Vectors Problem Packet Homework Solutions (10-17)

Since 61 < 63.4 < 64o, the world is safe!!!!! 10. The world is again being attacked by hostile aliens from outer space. This looks like a job for Superman! With his super strength, he is able to fend off the attack. However, he wants to rid the earth of these dangerous aliens forever. As they fly away, they must pass close to our sun. They are heading on a bearing of East with a speed of Worp 8. If Superman can change their course to a bearing of between [N 61o E] and [N 64o E], they will crash into the sun. He gives them a velocity of Worp 4 on a bearing North. What happens? Has Good triumphed again? Since 61 < 63.4 < 64o, the world is safe!!!!! R Worp 4 [N] q Worp 8 [E] or ….

11. Resolve the vector at the right into its vertical and horizontal components. And so……. The x-component is 34.47 km and the y-component is 28.93 km Notice that the components are always perpendicular to each other. 45 km y 40o x

Problem #12 See answers at back of packet

13. Wonderwoman, in a feat of super strength, pulls a sled loaded with 20 kids over the sand at the beach (she’s a little early for the winter but can’t wait) with a force of 2,000 lbs. The rope makes a 20o angle with the horizontal. Find the components of the rope. F =2000 lbs Fy 20o Fx

14. A VW is parked on a hill with a slope of 30o 14. A VW is parked on a hill with a slope of 30o. The car has a downward force of 9,000 newtons. Find the component forces. (Hint: One component is parallel to the slope and the other is perpendicular to the slope). Part 1 How do we know the two angles shown are congruent? Notice the 3 right triangles??? 30o Pink + Green = 90o See next slide for Solution to problem #17

Now, let’s find those components  14. A VW is parked on a hill with a slope of 30o. The car has a downward force of 9,000 newtons. Find the component forces. (Hint: One component is parallel to the slope and the other is perpendicular to the slope). Part 2 Now, let’s find those components  30o 9000 N 30o

15. A man pushes a lawn mower with a 500-newton force 15. A man pushes a lawn mower with a 500-newton force. The handle makes a 40o angle with the ground. Find the horizontal and vertical components of his applied force. ??? 40o 40o F [Downward] [ In motion direction ]

16. Another man pulls a wagon with his son sitting in it 16. Another man pulls a wagon with his son sitting in it. The man pulls the wagon with a force of 200 N at an angle of 40o with the ground. The sidewalk provides 30 N of friction in the opposite direction of the man’s motion. What is the net force on the wagon in the direction parallel to the ground? 40o friction 40o F + = 123.2 N [direction of motion] 153.2 N 30 N

135 meters from the plate, horizontally, and 10 meters vertically 17. A baseball is hit from homeplate into the outfield bleachers. It lands 135 meters from the plate, horizontally, and 10 meters vertically above the field. If the ball is in the air for 5 seconds, find: a) the average velocity of the ball during the trip (Both magnitude and direction). b) the average velocity of the ball’s shadow upon the field during the trip (magnitude only 135.37m 10 m 4.24o 135 m