An object of mass 100 grams hangs from a long spring. When pulled down 10 cm from itsequilibrium position and released from rest, it vibrates with a period of 2 seconds.(a) What is the speed of the object as it passes through the equilibrium position?(b) What is the acceleration of the object when it is 5 cm above the equilibrium position?(c) When it is moving upward, how long does it take for the object to move from a point5 cm below its equilibrium position to a point 5 cm above its equilibrium position?

An object weighing 4 kg, one end of which is connected to the other end of a spring connected to the ceiling, makes an oscillating movement in a frictional environment. It is known that the friction force is proportional to the speed of the object and its proportionality coefficient is 5 Ns/m and the spring constant is 0.2 N/m. At t = 0, the object starts to move after being raised 2 m upwards from the equilibrium position, and it is known that it passes 5 m below the equilibrium position at t = 10 s. Write the differential equation that describes the motion of the object and then find the equation that relates the position of the object to time.

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.

hass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the timest= 1/12, 1/8, 1/6, 11/4, and 91/32 s. (Use g = 32 ft/s? for the acceleration due to gravity.) x(n/12) = ft x(n/8) = ft x(п/6) — ft x(п/4) — ft x(9n/32) ft (b) What is the velocity of the mass when t = 3t/16 s? ft/s In which direction is the mass heading at this instant? O downward O upward (c) At what times does the mass pass through the equilibrium position? п 3D 0, 1, 2, ..

A mass attached to a spring in a physics lab is set into oscillations. Over time the oscillations stop. This is an example of: Forced Oscillations Underdamped oscillations Critically damped oscillations Overdamped oscillations

An object is oscillating on a spring with a period of 4.60 s. At time t = 0.00 s the object has zero speed and is at x = 8.30 cm. What is the acceleration of the object at t = 2.50 s?

An oscillator is comprised of a 2.0-kg block and a 1200 N/m spring. The block is held at rest 2.5 cm from the equilibrium point and released. Assuming no friction, what is the block's maximum speed? 22 cm/s 61 cm/s 1.8 m/s 40 cm/s 87 cm/s

During an experiment, a student tests a spring's oscillation period with different masses. The testing masses are 50g, 100 g, 200 g, and 500 g. Which of the following statements is correct? The 100 g has the highest frequency. The 500 g has the highest frequency. The 50 g has the highest frequency. O The 200 g has the highest frequency.

When a 20 N can is hung from the bottom of a vertical spring, it causes the spring to stretch 20 cm. (a) What is the spring constant? (b) This spring is now placed horizontally on a frictionless table.  One end of it is held fixed, and the other end is attached to a 5.0 N can. The can is then moved (stretching the spring) and released from rest. What is the period of the resulting oscillation?