Question
Please help me with the following questions. 1. Two forces, F11 and F22, act at a point. The magnitude of F11 is 9.00 NN, and
Please help me with the following questions.
1. Two forces, F11 and F22, act at a point. The magnitude of F11 is 9.00 NN, and its direction is an angle 65.0 above the negative direction of x-the axis in the second quadrant. The magnitude of F22 is 6.00 NN, and its direction is an angle 54.1 below the negative direction of x-the axis in the third quadrant.
Part A: What is the x-component of the resultant force? Express your answer in newtons.
Part B: What is the y-component of the resultant force? Express your answer in newtons.
Part C: What is the magnitude of the resultant force? Express your answer in newtons.
2. A hockey puck with a mass of 0.160 kg is at rest at the origin (x=0) on the horizontal, frictionless surface of the rink. At time t = 0 a player applies a force of 0.250 NN to the puck, parallel to the x-axis; he continues to apply this force until t = 2.00 ss.
Part A: What is the position of the puck at t = 2.00 ss? Express your answer in meters.
Part B: In this case what is the speed of the puck? Express your answer in meters per second.
Part C: If the same force is again applied at t = 5.00 ss, what is the position of the puck at t = 7.00 ss? Express your answer in meters.
Part D: In this case what is the speed of the puck? Express your answer in meters per second.
3. World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has a magnitude of 15 m/s2.
Part A: How much horizontal force must a 52 kg sprinter exert on the starting blocks to produce this acceleration? Express your answer with the appropriate units.
4. A chair of mass 11.5 kg is sitting on the horizontal floor; the floor is not frictionless. You push on the chair with a force F = 45.0 NN that is directed at an angle of 38.0 below the horizontal and the chair slides along the floor.
Part A: Use Newton's laws to calculate the normal force that the floor exerts on the chair. Express your answer in newtons.
5. Two blocks connected by a light horizontal rope sit at rest on a horizontal, frictionless surface. Block A has a mass of 17.0 kg, and block B has a mass m. A constant horizontal force F = 60.0 NN is applied to block A (Figure 1). In the first 5.00 ss after the force is applied, block A moves 18.0 mm to the right.
part A: While the blocks are moving, what is the tension T in the rope that connects the two blocks? Express your answer with the appropriate units.
6. A 75.0 kg wrecking ball hangs from a uniform, heavy-duty chain of mass of 20.0 kg.
Part A: Find the maximum tension in the chain. Express your answer with the appropriate units.
Part B: Find the minimum tension in the chain. Express your answer with the appropriate units.
Part C: What is the tension at a point three-fourths of the way up from the bottom of the chain? Express your answer with the appropriate units.
7. A load of bricks with mass m1 = 13.0 kg hangs from one end of a rope that passes over a small, frictionless pulley. A counterweight of mass m2 = 29.0 kg is suspended from the other end of the rope, as shown in (Figure 1). The system is released from rest.
Part A: If the coefficient of kinetic friction between tires and dry pavement is 0.800, what is the shortest distance in which an automobile can be stopped by locking the brakes when traveling at 30.0 m/s? Express your answer in meters.
Part B: On wet pavement, the coefficient of kinetic friction may be only 0.250. How fast should you drive on wet pavement in order to be able to stop at the same distance as in part A? (Note: Locking the brakes is not the safest way to stop.) Express your answer in meters per second.
8. A stone with a mass of 0.700 kg is attached to one end of a string 0.700 mm long. The string will break if its tension exceeds 50.0 NN. The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed.
Part A: Find the maximum speed the stone can attain without breaking the string. Express your answer in meters per second.
Part A: If the angle is kept equal to 00 as the block slides, what is the speed of the block when it reaches the bottom of the board? Express your answer with the appropriate units.
9. A 4.00 kg box sits at rest at the bottom of a ramp that is 9.00 mm long and is inclined at 30.0 above the horizontal. The coefficient of kinetic friction is k = 0.40, and the coefficient of static friction is s = 0.43.
Part A: What constant force F, applied parallel to the surface of the ramp, is required to push the box to the top of the ramp in a time of 6.00 ss? Express your answer to four significant figures and include the appropriate units.
10. Two blocks are suspended from opposite ends of a light rope that passes over a light, frictionless pulley. One block has mass m1 and the other has mass m2, where m2>m12>1. The two blocks are released from rest, and the block with mass m2 moves downward 6.00 mm in 2.00 ss after being released. While the blocks are moving, the tension in the rope is 17.0 NN.
Part A: Calculate m1.Express your answer with the appropriate units.
Part B: Calculate m2. Express your answer with the appropriate units.
11. A racetrack curve has a radius of 90.0 mm and is banked at an angle of 15.0 . The coefficient of static friction between the tires and the roadway is 0.400. A race car with mass 1200 kg rounds the curve with the maximum speed to avoid skidding.
Part A: As the car rounds the curve, what is the normal force exerted on it by the road? Express your answer with the appropriate units.
Part B: What is the car's radial acceleration? Express your answer with the appropriate units.
Part C: What is the car's speed? Express your answer with the appropriate units.
12. A box of mass 15.0 kg sits at rest on a horizontal surface. The coefficient of kinetic friction between the surface and the box is 0.300. The box is initially at rest, and then a constant force of magnitude F and direction 39.0 below the horizontal is applied to the box; the box slides along the surface.
Part A: What is F if the box has a speed of 6.00 m/sm/s after traveling a distance of 8.00 mm? Express your answer with the appropriate units.
Part B: What is FB if the surface is frictionless and all the other quantities are the same? Express your answer with the appropriate units.
Part C: What is FC if all the quantities are the same as in part AA but the force applied to the box is horizontal? Express your answer with the appropriate units.
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