As a segment of an workout regiment to toughen their pectoral muscles, a man stretches a spring which has a spring constant k=605N/m. a) If x=0 corresponds to when the springs are at their relaxed state, which image best represents the magnitude of the force applied to the springs as a function of the stretch distance (see image). b) Write an equation for the work necessary to stretch the spring from the relaxed state to a distance x1. c) Calculate the work, in joules, required to stretch the spring from its relaxed state to the position x1=59.7cm d) Write an equation for the work necessary to stretch the spring from the position x1 to position x2. e) Calculate the work, in joules, required to stretch the spring from x1=59.7cm to x2=96.8cm.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
As a segment of an workout regiment to toughen their pectoral muscles, a man stretches a spring which has a spring constant k=605N/m.
a) If x=0 corresponds to when the springs are at their relaxed state, which image best represents the magnitude of the force applied to the springs as a function of the stretch distance (see image).
b) Write an equation for the work necessary to stretch the spring from the relaxed state to a distance x1.
c) Calculate the work, in joules, required to stretch the spring from its relaxed state to the position x1=59.7cm
d) Write an equation for the work necessary to stretch the spring from the position x1 to position x2.
e) Calculate the work, in joules, required to stretch the spring from x1=59.7cm to x2=96.8cm.
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