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A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^
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A: Given: The arbitrary vectors are A→ and B→. The magnitude of the vectors is R.
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A: Given : The polar coordinates of point Q are (15.0 m, 165°) That is, r = 15 m θ = 165°
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A: GIVEN: D= 2.5i^-4j^+k^
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- Two forces are acting on a 5.0-kg object that moves with acceleration 2.0m/s2 in the positive y -direction. If one of the forces acts in the positive x -direction and has magnitude of 12 N, what is the magnitude of the other?As shown below, if M=5.50kg , what is the tension in string 1?Check Your Understanding A block of mass 1.0 kg rests on a horizontal surface. The frictional coefficients for the block and surface are s=0.50and k=0.40 . (a) What is the minimum horizontal force required to move the block? (b) What is the block’s acceleration when this force is applied?
- Calculate the maximum acceleration of a car that is heading up a 4.00slope (one that makes an angle of 4.00with the horizontal) under the following road conditions. Assume that only half the weight of the car is supported by the two drive wheels and that the coefficient of static friction is involved—that is, the tires are not allowed to slip during the acceleration. (Ignore rolling.) (a) On wet concrete. (b) On wet concrete. (C) On ice, assuming that s=0.100 , the same as for shoes on ice.As shown below, the coefficient of kinetic friction between the surface and the larger block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.30. lf F=10Nand M=1.0kg , what is the tension in the connecting string?While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch. Andrea’s force is due north with a magnitude of 130.0 N and Jennifer’s force is 32 east of north with a magnitude of 180.0 N. (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer’s housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined forceFDS should they push so that the couch does not move?
- Find the tension in each of the three cables supporting the traffic light if it weighsTwo blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The coefficient of kinetic friction between the blocks and the surface is 0.25. If each block has an acceleration of 2.0m/s2to the right, what is the magnitude Fof the applied force?Consider the 52.0-kg mountain climber in Figure 5.22. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. (b) What is the minimum coefficient of friction between her shoes and the cliff? Figure 5.22 Part of the climber's weight is supported by her rope and part by friction between her feet and the rock face.
- Two teenagers are pulling on ropes attached to a tree. The angle between the ropes is 30 . David pulls with a force of 400.0 N and Stephanie pulls with a force of 300.0 N. (a) Find the component form of the net force. (b) Find the magnitude of the resultant (net) force on the tree and the angle it makes with David’s rope.Consider the 52.0-kg mountain climber shown below. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. (b) What is the minimum coefficient of friction between her shoes and the cliff?Consider the 56.0 kg mountain climber in the figure. 31° Flegs 15° (a) Find the tension in the rope (in N) and the force that the mountain climber must exert with her feet (in N) on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope N N force on feet (b) What is the minimum coefficient of friction between her shoes and the cliff?