Conceptual Physics - Problems for Chapter 3. Show your work and write your answers on a separate piece of paper.
1. A woman is driving in downtown Sacramento. Because of all the one-way streets she has to go 2 blocks east, then 4 blocks north, then 6 blocks west, then 3 more blocks north, three more blocks west and finally one block south. Each block is approximately 100 meters.
Add all the vectors and draw her resultant displacement. Then calculate the magnitude of this resultant.
2. Draw the resultant vector for the vectors drawn below. For those with more than two vectors does it matter in which order you add them?
3. For the two situations below, draw the resultant velocity vectors and the vertical and horizontal component vectors at several points. (A) A boy kicks a rock off a bridge into the water below. (B) A skier jumper launches off the end of a ski ramp and lands on a hill lower than where he started.
4. If Boston Red Sox legend Carl Yaztremski, hit a ball due west with a speed of 50.0 m/s and the ball encountered a wind that blew it north at 5.00 m/s, what was the resultant velocity of the baseball? In what direction?
5. Clifton Chenier is piloting his swampboat through a reiver in Lousiana. His boat only has one speed. When he goes upstream he can only travel at 8 m/s, whereas he goes 12m/s when he goes downstream. What is the current of the river? What is the speed of the boat? What would be the resultant speed of his boat if instead going up or down the river, he tried to go across it? Draw the vectors in all cases.
6. Esther dives off a 3-m springboard and bounces up with a velocity of 8.0 m/s at an angle of 80˚ to the horizontal. What are the horizontal and vertical components of her velocity.
7. Bert is standing on a ladder picking apples in his grandfather’s orchard. As he pulls each apple off the tree, he tosses it into a basket that sits on the ground 3.0m below him and a horizontal distance of 2.0m away. How fast horizontally must Bert throw the apples for them to land in the basket?
8. In the movie “The Gods Must Be Crazy” (one of my favorites by the way) it begins with a pilot dropping a Coke bottle out of an airplane. It is recovered by a surprised native below, who thinks it is a message from the gods. If the plane from which the bottle was dropped was flying 350m above the ground and the plane is traveling at 40m/s, how far horizontally will the ball travel from its initial dropping point when it hits the ground? Ignoring air resistance of course.
9. The Essex county sheriff is trying to determine the speed of a car that slid off a small bridge on a snowy New England night and landed in a snow pile 4.00m below the level of the road. The tire tracks in the snow show that the car landed 12.0m horizontally from the bridge. How fast was the car going when it left the road?
10. Jackie Chan is filming a new movie. In one scene the script calls for him to jump from a crane to the top of a building. The crane is 6 m above the building. Jackie Chan can run at a maximum speed of 7 m/s before jumping horizontally. He tells the director he can make the jump if the crane is a horizontal distance of 10 m away. Should the director let him try the stunt? Explain your answer.
11. Emanuel Zacchini, the famous human cannonball of the Ringling Bros. And Barnum & Bailey Circus, was fired out of a cannon with a speed of 24.0 m/s at an angle of 40.0˚ to the horizontal. If he landed in a net 56.6 m away at the same height from which he was fired, how long was Zacchini in the air? (Hint: Start by finding the horizontal and vertical components of the velocity)
12. Superman can “leap tall building in a single bound”. How high a building could Superman jump over if he were to leave the ground with a speed of 60.0 m/s at an angle of 75 ˚ to the horizontal? (Hint: You’ll need the formula you used on the back of concept practice book WS 2-2)