5. A 326 g mass is fixed to an extension spring and undergoes simple harmonic motion with a time period of 0.250 s. If the total energy of the system is 5.83 J, find: the maximum speed of the object (a) 5.98 m s1 (b) 4.23 m s (c) 0.189 m s (d) 35.8 m s I) II) the spring constant (a) 306 N / m (b) 2882 N / m (c) 8.19 N / m (d) 206 N / m III) the amplitude of the motion (a) 0.168 m (b) 150 mm (c) 0.0155 m (d) 0.238 m

A 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium position. The spring constant of the spring is 1.00 N/cm. The mass is pulled downward 2.00 cm and released. What is the speed of the mass when it is 1.00 cm above the point from which it was released?   0.0443 m/s     1.73 m/s     1.67 m/s     0.0201 m/s     The mass will not reach the height specified.

1. An object of mass 50.0 g is connected to a spring with a force constant of 35.0 N m ' oscillates on a horizontal frictionless surface with an amplitude of 4.00 cm. Determine a) the total energy of the system, [ E =2.80×10² J] b) the speed of the object when the position is 1.00 cm, [v=1.03ms'] c) the kinetic and potential energy when the position is 3.00 cm. [K =1.23×10² J U=1.58×10² J)

A 3.2-kg object is suspended from a spring with k = 74 N/m.  The mass is pulled 0.75 m downward from its equilibrium position and allowed to oscillate.  What is the maximum kinetic energy of the object?

3. A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at t = 0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 3.00 cm and the frequency is 1.50 Hz. At what earliest time does this mass have the maximum positive acceleration (i.e.pointing in the positive x direction)? X = 0 +x a. t= 0.500 seconds. b. t= 0.667 seconds. Ax с. t = = 1.50 seconds. d. t= 0.167 seconds. e. t= 0.314 seconds.