please just do the solution with all the work shown

17) A sign weighing 98 N is suspended from the middle of a 4 m long chain. The ends of the chain are attached to a ceiling at points 3 m apart. Determine the tensions in the chains. 18) A community center plans to install a new basketball hoop on the side of the building. The hoop and backboard have a combined weight of 196 N and are supported by a brace and a wire. Determine the magnitude of the tensions in the _, wire and the brace. 1 19) An airplane is flying at 560 km/h on a heading of 340. The wind is blowing at 140 km/h from the east. a) Draw a vector diagram of this situation. b) Determine the ground velocity of the airplane. 20) A sailor wishes to sail to a port that is located $25E of his present position. The average speed of his sailboat is 23 knots and the wind is blowing from N85E at 12 knots. a) Draw a vector diagram of this situation. b) In which direction should the sailor sail? c) What will the sailboat's groundspeed be? 21) A canoeist leaves a dock and paddles her canoe at an angle across a river. The current is flowing at 3 km/h. The resulting velocity of the boat is 5.4 km/h downstream, in a direction that forms a 15 angle with the adjacent shore. a) Draw a vector diagram of this situation. b) Determine the canoeist's velocity relative to the water. c) How far downstream will she be in 20 min? 22) A cruise ship is being pulled into a dock using two ropes, as shown in the diagram. Find the magnitude of the force in each rope if a resultant force of 50 000 N is needed to pull the cruise ship at the desired speed. 23) A truck weighing 17 000 N is resting on a ramp that is inclined at an angle of 15 to the horizontal. Resolve the weight of the truck into the rectangular components keeping it at rest. 24) A rope attached to a box is being used to drag it up a ramp. A 130 N force is applied to the box at an angle of 35 to the ramp. a) Find the magnitude of the force in the direction of motion of the box. Round your answer to the nearest tenth of a newton. b) Find the magnitude of the force perpendicular to the direction of motion of the box. Round your answer to the nearest tenth of a newton. 25) Suppose forces of 45N and 7ON act at an angle of 110 to each other. Find the magnitude (to 1 decimal place) and direction (to the nearest degree) of the resultant force. State the direction as an angle off the 70N force. 26) A plane is headed N10W with a speed of 600 km/h. An east wind (i.e. wind FROM the east towards the west) causes it to travel at N16W. Find the resultant ground speed of the plane, and the speed of the wind, each to 1 decimal place. 27) The force at which a tow truck pulls a car has a horizontal component of 20 000 N and a vertical component of 12 000 N. What is the resultant force on the car? 28) Determine the magnitude of the horizontal and vertical vector components of a 300 N force acting at an angle of 33 to the horizontal. 29) A box with a mass of 275 N rests on a frictionless ramp inclined at an angle of 25 to the level ground. What force must be applied to the box at an angle of 45 to the ramp so that it remains at rest