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A comet orbits a star. At its closest approach (r=4*10^10 km) it has a speed of v=50 km/s. How fast is the comet at its maximum distance (R=10*10^10 km)?
Could someone verify my results?
F=GMm/r^2=mv^2/r
f=GMm/R^2=mV^2/R
F/f = R^2/r^2 = Rv^2/rV^2 -> R/r = v^2/V^2
R=2.5r -> 2.5r/r = v^2/V^2 -> V^2 = 2500/2.5 km^2/s^2 -> V = √1000 km/s
Could someone verify my results?
F=GMm/r^2=mv^2/r
f=GMm/R^2=mV^2/R
F/f = R^2/r^2 = Rv^2/rV^2 -> R/r = v^2/V^2
R=2.5r -> 2.5r/r = v^2/V^2 -> V^2 = 2500/2.5 km^2/s^2 -> V = √1000 km/s