Question

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

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 = 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...

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...

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.

A 50.0 gram mass connected to a spring with a spring constant of
35 N m oscillates on a horizontal, frictionless surface with an
amplitude of 4.00 cm. (i) What is the total mechanical energy of
the system? (ii) What is the speed of the mass when the
displacement is 1.00 cm? (iii) What is the potential energy when
the displacement is 3.00 cm? (iv) What is the kinetic energy when
the displacement is 3.00 cm?

A 3.90 kg block hangs from a spring with spring constant 1980
N/m . The block is pulled down 5.40 cm from the equilibrium
position and given an initial velocity of 1.80 m/s back toward
equilibrium.
What is the frequency of the motion?
What is the amplitude?
What is the total mechanical energy of the motion?

Trial
Spring Constant (N/m)
Displacement (m)
Potential Energy (J)
1
200
.1
1
2
200
.2
4
3
200
.3
9
4
200
.4
16
5
200
.5
25
25 1. In Excel, plot a graph of Potential Energy vs.
Displacement and a graph of Potential Energy vs. (Displacement)2 to
determine what relationship exists between the Potential Energy and
displacement (linear or quadratic). Include the two graphs in the
space below.

A moving 3.70kg block collides with a horizontal spring whose
spring constant is 363 N/m. The block compresses the spring a
maximum distance of 13.50cm from its rest postion. The coefficient
of kinetic friction between the block and the horizontal surface is
0.310. a) What is the work done by the spring in bringing the block
to rest? Hint: "be careful about the sign of the work! Is it
positive or negative?" b) How much mechanical energy is being
dissipated...

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