1. A 50.0 kg block of stone is suspended (i.e. at rest) as shown. Diagram not to scale T1 Tz 50" -_10 50.0 kg Find the tension in rope 1 and rope 2 (both are "massless" ropes) Note: The knot where the three ropes join is also massless. [5 marks] 2. An observer notices an ice skater (m=65.0 kg) on a frozen lake gliding on the ice at a speed of 5.50 m/s [east]. The coefficient of kinetic friction between the ice and the blades is 0.190. If the skater does not push on the ice and just glides, how far does the skater travel on the ice before coming to a stop due to the friction? [4 marks] 3. A worker pushes down along the handle of a cart of 20.0 kg mass with a force of 145 N. The handle makes an angle of 60.0 with the horizontal ground. If the coefficient of kinetic friction between the cart and the ground is 0.105, determine the magnitude of the acceleration of the cart (in m/s2). [4 marks]Section 4. Refer to the diagram to the right. Mass 1 (m,= 175 g) is on a table connected to a massless pulley, as shown. The coefficient of static friction between m, and the table is 0.240. What is the maximum mass (in kg) of m, before m, starts sliding across the table? [4 marks] m1 m1 m2 Section 5. To impress the class, a physics teacher uses a pail filled with water attached to a rope in a classic physics demonstration. The teacher then whirls the pail in a vertical circle. If the length of the rope from her hand to the centre of the pail is 1.25 m, how slow can she swing the pail to complete the circle? Justify your answer fully. Make sure to draw a free-body diagram of the pail. [3 marks]