After the first snow of the year, you decide to go sledding. You find a hill that is 39 m high to slide down. After a couple trips, you want to go faster, so you rig up a bungee cord to give you a head startNat the top of the hill. The bungee cord can be treated as a spring with a spring constant of 160You have a mass of 90 kg and you compress your "spring" by a distance of 1.9 m before beginningyour ride. There is no friction at the top of the hill or on the hill.Bungee/springConservation of EnergyStraw-covered portionWhat is your speed at the top of the hill after you leave the "spring"?mVtop =What is your speed after sliding to the bottom of the hill?Vbottom =SAt the bottom of the hill, you reach a horizontal section where the ground is covered in straw. This straw adds friction to slow the sled down. The coefficient of kinetic friction between the ground and thesled is 0.68.How far do you slide along the straw until you come to a complete stop?d =

Answered: Image /qna-images/answer/bb6cb063-fc65-460a-94cb-f5f092ee4228.jpg

After the first snow of the year, you decide to go sledding. You find a hill that is 39 m high to slide down. After a couple trips, you want to go faster, so you rig up a bungee cord to give you a head start at the top of the hill. The bungee cord can be treated as a spring with a spring constant of 160 N. You have a mass of 90 kg and you compress your "spring" by a distance of 1.9 m before beginning your ride. There is no friction at the top of the hill or on the hillI. Bungee/spring Conservation of Energy Straw-covered portion What is your speed at the top of the hill after you leave the "spring"? m Vtop = What is your speed after sliding to the bottom of the hill?

After the first snow of the year, you decide to go sledding. You find a hill that is 39 m high to slide down. After a couple trips, you want to go faster, so you rig up a bungee cord to give you a head start at the top of the hill. The bungee cord can be treated as a spring with a spring constant of 160 N. You have a mass of 90 kg and you compress your "spring" by a distance of 1.9 m before beginning your ride. There is no friction at the top of the hill or on the hillI. Bungee/spring Conservation of Energy Straw-covered portion What is your speed at the top of the hill after you leave the "spring"? m Vtop = What is your speed after sliding to the bottom of the hill?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 71P

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A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69
Consider the blockspringsurface system in part (B) of Example 8.6. (a) Using an energy approach, find the position x of the block at which its speed is a maximum. (b) In the What If? section of this example, we explored the effects of an increased friction force of 10.0 N. At what position of the block docs its maximum speed occur in this situation?
The force acting on a panicle varies as shown in Figure la P7.14. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 8.00 m. (b) from x = 8.00 m to x = 10.0 m, and (c) from x = 0 to x = 10.0 m.
Calculate the elastic potential energy of a spring with spring constant k = 225 N/m that is (a) compressed and (b) stretched by 1.00 102 m.
The Flybar high-tech pogo stick is advertised as being capable of launching jumpers up to 6 ft. The ad says that the minimum weight of a jumper is 120 lb and the maximum weight is 250 lb. It also says that the pogo stick uses a patented system of elastometric rubber springs that provides up to 1200 lbs of thrust, something common helical spring sticks simply cannot achieve (rubber has 10 times the energy storing capability of steel). a. Use Figure P8.32 to estimate the maximum compression of the pogo sticks spring. Include the uncertainty in your estimate. b. What is the effective spring constant of the elastometric rubber springs? Comment on the claim that rubber has 10 times the energy-storing capability of steel. c. Check the ads claim that the maximum height a jumper can achieve is 6 ft.
In the Hunger Games movie (https://openstaxcollege.org/l/21HungGamesclip), Katniss Everdeen fires a 0.0200-kg arrow from ground level to pierce an apple up on a stage. The spring constant of the bow is 330 N/m and she pulls the arrow back a distance of 0.55 m. The apple on the stage is 5.00 m higher than the launching point of the arrow. At what speed does the arrow (a) leave the bow? (b) strike the apple?
A pogo stick has a spring with a force constant of 2.50104 N/m, which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.
A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. P7.79). The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point , the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The blocks speed at the bottom of the track is = 12.0 m/s, and the block experiences an average friction force of 7.00 N while sliding up the track. (a) What is x? (b) If the block were to reach the top of the track, what would be its speed at that point? (c) Does the block actually reach the top of the track, or does it fall off before reaching the top?
An a simple pendulum swings back and forth, the forces acting on the suspended object are (a) the gravitational force, (b) the tension in the supporting cord, and (c) air resistance, (i) Which of these forces, if any, does no work on the pendulum at any time? (ii) Which of these forces does negative work on the pendulum at all Limes during its motion?
A horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal surface as in Figure P7.55. (a) The block is pulled to a position xi = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position xi/2 = 3.00 cm? (d) Why isnt the answer to part (c) half the answer to part (b)? Figure P7.55
A block of mass m = 5.00 kg is released from point and slides on the frictionless track shown in Figure P7.6. Determine (a) the blocks speed at points and and (b) the net work done by the gravitational force on the block as it moves from point to point . Figure P7.6