d A block with mass m=0.4kg is released from rest and slides a distance d=2.5m down a frictionless inclined plane where it strikes a spring of spring constant K=8N/m. 0 = 30° h = d sin 0 a. Find the speed of the block just before it hits the spring. b. Show that the potential energy after the strike is described by the function U(x)= 4x² -2x assuming Uo=0J c. Find the maximum compression x of the spring. d. Determine the maximum speed of the block after the collision. e. The spring was shown to be non-ideal. Is described by the function U(x)= 4x²-x³ Find the equilibrium points for the non-ideal spring.

d A block with mass m=0.4kg is released from rest and slides a distance d=2.5m down a frictionless inclined plane where it strikes a spring of spring constant K=8N/m. 0 = 30° h = d sin 0 a. Find the speed of the block just before it hits the spring. b. Show that the potential energy after the strike is described by the function U(x)= 4x² -2x assuming Uo=0J c. Find the maximum compression x of the spring. d. Determine the maximum speed of the block after the collision. e. The spring was shown to be non-ideal. Is described by the function U(x)= 4x²-x³ Find the equilibrium points for the non-ideal spring.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A block with mass m=0.4kg is released from rest and slides a distance d=2.5m down a
frictionless inclined plane where it strikes a spring of spring constant K=8N/m.
0 = 30° h= d sin 0
a. Find the speed of the block just before it hits the spring.
b. Show that the potential energy after the strike is described by
the function U(x)= 4x² -2x assuming Uo=0J
c. Find the maximum compression x of the spring.
d. Determine the maximum speed of the block after the collision.
e. The spring was shown to be non-ideal. Is described by the function U(x)= 4x²-x³
Find the equilibrium points for the non-ideal spring.
3.

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