initial kinetic energy J final kinetic energy Can you determ

initial kinetic energy	J
final kinetic energy	Can you determine the change in gravitational potential energy for the object as it falls during the first segment of travel? How is the change in kinetic energy for the first segment of travel related to the change in potential energy? J
change in kinetic energy	How is the final kinetic energy related to the change in kinetic energy? J

Solution

mass m = 6.06 kg

(b). Initial kinetic energy in the second meter of fall K = Final kinetic energy in the first meter of fall

                                                                             = 118.776 J

We know K = (1/2) mv ²

from this initial speed of object in the second meter of fall v = (2K/m) ^1/2

                                                                                      = [2(118.776)/6.06] ^1/2

                                                                                      = 6.26 m/s

Distance travelled S = 1m

Accleration a = g = 9.8 m/s ²

Final speed of the object after second meter of the fall V = ?

From the relation V ² - v ² = 2aS

              V ² = v ² + 2as

                                      = (6.26) ²+(2x9.8x1)

                                      = 58.8

                                   V = 7.668 m/s

Final kinetic energy of the object K \' = (1/2) mV ²

                                                     = 0.5 x6.06 x7.668 ²

                                                     = 178.164 J

Change in kinetic energy = K \' - K

                                     = 178.164 J - 118.776 J

                                     = 59.388 J