at aphelion, and both orbits have the same eccentricity e. Find the semi-major axis of the orbit of the joint mass.

Uppose we consider the system of the three capacitors as a single "equivalent" capacitor. given the charges of the three individual capacitors calculated in the previous part, find the total charge qtot for this equivalent capacitor. express your answer in terms of v and c.

Aheat engine that operates on a carnot cycle has an efficiency of 0.420 when its low-temperature reservoir is at 10 ∘c.part aby how many degrees celsius must you increase the temperature of the high-temperature reservoir to increase the efficiency to 0.600 if you continue to use the same low-temperature reservoir?

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