Question

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.

Answer #1

In the figure, a 4.3 kg block is accelerated from rest by a
compressed spring of spring constant 620 N/m. The block leaves the
spring at the spring's relaxed length and then travels over a
horizontal floor with a coefficient of kinetic friction
μk = 0.284. The frictional force stops the
block in distance D = 7.4 m. What are (a)
the increase in the thermal energy of the block–floor system,
(b) the maximum kinetic energy of the block, and...

A 11.1 kg object on a horizontal frictionless surface is
attached to a spring with k = 1300 N/m. The object is
displaced from equilibrium 55.0 cm horizontally and given an
initial velocity of 12.0 m/s back toward the equilibrium position.
What are (a) the motion's frequency,
(b) the initial potential energy of the
block-spring system, (c) the initial kinetic
energy, and (d) the motion's amplitude?

A 1.40 kg block slides with a speed of 0.950 m/s on a
frictionless horizontal surface until it encounters a spring with a
force constant of 734 N/m. The block comes to rest after
compressing the spring 4.15 cm. Find the spring potential, U, the
kinetic energy of the block, K, and the total mechanical energy of
the system, E, for compressions of (a) 0 cm, (b) 1.00 cm, (c) 2.00
cm, (d) 3.00 cm, (e) 4.00 cm

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...

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 40.25 pound block on a horizontal frictionless surface is
pressed into a spring with a spring constant (k) of 18.0
pounds/inch for a distance of 3.0 inches.
a) What is the potential energy stored in the spring? Answer in
ft-lbs.
b) When the block is released, what is the velocity of the block
at the moment the block and spring
separate? Answer in ft/sec.

Answers + steps
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...

A horizontal block–spring system with the block on a
frictionless surface has total mechanical energy E = 45 J and a
maximum displacement from equilibrium of 0.23 m.
(c) If the maximum speed of the block is 3.06 m/s, what is its
mass?
37.27 kg
61.19 kg
35.49 kg
17.75 kg
(d) What is the speed of the block when its displacement is 0.17
m?
(e) Find the kinetic energy of the block at x = 0.17 m.
(f) Find...

A 8.07 kg object on a horizontal frictionless surface is
attached to a spring with k = 2180 N/m. The object is
displaced from equilibrium 69.5 cm horizontally and given an
initial velocity of 13.6 m/s back toward the equilibrium position.
What are (a) the motion's frequency,
(b) the initial potential energy of the
block-spring system, (c) the initial kinetic
energy, and (d) the motion's
amplitude? Answers to 3 significant digits (no
scientific notation). Please provide unit of
measurement.

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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