is 1.2 m above the ground. At position C (2.2 m above the ground). Olive project

Question

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 thsinformation to tili the table(PE is the potential energy, KE is the kinetic energy, TME is the total mechanic energy, g-10m/s 2, No unit is needed, result with one decimal for the speed column) 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 O m/s at position A and is a height of 3.0-m above the ground. At position B, Olive KE (U) TME U) Speed (m/s) Position Height (m) PE (U) A 3.0 " 0.0 B 12 C 2.2 0

Explanation / Answer

given

g = 10 m/s2

using equations for PE = m g h

and

KE = 1/2 m v2

and

time = distance / velocity

we get using 3m PE = 26 X 10 X 3

PE = 780 J

like so on

at A "

height 3 m , PE = 780 J , KE = 0 J , time = 780 J , speed = 0 m/s

at B :

height 1.2 m , PE = 312 J , KE = 452.53 J , time = 780 J , speed = 5.9 m/s

at C :

height 2.2 m , PE = 572 J , KE = 560 J , time = 780 J , speed = 4 m/s

at F :

height 0 m , PE = 0 J , KE = 0 J, time = 780 J , speed = 7.7m/s

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