A block of mass 0.259 kg is placed on top of a light, vertical spring of force constant 4 925 Min and pushed downward so that the spring is compressed by 0.095 rn. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise? (Round your answer to two decimal places.) -:m A 21.0-kg cannonball is fired from a cannon with muzzle speed of 950 m/s at an angle of 36.0\" with the horizontal. A second ball is fired with the same initial speed at an angle of 90.0\". Let y = O at the cannon. (a) Use the isolated system model to find the maximum height reached by each ball. hfirst ball = : i'i'l hsecond ball = S m (b) Use the isolated system model to find the total mechanical energy of the ballEarth system at the maximum height for each ball. En... b.\" = :1 Esecond ball: :1 A block of mass m = 6.30 kg is released from rest from point @ and slides on the frictionless track shown in the figure below. (Let h, = 7.30 m.) A B ha 3.20 m 2.00 m A (a) Determine the block's speed at points B and C. VB = m/s m/s (b) Determine the net work done by the gravitational force on the block as it moves from point to point CC.Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The object of mass m1 = 5.80 kg is released from rest at a height h = 5.40 m above the table. (.3) Using the isolated system model, determine the speed of the object of mass m2 = 3.00 kg just as the 5.80kg object hits the table. E m (in) Find the maximum height above the table to which the 3.00kg object rises. :m A block of mass m = 2.00 kg is attached to a spring of force constant k = 475 N/m as shown in the figure below. The block is pulled to a position x; = 4.55 cm to the right of equilibrium and released from rest. m x=0 x = X; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is / = 0.350. m/sA toy cannon uses a spring to project a 5.22g soft rubber ball. The spring is originally compressed by 4.91 cm and has a force constant of 7.97 N/m. When the cannon is fired, the ball moves 14.1 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 3 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? E m (b) At what point does the ball have maximum speed? S cm (from its original poSition) (c) What is this maximum speed? E m A 4.60kg block is set into motion up an inclined plane with an initial speed of v' = 8.20 m/s (see figure below). The block comes to rest after traveling d = 3.00 m along the plane, which is inclined at an angle of 6 = 30.0 to the horizontal. M5 .39- (a) For this motion, determine the change in the block's kinetic energy. :3 (b) For this motion, determine the change in potential energy of the blockEarth system. :3 (c) Determine the friction force exerted on the block (assumed to be constant). :N (d) What is the coefficient of kinetic friction? S (a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 5.00 rn. The block travels down the track, hits a spring of force constant 2,150 N/m, and compresses the spring 0.250 rn from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and C. 3,00 m B _ C lalrll 111>| E (b) What If? The spring now expands, forcing the block back to the left. Does the block reach point B? C Yes O No If the block does reach point B, how far up the curved portion of the track does it reach, and if it does not, how far short of point B does the block come to a stop? [Enter your answer in \"1-) :m