(d) 0, (b) 0.100, and 0.100, and (c) 0.462. 27. A 6 000-kg freight car rolls alo

Question

(d) 0, (b) 0.100, and 0.100, and (c) 0.462. 27. A 6 000-kg freight car rolls along rails with negligible fric- tion. The car is brought to rest by a combination of two coiled springs as illustrated in Figure P7.27. Both springs are described by Hooke's law and have spring constants k1 1600 m and k 3400 N/m. After the first spring sect compresses a distance of cm, the second spring acts Ener with the first to increase the force as additional compres- sion occurs as shown in the graph. The car comes to rest 31 50.0 cm after first contacting the two-spring system. Find the car's initial speed. A 1 AA 1...11 :a r: ad c, am a rifle havino a barrel 0.600 m

Explanation / Answer

Let the initail velocity be v

Initial kinetic energy=0.5*6*v*v

Final energy of spring=0.5*1.6*0.5*0.5 +(0.5*3.4*0.2*0.2)=0.268 J

Conserving energy

We got v=0.58 m/s

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