Question

(10 points) A block of mass m = 0.80 kg is held in place against a spring with spring constant k = 3000 N/m, compressing it a distance of 0.022 m. The block is released from rest and is projected to the right and down a ramp of height h = 1.5 m, as shown in the figure below. The entire surface is frictionless until point B, after which the coefficient of friction between the block and the surface is given by M = 0.4. You must show ALL steps of all work to receive full credit, including any starting equations in terms of the relevant variables. vi Gok Immo A smooth Brough k s (a) What is the speed of the block when it leaves the spring? V (b) What is the speed of the block when it reaches point B? (c) What is S, the distance the block travels through the rough patch before coming to a ston?

Answer 1

(a) Using work- energy theorem, Whet ske Wapsing & Wgravity & Wnormal = KE - KE, 1 ksx² + 0 to 1 muo 1 = 1.35 M18 - S. 59 mg Sv from A to ai ot migh to = my ² - 1 m 2 (2 x 9.8 xls) = 2² - 11952 - V = 5.59 m18 © Ligranty & W pretion & Ww= xf g - KEA o+(fixed) to 6- 12 muz ² - Ma ma d = - 2 muz ² (0.4) (9.8) (d) = 5.59% Td = 3.98 m