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Additional Questions (Lecture 12)

Additional Questions (Lecture 12). [1] The force acting on a particle varies as in Figure . Find the work done by the force on the particle as it moves (a) from x = 0 to x = 8.00 m, (b) from x = 8.00 m to x = 12.0 m, and (c) from x = 0 to x = 12.0 m.

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Additional Questions (Lecture 12)

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  1. Additional Questions (Lecture 12) General Physics 1, Additional Questions By/ T.A. Eleyan

  2. [1] The force acting on a particle varies as in Figure . Find the work done by the force on the particle as it moves (a) from x = 0 to x = 8.00 m, (b) from x = 8.00 m to x = 12.0 m, and (c) from x = 0 to x = 12.0 m. [2] A 4.00-kg particle is subject to a total force that varies with position as shown in Figure. The particle start from rest at x = 0. What is its speed at (a) x = 5.00 m, (b) x = 10.0 m, (c) x = 15.0 m? General Physics 1, Additional Questions By/ T.A. Eleyan

  3. [3] A 0.300-kg ball has a speed of 15.0 m/s. (a) What is its kinetic energy? (b) What If? If its speed were doubled, what would be its kinetic energy? [4] A 40.0-kg box initially at rest is pushed 5.00 m along a rough, horizontal floor with a constant applied horizontal force of 130 N. If the coefficient of friction between box and floor is 0.300, find (a) the work done by the applied force, (b) the increase in internal energy in the box-floor system due to friction, (c) the work done by the normal force, (d) the work done by the gravitational force, (e) the change in kinetic energy of the box, and (f) the final speed of the box. [5] The electric motor of a model train accelerates the train from rest to 0.620 m/s in 21.0 ms. The total mass of the train is 875 g. Find the average power delivered to the train during the acceleration. [6] A 700-N Marine in basic training climbs a 10.0-m vertical rope at a constant speed in 8.00 s. What is his power output? General Physics 1, Additional Questions By/ T.A. Eleyan

  4. [7] A 1500-kg car accelerates uniformly from rest to a speed of 10 m/s in 3s. Find (a) the work done on the car in this time, (b) the average power delivered the engine in the first 3s, and (c) the instantaneous power delivered by the engine at t = 2s. [8] A mechanic pushes a 2500kg car from rest to a speed v doing 5000J of work in the process.  During this time, the car moves 25m. Neglecting friction between the car and the road, (a) What is the final speed, v, of the car? (b) What is the horizontal force exerted on the car? [9] A 200kg cart is pulled along a level surface by an engine.  The coefficient of friction between the carte and surface is 0.4.  (a) How much power must the engine deliver to move the carte at constant speed of 5m/s?  (b) How much work is done by the engine in 3min? [10] A 65kg woman climbs a flight of 20 stairs, each 23 cm high.  How much work was done against the force of gravity in the process? General Physics 1, Additional Questions By/ T.A. Eleyan

  5. [11] A skier of mass 70.0 kg is pulled up a slope by a motor driven cable. (a) How much work is required to pull him a distance of 60.0 m up a 30.0° slope (assumed frictionless) at a constant speed of 2.00 m/s? (b) A motor of what power is required to perform this task? [12] If an applied force varies with position according to F.= 3x3 - 5, where x is in m, how much work is done by this force on an object that moves from x = 4 m to x = 7 m? [13] A horizontal force of 150 N is used to push a 40-kg box on a rough horizontal surface through a distance of 6m.  If the box moves at constant speed, find (a) the work done by the 150-N force, (b) the work done by friction. [14] When a 4-kg mass is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.5cm. If the 4-kg mass is removed, (a) how far will the spring stretch if a 1.5-kg mass is hung on it, and (b) how much work must an external agent do to stretch the same spring 4.0 cm from its unstretched position? General Physics 1, Additional Questions By/ T.A. Eleyan

  6. [15] A 650-kg elevator starts from rest. It moves upward for 3.00 s with constant acceleration until it reaches its cruising speed of 1.75 m/s. (a) What is the average power of the elevator motor during this period? (b) How does this power compare with the motor power when the elevator moves at its cruising speed? [16] A 4.00-kg particle moves along the x axis. Its position varies with time according to x = t + 2.0t 3, where x is in meters and t is in seconds. Find (a) the kinetic energy at any time t, (b) the acceleration of the particle and the force acting on it at time t, (c) the power being delivered to the particle at time t, and (d) the work done on the particle in the interval t = 0 to t=2.00 s. [17] If a man lifts a 20-kg bucket from a well and does 6 kJ of work, how deep is the well?  Assume the speed of the bucket remains constant as it is lifted. General Physics 1, Additional Questions By/ T.A. Eleyan

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