Question

The-kg package B has a speed of 2 m/s when it is delivered to the smooth ramp. After sliding down, the ramp it lands onto a 10-kg cart A as shown. The friction coefficient between the cart A and package B is uk - 0.3; neglect the friction between the cart A and the ground. Determine (use g = 9.81 m/s) 1) the common speed of the cart A and package B after the package B stops relative sliding on the cart A. 2) The friction force between the package B and the cart A when package B sliding relatively on top of the cart A 3) Acceleration of the cart A ay and package Bas, when package B is sliding on top of the cart A 4) Time of the package B sliding relatively on top of the cart A, in seconds 5) Displacement of cart Sy when package B stops sliding on cart A (see picture below) 6) Relative displacement SpA when package B stops sliding on cart A (see picture below) 2 m/s

Answer 1

[f= 58.86N] 9A LB LITT AB= 58.86 QA=58186 10 an= 5.886 mis? AB = 2.943 mis VB = UB & AB (A) VB = Vcommon = 437 msk) UB= v= 6.56 mis e AB= 2.943 m 2 (7) : t = 48 - VB = 6:56-4.37 - AB @ 2.943 t = 0.74 sec. / Sn- displacement of cart A when Package stoPX Sliding on A lie. both attend common velocity SA I Atty auta

SA=0(t) + % (51886) x 10.7472 = 1.61 m. AB= 2.943 m2 | A | UB=6. 56 ms 9A=5.886 mise YA-O - SB/ A UBA + + % (IBA) + 2 SB/A = (6.56-0)x0.74 +221-2.943-5.886) +20 SB/A = 6.5(80.74 - 13 x 81829460 7492 = 2.44 m o