A 8.92 kg mass is initially moving with a velocity 11.25(m/s)i^ on a horizontal plane. The coefficient of kinetic friction is 0.259. Determine how far the mass moves before coming to rest (in m). (use g = 9.8 m/s2 as the magnitude of the acceleration of gravity)
![A 30 kg mass is held against a spring of stiffness 600 N/m on a smooth horizontal surface compressing it by an amount d. When the mass is released from rest (from point A ), the spring accelerates it until it reaches its relaxed length, after which the mass moves away from the spring. It then encounters a rough horizontal patch of length 3.25 m (beginning at point B), with a coefficient of kinetic friction of 1/9. After leaving the rough patch (at point C) the mass continues to move horizontally until it reaches x = 0, after which it moves along the smooth vertical surface described by: y(x) = x3 9 (with x and y in m, for x > 0 ). When the mass reaches x = +2.0 m along the cubic curve (labelled point D on the diagram), its speed is measured to be 2.50 m/s. Ignore air resistance throughout this problem, and take g = 10 m/s2 (in −y direction). a) [5] What initial compression d in the spring was required so the mass arrives at point D moving at 2.50 m/s? b) [5] At point D, what is the instantaneous i) magnitude of the normal force the curve exerts on the mass and ii) the mass' rate of change of speed? (Note: Since you've been given the speed at D, parts a and b are completely independent of each other.)](https://www.doubtrix.com/uploads/editor/1276136357XvOVXovqvl.png)
![A 12.0−g wad of sticky clay is hurled horizontally at a 100−g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming to rest. If the coefficient of kinetic friction between the block and the surface is 0.650 , what was the speed of the clay immediately before impact? (5 - Appl) A curling stone A (mA = 25 kg) is moving at 3.0 m/s [E] down the centre line of the ice toward an opponent's stone B (mB = 15 kg), initially at rest. Immediately after this collision, stone A continues moving with a velocity of 1.8 m/s [E22∘N]. What is the velocity of stone B after the collision? ( 5−Appl)](https://www.doubtrix.com/uploads/editor/3423785431WKRTGDASxc.jpg)
