Answer to Question #16154 in Mechanics | Relativity for Amber rojas
A 22 kg child is on a slide in a playground. She climbs 4.50 m to the top. Determine the velocity that the child would leave the slide if it was frictionless.
When the child is at the top of the slide, its potential energy is
P = 22[kg]*9.8[m/s²]*4.5[m] = 970.2 J.
When the child slides down, its potential energy turns into kinetic energy:
P = K = 22[kg]*(V[m/s])²/2 = 970.2 J.
V = √(970.2*2/22)[m/s] ≈ 9.39 [m/s].
So, the velocity of a child will be about 9.39 [m/s].