A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final length of the spring is 45.5 cm. (a) Find its spring constant (in N/m). N/m (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 120 N. Find the length (in m) of the spring in this situation. m (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 120 N? m

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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4.
5.
DETAILS
(a) Find its spring constant (in N/m).
N/m
A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is
attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final
length of the spring is 45.5 cm.
(b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the
spring, each with a force of 120 N. Find the length (in m) of the spring in this situation.
m
DETAILS
MY NOTES
(c) What If? What would be the length (in m) of the spring if it were now attached to the vertical
portion of the doorframe and stretched horizontally by a single person exerting a force of 120 N?
m
ASK YOUR TEACHER
J
J
MY NOTES
An 800 kg roller coaster car starts at point A, then travels 155 ft at 40.0° below the horizontal to point B.
(a) Taking point B to be the level where the gravitational potential energy of the car-Earth system is
zero, what is the potential energy (in J) of the system when the car is at points A and B, and the
change in potential energy (in J) as the coaster moves between these points?
at point A
at point B
change in potential energy
(b) Repeat part (a), setting the zero configuration with the car at point A.
at point A
J
at point B.
J
change in potential energy
J
ASK YOUR TEACHER
Transcribed Image Text:4. 5. DETAILS (a) Find its spring constant (in N/m). N/m A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.00 kg is hung from the other end. The final length of the spring is 45.5 cm. (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 120 N. Find the length (in m) of the spring in this situation. m DETAILS MY NOTES (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 120 N? m ASK YOUR TEACHER J J MY NOTES An 800 kg roller coaster car starts at point A, then travels 155 ft at 40.0° below the horizontal to point B. (a) Taking point B to be the level where the gravitational potential energy of the car-Earth system is zero, what is the potential energy (in J) of the system when the car is at points A and B, and the change in potential energy (in J) as the coaster moves between these points? at point A at point B change in potential energy (b) Repeat part (a), setting the zero configuration with the car at point A. at point A J at point B. J change in potential energy J ASK YOUR TEACHER
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