SPH 4U-2013 Review

SPH 4U Review Proportioning

1. For the following graphs, determine the proportionality statement.

Kinematics:

2. For the following v-t graph, create the associated d-t and a-t graphs

3. A

tiger leaps A

B

A

B

A

B

Velocity (m/s)

horizontally from a 15 m high rock with a speed of 7.0 m/s. How far from the base of the rock will the tiger land? (12 m)

4. A car, moving too fast for the horizontal stretch of mountain road, slides off the road falling into deep snow 43.9 m below the road, and 87.7 m beyond the edge of the road.

a) how long did the car take to fall? (2.99s)

b) How fast was the car going when it left the road? (105 km/h)

5. A player kicks a football from ground level with a velocity of 27.0 m/s at an angle of 300 _{above the horizontal. Find}

a) the time the ball stays in the air (2.76 s)

b) the distance the ball travels across the ground (64.6 m)

c) its maximum height (9.3 m)

Dynamics

6. A net force of 41.6 N accelerates an object at 4.20 m/s2 _{What is the mass of the}

object? (9.90 kg)

7. A horse pulls a 300 kg sled at constant speed over level snow by a rope at 350 _above

horizontal. If the coefficient of friction is 0.10, find the force that the horse exerts on the rope. ( 335 N)

8. An 18.0 kg box is released on a 330 _{incline and accelerates down the incline at 0.300}

m/s2 _{. Find the friction force impeding its motion. What is the coefficient of friction?}

(90.7 N, 0.613)

9. A 5.0 kg block resting on a horizontal surface is attached to a 5.0 kg block that hangs freely by a string passing over a pulley. If the coefficient of friction is 0.2 what is the block’s acceleration? ( 3.92 m/s2₎

10.What is the acceleration of the system if the coefficient of friction is 0.15? (1.36 m/s2₎

5.0 kg

Circular Motion

11. A 150 g ball at the end of a string is swinging in a horizontal circle of radius 1.15 m. The ball makes exactly 2.00 revolutions in a second. What is its centripetal

acceleration? (180 m/s2₎

12. A ball on the end of a string is reveolving at a uniform rate in a vertical circle of radius 96.5 cm. If its speed is 3.15 m/s and its mass is 0.335 kg, calculate the tension in the string at the top of its path and at the botton of its path. (0.162 N, 6.73 N)

13. Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius a) What is the car’s centripetal acceleration? (18m/s2₎

b) What would be the minimum coefficient of friction between the tires and the road that would be needed for the car to round the curve without skidding (1.8)

Momentum and Energy

14. What is the minimum work needed to push a 1000kg car 45.0 m up a 12.50 _incline?

Ignore friction. ( 9.5 x 104 _J)

15. One car has twice the mass of a second car, but only half as much kinetic energy. When both cars increase their speed by 3,0 m/s, then they have the same kinetic energy. What were the original speeds of the two cars? (2.1, 4.1 m/s)

16. A spring whose spring constant is 850 N/m, is compressed 0.40 m. what speed can it give to a 0.30 kg ball when released? Ignore the mass of the spring. (21 m/s)

17. What is the momentum of an 18.0 g sparrow flying at the speed of 15.0 m/s? (0.270 kgm/s)

18. A 44 g bullet strikes and becomes embedded in a 1.54 kg block of wood placed in front of the gun on a horixontal surface. If the coefficient of friction between the block and the surface is 0.28, and the impact drives the block 18.0 m before it comes to rest, what was the muzzle speed of the bullet? (3.6 x 102 _m/s)

19. A block ogf mass 2.00 kg slides down a 300 _{incline which is 3.6 m high. At the}

bottom, it strikes a block of mass 6.00 kg, which is at rest on the horizontal surface. If the collision is eleatic, and friction is ignored, determine the speed of the two blocks after the collision. How far back up the incline will the smaller mass go? (4.2 m/s, 4.2 m/s, 1.8 m along the incline)

20. A ball of mass 0.400 kg moving at 2.00 m/s strikes a second ball, initially at rest. The second ball’s mass is 0.400 kg.After the collision, the first ball is deflected aff at an angle of 30.00 _{with a speed of 1.20 m/s. Find the velocity of the second ball after the}

collision. (1.13m/s at an angle of 320 _{in the opposite direction)}

Electricity and Magnetism

21. The electric field between two parallel plates connected to a 45V battery is 600 V/m. How far apart are the plates? (7.5 cm)

22. An electron acquires 6.4 x 10-16 _{J of kinetic energy when it is accelerated by an}

electric field between two plates. What is the potential difference between the plates? (4.0 kV)

23. What is the electric potential 2.0 x 10-10 _{m from a proton? (7.2 V)}

24. What is the magnitude of the electric force of attraction between an iron nucleus ( 26 protons) and its innermost electron if the distance between them is 1.0 x 10-12 _m?

(68N)

25. Particles of charges +86C, +48C, and -90C are placed in a line. The centre one is 1.5 m from each of the others. Calculate the net force on each. (8.8 N, 34 N, 25 N)

Waves and Light

26. A student replicating Young’s experiment measures a distance of 5.5 cm between the first and sixth nodal lines on a screen 2.5 m away from the slit plate. If the slit

separation is 220m, what is the wavelength of light being used? (970nm)

27. With two slits 0.15 mm apart, the 2nd _{bright line to one side of centre in an}

interference pattern was found to be 7.5 mm from the centre line an a screen 1.3 m away. What was the wavelength of light? (430 nm)

28. Monochromatic light, 650 nm, passes through a single slit 1.10 x 10-3 _{cm wide. Find}

New Physics

29. An astronaut travelled to a star at a speed of 0.90c, and then returned to Earth. If 25 years passed on Earth, how much time has passed for the astronaut?

30. A train that has a proper length of 158 m and a rest mass of 8.00x105 kg is traveling at 0.925 c. What is its mass and length as measured by a stationary observer? (2.11 x 106 _{kg, 60.0 m)}

31. The rest energy of a proton is 940.5 MeV. Calculate the rest mass of the proton.

32. An electron with energy 13.2 eV collides with an element, and the electron emerges with energy of 4.5 eV. What wavelength of light would also be emitted along with the electron?

33. The work function for lithium is 4.6 x 10-19 _J.

(a) Calculate the lowest frequency of light that will cause photoelectric emission. (b) What is the maximum energy of the electrons emitted when light of 7.3 x 1014 _Hz