A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By...
A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By stretching the block and then releasing it, the block-spring system undergoes simple harmonic motion. The block’s position as a function of time is given by
x = 45.0 cm cos(3pi(t) - pi/3)
a. Determine the angular frequency and period of the motion
b. Determine the amplitude
c. Determine the phase angle
e. Determine the time when the position x = -18.0cm
f. Determine the time when the velocity v = +1.50m/s
g. Determine the acceleration at time = 3.00s
h. Determine the mechanical energy of the system at t = 25.0s
i. determine the spring constant
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A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By...
1. A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface....
1. A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. The spring constant is 280N/m. The block-spring system undergoes simple harmonic motion. At a time t=0s, the position of the block x= +A and its velocity vx= 0. At t=2.50s the position x = -12.0 cm No credit awarded without correct units! a. Determine the angular frequency and period of the motion b. Determine the amplitude c. Determine the phase angle d. Write the...
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to...
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to a spring (k = 750 N/m). The system is initially at rest and is in equilibrium MI Second DIOCK (M=1.5 kg) approaches with a speed of 3.5 m/s and undergoes all inelastic collision with the first block (i.e.. they stick together after the collision). (a) What is the amplitude of the resulting simple harmonic motion (in cm)? (b) What is the angular frequency (w)...
A block rests on a frictionless horizontal surface and is attached to a spring. When set...
A block rests on a frictionless horizontal surface and is
attached to a spring. When set into simple harmonic motion, the
block oscillates back and forth with an angular frequency of 5.0
rad/s. The drawing shows the position of the block when the spring
is unstrained. This position is labeled ''x = 0 m.'' The drawing
also shows a small bottle located 0.080 m to the right of this
position. The block is pulled to the right, stretching the spring...
A block rests on a frictionless horizontal surface and is attached to a spring..... Chapter 10,...
A
block rests on a frictionless horizontal surface and is attached to
a spring.....
Chapter 10, Problem 81 A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 9.8 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled "x=0m." The drawing also shows a small bottle located 0.080 m to...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The blocks mass is 10.0kg. The mass of the spring is negligible. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constantf= 1.35 rad. a) determine the timeit takes for the spring to be compressed 6.50cm after it was released b) determine the acceleration of the black at t = 1.50 s.
1. A 500 g block is attached to a spring on a frictionless horizontal surface. The...
1. A 500 g block is attached to a spring on a frictionless horizontal surface. The block is pulled to stretch the spring by 10 cm, then is gently released. A short time later, as the block passes through the equilibrium position, its speed is 1.0 m/s. a) What is the amplitude of the oscillation? b) What is the phase constant? c) What is the block’s period of oscillation? d) What is the spring constant of the spring? e) What...
A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion,...
A block rests on a frictionless
horizontal surface and is attached to a spring. When set into
simple harmonic motion, the block oscillates back and forth with an
angular frequency of 7.2 rad/s. The drawing indicates the position
of the block when the spring is unstrained. This position is
labeled "x = 0 m." The drawing also shows a small bottle located
0.079 m to the right of this position. The block is pulled to the
right, stretching the spring...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The mass of the block is 14.5 kg. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constant φ=?. a) if the velocity of the block is -2.00 m/s at t= 0.150 s, what is the phase constant? b) determine the acceleration of the block at t = 0.150 s. c) what...
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached...
A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached to a spring. The other end of the spring is attached to a wall. The mass is pulled and released. The resultant simple harmonic motion has a period of 5 s and it is observed that the maximum velocity of the mass is 0.3 m/s. a) Calculate the spring constant of the spring. (b) Calculate the amplitude of the motion. Sometime later, when the...
a 4.5 kg block on a horizontal frictionless surface is attached to an ideal spring whose...
a 4.5 kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 450 N. The block is pulled from its equilibrium position at x=0.000 m to a position x=+0.080 m and is released from rest. The block then executes harmonic motion along the horizontal x-axis. The maximum kinetic energy of the system is closest to _____?
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to a spring (k = 750 N/m). The system is initially at rest and is in equilibrium MI Second DIOCK (M=1.5 kg) approaches with a speed of 3.5 m/s and undergoes all inelastic collision with the first block (i.e.. they stick together after the collision). (a) What is the amplitude of the resulting simple harmonic motion (in cm)? (b) What is the angular frequency (w)...
A block rests on a frictionless horizontal surface and is
attached to a spring. When set into simple harmonic motion, the
block oscillates back and forth with an angular frequency of 5.0
rad/s. The drawing shows the position of the block when the spring
is unstrained. This position is labeled ''x = 0 m.'' The drawing
also shows a small bottle located 0.080 m to the right of this
position. The block is pulled to the right, stretching the spring...
A
block rests on a frictionless horizontal surface and is attached to
a spring.....
Chapter 10, Problem 81 A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 9.8 rad/s. The drawing shows the position of the block when the spring is unstrained. This position is labeled "x=0m." The drawing also shows a small bottle located 0.080 m to...
A block rests on a frictionless
horizontal surface and is attached to a spring. When set into
simple harmonic motion, the block oscillates back and forth with an
angular frequency of 7.2 rad/s. The drawing indicates the position
of the block when the spring is unstrained. This position is
labeled "x = 0 m." The drawing also shows a small bottle located
0.079 m to the right of this position. The block is pulled to the
right, stretching the spring...
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