4. A mass, m, is suspended from a vertically oriented spring, with constant, k. A downward impulse, J, is delivered to the mass, driving the spring-mass system into oscillatory motion. Express all answers in terms of given quantities and fundamental constants. What is the speed of the mass immediately after delivery of the impulse? a. Answer 4a: b. What is the amplitude of motion?

A 50-cm-long spring is suspended from the ceiling. A 250 g mass is connected to the end and held at rest with the spring unstretched. The mass is released and falls, stretching the spring by 20 cm before coming to rest at its lowest point. It then continues to oscillate vertically. a. What is the spring constant?b. What is the amplitude of the oscillation? c. What is the frequency of the oscillation?

The motion of a body is described by the equation y = 2.10 sin (0.170πt), where t is in s and y is in m. a. Find the amplitude b. Find the period  c. Find the angular frequency

Consider an ideal spring with spring constant k = 20 N/m. The spring is attached to an object of mass m = 2.0 kg that lies on a horizontal frictionless surface. The spring-mass system is compressed a distance xo = 50 cm from equilibrium and then released with an initial speed vo= 0 m/s toward the equilibrium position. x=0 equilibrium initial state a. What is the period of oscillation for this system? b. Starting at t = 0, how long will it take for the object to first return to the equilibrium position?

7. A spring with a spring constant of 55 N/m² is set up horizontally on a frictionless surface with a 3.5 kg mass attached to the spring. If the mass is stretched 0.125 m from equilibrium and released from rest then determine the following:

7. A 0.250 kg block oscillates on a spring horizontally on a frictionless surface. The spring has a spring constant of 200 N/m. The amplitude of the oscillations is 24.5 cm. a. What is the period of this mass-spring system (in seconds)? b. What is the maximum speed of the block (in m/s)?