Chaster C, Froslem 053 3cogle Chrome aSecure https fedugen.wileyplus.comm ssignm
ID: 1875633 • Letter: C
Question
Chaster C, Froslem 053 3cogle Chrome aSecure https fedugen.wileyplus.comm ssignmentftest/qprint.uni Print by: MARCO GUZMAN PHYS 150 ONLINE JAN 2018 A / Module 7 Problem Set Chapter 08, Problem 053 Your answer is partially correct. Try again. In the figure 3,7 kg blackis accelerated from rest by compressed spring of spring constant 650 N rn. The bloc, leaves the spring at the spring's relaxed ength and then trave s over horizontal floor with caer cent of kinetic friction -0.222. The trictional force stops the block in distance D-8.1 m what are a the increase in the thermal energy or the block-moor system, b) the maximum kinetic energy or the block, and (c) the original compression distance or the spring? No friction AAN) unit g (a) N (b) Number (c) N Answer *1: theumber of signiicant digits is set to 3; the toierance is -I in the 3rd signincant digit Answer *2: the urnber of significant digits is set to 3: the tolerarce is +-I in the 3rd significant digit Answer 3: the umber of signincant digits is set to 3 the toierance is -1 in the 3rd signincent oigit Question Attemptsi 1 of 10 used 1206 P Type here to scarch ^ 2/24/2018Explanation / Answer
As the compressed spring expands, the potential energy of the compressed spring is transferred to the block as kinetic energy.
PE of spring = ½ * k * x^2 = ½ * 650 * x^2 = 325 * x^2
KE of block = 325 * x^2
As the block travels over a horizontal floor with a coefficient of kinetic friction k = 0.222, the work done by the friction force decreases the kinetic energy of the block to 0 Joules
Work done by the friction force = k * m * g * d= 0.222 * 3.7 * 9.8 * 8.1
KE of block = Work done by the friction force
325 * x^2 = 0.222 * 3.7 * 9.8 * 8.1
x = 0.445 m