Algebraic Solution C=△K+ △U=△E For spaceship 1: Wi=(K-Ko+(r-U0 0,0=0(W7=K+U For spaceship 2: W2=(K-Ko+(r-00 Ko= m(or)2, U0=0 E) W2=KF+U,-m(or)2 W,>W2 So spaceship 1 will need more fuel Physics 121: Lecture 15, Pg 10Physics 121: Lecture 15, Pg 10 Algebraic Solution WNC = K + U = E For spaceship 1: W1 = (Kf - K0 ) + (Uf - U0 ) K0 = 0 , U0 = 0 W1 = Kf + Uf For spaceship 2: W2 = (Kf - K0 ) + (Uf - U0 ) K0 = m(r)2 ,U0 = 0 W2 = Kf + Uf - m(r)2 W1 >W2 So spaceship 1 will need more fuel