FORM A FINAL Physics 231 December 11th 2008 Name Student Number Constants usable in the problems g 9 80 m s2 R 8 31 J mol K Conversion from Celcius to Kelvin T K T C 273 15 1 Which of the following quantities is a vector a the speed of a sports car b the temperature of a metal rod c the volume of a water can d the displacement of a tennis player e the height of a building 2 A car starts from rest to accelerate with a 2 0m s2 until it reaches a velocity of 20 m s What distance did the car cover during the process a 20 m b 40 m c 1 0 x102 m d 2 0 x102 m e 1 0 x103 m 3 A bullet is fired straight up with an initial velocity of 2 0x10 2 m s Assuming that air friction is negligible and that the initial height can be ignored what is the maximum height the bullet will reach a 1 0x102 m b 8 6x102 m c 2 0x103 m d 4 0x103 m e 1 2x104 m 4 A 5 0 Kg sledge moves on ice with a speed of 3 0 m s when it encounters a level surface with kinetic coefficient of friction equal to 0 15 Determine the distance it travels before stopping a 0 5 m b 3 1 m c 5 0 m d 6 6 m e 30 m 5 Two blocks are in contact on a frictionless table M2 5 0 kg and M1 2 0 kg A force F of 70 N is applied to the largest block Find the amplitude of the contact force that M1 exerts on M2 a 0 0 N b 10 N c 20 N d 50 N e 70 N 6 A 0 25 kg block is dropped onto a vertical spring with spring constant k 2 5x102 N m The block becomes attached to the spring and compresses it by 12 cm before momentarily stopping Determine the height relative to the point of maximum compression from which the block was dropped a 0 12 m b 0 73 m c 1 5 m d 1 5 x102 m e None of the above 7 A person rides in a centrifuge at a fair The centrifuge rotates at constant speed and a person inside experiences a centripetal acceleration of 4 0 m s2 Assuming the person stands at a radius of 4 0 m what is the tangential linear speed of the person a 1 0 m s b 8 0 m s c 2 0 m s d 16 m s e None of the above 8 A planet has two moons with identical mass Moon 1 is in a circular orbit with radius R and moon 2 is in a circular orbit with a radius 2R If F2 is the magnitude of the gravitational force exerted by the planet on moon 2 and F1 is the magnitude of the gravitational force exerted by the planet on moon 1 what is the ratio F2 F1 a 4 b 2 c 1 d 0 5 e 0 25 9 A marine recruit of mass m 65 0 Kg is ordered to perform the daily exercise regimen of 20 push ups as illustrated in the figure The distance between the feet and the centre of gravity is 1 00 m and the distance between the feet and the hands is 1 75 m As the recruit pushes down with his hands the reaction force Freaction pushes him up What is the minimum magnitude of F reaction in order to accomplish the push ups a 65 N b 364 N c 637 N d 1115 N e None of the above 10 A student is initially at rest on a horizontal merry go round mounted on a frictionless axle see figure When the student begins to walk counterclockwise around the perimeter which of the following statements must be true of the merrygo round a It remains stationary b It turns counterclockwise c It turns clockwise d It could turn clockwise or counterclockwise depending on the ratio of the moments of inertia of the merry go round and of the student e None of the above 11 For safety in climbing a mountaineer uses a nylon rope that is 50 m long and 1 0 cm in diameter When supporting the 90 kg climber the rope elongates by 1 6 m What is the Young s modulus of the rope a 2 0 x 106 Pa b 1 8 x 107 Pa c 8 8 x 107 Pa d 9 0 x 107 Pa e 3 5 x 108 Pa 12 A hole is poked through the side of a tank holding water The hole is at a depth h 18 cm below the water surface Assuming the tank diameter is very large compared to the hole size and assuming the outside pressure P0 is the same at the top and on the side what is the initial speed v of the outflow a 0 18 m s b 1 9 m s c 3 0 m s d 3 5 m s e 4 9 m s 13 A vertical cylinder of cross sectional area A 0 050 m2 is fitted with a tight fitting frictionless piston of mass m 5 0 kg If there is 0 050 mol of an ideal gas in the cylinder at 310 K determine the height h at which the piston will be in equilibrium The cylinder is placed in an environment at pressure P0 1 0 x103 Pa Vcylinder A h R 8 31 J mol K a 0 82 m b 1 3 m c 2 6 m d 26 m e 85 m 14 An ideal gas is initially at a temperature T1 a pressure P1 and occupies a volume V1 Its temperature is then increased by a factor of 4 while its pressure is kept constant What is the ratio r of its new volume V2 and its initial volume V1 r V2 V1 a 0 25 b 0 5 c 1 d 2 e 4 15 A 0 400 kg iron horseshoe that is initially at 500 C is dropped into a bucket containing 20 0 kg of water at 22 0 C What is the final equilibrium temperature Neglect any energy transfer to or from the surroundings The specific heat of iron is 448 J kg C and the specific heat of water is 4186 J kg C a 1 10 C b 2 20 C c 23 0 C d 261 C e 478 C 16 A rod of gold is in thermal contact with a rod of silver of same length and crosssectional area the thermal conductivity for gold is 314 W m C and 427 W m C for silver The extremity of the gold rod is maintained at 80 0 C while the extremity of the silver rod is maintained at 30 0 C Insulation around the rods prevents any heat to leave the system through …
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