(a) Find the distance of compression d . m (b) Find the speed v at the unstretch

Question

(a) Find the distance of compressiond.
m
(b) Find the speedvat the unstretched position when the object is moving to the left (Figure d).
m/s

(c) Find the distanceDwhere the object comes to rest.

A1.10-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed ofvi=3.40m/swhen it makes contact with a light spring (Figure b) that has a force constant of50.0 N/m.The object comes to rest after the spring has been compressed a distanced(Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distanceDto the left of the unstretched spring (Figure e). (a) Find the distance of compressiond. m (b) Find the speedvat the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distanceDwhere the object comes to rest.

Explanation / Answer

m = 1.1 v= 3.4 u = .25 mgu = 1.1*9.8*.25 = 2.695 F = ke 2.695 = 50N *e e = 0.0539 eK = m * v 0.0539*50 /1.1 = v v = 2.45m/s

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