Work, Energy and Power

Question

Olive Udadi is at the park with her father. The 26-kg Olive is on a swing following the path as shown. Olive has a speed of 0 m/s at position A and is a height of 3.0-m above the ground. At position B, Olive is 1.2 m above the ground. At position C (2.2 m above the ground), Olive projects from the seat and travels as a projectile along the path shown. At point F, Olive is a mere picometer above the ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table. (TME=total mechanical energy) 

Position A= Height (m) 3

Position B= Height (m) 1.2

Position C= Height (m) 2.2

Position F= Height (m) 0

Find PE (J), KE(J), TME (J) , SPEED (m/s) from positions A,B,C, & F.

Answer 1

HA = 3m, PE = 26*g*3 J , KE =0 J , t= 0

HB =1.2 m, PE = 26*g*1.2 J, KE = 26*g * (3.0 - 1.2) J , t = sqrt ( 2*1.2/g)

HC = 2.2 m, PE = 26*6*2.2 J, KE = 26*g *( 3.0 - 2.2) J,

HF =0 m PE = 0 , KE = 26*g * 3.0 J

use g = 9.8