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Physics Problem Solutions - Friction, Forces, and Energy

This article provides solutions to various physics problems related to friction, forces, and energy, including determining stationary values, accelerations, tensions, work done, speeds, and heights.

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Physics Problem Solutions - Friction, Forces, and Energy

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  1. Aplications

  2. Question 1 • A block of mass 3.00 kg is pushed up against a wall by aforce Pthat makes a 50.0° angle with the horizontal asshown in Fig. The coefficient of static friction be-tween the block and the wall is 0.250. Determine the possible values for the magnitude of Pthat allow the block toremain stationary.

  3. Solution 1

  4. Question 2 • Three objects are connected on the table as shown inFig. The table is rough and has a coefficient ofkinetic friction of 0.350. The objects have masses of4.00kg, 1.00kg, and 2.00kg, as shown, and the pulleysarefrictionless. Draw free-body diagrams of each of theobjects. (a) Determine the acceleration of each objectand their directions. (b) Determine the tensions in thetwo cords.

  5. Solution 2

  6. Solution 2

  7. Question 3 • A block of mass 2.50kg is pushed 2.20 m along a friction-less horizontal table by a constant 16.0-N force directed25.0°below the horizontal. Determine the work done onthe block by (a) the applied force, (b) the normal forceexerted by the table, and (c) the gravitational force.(d)Determine the total work done on the block

  8. Solution 3

  9. Question 4 • A 4.00-kg particle is subject to a total force that varies withposition as shown in Fig. The particle starts 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?

  10. Solution 4

  11. Question 5 • A 15.0-kg block is dragged over a rough, horizontal sur-face by a 70.0-N force acting at 20.0°above the horizontal.The block is displaced 5.00 m, and the coefficient of kinetic friction is 0.300. Find the work done on the block by(a) the 70-N force, (b) the normal force, and (c) the gravitational force. (d) What is the increase in internal energyof the block-surface system due to friction? (e) Find the total change in the block’s kinetic energy.

  12. Solution 5

  13. Question 6 • Two blocks of masses Mand 3Mare placed on a horizontal, frictionless surface.A light spring is attached to oneof them, and the blocks are pushed together with thespring between them (Fig.). A cord initially holdingthe blocks together is burned; after this, the blockofmass 3Mmoves to the right with a speed of 2.00m/s. • What is the speed of the block of mass M? • (b) Findthe original elastic potential energy in the spring ifM=0.350kg

  14. Solution 6

  15. Question 7 • Two blocks are free to slide along the frictionless woodentrack ABCshown in Fig. The block of mass m1=5.00kg is released from A. Protruding from its front end isthe north pole of a strong magnet, repelling the northpole of an identical magnet embedded in the back end ofthe block of mass m2=10.0kg, initially at rest. The twoblocks never touch. Calculate the maximum height towhich m1rises after the elastic collision

  16. Solution 7

  17. Question 8 • Two objects are connected by a light string passing over alight frictionless pulley as shown in Fig. The object of mass 5.00kg is released from rest. Using the principle of conservation of energy, (a) determine the speed ofthe 3.00-kg object just as the 5.00-kg object hits theground. (b) Find the maximum height to which the 3.00-kg object rises

  18. Solution 8

  19. Question 9 • A force acting on a particle moving in the xyplane is givenby Fx=2yi +x2j)N, where xand y are in meters. Theparticle moves from the origin to a final position havingcoordinates x=5.00m and y=5.00m, as in Fig.Calculate the work done by Falong (a) OAC, (b) OBC,(c)OC.(d) Is Fconservative or nonconservative? Explain.

  20. Solution 9

  21. Solution 9

  22. Solution 9

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