(9%) Problem 7: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at thebottom that has a spring constant of 405 N/m (refer to the figure). The angle of the ramp with respectto the horizontal is 39°.Md©theexpertta.comP A 33% Part (a) The block, starting from rest, slides down the ramp a distance 45 cm before hitting the spring. How far, in centimeters, is the springcompressed as the block comes to momentary rest?Grade SummaryAx =Deductions0%Potential100%sin()cos()tan()789НОMESubmissionsAttempts remaining: 10(0% per attempt)detailed viewcotan()asin()acos()6atan()acotan()sinh()12cosh()tanh()cotanh()ENDO DegreesRadiansVOL BACKSPACEDELCLEARSubmitHintFeedbackI give up!Hints: 5% deduction per hint. Hints remaining: 3Feedback: 5% deduction per feedback.O A 33% Part (b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right afterit comes off the spring?O A 33% Part (c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and theposition of the block when the spring is fully compressed?

Draw the labeled diagram of the arrangement as shown in the figure.

(9%) Problem 7: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 405 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39°. M Otheexpertta.com P A 33% Part (a) The block, starting from rest, slides down the ramp a distance 45 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? Ar = Grade Summary Deductions 0% Dotentia1 100

(9%) Problem 7: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 405 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39°. M Otheexpertta.com P A 33% Part (a) The block, starting from rest, slides down the ramp a distance 45 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? Ar = Grade Summary Deductions 0% Dotentia1 100

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 8.65AP: A block of mass 0.500 kg is pushed against a horizon-tal spring of negligible mass until the spring...

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True or False: The elastic potential energy of a stretched or compressed spring is always positive.
Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).
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?
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.
A certain automobile engine delivers 2.24 104 W (30.0 hp) to its wheels when moving at a constant speed of 27.0 m/s ( 60 mi/h). What is the resistive force acting on the automobile at that speed?
At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?
Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle with the vertical (Fig. P7.81). Take D = 50.0 m, F = 110 N, L = 40.0 m, and = 50.0. (a) With what minimum speed must Jane begin her swing to just make it to the other side? (b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Assume Tarzan has a mass of 80.0 kg.
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?
Suppose you are jogging at constant velocity. Are you doing any work on the environment and vice versa?
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
A block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle = 25.0 below the horizontal as shown in Figure P5.8. Determine the work done by (a) the applied force, (b) the normal force exerted by the table, (c) the force of gravity, and (d) the net force on the block. Figure P5.8
A block of mass 0.500 kg is pushed against a horizon-tal spring of negligible mass until the spring is compressed a distance x (Fig. P8.65). 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 v = 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?