3 October 2011 PHY 2053 Exam Review 1 NEB 0101 Fall PM

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1 3 October 2011 PHY 2053 Exam Review 1 NEB 0101 Fall PM 1. A car traveling at a constant speed starts at point A, goes 50 km in a straight line to point B, immediately turns around, and returns to point A (in a straight line). The time for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip is: a. Zero b. 50 km/hr c. 100 km/hr d. 200 km/hr e. 25 km/hr 2. A motorist drives along a straight road at a constant speed of 80 m/s. Just as she passes a parked motorcycle police officer, the officer takes off after her at a constant acceleration. If the officer maintains this constant value of acceleration, what is the speed of the police officer when he reaches the motorist? a. 160 m/s b. 80 m/s c. 180 m/s d. 100 m/s e. Need to know the officer s acceleration 3. A remote controlled toy car accelerates from rest at 2.00 m/s 2 under the power of its own wheels on a horizontal balcony until it shoots off the edge of the balcony 3.00 m from its starting point. The balcony is 10.0 m high. The horizontal distance from the point if left the balcony to where the car lands on level ground is: a m b m c m d m e m 4. A rowboat crosses a river with a velocity of 3.21 mi/h at an angle Θ = 6.25 north of west relative to the water. The river is d = mi wide and carries an eastward current of V = 1.25 mi/h as shown in the figure. How far upstream from the starting point is the boat when it reaches the opposite shore? (1 mile = 5280 ft.) a. 291 ft b. 458 ft c. 374 ft d. 660 ft e. 880 ft Page 1

2 5. At t = 0 the engineer of a high-speed train traveling at speed V = 200 m/s along the x-axis sees that a car has stopped on the track a distance d = 1,000 meters ahead as shown in the figure. The engineer of the train immediately applies the brakes. If the train decelerates at a constant rate (i.e., constant acceleration in the negative x-direction), what is the minimum constant deceleration that the train must have in order to prevent a collision with the car? a. 20 m/s 2 b. 200 m/s 2 c. 2 m/s 2 d. 40 m/s 2 e. 10 m/s 2 6. An object is thrown vertically upward near the surface of the Earth. Which of the five graphs represents the velocity, ν, of the object as a function of the time t? The positive direction is taken to be upward. a. C b. B c. A d. D e. E 7. A horizontal force of magnitude 35 N pushes a block of mass 4 kg across a floor where the coefficient of kinetic friction if 0.6. What is the increase in the kinetic energy of the block when the block slides through a displacement of 5 m across the floor? a J b J c. 175 J d. 196 J e J Page 2

3 8. Near the surface of the Earth a block of mass M and initial velocity m/s is sliding to the right along the (negative) x-axis as shown. The surface is frictionless for x < 0. At x = 0 the block encounters a 45 incline ramp. If the block stops at a height h = 9.8 m, what is the kinetic coefficient of friction of the ramp? a b c d e A 9.0-kg hanging weight is connected by a string over a pulley to a 5.0-kg block sliding on a flat table as shown in the figure. If the coefficient of kinetic friction is 0.20, find the tension in the string (in N). a b c d e The system shown in the sketch is in equilibrium (i.e., the sum of all forces acting at the origin are zero). Tension T 2 has a magnitude of 45.0 N. Tension T 3 must be: a N b N c N Page 3

4 d N e N 11. Near the surface of the Earth a stone of mass M sits at rest on an elastic spring (i.e. Hooke s law spring) which is compressed a distance d by the stone. What is the spring constant k? a. Mg/d b. Mg/(2d) c. 2Mg/d d. 2Mg/d 2 e. Mgd 12. An ideal spring, with a pointer attached to its end, hangs next to a linear scale. With a 100-N weight attached, the pointer indicates 40 on the scale as shown. Using a 200-N weight instead results in 60 on the scale. Using an unknown weight, W, results in 30 on the scale. The weight of W is: a. 50 N b. 75 N c. 60 N d. 40 N e. 25 N 13. An elevator going up accelerates from rest until reaching its maximum speed. It then travels with that constant speed until it approaches the 20 th floor and finally it decelerates until stopping at the 20 th floor. You are in the elevator standing on a floor scale that reads your weight (W at rest). Which of the following plots best represents the scale reading on this journey form the ground to the 20 th floor? a. b. c. d. Page 4

5 e. 14. A hill makes an angle of 12 with the horizontal. If a 50-kg jogger runs a distance of d = 481 m up the hill as shown in the figure, how much work is done by gravity on the jogger (in J)? a. -49,000 b. 235,690 c. -235,690 d. Zero e. 49, The figure shows two blocks with masses m 1 and m 2 connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). If when released from rest the block m 2 accelerates downward an acceleration of 2g/3, what is its mass? a. 5 m 1 b. 4 m 1 c. 2 m 1 d. 3 m 1 e. 6 m 1 Page 5

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