Aplications

Question 1 A block of mass 3.00 kg is pushed up against a wall by a force P that makes a 50.0° angle with the horizontal as shown 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 P that allow the block to remain stationary.

Solution 1

Question 2 Three objects are connected on the table as shown in Fig. The table is rough and has a coefficient of kinetic friction of 0.350. The objects have masses of 4.00kg, 1.00kg, and 2.00kg, as shown, and the pulleys are frictionless. Draw free-body diagrams of each of the objects. (a) Determine the acceleration of each object and their directions. (b) Determine the tensions in the two cords.

Solution 2

Solution 2

Question 3 A block of mass 2.50 kg is pushed 2.20 m along a friction-less horizontal table by a constant 16.0-N force directed 25.0°below the horizontal. Determine the work done on the block by (a) the applied force, (b) the normal force exerted by the table, and (c) the gravitational force. (d)Determine the total work done on the block

Solution 3

Question 4 A 4.00-kg particle is subject to a total force that varies with position 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?

Solution 4

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 energy of the block-surface system due to friction? (e) Find the total change in the block’s kinetic energy.

Solution 5

Question 6 Two blocks of masses M and 3M are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them (Fig.). A cord initially holding the blocks together is burned; after this, the block of mass 3M moves to the right with a speed of 2.00m/s. What is the speed of the block of mass M? (b) Find the original elastic potential energy in the spring if M=0.350kg

Solution 6

Question 7 Two blocks are free to slide along the frictionless wooden track ABC shown in Fig. The block of mass m1=5.00kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2=10.0kg, initially at rest. The two blocks never touch. Calculate the maximum height to which m1 rises after the elastic collision

Solution 7

Question 8 Two objects are connected by a light string passing over a light 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 of the 3.00-kg object just as the 5.00-kg object hits the ground. (b) Find the maximum height to which the 3.00-kg object rises

Solution 8

Question 9 A force acting on a particle moving in the xyplane is given by Fx=2yi +x2j)N, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m and y=5.00m, as in Fig. Calculate the work done by F along (a) OAC, (b) OBC, (c) OC.(d) Is F conservative or nonconservative? Explain.

Solution 9

Solution 9

Solution 9