Question

A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 39.0 J and a maximum displacement from equilibrium of 0.260 m.

(a) What is the spring constant? ___N/m

(b) What is the kinetic energy of the system at the equilibrium point? ___J

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

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

(e) Find the kinetic energy of the block at x = 0.160 m. ___J

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

(g) Suppose the same system is released from rest at x = 0.260 m on a rough surface so that it loses 14.9 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant? ___m

Answer #1

A horizontal block-spring system with the block on a
frictionless surface has total mechanical energy E = 54.5
J and a maximum displacement from equilibrium of 0.285 m.
(a) What is the spring constant?
N/m
(b) What is the kinetic energy of the system at the equilibrium
point?
J
(c) If the maximum speed of the block is 3.45 m/s, what is its
mass?
kg
(d) What is the speed of the block when its displacement is 0.160
m?
m/s...

A horizontal block-spring system with the block on a
frictionless surface has total mechanical energy E = 41.4
J and a maximum displacement from equilibrium of 0.284 m.
(a) What is the spring constant?
N/m
(b) What is the kinetic energy of the system at the equilibrium
point?
J
(c) If the maximum speed of the block is 3.45 m/s, what is its
mass?
kg
(d) What is the speed of the block when its displacement is 0.160
m?
m/s ...

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...

he block in the figure lies on a horizontal frictionless
surface, and the spring constant is 50 N/m. Initially, the spring
is at its relaxed length and the block is stationary at position x
= 0. Then an applied force with a constant magnitude of 4.0 N pulls
the block in the positive direction of the x axis, stretching the
spring until the block stops. When that stopping point is reached,
what are (a) the position of the block, (b)...

A 0.019 kg block on a horizontal frictionless surface is
attached to a string whose spring/force/elastic constant k is 120
N/m. The block is pulled from its equilibrium position at x=0 m to
a displacement x=+0.080 m and is released from rest. The block then
executes simple harmonic motion along x-axis (horizontal). When the
displacement is x=0.051 m, what is the kinetic energy of the block
in J?

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
block-spring system has spring constant 120 N/m, frequency 100Hz
and mechanical energy 29.40 J. If phase angle is zero, find ratio
of the kinetic to potential energy and displacement is 0.5s.
A. 0.026, 0.691 m
B. 0.013, 0.550 m
C. 0.034, 0.870m
D. 0.130, 0.870m
E. 0.045, 0.770m

An oscillating block-spring system has a mechanical energy of
2.46 J, an amplitude of 12.5 cm, and a maximum speed of 1.29 m/s.
Find (a) the spring constant, (b) the mass of the block and (c) the
frequency of oscillation.

An oscillating block–spring system has a mechanical energy of
5.00 J, an amplitude of 22.0 cm, and a maximum speed of 3.20 m/s.
Find the frequency of oscillation.

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