August 2, 2008Final Exam: Physics 1APUT YOUR CODE NUMBER ON YOUR SCANTRON!!!!PUT YOUR CODE NUMBER ON YOUR SCANTRON!!!! You will NOT get credit for the final if you forget to put your CODE # on your scantronEQUATIONSv = v0 + atΔx = v0t + (1/2)at2v2 = v02 + 2aΔxΣF = maW = (Fcosθ)ΔxKET = (1/2)mv2PEG = mgyPES = (1/2)kx2Wnc = ΔPE + ΔKEp = mvI = FΔtω = ω0 + αtΔθ = ω0t + (1/2)αt2ω2 = ω02 + 2αΔθΔθ = Δs/rvT = ωraT = αraC = v2/rτ = rFsinθΣτ = IαI = Σmr2L = IωKER = (1/2)Iω21) – 2) Ball 1 is thrown vertically in the air with a speed v. Ball 2 is thrown from the sameposition with the same speed v but at an angle of 45o.1) Which ball has a greater speed at the top of its trajectory?A) Ball 1B) Ball 2C) The speeds of both balls are equal to vD) The speeds of both balls are equal to 02) Which ball is in the air longer?A) Ball 1B) Ball 2C) They are in the air for the same amount of timeD) It depends on the magnitude of v3) A ball is thrown vertically upwards by a passenger on a train moving at constant velocity. To astationary observer outside the train, the velocity of the ball at the top of its trajectory isA) greater thanB) less thanC) equal tothe velocity observed by the passenger.4) A projectile launched with speed v at an angle θ falls below the straight line path it would followif there were no gravity. If the projectile has been traveling for 1 s, how many meters below thisstraight line path has the projectile fallen?A) 9.8 mB) 4.9 mC) it depends on θD) it depends on v5) A skydiver jumps out of a hovering helicopter and a few seconds later a second skydiver jumps outso they both fall along the same vertical line relative to the helicopter. At what point is the differencein their velocities the greatest?A) right after the second skydiver jumps out of the planeB) right before the first skydiver reaches the groundC) the difference in their velocities is constantD) there is no difference in their velocities, they both fall at the same velocity6) – 7) Two physics student of mass m1 and m2 are on skateboards and push against oneanother. m1 is twice as large as m2 (m1 = 2m2).6) How do the magnitudes of the resulting forces on the two students compare (F1 and F2 are theforces exerted on m1 and m2 respectively)?A) F1 = 2F2B) F1 = (1/2)F2C) F1 = F2D) F1 = 4F27) How do the magnitudes of the resulting accelerations of the two students compare (a1 and a2 arethe accelerations of m1 and m2 respectively)?A) a1 = 2a2B) a1 = (1/2)a2C) a1 = a2D) a1 = 4a28) If an object is undergoing circular motion and is increasing its speed, in what direction is the netforce on the object?A) perpendicular to the object’s velocityB) the same direction as the object’s velocity (tangent to the circular path of motion)C) the force has both tangent and perpendicular componentsD) the net force on the object is zero9) – 10) A pendulum swings back and forth in a circular arc. The highest point it reaches is 30ofrom the vertical axis.9) What is the direction of the net force on the pendulum bob at the bottom point of the swing?A) +y directionB) –y directionC) +x directionD) the net force on the pendulum bob is zero10) What is the direction of the net force on the pendulum bob at the highest point of the swing?A) parallel to the pendulum string, point towards the axis of rotationB) parallel to the pendulum string, point away from the axis of rotationC) perpendicular to the pendulum string, pointing downwardsD) perpendicular to the pendulum string, pointing upwards11) How does the tension in the pendulum string at the highest point of the swing compare to thetension in the string at the bottom point?A) the tension is greater than at the bottom of the swingB) the tension is less than at the bottom of the swing, but not zeroC) the tension is the same as at the bottom of the swingD) the tension in the string is zero12) You are standing in the center of a merry-go-round rotating at constant angular speed, as youmove to the outer edge of the merry-go-round, which statement is true?A) rotational kinetic energy is conservedB) the angular speed decreasesC) the angular momentum decreasesD) the moment of inertia decreases13) A solid sphere, a ring and block, all with equal masses, start from rest from the same height andtravel down a frictionless inclined plane. The sphere and ring both have radius R and the cube has alength 2R. The sphere and ring roll down the incline without slipping while the block slides down theincline. The times for the sphere, the ring and the block the reach the bottom of the incline are tS, tRand tB, respectively. Rank the finishing times from fastest to slowest.A) tB < tS < tRB) tR < tS < tBC) tB < tR < tSD) tB < tR = tS14) Student 1 (mass = m) sits at the left end of a massless seesaw of length L and Student 2 (mass =2m) sits at the right end. Where must the pivot of the seesaw be placed so the system is inequilibrium?A) L/2B) L/3 from the left (from Student 1)C) L/3 from the right (from Student 2)D) The system can’t be in equilibrium15) You apply a force of magnitude F in different directions to a block of mass M to move it at aconstant velocity across a rough surface (with friction) as shown above. In which case is the normalforce acting on the block the greatest?A) AB) BC) CD) The normal force is equal in all cases16) – 17) A block, starting from rest from a height h, travels down a frictionless ramp, thenslides an additional distance x1 along the floor before coming to a stop. If, instead, the rampwere not frictionless and the coefficient of kinetic friction between the ramp and the block wasµr …16) How would the work done by friction over the entire motion (ramp + floor) compare?A) it would be greater if the ramp has frictionB) it would be less if the ramp has frictionC) it would be the same in both casesD) it depends how far the block slides along the floor17) How would the distance traveled along the floor compare with x1?A) it would be greater than x1B) it would be less than x1C) it would be the same as x1D) not enough information given18) A mass of speed v hits a horizontal spring and compresses it a distance d. If the speed of themass were doubled (2v) what would the new compression distance be?A) dB) 2dC) d/2D) 4dMMFMFFABC19) – 20) An airplane is flying with a speed of 720 km/h in the horizontal direction when anengine falls off. It takes 100 s for