IB Physics Mechanics Review. Name _______________________________ Code __ 1. The resistive force F acting on a sphere of radius r moving at speed v through a liquid is given by F = cvr, where c is a constant. Which of the following is a correct unit for c? A. N B. N s–1 C. N m2 s–1 D. N m–2 s 2. A student measures a distance several times. The readings lie between 49.8 cm and 50.2 cm. This measurement is best recorded as A. 49.8 ± 0.2 cm. B. 49.8 ± 0.4 cm. C. 50.0 ± 0.2 cm. D. 50.0 ± 0.4 cm. 3. Two forces of magnitudes 7 N and 5 N act at a point. Which one of the following is not a possible value for the magnitude of the resultant force? A. 1 N B. 3 N C. 5 N D. 7 N 4. A ball is released from rest near the surface of the Moon. Which one of the following quantities increases at a constant rate? A. Only distance fallen B. Only speed C. Only speed and distance fallen D. Only speed and acceleration 5. Which are all vectors? A. velocity, distance, time, acceleration B. force, speed, displacement C. displacement, velocity, acceleration, force D. volume, distance, time, area 6. Which are all scalars? (Same choices as #5) 7. A girl walks 15 km North, 25 km East, and then 5.0 km South. What is the magnitude of her resultant displacement from the origin? (Diagram and solve.) A. 27 km B. 35 km C. 37 km D. 45 km E. not given 8. A projectile is launched with a velocity of 20.0 m/s at an angle of 30.0o with the horizontal. What are the velocities in the x and y directions, respectively? (Diagram and solve.) A. 17.3 m/s and 25.8 m/s B. 17.3 m/s and 10.0 m/s C. 25.8 m/s and 10.0 m/s D. 10.0 m/s and 32.4 m/s E. not given 9. (Continuing with #8) What is the total time in the air? A. 2.04 s B. 1.25 s C. 1.02 s D. not given 10. (Continuing with #8) What is the range, i.e. the maximum displacement in the x direction? A. 35.3 m B. 10.2 m C. 20.4 m D. not given 11. (Continuing with #8) What is the maximum height, i.e. the maximum displacement in the y direction? A. 2.55 m B. 10.2 m C. 5.10 m D. not given 12. A simple pendulum has a length of 10.0 m. How much time should it take to vibrate back and forth once? A. 5.84 s B. 3.27 s C. 12.8 s D. 6.34 s E. not given 13. A 25 kg brick is being pulled along a level table at constant speed by a force of 75N. Draw the diagram showing all forces acting on the brick, and then use your equations to find the coefficient of friction between the brick and the table. A. .31 B. .53 C. .39 D. 3.0 E. not given 14. A car is moving at 35 m/s and is brought to a stop in 1.75s. If the mass of the car is 1050 kg, calculate the force needed to stop it. A. +4.5x104 N B. -4.5x104 N C. +2.1x104 N D. –2.1x104 N E. not given 15. Who devised the Three Laws of Planetary Motion after studying the star charts for 16 years? A. Kepler B. Galileo C. Copernicus D. Brahe E. Cavendish 16. Who proposed the Law of Universal Gravitation and the value of the Gravitational Constant, G? A. Newton B. Galileo C. Copernicus D. Brahe E. Cavendish 17. By what factor would your weight change if your mass doubles, the Earth’s mass triples, and the radius of the Earth is cut in half. A. 3 B. 6 C. 9 D. 12 E. 24 18. A satellite is in low Earth orbit at 225 km above the surface. What is its orbital velocity? A. 7.78x103 m/s B. 4.28x104 m/s C. 5.19x103 m/s D. 6.31x104 m/s E. not given 19. A geosynchronous satellite appears to remain over one spot on earth. (Direct TV, for example.) If it has an orbital radius of 4.23x107 m, what is its orbital period? A. 33 hrs B. 16 hrs C. 90 hrs D. 12 hrs E. 24 hrs 20. Calculate the Efficiency of a machine if a force of 25.0 N must be applied for a distance of 1.2 m, in order for the machine to lift a 125 N weight from the ground to a height of .15 m. 21. Ball A, of mass 12.5 kg, and moving at .50 m/s collides with a stationary ball, B, of mass 4.5 kg. After the collision, ball B is now moving at 1.0 m/s. calculate the speed of ball A. 22. Calculate the work that must be done on a mass of 3.8 kg to change its speed from 7.5 m/s to 10.0 m/s. 23. Find the spring constant, k, if a mass-spring system oscillates with a period of 2.5 seconds when a mass of 1.75 kg is attached to the spring. 24. How much work is done if a force of 25.0 N is applied at an angle of 35.0⁰ to move a block. The mass of the block is 38.0 kg, and it is moved across a level floor a distance of 4.5 m. 25. How far in AU’s is Neptune from the Sun, if it takes 165 years to complete its orbital period? 26. A 2.5 kg ball falls from a height of 17.0 m. What is its velocity the instant it strikes the ground? 27. The mass from #26 bounces off the floor to a height of 10.0 m. How much of its original potential energy did it “lose”? 28. The gravitational force of attraction between two masses, 1.33 mm apart, is 2.36 N. If one mass is twice the other, find the mass of each one. 29. A machine has an efficiency of 40.0 %. If it can lift a mass of 115 kg to a height of .230 m, when an applied force of 200.0 N is applied, through what distance was the force exerted? 30. If a “seconds” pendulum is 25 cm long where g = 9.81 m/s2, how long would it have to be if used on the surface of the Moon, where the acceleration due to gravity is g/6 ? 31. A moving object has a momentum of 50 kg m/s and kinetic energy of 250 J. Find its mass and velocity. 32. At what point between the Earth and the Moon if the net gravitational force zero on a 1.0 kg mass? (The mass of the Moon is 7.35x1022 kg, and the distance between the Earth and Moon is 384.4 million meters.