A particle moving along the y -axis has the potential energy U = 2.2y^3 J, where

Question

A particle moving along the y -axis has the potential energy U = 2.2y^3 J, where y is in m. What is the y-component of the force on the particle at y = 0 m. Express your answer to two significant figures and include the appropriate units. What is the y-component of the force on the particle at y = 1 m? Express your answer to two significant figures and include the appropriate units. What is the y-component of the force on the parade at y = 2 m? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

here,

U = 2.2 y^3
du/dy = u' = 2.2*3 * y^2 = 6.6 * y^2
u'' = 6.6*2*y^2 = 13.2*y

Part A:
F = -u'
F = - 6.6*y^2 ----------------(1)

at y = 0

F = 0

Part B:
using y = 1 m in eqn 1

F = -6.6*1
F = -6.6 N

part C:
using y = 2 m

F = -6.6 * 2^2
F = -26.4 N

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