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A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 46.2 J and a m

Posted: Tue May 03, 2022 6:32 am
by answerhappygod
A horizontal block-spring system with the block on a
frictionless surface has total mechanical
energy E = 46.2 J and a maximum displacement
from equilibrium of 0.215 m.
(a) What is the spring constant? Answer in N/m

(b) What is the kinetic energy of the system at the equilibrium
point? Answer in J

(c) If the maximum speed of the block is 3.45 m/s, what is its
mass? Answer in kg

(d) What is the speed of the block when its displacement is 0.160
m? Answer in m/s

(e) Find the kinetic energy of the block at x =
0.160 m. Answer in J

(f) Find the potential energy stored in the spring
when x = 0.160 m. Answer in J

(g) Suppose the same system is released from rest
at x = 0.215 m on a rough surface so that it
loses 13.9 J by the time it reaches its first turning point (after
passing equilibrium at x = 0). What is its
position at that instant? Answer in m.