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1. A 2.0 kg block sliding on a frictionless horizontal surface is attached to one end of a horizontal spring (k = 600 N/m) which has its other end fixed. The speed of the block when the spring is extended is 0.20 m is equal to 3.0 m/s. What is the maximum speed of this block as it oscillates? (Or speed when the spring is fully relaxed?)

2. A 10 kg object is dropped from rest. After falling a distance of 50 m, it has a speed of 26 m/s. What is the change in total mechanical energy caused by the dissipative air resistive force on the object during this descent?

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1.A 1.10 kg block sliding on a horizontal frictionless surface
is attached to a horizontal spring with k = 490 N/m. Let
x be the displacement of the block from the position at
which the spring is unstretched. At t = 0 the block passes
through x = 0 with a speed of 3.40 m/s in the positive
x direction. What are the (a) frequency
and (b) amplitude of the block's motion
2.A vertical spring stretches 13 cm when a...

A 4.37 kg block free to move on a horizontal, frictionless
surface is attached to one end of a light horizontal spring. The
other end of the spring is fixed. The spring is compressed 0.117 m
from equilibrium and is then released. The speed of the block is
1.01 m/s when it passes the equilibrium position of the spring. The
same experiment is now repeated with the frictionless surface
replaced by a surface for which uk = 0.345. Determine the...

A 3.0-kg block sliding on a frictionless horizontal surface is
accelerated by a compressed spring. If the 200 N/m spring is
initially compressed 10 cm, determine (a) the potential energy
stored in the spring. As the block leaves the spring, find (b) the
kinetic energy of the block, and (c) the velocity of the block.

A 0.225 kg block attached to a light spring oscillates on a
frictionless, horizontal table. The oscillation amplitude is
A = 0.190 m
and the block moves at 3.50 m/s as it passes through equilibrium
at
x = 0.
(a) Find the spring constant, k (in N/m).
N/m
(b) Calculate the total energy (in J) of the block-spring
system.
J
(c) Find the block's speed (in m/s) when x = A/2
m/s.

The horizontal surface on which the block slides is
frictionless. The speed vi of the block of mass m= 2.0 kg before it
touches the spring is 10 m/s. After the spring is compressed by
0.20 m, the block starts to move back to the right. What is the
velocity vf of the block in m/s when the spring is compressed by
0.15m ?

A 28 kg block on a horizontal surface is attached to a
horizontal spring of spring constant k = 4.8 kN/m. The block is
pulled to the right so that the spring is stretched 7.2 cm beyond
its relaxed length, and the block is then released from rest. The
frictional force between the sliding block and the surface has a
magnitude of 37 N. (a) What is the kinetic energy of the block when
it has moved 1.6 cm from...

On a horizontal, frictionless surface, a 0.50-kg mass is at rest
at x=0, attached to a wall by a spring whose spring constant is 5.0
N/m. I throw a 0.10-kg lump of clay at the mass with speed 3.0 m/s,
and at time t=0 the lump hits the mass and sticks to it.
(a) Where and when does the block first come
to a stop?
(b) How fast is the block moving when it gets back to x=0?

A block rests on a frictionless horizontal surface and is
attached to a spring. When set into simple harmonic motion, the
block oscillates back and forth with an angular frequency of 8.9
rad/s. The drawing shows the position of the block when the spring
is unstrained. This position is labeled ''x = 0 m.'' The drawing
also shows a small bottle located 0.080 m to the right of this
position. The block is pulled to the right, stretching the spring...

A 0.55 kg block rests on a frictionless horizontal
countertop, where it is attached to a massless spring whose
k-value equals 23.0 N/m. Let x be the displacement,
where
x = 0
is the equilibrium position and
x > 0
when the spring is stretched. The block is pushed, and
the spring compressed, until
xi = −4.00 cm.
It then is released from rest and undergoes simple
harmonic motion.
(a)
What is the block's maximum speed (in m/s) after it...

A 2.00 kg block sliding on a horizontal surface makes contact
with a spring, compressing
the spring (the other end of the spring is attached to a rigid
wall). At the instant of
contact, the block has a speed of 12.0 m/s. The coefficients
of static and kinetic friction
between the block and the surface are 0.55 and 0.35,
respectively. The spring constant of
the spring is 100.0 N/m.
a) Determine the maximum compression of the spring
b) Determine the...

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