The green collar slides from point 1 to point 2. If the spring constant is 3 lb/in and the unstretched length of the spring is 4 in, a) What is the work done by the spring on the collar? b) What is the magnitude of the force of the spring on the collar at point 2?
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- A 2kg package is moves up along a 10 m ramp AC inclined at 15' with an initial speed of 5 m/s. Knowing that the coefficient of sliding friction between the package and the incline is 0.2, answer the following questions: 10 m B 15° d 1. What force/s do/does NOT do any work on the package as it moves along the incline? 2. What is the work done by friction on the package as it moves a distance x along the incline? 3. What is the change in the kinetic energy from A to B if at position the package becomes zero? 4. What is the change in the potential energy from A to B if at position B the velocity of the package 5. What is the maximum distance that the package will move up the incline?A woman places a 2 kg block against a horizontal spring of force constant K = 300 N/m and compresses it 9 cm. a) Find the work done by the woman and the work done by the spring.b) The block is released and leaves the spring when the spring is at its original position. Find the speed of the block when it leaves the spring.As a segment of an workout regiment to toughen their pectoral muscles, a man stretches a spring which has a spring constant k=605N/m. a) If x=0 corresponds to when the springs are at their relaxed state, which image best represents the magnitude of the force applied to the springs as a function of the stretch distance (see image). b) Write an equation for the work necessary to stretch the spring from the relaxed state to a distance x1. c) Calculate the work, in joules, required to stretch the spring from its relaxed state to the position x1=59.7cm d) Write an equation for the work necessary to stretch the spring from the position x1 to position x2. e) Calculate the work, in joules, required to stretch the spring from x1=59.7cm to x2=96.8cm.
- F A 2.3 kg block is moved at constant speed over a surface for which the coefficient of kinetic friction is 0.26. The displacement is 6 m. It is pushed by a force directed at 34 degrees below the horizontal as shown in the figure above. Find the work done on the block by: a) the force; a) friction; a) gravity.Kepler’s laws of planetary motion can be derived from Newton’s laws of motion and Newton’s universal law of gravitation. Since gravity is a conservative force, mechanical energy is conserved throughout a planet’s orbit. a) Is the gravitational potential energy of the planet-Sun system greater at perihelion (the point of closest approach to the Sun) or aphelion (the point of farthest approach from the Sun)? b) Is the kinetic energy of the planet-Sun system greater at perihelion or aphelion? c) Is your answer consistent with Kepler’s second law of planetary motion? Justify your answers.Suppose that a certain spring has spring constant k = 0.08 N/m (that’s Newtons per meter). How much work must be done to stretch the spring by 0.5 m past its equilibrium point? Your answer will end up in units of N*m .
- A 1200 kg roller coaster car starts at point A, then travels 165 ft at 40.0° below the horizontal to point B. (a) Taking point B to be the level where the gravitational potential energy of the car-Earth system is zero, what is the potential energy (in J) of the system when the car is at points A and B, and the change in potential energy (in J) as the coaster moves between these points? at point A at point B change in potential energy J (b) Repeat part (a), setting the zero configuration with the car at point A. at point A J at point B J change in potential energy JYou pull a wagon across a floor with a force of 25 N over a distance of 30 meters.The handle of the wagon you are pulling on has an angle of 35 degrees above the horizontal.a) How much work do you do on the wagon?You now let your wagon roll down a frictionless slope from rest. The height of the slope is 5 meters, and the angle of the slope with the horizontal is 10 degrees. Assume the mass of the wagon is 10 kg.b) What is the final velocity of the suitcase (hint: use the work-energy theorem).A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?
- A 0.32-kg particle has a speed of 5.0 m/s at point A and kinetic energy of 8.1 J at point B. (a) What is its kinetic energy at A? (b) What is its speed at point B? m/s (c) What is the total work done on the particle as it moves from A to B?Wile E Coyote (below) has a mass of 12.5 kg and compresses a spring with spring constant 150 N/m by 0.90 m before he stops touching the floor and hence is shot out by the spring. a) What is the potential energy stored in the spring at maximum compression? b) What is the speed of the Wile E Coyote right after the spring returns to its uncompressed position? c) What is the work done by the spring on Wile E Coyote?A shopper weighs 2.00 kg of apples on a supermarket scale whose spring obeys Hooke's law and notes that the spring stretches a distance of 2.50 cm. (a) What will the spring's extension be if 6.00 kg of oranges are weighed instead? cm(b) What is the total amount of work that the shopper must do to stretch this spring a total distance of 6.00 cm beyond its relaxed position? J