Question

m d[m] Problem 1 [20 points) A box of mass m = 6 kg slides down an inclined ramp of length d = 2 m as shown in the Figure. The box starts with initial speed 2 m/s at height h = 1 m from the bottom of the ramp. A constant friction force f = 3 N is applied to the box when sliding h[m] down the ramp. Consider the box of mass m, as your system. a) [5 points] Define the surroundings of the system. b) [5 points) Find the work of each force applied on the system. c) (10 points) Find the speed of the box at the bottom of the ramp. m

Answer 1

hells system block mi 18 the Systen. so, FBD is shown. any other this than block m, is surroundig includis ramp. ng and mgsind b Wfrictina -fd=-3x2=-6 J Wgravity gravity fance x rental displacere ingh 6x9.8 x 1= 58.8 J Work enesy I loss in theorem, grarity. PEI Iwfricti-) + SICE 58. 8 = TT + 1 2m (up ² ~ u 2) 58.8= 6 + 6 ( Vp 2 - (2) 2) vf ~ 4.65 m/s AL --)