Jupiter is the largest planet in our solar system, having amass and radius that
ID: 1727631 • Letter: J
Question
Jupiter is the largest planet in our solar system, having amass and radius that are, respectively, 318 and 11.2 times that ofearth. Suppose that an object falls from rest near the surface ofeach planet, and that each object falls the same distance beforestriking the ground. Determine the ratio of the time of fallon Jupiter to that on earth. answer: 0.628 Jupiter is the largest planet in our solar system, having amass and radius that are, respectively, 318 and 11.2 times that ofearth. Suppose that an object falls from rest near the surface ofeach planet, and that each object falls the same distance beforestriking the ground. Determine the ratio of the time of fallon Jupiter to that on earth. answer: 0.628Explanation / Answer
. Accelerationdue to gravity is : . gEarth = GM /R2 = 9.8 m/s2 for Earth. . For Jupiter : gJupiter = G* (318 M ) / (11.2 R)2 . = (318 / 11.2 ) * 9.8 m /s2 = 24.84 m/s2 . From equation of motion we have : . v = u + g t . or v = 0 + g t . or t = v / g = ( 2g h )/ g = (2 h / g ) . For Earth : t1 = (2 h /gEarth ) ; For Jupiter : t2 = (2 h/ gJupiter ) . Hence ratio of the time of fall on Jupiter to that onearth is : . t2 / t1 = (2 h/ gJupiter ) / (2 h / gEarth ) ( since distance is same ) . = ( gEarth / gJupiter ) = ( 9.8 / 24.84) = -------- . Solve the above. . Hope this helps u!Related Questions
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