Concept explainers
The spring constant k of spring.
Answer to Problem 42P
Solution:
Explanation of Solution
Given:
Mass of car,
Initial speed of car,
Final speed of car,
Maximum occupant acceleration,
FormulaUsed:
Conservation of mechanical energy
Initial potential energy:
Final potential energy:
Initial kinetic energy:
Final kinetic energy:
Newton’s second law of motion:
Mass is m , a is acceleration and
Spring force:
Where, k is the spring constant and x is the extension.
Potential energy stored in spring:
k : spring constant
x : deformation in spring
Calculation:
Initial potential energy:
Initial kinetic energy,
Maximum compression in spring,
Final potential energy,
Final kinetic energy,
Because lift is at rest
Conservation of mechanical energy:
Maximum acceleration in car is when spring force is maximum
Substitute value of
Substitute the value of m , g and
Conclusion:The spring constant k of spring is
Chapter 6 Solutions
Physics: Principles with Applications
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