43. When a mass of 3 kg was hung from a spring, the spring was stretched...

Transcribed Image Text:

43. When a mass of 3 kg was hung from a spring, the spring was stretched by 8 cm. Let's call this the equilibrium state of the system. (a) Find the spring's elastic constant. The mass was then pulled down for additional 2 cm, and then let go. Assume that the ensuing oscillations are not damped. Find: (b) The amplitude of the oscillations. (c) The period of the oscillations. (d) The position of the mass with respect to its equilibrium position after 3 seconds. (e) The maximum velocity of the mass. (f) The velocity of the mass after 3 seconds. Was the mass moving up or down? (note: to solve parts (d) and (f) you'll need a calculator that has sine and cosine functions. You'll have to set the mode of the calculator to radians, or to convert radians to degrees. 1 radian-57.2958 degrees.) 43. When a mass of 3 kg was hung from a spring, the spring was stretched by 8 cm. Let's call this the equilibrium state of the system. (a) Find the spring's elastic constant. The mass was then pulled down for additional 2 cm, and then let go. Assume that the ensuing oscillations are not damped. Find: (b) The amplitude of the oscillations. (c) The period of the oscillations. (d) The position of the mass with respect to its equilibrium position after 3 seconds. (e) The maximum velocity of the mass. (f) The velocity of the mass after 3 seconds. Was the mass moving up or down? (note: to solve parts (d) and (f) you'll need a calculator that has sine and cosine functions. You'll have to set the mode of the calculator to radians, or to convert radians to degrees. 1 radian-57.2958 degrees.)

Answer rating: 100% (QA)

a To find the springs elastic constant we can use Hookes Law which states that the force exerted by a spring is directly proportional to the displacem... View the full answer