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Study Questions for Exam 1 1) The side of a cube is increased by 5%. The percentage increase of the surface area of the cube is, a) 5% b) 10% c) 12% d) 16% e) 18% Ans: b 2) The surface area of a sphere is increased by 8%. The percentage increase of the volume of the sphere is, a) 5% b) 10% c) 12% d) 16% e) 18% Ans: c 3) The length 4.221 cm is added to 0.01 cm. The appropriately rounded sum is, in cm, a) 4.22 b) 4.2301 c) 4.23 d) 4.2 e) 4.21 Ans: c 4) A cube is 1.0 inch in length on the side. The volume of the cube is, in cm 2 , a) 1.0 x 10 2 b) 8.4 x 10 1 c) 3.5 x 10 1 d) 1.6 x 10 1 e) 7.5 x 10 0 Ans: d 5) To be dimensionally consistent, velocity [L/T], frequency [1/T], and wavelength [L] must be related as follows: Ans: Velocity ~ frequency x wavelength 6) An airplane is flying in horizontal flight at a constant velocity. The weight of the airplane is 40,000 N. The wings produce a lift force that is perpendicular to the wings and a drag force that is parallel to the wing. The engine produces a forward thrust force of 2,000 N. Which of the following statements is true? a) The net force on the airplane is zero. b) The net force on the airplane is forward. c) The net force on the airplane is upward. d) The net force on the airplane is downward. e) The net force on the airplane is backward. Ans: a 7) In the figure above, a airport luggage carrying train with a tractor T is pulling three luggage carts, M1 , M 2 , and M 3 .with an acceleration of 1.4 m/s 2 . If T = 300 kg, M1 = 200 kg, M 2 =100 kg, and M 3 =100 kg, then the force in the connection between the tractor T and cart M1 is, a) 980 N b) 560 N c) 280 N d) 140 N e) 0 N Ans: b 8) A mass sits at rest on top of a table. Which two forces are action-reaction pair forces and thus are equal and opposite? A) The force of gravity on the mass due to the earth. B) The contact force on the mass due to the table. C) The force of gravity on the earth due to the mass. D) The contact force on the table due to the mass. a) A and C b) B and D c) A and D d) B and C e) a) and b) Ans: e 9) An object with a mass of 200 kg is 500 Km above the surface of the earth. The force of gravity on the 200 kg mass is, (G = 6.67 x 10 11 N m 2 /kg 2 , Radius of the earth is 6.38 x 10 6 m) a) 2.0 x 10 3 N b) 1.7 x 10 3 N c) 1.4 x 10 3 N d) 1.2 x 10 3 N e) 1.0 x 10 3 N Ans: b 10) A rope is connected to a scale on the left and exerts a force T1 and a rope is connected to the same scale on the right and exerts a force T2 . The scale shows a reading of Ts = 240 N. The values of T1 and T2 are, a) T1 = 80 N, and T2 = 80 N b) T1 = 120 N, and T2 = 120 N c) T1 = 240 N, and T2 = 120 N d) T1 = 120 N, and T2 = 240 N e) T1 = 240 N, and T2 = 240 N Ans: e 11) Two bricks are released from the top of a building. Brick A weighs twice as much brick B. Brick A is dropped and the brick B is thrown straight up into the air. Which statement is true regarding this situation. A) Brick A accelerates faster than the brick B. B) Brick B accelerates faster than the brick A. C) The two bricks accelerate at the same rate during the entire time they are in the air. D) The bricks have the same magnitude of acceleration but the accelerations are in opposite directions. E) The two bricks have the same acceleration except for the instant when the brick B reaches its maximum height. Ans: c 12 Which of the graphs of velocity versus time below shows the greatest constant positive acceleration? A) B) 0 C) 0 0 t v D) t v E) 0 t v 0 t v t v Ans: E 13) Two objects A and B accelerate from rest with the same constant acceleration. Object A accelerates twice as long as object B. Which statement is true concerning these objects at the end of their respective periods of acceleration? A) Object A will travel twice as far as object B. B) Object A will travel four times as far as object B. C) Object A will travel eight times as far