(9%) Problem 5: A block of mass m = 0.37 kg is set against a spring with a spring constant of k1= 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along africtionless surface, is another spring with a spring constant of k, = 139 N/m.yMww m©theexpertta.com> * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it?dz = 1.38|Grade SummaryDeductions0%Potential100%義sin()cos()tan()789HOMESubmissionsAttempts remaining: 9(0% per attempt)cotan()asin()acos()E↑^|^ 46atan()sinh()*acotan()123detailed viewcosh()tanh()cotanh()0%END1-O Degrees O RadiansVOBACKSPACEDELCLEARSubmitHintFeedbackI give up!Hints: 5% deduction per hint. Hints remaining: 1Feedback: 5% deduction per feedback.E A 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring?A 33% Part (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring onlycompresses a distance dɔ/2. How much energy, in joules, was lost to friction?A11 oontent e 2021

Answered: Image /qna-images/answer/b1dee2f8-f44b-4f55-b636-baa96f7d29fb.jpg

(9%) Problem 5: A block of mass m= 0.37 kg is set against a spring with a spring constant of k1 = 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k = 139 N/m. ©theexpertta.com D * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it? Grade Summary d = 1.38| Deductions 0% Potential 100% sin() cos() tan() 7 8 9 НОМE Submissions Attempts remaining: 9 (0% per attempt) cotan() asin() acos() E 1^ 4 5 6. atan() acotan() sinh() 1 3 detailed view cosh() tanh() cotanh() END 1 0% - O Degrees O Radians VOL BACKSPАСЕ DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring? A 33% Part (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring only compresses a distance dz/2. How much energy, in joules, was lost to friction? A11 content e2021 Eveect TTA IIC

(9%) Problem 5: A block of mass m= 0.37 kg is set against a spring with a spring constant of k1 = 591 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k = 139 N/m. ©theexpertta.com D * 33% Part (a) How far, d, in meters, will the second spring compress when the block runs into it? Grade Summary d = 1.38| Deductions 0% Potential 100% sin() cos() tan() 7 8 9 НОМE Submissions Attempts remaining: 9 (0% per attempt) cotan() asin() acos() E 1^ 4 5 6. atan() acotan() sinh() 1 3 detailed view cosh() tanh() cotanh() END 1 0% - O Degrees O Radians VOL BACKSPАСЕ DEL CLEAR Submit Hint Feedback I give up! Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 5% deduction per feedback. 33% Part (b) How fast, v in meters per second, will the block be moving when it strikes the second spring? A 33% Part (c) Now assume that the surface is rough (that is, not frictionless). You perform the experiment and observe that the second spring only compresses a distance dz/2. How much energy, in joules, was lost to friction? A11 content e2021 Eveect TTA IIC

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

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 7.67CP: Review. A light spring has unstressed length 15.5 cm. It is described by Hookes law with spring...

