General Physics Semester Final Review

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SEMESTER REVIEW PROBLEMS

1. What is the magnitude of the sum of the horizontal components of the following vectors? (79m)

12m @ 34˚E of N 56m @ 78˚N of W 91m @ 23˚ S of E

2. Add the following vectors: 12.3m North; 45.6m East; 78.9m West; 14.7m South. (33.4m @ 4.12˚ S of

W)

3. A car travels 540km in 4.5hr. How far will it go in 8.ohr at the same average speed? (960km)

4. Bill’s motorcycle can accelerate at 7.05m/s 2 at a certain RPM and gear. How far, starting from rest, will

Bill travel in the first 2.50s? (22.0m)

5. Chuck’s car is traveling at 65.0m/s when he suddenly accelerates his car at 15.0m/s 2 for 3.00s. How far did Chuck, and his car, travel while he was accelerating? (263m)

6. An astronaut drops a feather from 1.2m above the surface of the moon. If the acceleration due to gravity is 1.62m/s 2 on the moon; how long does it take the feather to reach the ground? (1.2s)

7. Engineers are developing new types of guns that might someday be used to launch satellites as if they were bullets. One such gun can give a small object a velocity of 3.5km/s moving it through a distance of only 2.0cm. What is the acceleration of the object? (3.1x10

8 m/s 2 )

8. A box with a mass of 25.0kg is moving at a constant velocity across a horizontal surface because of a

75.0N force. Calculate the coefficient of friction acting on the box. (.306)

9. A 438kg car is accelerating east at 2.55m/s 2 . If the coefficient of friction felt by the car is 0.500; what is the total force acting east on the car? (3270N)

10. How much total force is needed to accelerate a 2.0kg block of wood at 4.0m/s 2 along a rough table, against a force of friction of 10.N? (18N)

11. A man, with a mass of 1.0 x 10 2 kg, slides across a frozen lake with an initial speed of 5.5m/s. Friction slows him, and after 4.3s he comes to a stop. How far did he slide across the lake? (12m)

12. A 25.0kg box is on a 20.0m long incline that is at an angle of 37.0˚, with a coefficient of friction of .15.

What is the boxes velocity at the bottom of the incline? (13.7m/s)

13. With what force does a 75.5kg person need to be pushed in order to go up a 22.8˚ frictionless incline at a constant velocity? (287N)

14. Tom kicks a rock horizontally off of a 20.0m high cliff. How fast did he kick the rock if it hits the ground 45.0m from the base of the cliff? (22.3m/s)

15. Nicole throws a ball at 25m/s at an angle of 60˚ above the horizontal. What was the range of the ball? (55m)

16. Calvin is walking down the street at 4.0km/hr. If he has a mass of 70.kg; what is his momentum?

(78 kgm/s)

17. A 1.0x10

4 kg freight car is rolling along a track at 3.0m/s. Calculate the time needed for a force of

1.0x10

2 N to stop the car. (300s)

18. A 3.0g bullet moving at 2.0km/s strikes an 8.0kg wooden block that is at rest on a frictionless table.

The bullet passes through and emerges on the other side with a speed of 5.0x10

2 m/s. How fast is the block moving after the collision? (.56m/s)

19. A 125kg cart with a momentum of 1250kgm/s east collides with a 225kg cart whose momentum is

2250kgm/s north. The two carts lock together. What is the velocity of the carts after the collision?

(7.34m/s @ 60.9˚ N of E)

20. A 15kg ball is rolling across the floor at 2.0m/s. A force is applied for 2.0m which increases its velocity to 5.0m/s. Calculate the magnitude of the force. (79N)

21. A 13.0kg box is lifted to a ledge that is 3.50m high in 8.00s. Calculate the power generated when moving the box. (55.6W)

22. A 24.5kg is rolling at 3.25m/s across a frictionless plane. If a 10.0N force is exerted for 2.00m on the ball, what will the new velocity of the ball be? (3.49m/s)

State whether the answer is True or False. If it is False, fix the question to make it True

1. The rate at which velocity changes with time is called acceleration.

2. The SI unit of acceleration is meters per second.

3. When a car rounds a corner at a constant speed, its acceleration is zero.

4. A ball is thrown into the air. At the highest point of its path, the ball has zero velocity and zero acceleration.

5. As a ball falls freely, the distance it falls each second is the same.

6. The amount of matter in an object is called the weight of the object.

7. The force due to gravity acting on an object is called the mass of the object.

8. The SI unit of force is called the kilogram.

9. If a hockey puck slides on a perfectly frictionless surface, it will eventually slow down because of its inertia.

10. Inertia is the resistance any material object has to a change in its state of motion.

11. The combination of all the forces that act on an object is called the net force.

12. The acceleration of an object is inversely proportional to the not force acting on the object.

13. Air resistance is caused by friction between the air and an object moving through the air.

14. The speed of an object dropped in air will continue to increase without limit until it strikes the ground.

15. When one object exerts a force on another object, the second object always exerts a force back on the first object.

16. A rocketship is pushed forward by gases that are forced out the back of the ship.

17. In order to make a cart move forward, a horse must pull harder on the cart than the cart pulls on the horse.

18. If a bicycle and a parked car have a head-on collision, the force of impact is greater on the bicycle.

19. A quantity that has both magnitude and direction is called a scalar.

20. A single vector can be replaced by two vectors in the X and Y directions. These X and Y vectors are called the resultant of the original vector.

21. When a woman pushes a lawnmower along the handle, she pushes down as well as forward.

22. Mass is a vector quantity.

23. Wind velocity can be represented as a vector quantity.

TRUE / FALSE REVIEW ANSWERS

1. T

2. F (m/s^2)

3. F (since changing direction, must be accelerating)

4. F (zero velocity, but acceleration always 9.80 m/s^2)

5. F (distance falling increases each second)

6. F (amount of matter is called mass)

7. F (force due to gravity is weight)

8. F (Newton)

9. F (inertia keeps bodies from changing; no friction = no force = same speed)

10. T

11. T

12. F (acceleration is directly proportional to net force)

13. T

14. F (when upward force of air friction equals weight you stop accelerating)

15. T

16. T

17. F (horse pushes on ground, ground pushes back to move horse+cart)

18. F (Newton's 3rd Law, equal and opposite forces)

19. F (vector has both magnitude and direction)

20. F (the original vector was the resultant of the X and Y vectors)

21. T

22. F (mass is a scalar)

23. T

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