someone swings down pendulem and rescue the lady in distress by grabbing her. inelastic collision at the equallibrium point o fthe pendulem. his mass is 90kg her mass is 50kg. what is the masimum height of the oppsite legde that he. he is standing on a 10m edge

Are you taking an exam?

NO is a homeowork problem that is due tommorrow and i cant figure out how to do it

Well, his initial position gives you the KE at the bottom, just before grabbing her. mgh=1/2 mv^2 or v= sqrt2gh

Now, when grabbing, figure conservation of momentum

(M+m)Vf=M(sqrt2gh) where M is his mass, m her mass. Find Vf.
Now, knowing the Vf, calculate the KE..

and set it equal to final GPE
1/2 (m+M)vF^2=(m+M)g*hf
solve for hf

a lot of algebra.

thank you so much

what is sqrt2

sqrt2 is the square root of 2, approximately 1.414

thanks i wasn't sure if it was just the 2 or the whole thing