A horizontal block spring system with the block on a frictionless surface has total mechanical energy E
=
47.0
J
and a maximum displacement from equilibrium of 0.240
m
.
(a) What is the spring constant?
(b) What is the kinetic energy of the system at the equilibrium point?
(c) If the maximum speed of the block is 3.45
m
/
s
, what is its mass?
(d) What is the speed of the block when its displacement is 0.160
m
?
(e) Find the kinetic energy of the block at x
=
0.160
m
.
(f ) Find the potential energy stored in the spring when x
=
0.160
m
.
(g) Suppose the same system is released from rest at x
=
0.240
m
on a rough surface so that it loses 14.0
J
by the time it reaches its first turning point (after passing equilibrium at x
=
0
). What is its position at that instant?
