a) A hanging spring stretches by 35.0 cm when an
object of mass 450 g is hung on it at rest. In this
situation,
we define its position as x =0. The object is
pulled down an additional 18.0 cm and released from
rest to oscillate without friction. What is its position x
at a moment 84.4 s later? (b) Find the distance traveled
by the vibrating object in part (a). (c) What If? Another
hanging spring stretches by 35.5 cm when an object of
mass 440 g is hung on it at rest. We define this new
position as x = 0. This object is also pulled down an
additional 18.0 cm and released from rest to oscillate
without friction. Find its position 84.4 s later. (d) Find
the distance traveled by the object in part (c). (e) Why
are the answers to parts (a) and (c) so different when
the initial data in parts (a) and (c) are so similar and
the answers to parts (b) and (d) are relatively close?
Does this circumstance reveal a fundamental difficulty
in calculating the future?
a) A hanging spring stretches by 35.0 cm when an object of mass 450 g is...
A spring hanging from a hook has a relaxed length of 8.1 cm with no mass attached to it. When a 0.41 kg mass is hung from the spring the spring stretches to a new equilibrium length of 12 cm. The mass is then pulled downward an additional 5.8 cm from the equilibrium position and released from rest. How fast (in m/s) is the mass moving when it first passes through the original equilibrium position of the spring (the relaxed...
A (B+25.0) g mass is hung on a spring. As a result the spring stretches (8.50+A) cm. If the object is then pulled an additional 3.00 cm downward and released, what is the period of the resulting oscillation? Give your answer in seconds with 3 significant figures. A=9, B=081
6) A mass-spring system consists of a 250-g mass hanging from a spring with a spring constant of k 0.18 J/m2. The mass is pulled down 7.1 cm from its equilibrium position and released from re a) How much work did the person do when she pulled the spring down from its equilibrium position? Assume that the mass was at rest before she pulled it down, and before it was released. (Use the energy-interaction model, not the expression W FavgAx,...
Consider a vertical spring with spring constant 23.45 N/m hanging from the ceiling. A small object with mass kg is added to the spring and the spring stretches to its equilibrium position. The object is then pulled down and released. The speed of the object a distance 8.815 cm from the equilibrium point is 2.580 times 10^-1 m/s. How far was the object pulled down? (in m) 1.401 times 10^-2 1.863 times 10^-2 2.477 times 10^-2 3.295 times 10^-2 4.382...
A 0.3 kg object is suspended on a spring below. The object stretches the spring by 0.02 m downwards. a. What's the spring constant? b. How much elastic energy is stored by stretching the spring? c. Then the object is pulled an additional distance of 1 cm downwards and released from rest. Find the frequency of oscillation.
A 696 g mass is hung on a spring. As a result the spring stretches 22.5 cm. If the object is then pulled an additional 3.00 cm downward and released, what is the period of the resulting oscillation? Give your answer in seconds with 3 significant figures.
A 980 g mass is hung on a spring. As a result, the spring stretches 27.5 cm. If the object is then pulled an additional 3.00 cm downward and released, what is the period of the resulting oscillation? Give your answer in seconds with 3 significant figures.
A 2 kg mass is hung from a spring and stretches it 12 cm. The mass is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 4 m/s. The mass is pulled down 7 cm below its equilibrium position and given an initial downward velocity of 10 cm/s. Find an initial value problem that models the displacement of the mass, measured in meters, from the equilibrium position.
A vertical spring stretches 3.4 cm when a 14-g object is hung from it. The object is replaced with a block of mass 30 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
A vertical spring stretches 3.4 cm when a 4-g object is hung from it. The object is replaced with a block of mass 30 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.