In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or at least "massed"). One way in which this is done is to seat them in a chair of known mass attached to a spring of known force constant and measure the period of the oscillations of this system. The 35.6 kg chair alone oscillates with a period of 1.30 s, and the period with the astronaut sitting in the chair is 2.23 s. ▼ Part A Find the force constant of the spring. k= Submit ▾ Part B 772 = | ΑΣΦ Find the mass of the astronaut. Request Answer Submit ΕΠΙ ΑΣΦ Request Answer ? ? N/m kg

A spider can tell when its web has captured, say, a fly because the fly's thrashing causes the web threads to oscillate. A spider can even determine the size of the fly by the frequency of the oscillations. Assume that a fly oscillates on the capture thread on which it is caught like a block on a spring. What is the ratio of oscillation frequency for a fly with mass m to a fly with mass 2.5m?

A mass on a spring oscillates with a period of 2.2 s. (a) Where is the mass at t=8.3s if it starts from rest at x=5.0cm at t=0? (b) In what direction is the mass moving at t = 8.3 s? (c) What is the speed of the mass at t=8.3s?

A pendulum clock is accurate on earth, where the period of its pendulum is 1.00 s. (a) Find its period on the moon, where gravitational acceleration is 1.6 m/s2.(b) During a 1 h interval, what would be the elapsed time shown on the clock?

Mass and Spring: A 1.2 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.19 m and released from rest, it reaches a top speed of 1.2 m/s as it oscillates. A group of students records the motion of the spring for 321 seconds and deduces the system has a quality factor of Q = 1248. (a) What is the period of oscillation? (b) What is the spring constant of the spring?

A magnesium atom (mass ≈≈ 24 proton masses) in a crystal is measured to oscillate with a frequency of roughly 1014 Hz. What is the effective spring constant of the forces holding the atom in the crystal?

A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a ​second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds? Round your answer to three decimal places.

The displacement of an oscillating mass is given by x(t) = 30 cos( 4 t ).At time t = 0.5π s, what is the acceleration of the mass in m/s2?(Note that: π = 3.1415)

The graph shown in the figure (Figure 1) closely approximates the displacement at of a tuning fork as a function of time t as it is playing a single note. Figure x(mm) 0.4 0.2 -0.2 -0.4 AMA 2 (ms) 1 of 1 What is the amplitude of this fork's motion? A = Submit Part B T = What is the period of this fork's motion? Submit Part C | ΑΣΦ Request Answer | ΑΣΦ What is the frequency of this fork's motion? f = 426 Part D Request Answer ΠΑΣΦ Submit Previous Answers Request Answer w = 2π (224) What is the angular frequency of this fork's motion? ID ΑΣΦ ? * Incorrect; Try Again; 4 attempts remaining ? ? ? mm mns Hz rad/s Pearson

The displacement of an oscillating mass is given by x(t) = 20 cos( 2 t ). At time t = 1.5π s, what is the velocity of the mass in m/s?(Note that: π = 3.1415)