Exam 4: Forces and Motion in Two and Three Dimensions

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The accelerating force of the wind on a small 250-kg sailboat is 707 N northeast. If the drag of the keel is 500 N acting west, what is the acceleration of the boat?

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The coefficient of static friction between the tires of a car and the street is µs = 0.58. Of the following, what is the steepest inclination angle of a street on which a car can be parked (with wheels locked) without slipping?

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A box of mass m is placed on an incline with angle of inclination A box of mass m is placed on an incline with angle of inclination   . The box does not slide. The magnitude of the frictional force in this case is: . The box does not slide. The magnitude of the frictional force in this case is:

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A 500-N tightrope walker stands at the center of the rope. If the rope can withstand a tension of 1400 N without breaking, what is the minimum angle the rope can make with the horizontal?

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A 6.0-kg object is falling downward with an acceleration of 3.27 m/s2. Of the following values, which is nearest to the drag force on the object?

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A stone is thrown with an initial speed of 15 m/s at an angle of 53 °\degree above the horizontal from the top of a 40-m building. If g = 9.8 m/s2 and air resistance is negligible, what is the magnitude of the horizontal displacement of the rock?

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As a car goes up a hill, there is a force of friction between the road and the tires rolling on the road. The maximum force of friction is equal to:

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A 250-kg crate is placed on an adjustable inclined plane. If the crate slides down the incline with an acceleration of 0.25 m/s2 when the incline angle is 25 °\degree , then what should the incline angle be for the crate to slide down the plane at constant speed? Note: g = 9.8 m/s2.

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A stone is thrown with an initial speed of 15 m/s at an angle of 53 °\degree above the horizontal from the top of a 40-m building. If g = 9.8 m/s2 and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?

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A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T1. Cable 2 applies a force upward and to the left at an angle of 37.0 °\degree to the negative x axis and has a tension T2. What is the tension T1?

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A boxcar of mass 200 tons at rest becomes uncoupled on a 1.5 °\degree grade. If the track is considered to be frictionless, what speed does the boxcar have after 10 seconds?

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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. If the coefficient of sliding friction is 0.10, find the tension in the string. 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. If the coefficient of sliding friction is 0.10, find the tension in the string.

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Wiley Coyote has missed the elusive Road Runner once again. This time, he leaves the edge of the cliff at 40.0 m/s horizontal velocity. If the canyon is 100 m deep, how far from his starting point on the edge of the cliff does the coyote land?

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A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. At what point is the magnitude of the acceleration at a minimum? Note: Air resistance is negligible.

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In the terminology "a 500-N block", the "500-N" refers to the block's:

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Jamal pulls a 150-N sled up a 28.0 °\degree slope at constant speed by a force of 120 N. Near the top of the hill he releases the sled. With what acceleration does the sled go down the hill?

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A river flows due east at 2.0 m/s. A boat crosses the 300 m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?

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A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 °\degree with respect to the horizontal. What is the maximum vertical displacement that the ball reaches during its trajectory?

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Plane A is flying at 600 mph in the northeast direction relative to the Earth. Plane B is flying at 500 mph in the north direction relative to the Earth. What is the speed of Plane B as observed from Plane A?

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A 500-N tightrope walker stands at the center of the rope such that each half of the rope makes an angle of 15.0 °\degree with the horizontal. What is the tension in the rope?

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