A spring is used to stop a 32 kg metal sphere which is moving down a 30° incline, as shown in Figure Q2(a). The spring has a constant k 33 kN/m and initially compressed 50 mm. Given that the velocity of the metal sphere is 5.5 m/s when it is 5 m from the spring and the friction can be neglected. (Gravity g = 9.81 m/s) (a) Determine all the kinetic and potential energy components at the initial and final position of the metal sphere. (Let the x be the additional compression of the spring). (i) Calculate the maximum additional deformation of the spring requires to bring the metal sphere to rest. (ii) (iii) Determine after the metal sphere come into rest will it rebound upwards the slope or not? if can how much it will move up again the slope until it temporary at reset otherwise stated the reason why the metal sphere would stay at rest.

A spring is used to stop a 32 kg metal sphere which is moving down a 30° incline, as shown in Figure Q2(a). The spring has a constant k 33 kN/m and initially compressed 50 mm. Given that the velocity of the metal sphere is 5.5 m/s when it is 5 m from the spring and the friction can be neglected. (Gravity g = 9.81 m/s) (a) Determine all the kinetic and potential energy components at the initial and final position of the metal sphere. (Let the x be the additional compression of the spring). (i) Calculate the maximum additional deformation of the spring requires to bring the metal sphere to rest. (ii) (iii) Determine after the metal sphere come into rest will it rebound upwards the slope or not? if can how much it will move up again the slope until it temporary at reset otherwise stated the reason why the metal sphere would stay at rest.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

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A spring is used to stop a 32 kg metal sphere which is moving down a 30°
incline, as shown in Figure Q2(a). The spring has a constant k = 33 kN/m and
initially compressed 50 mm. Given that the velocity of the metal sphere is 5.5
m/s when it is 5 m from the spring and the friction can be neglected.
(Gravity g = 9.81 m/s?)
Q2. (a)
Determine all the kinetic and potential energy components at the initial
(i)
and final position of the metal sphere. (Let the x be the additional
compression of the spring).
(ii)
Calculate the maximum additional deformation of the spring requires to
bring the metal sphere to rest.
(iii) Determine after the metal sphere come into rest will it rebound upwards
the slope or not? if can how much it will move up again the slope until
it temporary at reset otherwise stated the reason why the metal sphere
would stay at rest.
5.5m/s
m=32kg
5m
30
Figure Q2(a)

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