TP 8.22

Given: m = 1.40 kg

            k = 734 N/m

at x = 0.00 m:

U_s = 1/2 k x² = 1/2 (734 N/m)(0 m)² = 0 J

K = 1/2 m v² = 1/2 (1.40 kg)(0.950 m/s)² = 0.632 J

E = U_s + K = 0.632 J

at x = 0.01 m:

U_s = 1/2 k x² = 1/2 (734 N/m)(0.01 m)² = 0.0367 J

K = E - U_s = 0.632 J - 0.0367 J =  0.595 J

at x = 0.02 m:

U_s = 1/2 k x² = 1/2 (734 N/m)(0.02 m)² = 0.1468 J = 0.147 J

K = E - U_s = 0.632 J - 0.1468 J =  0.4852 J = 0.485 J

at x = 0.03 m:

U_s = 1/2 k x² = 1/2 (734 N/m)(0.03 m)² = 0.3303J = 0.330 J

K = E - U_s = 0.632 J - 0.3303 J = 0.3017J =  0.302 J

at x = 0.04 m:

U_s = 1/2 k x² = 1/2 (734 N/m)(0.04 m)² = 0.5872 J = 0.587 J

K = E - U_s = 0.632 J - 0.587 J =  0.0448 J