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A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?
Use 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.
A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15
Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
You attach a block to the bottom end of a spring hanging vertically. You slowly let the block move down and find that it hangs at rest with the spring stretched by 15.0 cm. Next, you lift the block back up to the initial position and release it from rest with the spring unstretched. What maximum distance does it move down? (a) 7.5 cm (b) 15.0 cm (c) 30.0 cm (d) 60.0 cm (e) The distance cannot be determined without knowing the mass and spring constant.
One type of toy car contains a spring that is compressed as the wheels are rolled backward along a surface. The spring remains compressed until the wheels are freed and the car is allowed to roll forward. Jose learns that if he rolls the car backward for a greater distance (up to a certain point), the car will go faster when he releases it. The spring compresses 1.00 cm for every 10.0 cm the car is rolled backward. a. Assuming the spring constant is 150.0 N/m, what is the elastic potential energy stored in the spring when Jose rolls the car backward 20.0 cm? b. What is the elastic potential energy stored in the spring when he rolls the car backward 30.0 cm? c. Explain the correlation between the results for parts (a) and (b) and Joses observations of different speeds.
A cafeteria tray dispenser supports a stack of trays on a shelf that hangs from four identical spiral springs under tension, one near each corner of the shelf. Each tray is rectangular, 45.3 cm by 35.6 cm. 0.450 cm thick, and with mass 580 g. (a) Demonstrate that the top tray in the stack can always be at the same height above the floor, however many trays are in the dispenser, (b) Find the spring constant each spring should have for the dispenser to function in this convenient way. (c) Is any piece of data unnecessary for this determination?
A vibration sensor, used in testing a washing machine, consists of a cube of aluminum 1.50 cm on edge mounted on one end of a strip of spring steel (like a hacksaw blade) that lies in a vertical plane. The strips mass is small compared with that of the cube, but the strips length is large compared with the size of the cube. The other end of the strip is clamped to the frame of the washing machine that is not operating. A horizontal force of 1.43 N applied to the cube is required to hold it 2.75 cm away from its equilibrium position. If it is released, what is its frequency of vibration?
A lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on a frictionless, horizontal table. The blockspring system is initially in the equilibrium configuration. A second block of mass m2 = 3.00 kg is then pushed against the first block, compressing the spring by x = 15.0 cm as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block m2 loses contact with the springblock 1 system when the blocks reach the equilibrium configuration of the spring (Fig. P16.77B). a. What is the subsequent speed of block 2? b. Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a). 77. (a) The energy of the system initially is entirely potential energy. E0=U0=12kymax2=12(225N/m)(0.150m)2=2.53J At the equilibrium position, the total energy is the total kinetic energy of both blocks: 12(m1+m2)v2=12(4.50kg+3.00kg)v2=(3.75kg)v2=2.53J Therefore, the speed of each block is v=2.53J3.75kg=0.822m/s (b) Once the second block loses contact, the first block is moving at the speed found in part (a) at the equilibrium position. The energy 01 this spring-block 1 system is conserved, so when it returns to the equilibrium position, it will be traveling at the same speed in the opposite direction, or v=0.822m/s. FIGURE P16.77
Review. This problem extends the reasoning of Problem 41 in Chapter 9. Two gliders are set in motion on an air track. Glider 1 has mass m1 = 0.240 kg and moves to the right with speed 0.740 m/s. It will have a rear-end collision with glider 2, of mass m2 = 0.360 kg, which initially moves to the right with speed 0.120 m/s. A light spring of force constant 45.0 N/m is attached to the back end of glider 2 as shown in Figure P9.41. When glider 1 touches the spring, superglue instantly and permanently makes it stick to its end of the spring. (a) Find the common speed the two gliders have when the spring is at maximum compression. (b) Find the maximum spring compression distance. The motion after the gliders become attached consists of a combination of (1) the constant-velocity motion of the center of mass of the two-glider system found in part (a) and (2) simple harmonic motion of the gliders relative to the center of mass. (c) Find the energy of the center-of-mass motion. (d) Find the energy of the oscillation.
Review. A light spring has unstressed length 15.5 cm. It is described by Hookes law with spring constant 4.30 N/m. One end of the horizontal spring is held on a fixed vertical axle, and the other end is attached to a puck of mass m that can mow without friction over a horizontal surface. The puck is set into motion in a circle with a period of 1.30 s. (a) Find the extension of the spring x as it depends on m. Evaluate x for (b) m = 0.070 0 kg. (c) m = 0.140 kg, (d) m = 0.180 kg, and (e) m = 0.190 kg. (f) Describe the pattern of variation of x as it depends on m.
A simple pendulum as shown in Fig. 4.24 oscillates back and forth. Use the letter designations in the figure to identify the pendulums position(s) for the following conditions. (There may be more than one answer. Consider the pendulum to be ideal with no energy losses.) (a) Position(s) of instantaneous rest ___ (b) Position(s) of maximum velocity ___ (c) Position(s) of maximum Ek ___ (d) Position(s) of maximum Ep ___ (e) Position(s) of minimum Ek ___ (f) Position(s) of minimum Ep ___ (g) Position(s) after which Ek increases ___ (h) Position(s) after which Ep increases ___ (i) Position(s) after which Ek decreases ___ (j) Position(s) after which Ep decreases ___ Figure 4.24 The Simple Pendulum and Energy