An astronaut on the surface of theMoon fires a cannon to launch an experiment pa

Question

An astronaut on the surface of theMoon fires a cannon to launch an experiment package, whichleaves the barrel moving horizontally. Assume that the free-fallacceleration on the Moon is one sixth that on the Earth. a) what must be the muzzle speed of the package so that ittravels completely around the moon and returns to its orginallocation in km/s. b) how long does this trip around the Moon take inhours? An astronaut on the surface of theMoon fires a cannon to launch an experiment package, whichleaves the barrel moving horizontally. Assume that the free-fallacceleration on the Moon is one sixth that on the Earth. a) what must be the muzzle speed of the package so that ittravels completely around the moon and returns to its orginallocation in km/s. b) how long does this trip around the Moon take inhours?

Explanation / Answer

you need to find the speed that will put this object intoorbit. the formula is: vorbit=(r*gorbit) the radius of the moon is 1737 km, andgorbit=gmoon since the object will beorbiting at ground level. v=(1737000*9.8/6)=1684 m/s=1.684 km/s the circumference of the moon is 1737*2=10910 km, so it willtake 10910/1.684=6479 seconds=1.80 hrs

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