Livoa LogoLivoa
GPE + KE Math
Point A
GPE = mgh
KE = 0
holding ball,
starting to move
h
∴ Total E = mgh + 0 = mgh
Point B
GPE = mgx
v² = 0² + 2g(h - x)
= 2gh - 2gx
x
Point C
GPE = mg(0) = 0
v² = 0² + 2gh = 2gh
KE = ½ m × 2gh = mgh
Total E = mgh
0
Ground
W = mg, work done = force × distance
GPE = mgh(w) × h, KE = ½ mv²
Height vs Time
Time
GPE
KE
middle
Ball mass = m, weight = mg (g is gravity)
v² = u² + 2as
Point B Total E = ½ m (2gh - 2gx) + mgx = mgh
* GPE's mgh uses the distance left.
* KE's ½ mv², v² = u² + 2as uses the distance covered.

TEST

by Imam

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