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A daredevil wishes to bungee-jump from a hot-air balloon 65.0 m above a carnival midway. He will use a piece of uniform elastic cord lied to a harness around his body to stop his fall at a point 10.0 m above the ground. Model his body as a particle and the cord as having negligible mass and a tension force described by Hooke's force law. In a preliminary test, hanging at rest from a 5.00-m length of the cord, the jumper finds that his body weight stretches it by 1.50 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon. (a) What length of cord should he use? (b) What maximum acceleration will he experience?
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Chapter 5 Solutions
Bundle: College Physics, Loose-Leaf Version, 10th, + WebAssign Printed Access Card for Serway/Vuille's College Physics, 10th Edition, Multi-Term
- Physics students do an expriment to determine the coefficient of kinetic friction between a wooden object and the horizontal table it is on. This object has a mass of 1.6 kg. The students push it against a spring, which compresses the spring by 18cm. When released, the spring sends the object moving across the table and it stops 82 cm from where it was released. The spring constant is 200 N/m. Find the obeject-table coefficient of kinetic friction.arrow_forwardA worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/sarrow_forwardA 2.0- kg box is moving at constant speed of 2.0m/s on a frictionless horizontal floor. You apply a horizontal force with a magnitude of 4.0N to make it stop. How long should you apply this force?arrow_forward
- Bank robbers have pushed a 1000 kg safe to a third-story floor-toceiling window. They plan to break the window and lower the safe 10.0 m to their truck. Not being too clever, they stack up 500 kg of furniture, tie a rope between the safe and the furniture, and place the rope over a pulley. Then they push the safe out of the window. The coefficient of kinetic friction between the furniture and the floor is 0.5. The rope would break if the force on it exceeds 5000 N. a) Does the rope break? b) What is the acceleration of the safe? c) What is the safe’s speed when it hits the truck?arrow_forwardA 83.57 kg person jumps on the ground from a height of 1.95 m. If he lands stiffly (with his knee joints compressing by 0.500 cm). Calculate the force on the knee joint.arrow_forwardA warehouse worker is pushing a 90.0 kg crate with a horizontal force of 300 N at a speed of v = 0.850 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.360. m (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude Have you drawn a force diagram and identified all forces acting on the crate? N direction --Select-- X Have you drawn a force diagram and identified all forces acting on the crate? (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. Can you write an expression for the net work done on the crate in terms of the net force acting on the crate? J (c) Find the speed of the crate when it reaches the end of the rough surface. Can you develop an expression for the final speed of the crate in terms of its initial…arrow_forward
- An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height B above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 7.0g when brought to rest. Let A be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 7.0garrow_forwardWe are going to create a model for the forces acting when climbing with mass 'm' while falling on a rope. To simplify the problem, we will assume that there is no external or internal friction on the rope, and that there is no slack in the rope when the climber falls a height 'h/2' above the last belay, as shown in Figure. The rope has a length 'L' (in meters) when the fall occurs. All movement in the model is vertical (along the y-axis), and we will assume that the positive direction is downward. In part (a), the climber is in free fall until the rope starts to catch the fall. Set up the model for free fall and derive the expression for the velocity v0 that the climber has when the rope starts to slow down the fall. You can assume that the climber's speed is only a function of 'y' such that dy/dt = v(y)⟹ d²v/dt² = v * dv/dyarrow_forwardTo measure the static friction coefficient between a 1.6-kg block and a vertical wall. A spring (spring constant = 510 N/m) is attached to a block. Someone pushes on the end of he spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.039 m, what is the coefficient of static friction?arrow_forward
- As shown, a light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m1, a 3.50-kg block originally at rest on the horizontal table at a height h = 1.20 m above the floor, to m2, a hanging 1.90-kg block originally a distance d = 0.900 m above the floor. Neither the surface of the table nor its edge exerts a force of kinetic friction. The blocks start to move from rest. The sliding block m1 is projected horizontally after reaching the edge of the table. The hanging block m2 stops without bouncing when it strikes the floor. Consider the two blocks plus the Earth as the system. (a) Find the speed at which m1 leaves the edge of the table. (b) Find the impact speed of m1 on the floor. (c) What is the shortest length of the string so that it does not go taut while m1 is in flight? (d) Is the energy of the system when it is released from rest equal to the energy of the system just before m1 strikes the ground? (e) Why or…arrow_forwardYou're standing at the top of a snow-covered hill, sloped at 20.0°. The coefficient of kinetic friction between your sled and the hill is 0.534. Unfortunately, there's a running stream just at the bottom of the hill, and you don't want to get wet. If you and your sled together have a mass of 87.0 kg, with what speed should you push off with to stop just before the stream, 77.0 m down the slope?arrow_forwardA high jumper with a body weight of 820 N exerts an average vertical force of 1640 N down on the floor for 0.75 s. The average vertical force exerted on the jumper by the floor is:arrow_forward
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