3 The extension, y, of a material with an applied force, F, is given by y = eFx1x10-3 %3D a) Calculate the work done if the force increases from 100N to 500N using: i) An analytical integration technique ii) A numerical integration technique [Note: the work done is given by the area under the curve] b) Compare the two answers c) Using a computer spreadsheet increase the number of values used for your numerical method
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- Q1 An object with a mass 100 kg decrease in kinetic energy of 500 ki and an increase in potential energy of 1500 kJ. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 m/s and 30 m, respectively. Determine (a) the final velocity, in m/s. (b) the final elevation, in mQUESTION 8 Consider the four possible paths of a body moving through gravity as diagrammed below. Which of the following statements is true? Projectile A a. The work done by gravity is greatest for path B. b. The work done by gravity is greatest for path C. c. The work done by gravity is greatest for path D. d. The work done by gravity is the same for all four paths. e. The work done by gravity is greatest for path A.Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.90m, object 2 has mass 1.46m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic 2 expression. Each algebraic expression is given using some 3 combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23) U g,system mgd
- 5 of 18 A 4500 kg spacecraft is in a circular orbit 1500 km above the I Review I Constants surface of Mars (mM = 6.42 x 1023 kg, RM = 3.39 x 10 m). Part A How much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4500 km above the surface? Express your answer with the appropriate units. HẢ ? w - 1.49 • 1010 J %3D Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback Next > MacBook Air esc 80 DII DD F1 F2 F3 F4 FS F6 F7 FB F9 F10 F11 F12 @ # $ & * 1 2 3 4 7 9. delete Q W E R T Y 一 P3821 1
- 3) The meaning of the word "WORK" is quite different in physics from its everyday usage. Give an example of an action a person could do that "feels like work" but that does not involve any work as we've defined in this chapter. Support your reasoning with equations/data.(Figure 1) is the force-versus-position graph for a particle moving along the x-axis. Figure Fx (N) 4 2 0 -2 -4 1 2 3 -x (m) ▼ Part A Determine the work done on the particle during the interval 0-1 m. Express your answer with the appropriate units. Wo-1 = Units You have already submitted this answer. Enter a new answer. No credit lost. Try again. Submit Part B ΠΑ W1-2 = Submit Value Previous Answers Request Answer Determine the work done on the particle during the interval 1-2 m. Express your answer with the appropriate units. μA Value Units ? www Previous Answers Request Answer ? Units input for part BPart A Find the component of force along the line connecting the two atoms, F;(r), on one atom as a function of r. The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r12 –b/r°, where r is the spacing between atoms and a and b are positive Express your answer in terms of the variables a, b, and r. constants, F,(r) = Submit Request Answer Part B Find the equilibrium distance between the two atoms. Express your answer in terms of the variables a and b. Eνα ΑΣφ ? Tmin = Submit Request Answer Part C Is this equilibrium stable? O yes O no Submit Request Answer
- m. m A mass m, = 4.1 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m, = 3 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.83 m. 1) How much work is done by gravity on the two block system? 2) How much work is done by the normal force on m,? 3) What is the final speed of the two blocks? 4) How much work is done by tension on m,? 5) What is the tension in the string as the block falls? 6) The work done by tension on only m, is: O posítive zero negative(Figure 1) Figure Energy (J) 4 ·321012 <10/1 K₁ + U₁ + W K₂ + U₁ + AE Part A How much work is done by the environment in the process shown in the figure? Express your answer with the appropriate units. We Submit Part B Submit Value Provide Feedback 4 Request Answer Is energy transfered from the environment to the system or from the system to the environment? O Energy is transferred trom the environment to the system O Energy is transferred from the system to the environment Units Request Answer ?Part A A typical muscle fiber is 2.0 cm long and has a cross-section area of 3.1 x 10- m2. VWhen the muscle fiber is stimulated, it pulls with a force of 1.1 mN. What is the work done by the muscle fiber as it contracts to a length of 1.5 cm? Express your answer with the appropriate units. W = Value J Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback