A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 44.8 J and a maximum displacement from equilibrium of 0.211 m. g) Suppose the same system is released from rest at x = 0.211 m on a rough surface so that it loses 16.2 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?

:) A spring with a constant k = 100 N/m is placed after point-C in the frictionless ABC path. A ball of mass of 2 kg is initially at rest and released from point A. The ball travels through the ABC path and finally hits the spring. a) What is the velocity of the ball at point B and C? b) What is the maximum compression in the spring? 22 kg 1.8 m 0.45 m g=9.8 m/s?

2. A simple pendulum is suspended from the ceiling by means of a string of length of 1.82 m, Assume that there is no friction or air resistance.Suppose you were to release the pendulum from rest, starting from an angle of 42.9 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 12.9 degrees above the vertical?     0.95 m/s     4.64 m/s     2.94 m/s     3.09 m/s

A massless spring of spring constant k = 4307 N/m is connected to a mass m = 105 kg at rest on a horizontal, frictionless surface. Part (a) The mass is displaced from equilibrium by A = 0.81 m along the spring's axis. How much potential energy, in joules, is stored in the spring as a result? Part (b) When the mass is released from rest at the displacement A= 0.81 m, how much time, in seconds, is required for it to reach its maximum kinetic energy for the first time? Part (c) The typical amount of energy released when burning one barrel of crude oil is called the barrel of oil equivalent (BOE) and is equal to 1 |BOE = 6.1178362 GJ. Calculate the number, N, of springs with spring constant k = 4307 N/m displaced to A = 0.81 m you would need to store 1 BOE of potential energy. Part (d) Imagine that the N springs from part (c) are released from rest simultaneously. If the potential energy stored in the springs is fully converted to kinetic energy and thereby "released" when the attached…

Current Attempt in Progress A 0.34 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 670 N/m) whose other end is fixed. The ladle has a kinetic energy of 310 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.27 m and the ladle is moving away from the equilibrium position? (a) Number i (b) Number i Units Units

A block of mass 2.00 kg is placed against a horizontal spring of constant k = 765 N/m and pushed so the spring compresses by 0.0650 m. HINT (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring. m/s

A cart attached to a spring on a table is displaced from equilibrium and then released. A graph of displacement as a function of time for the cart is shown. There is no friction. The spring's equilibrium position is at zero displacement. Select the best response in each of the four statements below using the drop down menus. Partial credit is enabled in this problem. + Displacement, cm 4 В G 10 12 4 16 Time, s -2 - (i) The spring potential energy is at a maximum value at points choose your answer.. . (ii) The cart's kinetic energy is at a maximum value at points choose your answer... (iii) The total energy of the system is choose your answer... (iv) The velocity of the cart is negative at points choose your answer...

1. A simple pendulum is suspended from the ceiling by means of a string of length 1.14 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 58.2 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)?      2.28 m/s      3.25 m/s      3.43 m/s      4.73 m/s

A horizontal spring attached to a wall has a force constant of k = 830 N/m. A block of mass m = 1.40 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. wiwwwww. x= 0 x = x;/2 x= X; (a) The block is pulled to a position x; = 6.60 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.60 cm from equilibrium. 2.91*10**- >X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J (b) Find the speed of the block as it passes through the equilibrium position. 6.45 Your response differs from the correct answer by more than 100%. m/s (c) What is the speed of the block when it is at a position x/2 3.30 cm? 5.58 Your response differs from the correct answer by more than 100%. m/s

A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A hitting the spring. 40.0⁰ 1.50 m B 1.00 m 1 k = 900 N/m wwwww Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?