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Unit 6 and 8 Review

1. Ignoring friction with the air, at what angle relative to the horizontal would a projectile travel the greatest horizontal distance? (Unit 6)

2. A person throws a rock horizontally out of a window of a building with a speed of 10.0 m/s. The window is 30.0 m above the ground. How far from the building will the rock strike the ground? (Unit 6)

3. A golf ball is hit and leaves the tee. Neglecting air friction, what relationship exists between the vertical component of the ball’s velocity immediately after it is hit and the ball’s velocity immediately before it lands? (Unit 6)

4. Several students in a physics lab set up an apparatus shown in the diagram below. M1 is a 0.0500-kg mass attached to a cord threaded through a glass tube holder and spun in a circular path nearly parallel to the floor. What is the mass of 2 M required to maintain a speed of 12.6 m/s and radius of 1.00 m? Neglect friction. (Unit 8)

5. A cannon fires a 5.00-kg projectile at a velocity of 200. m/s at an angle of 30.0° as shown below. What is the maximum height the projectile reaches? (Unit 6)

6. A soccer player kicks a ball into the air toward the goal. Write a statement to best describe the vertical component of the ball’s acceleration. (i.e. it increases then decreases). (Unit 6)

7. If a ball is thrown horizontally at the same time another ball is dropped from the same height, how do their flight times compare? (Unit 6)

8. A boat crosses a 500-meter wide river. The boat can maintain a maximum speed of 5 m/s, and the speed of the water in the river is 2 m/s. What is the fastest time the boat can go from one side of the river to the other? (Vector drawings Unit 6)

9. A 50.0-N block is resting on an inclined plane. What is the normal force on the block? (Unit 4)

10. Mass M is attached to a string and swung in a horizontal circular path around point C as shown below. (Unit 8)

If the string breaks when the mass is at point X, sketch the path the mass will take?

11. A 2.0 x 103 kg car rounds a curve with a radius of 100 m at a velocity of 25 m/s. What frictional force between the tires and the road must exist in order to keep the car on the road? (Unit 8)

12. An object is moving in a circular path at a constant speed. Write a statement about the object’s acceleration. Include direction of the acceleration.(Unit 8)

13. An object moving in a horizontal circle with a radius of 2.80 m completes each lap in 3.00 s. What is the acceleration of the object? (Unit 8)

14. A force of 85 N keeps an object moving at 9.0 m/s in a horizontal circle with radius 1.5 m. What is the mass of the object? (Unit 8)

15. A 0.50-kg stone at the end of a string with a length of 0.60 m is rotating in a vertical circle at the uniform speed of 2.0 m/s. At the bottom of this path, what is the tension in the string? (Unit 8)

16. A car going around a circular path with a constant speed encounters a patch of oil as shown below. Which of the arrows shows the most likely direction the car will slide? (Unit 8)

17. A child swings a sand bucket in a circle uniformly as shown below. If the child releases the bucket where the X is marked on the diagram, which path will the bucket take? (Unit 8)