Question

The 8-1b box slides on the surface for which I = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. (Figure 1) Part A If the box strikes the smooth plate, which has a weight of 19 lb and is held in position by an unstretched spring of stiffness k = 310 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. HA ? Value Units Submit Request Answer Provide Feedback Next > Figure 1 of 1 > v = 15 ft/s 2f

Answer 1

ACCORDING TO THE DATA AND DIAGRAM ARE GIVEN IN THE QUESTION,

Given, 20.01 mA = 8 lb m₂ = 19 lb K = 310 N 32-2)('5 –2(0-3x 8). MxN Applying the wook energy principle on box, žm, ca. -24 N = { maliwata les 8_) () Free body diagram Tit EU,22 Tz 2 2 8 8 x 2 2 (32.2 (©), = 13.65 ft/s Applying conservation linear momentum of (5) mowa, + mo (Ve), PAVAD + MB (VB), 8 (13-65) + 1900) = 8 (™), + 19(VE) 32:2 32-2 32:2 32:2 109.2 0 8 V), + 19(ve) Coefficient of restitution, e es No), - M) (VA), -(VB), 0,8 (VB), - (A), 13.65-0

B ), + 10.92 2 2 2 from egn egn 0 & 28 M), + 19[6), +10-92] = 109.2 2 (W), --3,64 fly (VB),= 7.28 fle By Conservation of energy, Titk=Tz + V₂ į mano+0 -0 +_ksa (122) (-3.64) [(310) (83) 2 5 = 0.1588 ft