Question

An ideal vertical spring-mass system oscillates with a period of 1.20 second when the mass used is 2.00 kg.

How much elastic potential energy is stored in the spring when the mass is at its equilibrium position?

a) 2.53

b) 3.09

c) 3.65

d) 4.77

e) 5.70 )

Answer #1

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 =7.3 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 particle with mass 1.67 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.803 m
and a duration of 129 s for 74 cycles of oscillation. Find the
frequency, f, the speed at the equilibrium position, vmax, the
spring constant, k, the potential energy at an endpoint, Umax, the
potential energy when the particle is located 46.9% of the
amplitude away from the equilibrium position, U, and the kinetic
energy, K, and...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

When a 0.770 kg mass oscillates on an ideal spring, the
frequency is 1.32 Hz .
part a)
What will the frequency be if 0.270 kg are added to the original
mass? Try to solve this problem without finding the force
constant of the spring.
part b)
What will the frequency be if 0.270 kg are subtracted from the
original mass? Try to solve this problem without finding
the force constant of the spring.

A particle with mass 1.23 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.847 m
and a duration of 125 s for 69 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 41.3% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

Question 1) Clearly solve:
* A 0.50 kg mass attached to a spring undergoes a simple
harmonic movement with an amplitude of 0.40 m and a period of 3.0
s.
Find
(a) the total energy of this oscillator
(b) the maximum speed of the dough
(c) the speed when the mass is at x = +0.20 m from the equilibrium
position
(d) the elastic potential energy stored in the spring when the mass
moves at half its maximum speed

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...

12. A 0.85-kg mass is attached to a spring that oscillates on a
frictionless surface. The position of the oscillating mass is
expressed as x(t) = 0.25 sin(5.5t), where x is in meters and t is
in seconds.
a) What is the amplitude?
b) What is the period?
c) What is the spring constant?
d) What is the total energy of the system?

Part A
A block of unknown mass is attached to a spring with a spring
constant of 5.50 N/m and undergoes simple harmonic motion with an
amplitude of 10.0 cm. When the block is halfway between its
equilibrium position and the end point, its speed is measured to be
28.0 cm/s.
(a) Calculate the mass of the block.
________kg
(b) Calculate the period of the motion.
________s
(c) Calculate the maximum acceleration of the block.
________m/s2
Part B
A block-spring...

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