Problem 1382. Schwarzschild radius

Created by Claudio Gelmi

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; "><span style="">Compute the</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style=""> </span></span><a target='_blank' href = "/#null"><span style=""><span style="">Schwarzschild radius</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; "><span style=""> for objects of mass m (kg). Use c = 299,792.458 km/s and G = 6.6738*10^-11 N*(m/kg)^2. Your function should give the result in m.</span></span></div></div></div>

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Last Solution submitted on Nov 17, 2022

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3 Comments

James on 25 Mar 2013

Please check the answers for the test suite, as I think there may be a unit discrepancy here with c in km/sec and G in N*(m/kg)^2.

Claudio Gelmi on 2 Apr 2013

Thanks James and Vitor for noticing the mistake! All fixed and rescored...

Christian Schröder on 3 Nov 2022

The problem doesn't mention it, but you should round the result to four decimal digits.

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Solution 222522

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1 Comment

Vitor Cruz on 24 Mar 2013

The Schwarzschild radius is of the order of milimiters for the Earth (8.881e-3 meters) and the order of kilometers for the Sun (2,97024415e3 meters)!

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Problem 1382. Schwarzschild radius

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Problem 1382. Schwarzschild radius

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