Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 46P
(a)
To determine
ToCalculate: The un-stretched length of the string.
(b)
To determine
ToCalculate: The work needed to stretch the string.
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One end of a spring is attached to a fixed wall while a 0.31 kg block is attached to the other movable end. The spring is stretched 0.5 m horizontally, then released from rest. Calculate its speed when it goes back to equillibrium if thw spring's force constant is k=4 N/m.
A spring is mounted horizontally, with its left end held stationary. By attaching a spring balance to the free end and pulling toward the right, the stretching force is proportional to the displacement and that a force of 6.0 N causes a displacement of 0.030 m. We remove the spring balance and attach a 0.50-kg glider to the end, pull it a distance of 0.020 m along a frictionless air track, release it and watch it oscillate.
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One end of a spring is attached to a fixed wall while a 0.26-kg block is attached to the other movable end. The spring is stretched 0.5-m horizontally, then released from rest. Calculate its speed when it goes back to equilibrium if the spring's force constant is k = 4 N/m.
Chapter 12 Solutions
Physics for Scientists and Engineers
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- Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.arrow_forwardA spring 1.50 m long with force constant 475 N/m is hung from the ceiling of an elevator, and a block of mass 10.0 kg is attached to the bottom of the spring. (a) By how much is the spring stretched when the block is slowly lowered to its equilibrium point? (b) If the elevator subsequently accelerates upward at 2.00 m/s2, what is the position of the block, taking the equilibrium position found in part (a) as y = 0 and upwards as the positive y-direction. (c) If the elevator cable snaps during the acceleration, describe the subsequent motion of the block relative to the freely falling elevator. What is the amplitude of its motion?arrow_forwardUse the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.arrow_forward
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- A spring is stretched by a 100-N force. The displacement of the end of the spring increases 5.0.cm beyond its original stretched position when the force increases 20 percent to 120N. Calculate the force constant of the spring and its original displacement.arrow_forwardIn the figure below, the 2 kg block is released when espring has its equilibrium length. The spring constant is k = 100. If the inclined surface is frictionless, determine he m maximum elongation of the spring. 30° mHarrow_forward3. A block of mass m is attached to the end of a horizontal massless spring (spring con- stant k), resting on a frictionless table. The mass is then given an initial displacement xo from equilibrium, and an initial speed vo. Ignoring friction, use energy methods to find (a) its maximum speed, and (b) its maximum stretch from equilibrium, in terms of the given quantities.arrow_forward
- The small 0.25-kg slider is known to move from position A to position B along the vertical-plane slot. Determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. The distance R = 0.83 m, the spring modulus k = 157 N/m, and the unstretched length of the spring is 0.61 m. B R 3 Answers: 0 k A (a) Work done on the body by its weight: Ug (b) Work done on the body by the spring: Usarrow_forwardA pen contains a spring with a spring constant of 295 N/m. When the tip of the pen is in its retracted position, the spring is compressed 5.20 mm from its unstrained length. In order to push the tip out and lock it into its writing position, the spring must be compressed an additional 6.90 mm. How much work is done by the spring force to ready the pen for writing? Be sure to include the proper algebraic sign with your answer. Number i Unitsarrow_forwardA cart of mass 0.72 kg is attached to one end of of a spring and placed on a low-friction track, inclined at an angle of 56.0 degrees with respect to the horizontal. The cart is found to be in equilibrium when the spring is stretched to a total length of 44.8 cm. Given that the rest length for the spring is 12.8 cm, what is the spring constant for the spring?arrow_forward
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