A mass m is attached to a spring of force constant k = 775 N/m and allowed to oscillate. The velocity function is graphed below. 0.50 0.25 v (m/s) 0 -0.25 -0.50 0.040 t(s) 0.080 Let x(t) = Acos(wt+p) be the position function with A > 0. Write an equation for position, velocity and acceleration with values for A in meters, w in radians per second, and p in radians.

A spring with a spring constant of k=157N/m is initially compressed by a block a distance d=0.21m. The block is on horizontal surface with coefficient of kinetic friction yk static friction ys and has a mass of m=6kg B)Assuming the block is released from the initial position and begins to move to the right input an expression for the sum of the force in the x- direction in the configuration.

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.

Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g BA A 100 g 100 g C At what point will the system have the largest total energy? O A В C All points will have the same amount of total energy.