You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a 2.80 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) What force causes the spring to stretch? What force does the spring exert on the hanging object? Can you write a relationship between these two forces? N/m (b) the distance (in cm) the spring stretches if you replace the 2.80 kg object with a 1.40 kg object What two forces are acting on the object when it reaches equilibrium? How are these forces related? Can you use the relationship between these two forces to find an expression for the desired stretch in terms of other known information? cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.00 cm from its unstretched position How does the work done by the external agent compare to the work done by the spring and to the change in potential energy of the cprina? 1

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Chapter1: Units, Trigonometry. And Vectors
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You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a 2.80 kg object is suspended from it.
Determine the following.
(a) the force constant of the spring (in N/m)
What force causes the spring to stretch? What force does the spring exert on the hanging object? Can you write a relationship
between these two forces? N/m
(b) the distance (in cm) the spring stretches if you replace the 2.80 kg object with a 1.40 kg object
What two forces are acting on the object when it reaches equilibrium? How are these forces related? Can you use the relationship
between these two forces to find an expression for the desired stretch in terms of other known information? cm
(c) the amount of work (in J) an external agent must do to stretch the spring 8.00 cm from its unstretched position
How does the work done by the external agent compare to the work done by the spring and to the change in potential energy of the
spring? )
Transcribed Image Text:You have a light spring which obeys Hooke's law. This spring stretches 2.54 cm vertically when a 2.80 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) What force causes the spring to stretch? What force does the spring exert on the hanging object? Can you write a relationship between these two forces? N/m (b) the distance (in cm) the spring stretches if you replace the 2.80 kg object with a 1.40 kg object What two forces are acting on the object when it reaches equilibrium? How are these forces related? Can you use the relationship between these two forces to find an expression for the desired stretch in terms of other known information? cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.00 cm from its unstretched position How does the work done by the external agent compare to the work done by the spring and to the change in potential energy of the spring? )
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