# TEACHER ANSWER KEY November 12, Phys - Vectors

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1 Phys - Vectors TEACHER ANSWER KEY November 12, A 1.5-kilogram lab cart is accelerated uniformly from rest to a speed of 2.0 meters per second in 0.50 second. What is the magnitude of the force producing this acceleration? N N N N 2 2. Forces A and B have a resultant R. Force A and resultant R are represented in the accompanying diagram. Which vector best represents force B?

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3 2 3. Which graph best represents the motion of an object that is not in equilibrium as it travels along a straight line? 4 4. Three forces act on a box on an inclined plane as shown in the accompanying diagram. [Vectors are not drawn to scale.] If the box is at rest, the net force acting on it is equal to

4 1. the weight 3. friction 2. the normal force 4. zero Skip this question 5. The accompanying diagram shows a 50.-kilogram crate on a frictionless plane at angle theta to the horizontal. The crate is pushed at constant speed up the incline from point A to point B by force F. If angle theta were increased, what would be the effect on the magnitude of force F and the total work W done on the crate as it is moved from A to B? 1. W would remain the same and the magnitude of F would decrease. 2. W would remain the same and the magnitude of F would increase. 3. W would increase and the magnitude of F would decrease. 4. W would increase and the magnitude of F would increase.

5 2 6. A vector makes an angle, theta, with the horizontal. The horizontal and vertical components of the vector will be equal in magnitude if angle theta is degrees degrees degrees degrees 1 7. A man standing on a scale in an elevator notices that the scale reads 30 newtons greater than his normal weight. Which type of movement of the elevator could cause this greater-than-normal reading? 1. accelerating upward 3. moving upward at constant speed 2. accelerating downward 4. moving downward at constant speed

6 4 8. A 60-kilogram skydiver is falling at a constant speed near the surface of Earth. The magnitude of the force of air friction acting on the skydiver is approximately 1. 0 N N 2. 6 N N Skip this question 9. An astronaut weighs 8.00 X 10 2 newtons on the surface of Earth. What is the weight of the astronaut 6.37 X 10 6 meters above the surface of Earth? N X 10 3 N X 10 2 N X 10 3 N

7 3 10. When a 12-newton horizontal force is applied to a box on a horizontal tabletop, the box remains at rest. The force of static friction acting on the box is 1. 0 N N 2. between 0 N and 12 N 4. greater than 12 N Two forces are applied to a 2.0-kilogram block on a frictionless horizontal surface, as shown in the diagram. The acceleration of the block is m/s 2 to the right m/s 2 to the right m/s 2 to the left m/s 2 to the left

8 3 12. A bird feeder with two birds has a total mass of 2.0 kilograms and is supported by wire as shown in the diagram. The force in the top wire is approximately N N N N No Explanation Available An astronaut weights 500 newtons on Earth and 25 newtons on asteroid X. The acceleration due

9 to gravity on asteroid X is approximately 1. 1 m/s m/s m/s m/s A tennis ball is hit with a tennis racket. Compared to the magnitude of the force of the racket on the ball, the magnitude of the force of the ball on the racket is 1. smaller 3. the same 2. larger 1

10 15. A 1.2 X kilogram car is accelerated uniformly from 10. meters per second to 20. meters per second in 5.0 seconds. What is the magnitude of the net force acting on the car during this 50.- second interval? X 10 3 N X 10 3 N X 10 3 N X 10 3 N The diagram shows a child pulling a 50.-kilogram friend on a sled by applying a 300.-newton force on the sled rope at an angle of 40. o with the horizontal N N N N

11 1 17. Which combination of three concurrent forces acting on a body could not produce equilibrium? 1. 1 N, 3 N, 5 N 3. 3 N, 4 N, 5 N 2. 2 N, 2 N, 2 N 4. 4 N, 4 N, 5 N Forces F 1 and F 2 act concurrently on point P, as shown in the diagram.

12 The equilibrant of F 1 and F 2 is N southwest N southwest N southeast N southeast

13 2 19. A 100.-newton force acts on point P, as shown in the diagram.the magnitude of the vertical component of this force is approximately

14 N N N N F y =F G sinθ = 100 N (sin30) = 50. N The diagram shows a person exerting a 300.-newton force on the handle of a shovel that makes an angle of 60.' with the horizontal ground. The component of the 300.-newton force that acts perpendicular to the ground is approximately N N N N No Explanation Available. F y =F G sinθ = 300 N (sin60) = 260 N Which graph best represents the motion of an object that has no unbalanced force acting on it?

15 No Explanation Available As an angle between a force and level ground decreased from 60 degrees to 30 degrees, the vertical component of the force 1. decreases 3. remains the same 2. increases No Explanation Available A river flows due east at 1.5 meters/second. A motorboat leaves the north shore of the river and heads due south at 2.0 meters/seconds, as shown in the diagram. Which vector best represents the resultant velocity of the best relative to the riverbank?

16 No Explanation Available Which statement explains why a book resting on a table is in equilibrium? 1. There is a net force acting downward on the book. 2. The weight of the book equals the weight of the table. 3. The acceleration due to gravity is 9.8 m/s^2 for both the book and the table. 4. The weight of the book and the table's upward force on the book are equal in magnitude, but opposite in direction. No Explanation Available The vector represents the resultant of two forces acting concurrently on an object at point P. Which pair of vectors best represents two concurrent forces that combine to produce this resultant force vector?

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