A 3.9 kg mass is connected to a spring (k=179 N/m) and is sliding on a...

A 3.9 kg mass is connected to a spring (k=179 N/m) and is sliding on a horizontal frictionless surface. The mass is given an initial displacement of +18 cm and released with an initial velocity of -16 cm/s. Determine the acceleration of the spring at t=1.9 seconds. (include units with answer)

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A block of mass 1.59 kg is connected to a spring of spring constant 148 N/m...

A block of mass 1.59 kg is connected to a spring of spring constant 148 N/m which is then set into oscillation on a surface with a small coefficient of kinetic friction. The mass is pulled back 30.6 cm to the right and released. On the first right to left oscillation, the mass reaches 29.38 cm to the left. Part A What is the coefficient of friction? Part B To what distance does the mass return on the slide back...

a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m...

a block of mass m=0.10 kg attached to a spring whose spring constant is k=2.5 N/m . At t=0.2s, the displacement x=-0.3m, and the velocity v=-2.0m/s a) find the equation of displacement as a function of time b) sketch the displacement as a function of time for the first cycle starting t=0s

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)...

A mass m = 3.27 kg is attached to a spring of force constant k =...

A mass m = 3.27 kg is attached to a spring of force constant k = 60.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.17 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...

A mass m = 1 kg is attached to a spring with constant k = 4...

A mass m = 1 kg is attached to a spring with constant k = 4 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 5 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction? c =

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...

A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...

a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and...

a. A 0.5 kg mass attached to a linear spring, with spring constant 5 N/m and damping constant 0.2 kg/s, is initially displaced 10 cm from equilibrium. (a) What is the natural frequency of oscillation? What is its period of oscillation? How long does it take for the amplitude to decrease to 10% of its starting value? How many oscillations have occurred in this time? What fraction of the initial energy remains after this time? b. Two traveling waves with...

1. A mass of 0.019 kg attached to a spring with spring constant 27.0 N/m is...

1. A mass of 0.019 kg attached to a spring with spring constant 27.0 N/m is pulled to the right 8.0 cm and released. The mass oscillates with a frequency of 6.0 Hz. If the mass is pulled to the right 16.0 cm before being released, what is the frequency? a. 6.0 Hz b. 3.0 Hz c. 1.5 Hz d. 12 Hz e. 24 Hz 2. A window loses power/heat energy through a pane of glass to the cold outside....

Three small balls of mass 4.2 kg, 2.1 kg, and 3.9 kg are connected by light...

Three small balls of mass 4.2 kg, 2.1 kg, and 3.9 kg are connected by light rods laying along the y-axis. The rod connecting the first and second balls is 5 m long and the rod connecting the second and third balls is 2.5 m. The entire system rotates around the x-axis, which is between the first and second balls and a distance 2.3 m from the first ball, at a rotational speed 2.3 s-1 (a) What are the linear...

A 2kg mass attached to a spring with k = 120 N / m is oscillating...

A 2kg mass attached to a spring with k = 120 N / m is oscillating in an oil tub, which dampens oscillations. A) If the oil damping constant is b = 10kg / s, how long will it take for the amplitude of the oscillations to decrease to 2% of its original value? B) What should be the damping constant to reduce the amplitude of the oscillations by 99% in 1 second?

Subjects