Consider an object that is given an initial potential energy U, by a compressed spring. The object is then "launched", converting all of the spring potential energy into kinetic energy. Conservation of energy tells us that the total mechanical (potential + kinetic) energy of a system is conserved for a frictionless process. Thus the total energy Eo at the start of the process is equal to the total energy Efat the end of the process. In this situation, Eo = U, and Efis equal to the kinetic energy K of the object. You can then write: 1/2k? = 1/2mv2 where k = 7 N/m is the spring constant and m = 0.6 kg is the mass of the object. Suppose the spring is compressed distance l1 = 0.070 m and this gives the object a speed v. Next suppose the spring is compressed distance l2 = 0.14 m and this gives the object a speed v2. Part (a) The ratio v2/v1 does not depend on k. True or False? OTRUE O FALSE

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 18P
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Please answer all the parts
Part (b) The ratio v2/vj depends on m. True or False?
Part (c) What is the ratio v2lv ? Give numerical answer to two significant figures.
v2/v1
Transcribed Image Text:Part (b) The ratio v2/vj depends on m. True or False? Part (c) What is the ratio v2lv ? Give numerical answer to two significant figures. v2/v1
Consider an object that is given an initial potential energy U, by a compressed spring. The object is then "launched", converting all of the spring potential
energy into kinetic energy. Conservation of energy tells us that the total mechanical (potential + kinetic) energy of a system is conserved for a frictionless
process. Thus the total energy Eo at the start of the process is equal to the total energy Efat the end of the process. In this situation, Eo = Us and Efis equal to
the kinetic energy K of the object. You can then write:
1/2k? = 1/2mv²
where k = 7 N/m is the spring constant and m = 0.6 kg is the mass of the object. Suppose the spring is compressed distance l1 = 0.070 m and this gives the
object a speed v1. Next suppose the spring is compressed distance l2 = 0.14 m and this gives the object a speed v2.
Part (a) The ratio v2/v does not depend on k. True or False?
OTRUE
O FALSE
Transcribed Image Text:Consider an object that is given an initial potential energy U, by a compressed spring. The object is then "launched", converting all of the spring potential energy into kinetic energy. Conservation of energy tells us that the total mechanical (potential + kinetic) energy of a system is conserved for a frictionless process. Thus the total energy Eo at the start of the process is equal to the total energy Efat the end of the process. In this situation, Eo = Us and Efis equal to the kinetic energy K of the object. You can then write: 1/2k? = 1/2mv² where k = 7 N/m is the spring constant and m = 0.6 kg is the mass of the object. Suppose the spring is compressed distance l1 = 0.070 m and this gives the object a speed v1. Next suppose the spring is compressed distance l2 = 0.14 m and this gives the object a speed v2. Part (a) The ratio v2/v does not depend on k. True or False? OTRUE O FALSE
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