1)When middle C on a piano (frequency 100 Hz) is struck, it loses half its energy after 2.0 s. a)What is the decay time t? b)What is the Q factor for this piano wire?

If s represents the displacement and t represents the time for an object moving with rectilinear motion according to the given function, find the instantaneous velocity for the given time. 7) s=73 +1012+4t + 10; t=3 7) A) 137 B) 87 C) 263 D) 253 8) The power P (in W) generated by a particular windmill is given by P= 0.015 V3 where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 9.5 mph. Round answer to the nearest tenth. A) 9.0 W/mph B) 25.7 W/mph C) 4.1 W/mph D) 0.4 W/mph 9) Murrel's formula for calculating the total amount of rest, in minutes, required after performing a particular type of work activity for 30 minutes is given by the formula R(w) = 30(w - ), where w- 1.5 w is the work expended in kilocalories per min. A bicyclist expends 6 kcal/min as she cycles home from work. Find R'(w) for the cyclist; that is, find R'(6). A) 13.33 min2/kcal C) 3.7 min2/kcal B) 2.96 min2/kcal D) 444 min2/kcal 10)…

I am very lost concerning this. Please work it out for me so I may see! You are very appreciated!! problem:  A mass is attached to a spring and the spring is stretched to an initial position 50cm from its rest position. The mass returns to its initial position in 0.75 seconds.  (a)write an equation that gives the displacement of the mass from its rest position at "t" seconds.  (b) Find the distance traveled by the mass in 12 seconds. Assume that the damping is negligible.

A small block of mass M = 850 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 3.5 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 1.5 cm and released.Randomized Variables M = 850 gD = 1.5 cmk = 3.5 N/m a) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2.  b) Write an equation for the largest spring constant kmax for which the upper block does not slip.  c) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.

(b) What is the maximum speed? I have attached the file thanks.

A carriage runs along rails on a rigid beam. The carriage is attached to one end of a spring of equilibrium length r0 and force constant k, whose other end is fixed on the beam. On the carriage, another set of rails is perpendicular to the first along which a particle of mass m moves, held by a spring fixed on the beam, of force constant k and zero equilibrium length. Beam, rails, springs, and carriage are assumed to have zero mass. The whole system is forced to move in a plane about the point of attachment of the first spring, with a constant angular speed ω. The length of the second spring is at all times considered small compared to r0. What is the energy of the system? Is it conserved?

Problem 11: A small block of mass M= 350 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 1.9 N/m. The coefficient of static friction between the blocks is μ =0.2. The lower block is pulled until the attached spring is stretched a distance D = 2.5 cm and released. Randomized Variables M = 350 g D = 2.5 cm k = 1.9 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement? amax = k D/(3 M+M ) ✓ Correct! Part (b) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s². ✓ Correct! | @mar= 0.03390 Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Kmax = μ (M +M) g/kl

B 1.5m One end of a light inextensible string is attached to a particle A of mass 2kg. The other end of the string is attached to a second particle B of mass 2.5kg. Particle A is in contact with a rough plane inclined at e to the horizontal, where cos e =. The string is taut and passes over a small smooth pulley P at the top of the plane. The part of the string from A to P is parallel to a line of greatest slope of the plane. Particle B hangs freely below Pat a distance 1.5m above horizontal ground, as shown in the diagram. The coefficient of friction between A and the plane is u. The system is released from rest and in the subsequent motion B hits the ground before A reaches P. The speed of B at the instant that it hits the ground is 1.2ms. (a) For the motion before B hits the ground, show that the acceleration of B is 0.48 ms2. (b) For the motion before B hits the ground, show that the tension in the string is 23.3N. (c) Determine the value of u. After B hits the ground, A contimues…

A small block of mass M = 850 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 3.5 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 1.5 cm and released.Randomized Variables M = 850 gD = 1.5 cmk = 3.5 N/m a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement?  b) Calculate a value for the magnitude of the maximum acceleration amax of the blocks in m/s2.  c) Write an equation for the largest spring constant kmax for which the upper block does not slip.