11. A 1.2x10³ kg space probe, travelling initially at a speed of 9.5x10 m/s through deep space, fires its engines that produce a force of magnitude 9.2x10' N over a distance

of 86 km. Determine the final speed of the probe. 12. A 73 kg skier coasts up a hill inclined at 9.3° to the horizontal. Friction is negligible. Use the work-energy theorem to determine how far along the hill the skier slides before stopping, if the initial speed at the bottom is 4.2 m/s. An ideal spring is compressed 15 cm on a horizontal surface. When released, it accelerates a block (5-g) along the frictionless surface. The block leaves the spring launcher and then travels up a long ramp and stops when it reaches a height of 0.54 m. What is spring constant of the spring? 13. Momentum & Collisions 14. A 5000 kg boxcar moving at 5.2 m/s on a level, frictionless track, runs into a stationary 8000 kg tank car. a) If they hook together during the collision, how fast will they be moving afterwards? b) If the collision is somehow completely elastic determine the speeds of the two cars after the collisions. 15. A 2000 kg car travelling cast at 24 m/s enters an icy intersection and collides with a 3600 kg truck travelling at 10 m/s [S20 W]. If they become coupled together in the collision, what is their velocity immediately after impact (size and direction)? Motion in Space 16. Tethys, one of Saturn's moons, travels in a circular orbit at a speed of 1.1x10* m/s. The mass of Saturn is 5.67x10 kg. Calculate a) the orbital radius in kilometres. b) the orbital period in Earth days. 17. A neutron star results from the death of a star about 10 times as massive as the Sun. Composed of tightly packed neutrons, it is small and extremely dense. a) Determine the escape speed from a neutron star of diameter 17 km and mass 3.4x10™ kg. b) Express your answer as a percentage of the speed of light. Electric Fields & Forces 18. The figure represents a neutral He atom with two electrons on either side of the nucleus, in a well-defined circular orbit of radius 2.64x10¹ m. Calculate the magnitude and direction of the electric force on each electron. De/n19. An electron enters a parallel plate apparatus 10.0 cm long and 2.0 cm wide, moving horizontally at 8.0x10 m/s, as in figure. Calculate a) the vertical deflection of the electron from the original path, b) the velocity with which the electron leaves the parallel plate apparatus. 60x10 -Ho 20 cm 60 x 10²V Special Relativity Figure S Magnetic Fields & Forces 20. An a particle of charge +3.2x10 C and mass 6.7x10 kg first accelerates through a potential difference of 1.2x10² V, then enters a uniform magnetic field of magnitude 0.25 Tat 90°. Calculate the magnetic force on the particle. Wave Nature of Light 21. Two sources are vibrating in phase, and set up waves in a ripple tank. A point P on the second nodal line is 12.0 cm from source A and 20.0 cm from source B. When the sources are started, it takes 2.0 s for the first wave to reach the edge of the tank, 30 cm from the source. Find the velocity, wavelength and frequency of the wave. 22. In an interference experiment, red light with a wavelength 6.0x 10m of passes through a double slit. On a screen 1.5 m away, the distance between the 1" and 11 dark bands is 2.0 a) What was the separation of the slits? b) What would the spacing be, between adjacent nodal lines, if blue light were used? ( m) 23. A spaceship goes past a planet at a speed of 0.80c. An observer on the planet measures the length of the moving spaceship as 40 m. He also says that his planet has a diameter of 2.0x10 m. a) How long does the woman on the spaceship measure the ship to be? b) What does the woman on the spaceship measure the diameter of the planet to be? c) According to the man on the planet, the spaceship takes 8.0 s to reach the next planet in his solar system. How long would the woman on the spaceship say it took?