Question

When a 0.411 kg mass is hung from a certain spring it stretches 0.148 m to its equilibrium position at point P. If this mass is pulled down 0.139 m from point P and released, what is the magnitude of the velocity in m/s of this mass 0.041 m from point P?

Answer #1

Solution :

When a 0.427 kg mass is hung from a certain spring it stretches
0.122 m to its equilibrium position at point P. If this mass is
pulled down 0.151 m from point P and released, what is the
magnitude of the velocity in m/s of this mass 0.0392 m from point
P? A 1.42 m3 piece of wood with a density of 0.805 kg/m3 floats in
the ocean where the density of the water is 1.027 kg/m3. What is
the...

A block with mass m =6.2 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.22 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.6 m/s. The block oscillates on the
spring without friction.
What is the spring constant of the spring?
2)
What is the oscillation frequency?
After t = 0.32 s what is the speed of the block?
What...

A block with mass m =7.1 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.24 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.5 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring?
2) What is the oscillation frequency?
3) After t = 0.38 s what is the speed of the...

A block with mass m =7.3 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.29 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 5 m/s. The block oscillates on the
spring without friction.
1) What is the spring constant of the spring? N/m Submit
2) What is the oscillation frequency? Hz Submit
3) After t = 0.45 s what is...

A block with mass m =6.7 kg is hung from a vertical spring. When
the mass hangs in equilibrium, the spring stretches x = 0.27 m.
While at this equilibrium position, the mass is then given an
initial push downward at v = 4.5 m/s. The block oscillates on the
spring without friction.
1. What is the spring constant of the spring?
2. What is the oscillation frequency?
3. After t = 0.46 s what is the speed of the...

An ideal spring hangs from the ceiling. A 2.15 kg mass is hung
from the spring, stretching the spring a distance d = 0.0905 m from
its original length when it reaches equilibrium. The mass is then
lifted up a distance L = 0.0225 m from the equilibrium position and
released. What is the kinetic energy of the mass at the instant it
passes back through the equilibrium position?

1. A hydraulic lift uses a compressor to compress the hydraulic
fluid with a moving piston (piston A) of radius RA = 4.83 cm. A
second piston (piston B) of radius RB = 18.48 cm is used at the
lift to lift cars. What force must be applied by piston A to lift a
14,871N car with piston B?
2. When a 0.438 kg mass is hung from a certain spring it
stretches 0.119 m to its equilibrium position at...

A 0.583 kg mass hung from a spring stretches the spring by an
amount 0.310 m.
(a) How much does it stretch each of two such identical springs
if they are hung in parallel as shown in Figure (a)?
(b) How much does it stretch the combination of two such springs if
they are hung in series as shown in Figure (b)?
(c) Calculate the effective force constant of a single replacement
spring in each case.
Figure (a)
Figure (b)

A mass of 0.6 kg stretches spring 12 cm. The mass is pulled down
an additional 5 cm and released. a)Find frequency of oscillation,
b) maximum kinetic energy, and c) total energy at a point 3 cm.
from the equilibrium.

A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by
an external force of 4 cos(t) N. If the mass is set in motion from
its equilibrium position with a downward velocity of 2 m/s, find
the position of the mass at any time. Identify the transient (i.e.,
complementary) and steady state (i.e., particular) solutions. Does
the motion exhibit resonance or a beat?

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