A 2.50 kg mass is pushed against a horizontal spring of force constant 25.0 N/cm on a table with a coefficient of friction of 0.15. The spring is attached to the tabletop, but the mass is not attached to the spring in any way. When the spring has been compressed enough to store 11.5 J of potential energy in it, the mass is suddenly released from rest. a) Find the maximum speed of the mass. When does this occur? b) What is the greatest acceleration of the mass? When does it occur?

A ball of mass 0.5kg is tied to a string of length 1.0 meters, and the other end of the string is tied to a rigid support. The ball is held straight out horizontally and is then released. a) What is the speed of the ball at the lowest point of its motion? b) What is the tension in the string at its joint? Show the fbd/figure, given and formula used.

4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.

A 50 g  particle that can move along the  x-axis experiences the net force Fx=2.0t^2 N where t  is in s. The particle is at rest at t = 0 s What is the particle's speed at tt = 2.6 ss? v=________