An oscillating block-spring system has a mechanical energy of 3.03 J, an amplitude of 7.40 cm, and a maximum speed of 4.95 m/s. Find (a) the spring constant, (b) the mass of the block and (c) the frequency of oscillation. (a) Number 81.89 Units (b) Number 0.018 (c) Number 10.65 Units Units Hz N/m kg

An astronaut uses a Body Mass Measurement Device to measure her mass. If the force constant of the spring is 2900 N/m, her mass is 77 kg, and the amplitude of her oscillation is 2.3 cm, what is her maximum speed during the measurement? Express your answer to two significant figures and include appropriate units.

An oscillating block-spring system has a mechanical energy of 4.48 J, an amplitude of 7.72 cm, and a maximum speed of 1.89 m/s. Find (a) the spring constant, (b) the mass of the block and (c) the frequency of oscillation. (a) Number i Units (b) Number Units (c) Number i Units

The motion of a body is described by the equation 1.65 sin (0.470πt) where t is in s and y is in m. (a) Find the amplitude.(b) Find the period.(c) Find the frequency.(d) Find the displacement at t = 3.50 s.(e) Find the displacement at t = 23.0 s.

An object-spring system oscillates with an amplitude of 3.7 cm. If the spring constant is 265 N/m and object has a mass of 0.50 kg, determine each of the following values. (a) the mechanical energy of the system J (b) the maximum speed of the object m/s (c) the maximum acceleration of the object m/s2

A mass m = 2.75 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A= 4.5 cm and a frequency f = 0.25 Hz Part (a)  Write an equation for the spring constant k. Part (b)  Calculate the spring constant k, in Newtons per meter.  Part (c)  Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. Part (d)  Calculate the total mechanical energy E, in joules. Part (e)  If the amplitude is doubled, what happens to the total mechanical energy? Choose the best answer: E is halved. E remains unchanged. It cannot be determined with the information provided. E increases by a factor of four. E doubles.

The period of motion of an object – spring system is T = 0.528 s when an object of mass m = 238 g is attached to the spring. Find (a) the frequency of motion in hertz and (b) the force constant of the spring. (c) If the total energy of the oscillating motion is 0.234 J, find the amplitude of the oscillations.

Mass and Spring: A 3.4 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.08 m and released from rest, it reaches a top speed of 2.5 m/s as it oscillates. A group of students records the motion of = 4520. the spring for 242 seconds and deduces the system has a quality factor of Q (a) What is the period of oscillation? (b) What is the spring constant of the spring?

An object stretches a spring 6 inches in equilibrium. a) Find its displacement for t> 0 if it is initially displaced 4 inches below equilibrium and given a downward velocity of 8 ft/s. y(t) b) State the natural frequency of the oscillation. Wo = rad/s = c) State the period of the oscillation. T S = d) State the amplitude of the oscillation. R ft e) State the phase angle of the oscillation. The phase angle should be between π radians. Φ = Notes: 1. Use g rad = 32 ft/sec². 2. Upward forces and movement are associated with y > 0. Downward forces and movement are associated with y < 0. π and

A 2.2-kg object is suspended from a spring with k = 66 N/m.  The mass is pulled 0.88 m downward from its equilibrium position and allowed to oscillate.  What is the maximum kinetic energy of the object? ROUND OFF ANSWER UP TO 2 DECIMAL PLACES.  INPUT BOTH THE NUMBER AND THE UNIT (ABBREVIATION OF UNIT ONLY).