Concept explainers
Part (a)
Upward speed of ball when released
Part (a)
Answer to Problem 39P
Solution:
Explanation of Solution
Given:
Mass of ball is
Compression is
Spring constant is
Formula used: Kinetic energy of an object can be obtained by:
Gravitational potential energy of an object can be obtained by:
Where, m is the mass, g is the gravitational acceleration and h is the height.
Calculation:
Applying conservation of energy, we equate the initial Potential energy at original position to Kinetic energy and potential energy when it extends
Substituting values,
Conclusion: From the above explanation, the speed of ball is
Part (b)
Height above original position
Part (b)
Answer to Problem 39P
Solution:
Explanation of Solution
Given:
Mass of ball is
Compression is
Spring constant is
Formula used: Kinetic energy of an object can be obtained by:
Potential Energy of spring can be obtained by:
Where m is mass, v velocity, x is elongation, K is spring constant.
Gravitational potential energy of an object can be obtained by:
Where, m is the mass, g is the gravitational acceleration and h is the height.
Calculation:
Applying conservation of energy, we equate the elastic potential energy at lowest position to gravitational potential energy at height h
Substituting values,
Conclusion:
From the above explanation, height above original position is 3 m.
Chapter 6 Solutions
Physics: Principles with Applications
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