A spring of natural length 30 cm is attached to the floor directly below an identical spring that is attached to the ceiling. The ceiling is at a height of 3 m above the floor. A ball of mass 3 kg and radius 5 cm is projected vertically downwards with a speed of 10 m/s from midway between the two springs. (a) If the lower spring is compressed to a length of 10 cm when the ball first comes to rest, calculate the spring constant of the springs. (b) After bouncing off the lower spring, the ball impacts the upper spring. Calculate the length of the upper spring when the ball comes to rest for the second time.
A spring of natural length 30 cm is attached to the floor directly below an identical spring that is attached to the ceiling. The ceiling is at a height of 3 m above the floor. A ball of mass 3 kg and radius 5 cm is projected vertically downwards with a speed of 10 m/s from midway between the two springs. (a) If the lower spring is compressed to a length of 10 cm when the ball first comes to rest, calculate the spring constant of the springs. (b) After bouncing off the lower spring, the ball impacts the upper spring. Calculate the length of the upper spring when the ball comes to rest for the second time.
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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A spring of natural length 30 cm is attached to the floor directly below an identical spring that is attached to the ceiling. The ceiling is at a height of 3 m above the floor. A ball of mass 3 kg and radius 5 cm is projected vertically downwards with a speed of 10 m/s from midway between the two springs.
(a) If the lower spring is compressed to a length of 10 cm when the ball first comes to rest, calculate the spring constant of the springs.
(b) After bouncing off the lower spring, the ball impacts the upper spring. Calculate the length of the upper spring when the ball comes to rest for the second time.
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