as object B. D) Object A will be moving four times faster than object B. E) Object A will be moving eight times faster than object B. Ans: b 14) You drop a bowling ball from the top of a tall building. One second later, you drop a pingpong ball from the same point. Neglecting air resistance, what can we say about the motion of the two balls? A) The bowling ball will hit the ground more than one second before the ping-pong ball. B) The bowling ball and the ping-pong ball will hit the ground at the same time. C) The bowling ball will hit the ground exactly one second before the ping-pong ball. D) The difference in their speeds will continually increase by 9.8 m/s every second. E) The distance between the bowling ball and the-ping pong ball will remain the same until at least one of them hits the ground. Ans:c 15) A train moves along a long straight track. The graph to the right shows a plot of position (x) as a function of time (t) for this train. The graph shows that the train A) doesn’t move at all. B) speeds up all the time. C) slows down all the time. D) moves at a constant velocity. E) speeds up part of the time and slows down part of the time. x t Ans: c 16) A tractor T is pulling a trailer M with a constant acceleration. If the forward acceleration is 1.5 m/s 2 and M = 400 kg and T = 500 kg, then the force on the tractor due to the trailer is, a) 600 N backward b) 450 N backward c) 200 N forward d) 35 N forward e) 0 Ans: a 17) Two masses are suspended by cord that passes over a pulley with negligible mass. The cord also has negligible mass. One of the masses, m1 , has a mass of 5.0 kg and the other mass, m 2 , has a mass of 3.0 kg. The acceleration of m1 is, a) 3.25 b) 3.25 c) 2.45 d) 2.45 e) 1.05 Ans: d m/s 2 m/s 2 m/s 2 m/s 2 m/s 2 upward downward upward downward upward Figure 18) Two masses are connected by a cord that passes over a pulley as shown in the figure. The pulley and the cord have negligible mass. Mass 2 moves on a horizontal surface without friction and mass 1 is suspended vertically. The cord has negligible mass. Mass 1 is equal to 4.0 kg and mass 2 is equal to 8.0 kg. What is the acceleration of mass 1? a) 1.52 m/s 2 b) 2.12 m/s 2 c) 2.61 m/s 2 d) 3.27 m/s 2 e) 3.77 m/s 2 Ans: d 19) A 3.0 kg ball is thrown vertically into the air with an initial velocity of 15 m/s. The maximum height of the ball is, a) 12.0 m b) 11.5 m c) 10.0 m d) 9.5 m e) 9.0 m Ans: b 20) An object starts from rest with an acceleration of 2.0 m/s 2 that lasts for 3.0 seconds. It then reduces its acceleration to 1.0 m/s 2 that last for 5.0 additional seconds. The velocity at the end of the 5.0 seconds interval is, a) 2.0 m/s b) 3.0 m/s c) 4.0 m/s d) 5.0 m/s e) 6.0 m/s Ans: e 21) A car starting from rest travels a distance of 20.0 m with a constant acceleration of 2.0 m/s 2 . The car then slows to a stop in 10.0 seconds with a constant negative acceleration. The distance traveled by the car is, a) 36.8 m b) 46.2 m c) 50.1 m d) 58.3 m e) 64.7 m Ans: e 22) Two blocks M1 and M2 are initially at rest. M1 sits on top of M2. M1=10 Kg and M2=20 Kg. The coefficient of static friction between the floor and M1=0.4 and the coefficient of kinetic friction between the floor and M1=0.2. The coefficient of static friction between M2 and M1 is 0.7 and the coefficient of kinetic friction between M1 and M2=0.6. A force of 6 Newtons is applied horizontally on block M1. What happens? a) b) c) d) e) Ans: d Block M1 moves, Block M2 stationary Block M1 stationary, Block M2 moves Block M1 moves, Block M2 moves Block M1 stationary, Block M2 stationary Not enough information to tell 23) A ball is thrown straight up into the air. At its maximum height above the ground, a) the velocity and acceleration of the ball are both zero. b) the velocity is zero but the acceleration is not. c) the acceleration is zero but the velocity is not. d) neither the acceleration nor the velocity is zero. Ans:b