Concept explainers
The distance below the bridge before Chris’s foot coming to a stop.
Answer to Problem 41P
Solution:
Chris’s foot will be at rest, at a distance
Explanation of Solution
Given:
Chris’s mass
Spring constant,
Length of string
Concept used:
Conservation of energy.
Gravitational force and spring force both are conservative force so apply conservation of energy.
Potential energy stored in spring, when it is elongated by distance
Loss of gravitational potential energy
Where d : distance of fall vertical
m : mass
g : acceleration due to gravity
Calculation:
Let initial potential energy of Chris
Let distance fall by Chris is d when at rest final potential energy
WhenChris is at distance d from jumping point, then elongation in spring
Length of string
Initial elastic potential energy in string
Final elastic potential energy in string
Initial energy = final energy (conservation of energy)
Initial gravitational P.E. +initial elastic potential energy = final gravitational P.E. +final elastic potential energy.
Substitute the value of mandk
Is not accepted, because d must be greater than
Hence,
Conclusion: Chris’s foot will be at rest, at a distance of
Chapter 6 Solutions
Physics: Principles with Applications
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