As a pendulum swings back and forth, its total energy is 16 J. What is its potential energy at 3/4 its maximum height?

asked Sep 23, 2018 143k views

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3 votes

Answer:

12 Joules

Step-by-step explanation:

Blnks answered Sep 24, 2018

by Blnks

8.2k points

3 votes

Let height h go from 0 ⇒ 1:

E = E_k_i_n + E_p_o_t = 16

at h = 3/4:

$E = (1)/(4) E_k_i_n + (3)/(4) E_p_o_t = 16 \\ \\ E = 4 + 12 = 16 \\ \\ E_k_i_n = 4J \\ \\ E_p_o_t = 12J$

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