Question
In: Physics
A novelty clock has a 0.0104 kg mass object bouncing on a spring that has a...
A novelty clock has a 0.0104 kg mass object bouncing on a spring that has a force constant of 1.28 N/m. How many joules of kinetic energy does the object have at its maximum velocity if the object bounces 2.77 cm above and below its equilibrium position? What is the maximum velocity of the object in m/s? Show work.
Solutions
genius_generous answered 8 months agoRelated Solutions
An object with mass 3.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 3.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s.(a) Calculate the amplitude of the motion._____ m(b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]______ m/s
A 11.9-kg object oscillates at the end of a vertical spring that has a spring constant...
A 11.9-kg object oscillates at the end of a vertical spring that
has a spring constant of 1.80 ✕ 104 N/m. The effect of
air resistance is represented by the damping coefficient
b = 3.00 N · s/m.
(a) Calculate the frequency of the damped oscillation.
Hz
(b) By what percentage does the amplitude of the oscillation
decrease in each cycle?
%
(c) Find the time interval that elapses while the energy of the
system drops to 3.00% of its...
A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...
A spring with a mass of 1 kg has damping constant 10 kg/s and a
spring constant 41 kg/s2 . If the spring begins at equilibrium
position and is given a velocity of 2 m/s, find the position of the
mass at any time t. Is this overdamping, critical damping or
underdamping?
A spring with a mass of 1 kg has damping constant 10 kg/s and a spring...
A spring with a mass of 1 kg has damping constant 10 kg/s and a
spring constant 41 kg/s2 . If the spring begins at equilibrium
position and is given a velocity of 2 m/s, find the position of the
mass at any time t. Is this overdamping, critical damping or
underdamping?
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 Nm. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resistance numerically equal to the
magnitude of the instantaneous velocity. If the system is driven by
an external force of 9cos(3t)−6sin(3t) N,determine the steady-state
response in the form Rcos(ωt−δ).
A spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 Nm. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resistance numerically equal to the
magnitude of the instantaneous velocity. If the system is driven by
an external force of 15cos(3t)−10sin(3t) N,determine the
steady-state response in the form Rcos(ωt−δ)
An object with m1 = 5kg is attached to a spring of negligible mass. This mass/spring...
An object with m1 = 5kg is attached to a spring of
negligible mass. This mass/spring combination is then slid
horizontally on a frictionless surface with a velocity of 5m/s
towards a stationary object with m2 = 6kg. Upon impact,
the spring compresses, then we examine two cases. First, find the
velocities of the two objects assuming the spring completely
relaxes again after the interaction. Second, assume that
m2, after they separate, slides up a frictionless
incline.
(a) What is...
spring-mass system has a spring constant of 3 Nm. A mass of 2 kg is attached...
spring-mass system has a spring constant of 3 Nm. A mass of 2 kg
is attached to the spring, and the motion takes place in a viscous
fluid that offers a resistance numerically equal to the magnitude
of the instantaneous velocity. If the system is driven by an
external force of 15cos(3t)−10sin(3t) N,determine the steady-state
response in the form Rcos(ωt−δ).
R= _________
ω=__________
δ=___________
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 N/m. A mass of 2
kg is attached to the spring, and the motion takes place in a
viscous fluid that offers a resis- tance numerically equal to the
magnitude of the instanta- neous velocity. If the system is driven
by an external force of (12 cos 3t − 8 sin 3t) N, determine the
steady-state response.
(a) Find the gain function if the external force is f(t) =
cos(ωt).
(b)...
1.) A mass-spring system consists of an object of mass 1 Kilogram connected to a spring...
1.) A mass-spring system consists of an object of mass 1
Kilogram connected to a spring with a stiffness of 9. The damping
constant is 6. Derive the function (1) that determines the distance
from the equilibrium point if the initial position is 3 meters from
the equilibrium point and the initial speed is 3 meters per
second.
a.) What is the maximum distance from the equilibrium point?
b.) Determine the general solution of the nonhomogeneous linear
differential
equation using...
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