31. GP A horizontal spring attached to a wall has a force constant of 850 N/m. A

Question

31. GP A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a hori- zontal, frictionless surface as in Figure 5.20. The ini- tial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of inter- est? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again

Explanation / Answer

Here,

k = 850 N/m

m = 1 Kg

a) the object in the system are spring and block

the force of interaction is spring force

b)

the two points of interest is the equilibrium poistion when the spring is not strectched

and the point of maximum displacement

c)

energy stored in the spring = 0.50 * k * x^2

energy stored in the spring = 0.50 * 850 * 0.06^2

energy stored in the spring = 1.53 J

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