Exam 4: Forces and Motion in Two and Three Dimensions

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A box is launched up a frictionless incline with an angle of elevation A box is launched up a frictionless incline with an angle of elevation   . The maximum height reached by the box is h. The box is again launched up the incline with the same initial speed it had before, but this time the angle of elevation has been increased to   . How does the maximum height H reached this time by the box compare with the previous value h? . The maximum height reached by the box is h. The box is again launched up the incline with the same initial speed it had before, but this time the angle of elevation has been increased to A box is launched up a frictionless incline with an angle of elevation   . The maximum height reached by the box is h. The box is again launched up the incline with the same initial speed it had before, but this time the angle of elevation has been increased to   . How does the maximum height H reached this time by the box compare with the previous value h? . How does the maximum height H reached this time by the box compare with the previous value h?

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A fireman, 40.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 30.0 °\degree above the horizontal. If the initial speed of the stream is 40.0 m/s, at what height above the nozzle will the stream of water strike the building?

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A ball is launched from ground level at 30 m/s at an angle of 25 °\degree above the horizontal. How far does it go before it is at ground level again?

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A boat moves at 11.0 m/s relative to the water. If the boat is in a river where the current is 2.00 m/s, how long does it take the boat to make a complete round trip of 1000 m upstream followed by a 1000 m trip downstream?

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A box slides up an incline with an angle of elevation A box slides up an incline with an angle of elevation   . When the box reaches its maximum distance up the incline it stops and does not slide down the incline due to friction. What is the minimum value of the coefficient of static friction for this to occur? . When the box reaches its maximum distance up the incline it stops and does not slide down the incline due to friction. What is the minimum value of the coefficient of static friction for this to occur?

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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 speed of the rock as it hits the ground?

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A ball is rolled horizontally off a table with an initial speed of 0.18 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. What is the height of the table? Note: g = 9.8 m/s2 and air resistance is negligible.

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A 2000-kg sailboat experiences an eastward force of 2000 N by the ocean tide and a wind force against its sails with magnitude of 6000 N directed toward the northwest (45 °\degree N of W). What is the direction of the resultant acceleration?

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A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 40 mph. How long will it take for the plane to travel 200 miles north?

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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. If it is in its trajectory for a total of 4.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 4.00-s trajectory?

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A baseball is moving in the air along the customary parabola. Ignoring air drag, where is the force on the baseball zero?

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A projectile is launched at an angle less than A projectile is launched at an angle less than   and at speed v. Which will increase the projectile's range more, ignoring atmospheric drag? and at speed v. Which will increase the projectile's range more, ignoring atmospheric drag?

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A 12.0-kg mass is placed on a 25.0 °\degree incline and friction keeps it from sliding. The coefficient of static friction in this case is 0.580 and the coefficient of sliding friction is 0.520. The mass is given a shove causing it to slide down the incline. Taking down the incline as positive, what is the acceleration of the mass while it is sliding?

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A block is launched up an inclined plane. After going up the plane, it slides back down to its starting position. The coefficient of friction between the block and the plane is 0.3. The time for the trip up the plane:

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Five boxes, each having weight 100 N, are stacked up. The bottom box is the fifth from the top. What is the magnitude of the normal force upward exerted by the third box from the top on the second box from the top?

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A projectile is launched with speed v at an angle A projectile is launched with speed v at an angle   , the angle being less than   . What other angle would give the same range for this projectile launched at the same speed v? , the angle being less than A projectile is launched with speed v at an angle   , the angle being less than   . What other angle would give the same range for this projectile launched at the same speed v? . What other angle would give the same range for this projectile launched at the same speed v?

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A ball is rolled horizontally off a table with an initial speed of 0.18 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. How far away from the table does the ball land? Note: g = 9.8 m/s2 and air resistance is negligible.

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A sphere is dropped from a great height and when its speed reaches 20 m/s, its acceleration downward is 8.4 m/s2. If the drag force is proportional to the square of the speed, what will be its acceleration downward when its speed reached 40 m/s?

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Superguy is flying at treetop level near Paris when he sees the Eiffel Tower elevator start to fall (the cable snapped). His x-ray vision tells him Lois LaTour is inside. If Superguy is 1.00 km away from the tower, and the elevator falls from a height of 2.1 * 102 m, how long does Superguy have to save Lois, and what must be his average speed?

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A 25-g traffic light hangs midway on a cable between two poles 40 meters apart. If the sag in the cable is 0.40 meters, what is the tension in each side of the cable?

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