Question

In: Physics

A mass hangs from the ceiling by a spring. It takes the mass 700 ms to...

A mass hangs from the ceiling by a spring. It takes the mass 700 ms to fall from its maximum height of 2.3m to its minimum height of 1.6m above the floor.

(a) At what height above the floor does the mass have zero acceleration?

(b) What is the maximum speed of this mass?

(c) If you start a timer ( t = 0) at the moment when the mass is falling below a height of 1.9m, then at what time t will the mass first reach a height of 2.1m?

Solutions

Expert Solution


Related Solutions

A spring with spring constant 14 N/m hangs from the ceiling. A ball is attached to...
A spring with spring constant 14 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 7.0 cm and released. The ball makes 29 oscillations in 25 s seconds. a) What is its the mass of the ball? b) What is its maximum speed?
A spring with spring constant 20 N/m hangs from the ceiling. A ball is attached to...
A spring with spring constant 20 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 8.5 cm and released. The ball makes 28 oscillations in 18 s seconds. A) What is its the mass of the ball?​ B) What is its maximum speed?​
A spring hangs from the ceiling. A block of 0.450 kg is tied to the other...
A spring hangs from the ceiling. A block of 0.450 kg is tied to the other end of the spring. When released from rest, the block lowers 0.150 m before momentarily reaching rest, after which it moves upwards. (1) What is the spring constant, K? (2) Calculate the angular frequency of the vibrations of the block.
A massless spring hangs from the ceiling with a small object attached to its lower end....
A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 10 cm below yi. (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 8.1 cm below the...
A massless spring hangs from the ceiling with a small object attached to its lower end....
A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position yi such that the spring is at its rest length. The object is then released from yi and oscillates up and down, with its lowest position being 14 cm below yi. (a) What is the frequency of the oscillation? Hz (b) What is the speed of the object when it is 12.0 cm below...
1) Sinusoidal Motion Properties in Spring Mass System- A 200g mass hangs from vibrating spring at...
1) Sinusoidal Motion Properties in Spring Mass System- A 200g mass hangs from vibrating spring at lowest point of 3cm above table and at it's highest point at 12cm above table. It's oscillation period is 4seconds. Determine the following: a. The spring constant in terms of T (period) b. The maximum velocity magnitude and maximum acceleration magnitude c. The velocity magnitude at 10cm above table d. The vertical position, velocity magnitude and acceleration magnitude at 5 seconds
The mass of 100 g hangs in a spring with the spring constants 40 N /...
The mass of 100 g hangs in a spring with the spring constants 40 N / m. The pulp is swung by the spring being stretched 14 mm. Neglect all energy losses. a) Use MatLab and draw a chart showing the distance from equilibrium mode as a function of time with the initial conditions x (0) = 14 mm and v (0) = 0 mm / s b) Determine speed as a function of time.
An ideal spring is in equilibrium, hanging from a ceiling with a 1 kg mass at...
An ideal spring is in equilibrium, hanging from a ceiling with a 1 kg mass at the end. At rest, the length of the hanging spring is 10 cm. Then, an additional 5 kg block is added to the spring, causing its length at rest to increase to 13 cm. The 5 kg block is then removed. Starting from rest, when the 5 kg block is removed, the spring begins to oscillate. What will the spring’s velocity be, the third...
A single mass m1 = 3.5 kg hangs from a spring in a motionless elevator. The...
A single mass m1 = 3.5 kg hangs from a spring in a motionless elevator. The spring is extended x = 15 cm from its unstretched length. Spring constant is 228.9 2) What is the distance the lower spring is stretched from its equilibrium length? 3) Now the elevator is moving downward with a velocity of v = -2.7 m/s but accelerating upward with an acceleration of a = 5.5 m/s2. (Note: an upward acceleration when the elevator is moving...
(1 point) A brick of mass 8 kg hangs from the end of a spring. When...
(1 point) A brick of mass 8 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3920 cm. The spring is then stretched an additional 2 cm and released with a downward force of F(t)=143cos(6t) NF(t)=143cos⁡(6t) N acts on it. Assume there is no air resistance. Note that the acceleration due to gravity, gg, is g=980g=980 cm/s22. Find the spring constant  N/cm Set up a differential equation that describes this system....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT