Physics 201 Quiz 1. Jan 14, 2013

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1 Physics 201 Quiz 1 Jan 14, A VW Beetle goes from 0 to 60.0 mph with an acceleration of 2.35 m/s 2. (a) How much time does it take for the Beetle to reach this speed? (b) A top-fuel dragster can go from 0 to 60.0 mph in seconds. Find the acceleration (in m/s 2 ) of the dragster.

2 2. A fire hose ejects a stream of water at an angle of 35.0 above the horizontal. The water leaves the nozzle with a speed of 25.0 m/s. Assuming that the water behaves like a projectile, how far from a building should the fire hose be located to hit the highest possible fire? 2

3 Physics 201 Quiz 2 Jan 23, A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and D, as the drawing indicates. The magnitudes of the first three vectors are A = 3.20 km, B = 5.10 km, and C = 4.80 km. The finish line of the course coincides with the starting line. Using the data in the drawing, find the distance of the fourth leg and the angle θ. Figure 1: Problem 1.47

4 2 2. A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 535 newtons. As Figure 2 shows, she is closer to the left cliff than to the right cliff, with the result that the tension in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. Figure 2: Problem 4.62

5 Physics 201 Quiz 3 Jan 28, In Figure 3, the weight of the block on the table is 422 newtons and that of the hanging block is 185 newtons. Ignoring all frictional effects and assuming the pulley to be massless, find (a) the acceleration of the two blocks and (b) the tension in the cord. Figure 3: Problem 4.76

6 2. A student is skateboarding down a ramp that is 6.0 meters long and inclined at 18 with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. Neglect friction and find the speed at the bottom of the ramp. 2

7 Physics 201 Quiz 4 Feb 4, Computer-controlled display screens provide drivers in the Indianapolis 500 with a variety of information about how their cars are performing. For instance, as a car is going through a turn, a speed of 221 mi/h (98.8 m/s) and centripetal acceleration of 3.00 g (three times the acceleration due to gravity) are displayed. Determine the radius of the turn (in meters).

8 2. Synchronous communications satellites are placed in a circular orbit that is meters above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance? 2

9 Physics 201 Quiz 5 Feb 11, A uniform plank of length 5.0 meters and weight 225 newtons rests horizontally on two supports, with 1.1 meters of the plank hanging over the right support (see Figure 4). To what distance can a person who weighs 450 newtons walk on the overhanging part of the plank before it just begins to tip? Figure 4: Problem 9.72

10 2 2. In Figure 5, the uniform beam weighs 500 newtons. If the tie rope can support 1800 newtons, what is the maximum value the load W can have? W Figure 5: Hanging Weight

11 Physics 201 Quiz 6 Feb 18, A solid cylindrical disk has a radius of 0.15 meters. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 45-newton force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 120 rad/s 2. What is the mass of the disk?

12 2 2. Figure 6 shows a model for the motion of the human forearm in throwing a dart. Because of the force M applied by the triceps muscle, the forearm can rotate about an axis at the elbow joint. Assume that the forearm has the dimensions shown in the drawing and a moment of inertia of kg-m 2 (including the effect of the dart) relative to the axis at the elbow. Assume also that the force M acts perpendicular to the forearm. Ignoring the effect of gravity and any frictional forces, determine the magnitude of the force M needed to give the dart a tangential speed of 5.0 m/s in 0.10 seconds, starting from rest. Figure 6: Problem 9.40

13 Physics 201 Quiz 7 Feb 25, A projectile of mass kilograms is shot straight up with an initial speed of 18.0 m/s. (a) How high would it go if there were no air friction? (b) If the projectile rises to a maximum height of only 11.8 meters, determine the magnitude of the average force due to air resistance.

14 2. A solid sphere is rolling on a surface. What fraction of its total kinetic energy is in the form of rotational kinetic energy about the center of mass? 2

15 Physics 201 Quiz 8 Mar 4, Starting with an initial speed of 5.00 m/s at a height of m, a 1.50-kg ball swings downward and strikes a 4.60-kg ball that is at rest, as the drawing shows. (a) Using the principle of conservation of mechanical energy, find the speed of the 1.50-kg ball just before impact. (b) Assuming that the collision is elastic, find the velocities (magnitude and direction) of both balls just after the collision. (c) How high does each ball swing after the collision, ignoring air resistance? 1.50 kg m 5.00 m/s 4.60 kg Figure 7: Problem 7.39

16 2. A 6000-kilogram truck traveling north at 5.0 m/s collides with a kilogram truck moving west at 15 m/s. If the two trucks remain locked together after impact, with what speed and in what direction do they move immediately after the collision? 2

17 Physics 201 Quiz 9 Mar 11, Determine the length of time (in days) required for a space craft to travel along the Hohmann transfer orbit from the Earth to the Moon. (The mean distance to the Moon is meters.)

18 2. A space probe is to be launched on an escape trajectory from a circular parking orbit which is at an altitude of 185 kilometers above the Earth. Calculate the minimum speed required to escape from the parking orbit altitude. (Ignore the gravitational forces of the Sun and other planets.) 2

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