Question
The formula V=(square root) 2GM/r
represents the relationship of the escape velocity, V, from the surface of the earth, the gravitational constant, G, the mass of the earth, M, and the radius of the earth, r. If G=6.67\times10^-11, m=5.98×10^24 kg, and r=6.38\times10^6, find v.
represents the relationship of the escape velocity, V, from the surface of the earth, the gravitational constant, G, the mass of the earth, M, and the radius of the earth, r. If G=6.67\times10^-11, m=5.98×10^24 kg, and r=6.38\times10^6, find v.
Answers
oobleck
so just plug in your numbers.
v^2 = 2(6.67*10^-11)(5.98*10^24)(6.38*10^6)
= (2*6.67*5.98*6.38)*10^(-11+24+6)
= 508.953*10^19
= 50.8953*10^20
v = 7.134*10^10
v^2 = 2(6.67*10^-11)(5.98*10^24)(6.38*10^6)
= (2*6.67*5.98*6.38)*10^(-11+24+6)
= 508.953*10^19
= 50.8953*10^20
v = 7.134*10^10
Sydney Bauer
My professor said that was a wrong answer and that it should be a 5-digit number so an integer between 10,000 and 99,999.
oobleck
well, I can see my mistake.
I multiplied by r, instead of dividing.
Now you know how to fix it.
I multiplied by r, instead of dividing.
Now you know how to fix it.
Sydney Bauer
I got the answer 6877*10^20/5500. I'm not sure what I'm doing wrong here.