SOLUTION: Question: When is the Kinetic Energy equal for three people of the following weights: 170lb, 140lb and 100 lb. KE = 1/2 mass * velocity squared How do I write the equation an

Algebra ->  Average -> SOLUTION: Question: When is the Kinetic Energy equal for three people of the following weights: 170lb, 140lb and 100 lb. KE = 1/2 mass * velocity squared How do I write the equation an      Log On


   

Question 914119: Question:
When is the Kinetic Energy equal for three people of the following weights:
170lb, 140lb and 100 lb.
KE = 1/2 mass * velocity squared
How do I write the equation and solve it?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
IF the Kinetic Energy is equal for the three people, then...
85v%5B1%5D%5E2+=+70v%5B2%5D%5E2+=+50v%5B3%5D%5E2+****
Re TY:
70v%5B2%5D%5E2+=+50v%5B3%5D%5E2+0rv%5B2%5D%5E2+=+%2850%2F70%29v%5B3%5D%5E2 0r v%5B2%5D%5E2+=+%285%2F7%29v%5B3%5D%5E2
& 85v%5B1%5D%5E2+=+50v%5B3%5D%5E2+0r v%5B1%5D+=+%2850%2F85%29v%5B3%5D%5E20rv%5B1%5D+=+%2810%2F17%29v%5B3%5D%5E2
........
IF..v[3]^2 = 49mph, lets say
v%5B2%5D%5E2+=+%285%2F7%29v%5B3%5D%5E2 for example
v%5B2%5D%5E2+=+%285%2F7%2949
v[2} = 35mph
and
v[1] = (10/17)v[3]^2 = 28.8235mph
And..
85%2A28.8235+=+70%2A35+=+50%2A49 = 2450
The idea being: the less weight... the faster they must travel to generate the same Kinetic Energy