Suppose a force of 60 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.6 m from its equilibrium position? c. How much work is required to stretch the spring 0.2 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium? a. k=

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Suppose a force of 60 N is required to stretch and hold a spring 0.1 m from its equilibrium position.
a. Assuming the spring obeys Hooke's law, find the spring constant k.
b. How much work is required to compress the spring 0.6 m from its equilibrium position?
c. How much work is required to stretch the spring 0.2 m from its equilibrium position?
d. How much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium?
a. k=
(Type an integer or a decimal.)
b. Set up the integral that gives the work done in compressing the spring 0.6 m from its equilibrium position. Use decreasing limits of integration.
(Type exact answers.)
Find the work done in compressing the spring.
The work is
(Type an integer or a decimal.)
c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration.
dx
(Type exact answers.)
Find the work done in stretching the spring.
The work is
(Type an integer or a decimal.)
d. Set up the integral that gives the work done to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium. Use increasing limits of integration.
(Type exact answers.)
Transcribed Image Text:Suppose a force of 60 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.6 m from its equilibrium position? c. How much work is required to stretch the spring 0.2 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium? a. k= (Type an integer or a decimal.) b. Set up the integral that gives the work done in compressing the spring 0.6 m from its equilibrium position. Use decreasing limits of integration. (Type exact answers.) Find the work done in compressing the spring. The work is (Type an integer or a decimal.) c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration. dx (Type exact answers.) Find the work done in stretching the spring. The work is (Type an integer or a decimal.) d. Set up the integral that gives the work done to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium. Use increasing limits of integration. (Type exact answers.)
c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration.
(Type exact answers.)
Find the work done in stretching the spring.
The work is
(Type an integer or a decimal.)
d. Set up the integral that gives the work done to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium. Use increasing limits of integration.
LO dx
(Type exact answers.)
Find the additional work required.
The additional work is
(Type an integer or a decimal.)
Transcribed Image Text:c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration. (Type exact answers.) Find the work done in stretching the spring. The work is (Type an integer or a decimal.) d. Set up the integral that gives the work done to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium. Use increasing limits of integration. LO dx (Type exact answers.) Find the additional work required. The additional work is (Type an integer or a decimal.)
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