Q1:

Two workers are trying to move a heavy crate. One pushes on the crate with a force :4? , which has a magnitude of 464 newtons (N) and is directed due west. The other pushes with a force '3' , which has a magnitude of 155 N and is directed due north. What are (a) the magnitude and (b) direction of the resultant force 37 + '3' applied to the crate? Suppose that the second worker applies a force - '3' instead of '3' . What then are (c) the magnitude and (d) direction of the resultant force :4? - '3' applied to the crate? In both cases express the direction as a positive angle relative to due west. {P (a) Number a Units north of west 1' (b) Number l Units 4} (c) Number n Units (d) Number Units Southofwest Multiple Concept Example 9 reviews the concepts that play a role in this problem. As an aid in working this problem, consult Concept Simulation 1.1. Two forces are applied to a tree stump to pull it out of the ground. Force 3: A has a magnitude of 2580 newtons (N) and points 37.0 south of east, while force F.' B has a magnitude of 2090 N and points due south. Using the component method, nd the (a) magnitude and (b) direction of the resultant force :5: A + 3: B that is applied to the stump. Specify the direction as a positive angle with respect to due east. 1b (a) Number I Units l 1. (b) Number l Units l A skateboarder shoots off a ramp with a velocity of 5.1 m/s, directed at an angle of 59 above the horizontal. The end of the ramp is 1.5 m above the ground. Let the x axis be parallel to the ground, the +ydirection be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp? 4} (a) Number l Units 4} (b) Number Units In the aerials competition in skiing, the competitors speed down a ramp that slopes sharply upward at the end. The sharp upward slope launches them into the air, where they perform acrobatic maneuvers. The end of a launch ramp is directed 63 above the horizontal. With this launch angle, a skier attains a height of 13.9 m above the end of the ramp. What is the skier's launch speed? Number Units 4}