What happens to the total mechanical energy as the pendulum oscillates? Discuss what happens to the gravitational potential energy and the kinetic energy

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

The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C, and the block oscillates between the points A and E with no friction from the floor. As the block moves from C to E, which of the following statements is true? Select all apply.       the spring potential energy decreases     the block's kinetic energy stays the same     the block's kinetic energy increases     the spring potential energy increases     the spring potential energy stays the same     the block's kinetic energy decreases

QUESTION 3 This, the length of the pendulum is 1.03 m. Now you start with the pendulum at 28.7 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 47.8 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?   A 2.04 m/s   B 2.58 m/s   C 1.58 m/s   D 3.61 m/s

A 78-g object connected to a spring with a force constant of 39 N/m ocillates with an amplitude of 7 cm on a frictionless, horizontal surface. Find the total energy of the system. (answer should be in 3 decimal places)

A block attached to a horizontal spring that has a spring constant of 18 N/m oscillates between x = - 0.68 m and x = 0.68 m on a frictionless surface as shown. What is the kinetic energy of the block when its position is at x = 0, in Joules?

A spring with spring constant 20 N/m is compressed a distance of 5.5 cm by a ball with a mass of 208.5 g (see figure below). The ball is then released and rolls without slipping along a horizontal surface, leaving the spring at point A. The process is repeated, using a block instead, with a mass identical to that of the ball. The block compresses the spring by 5.5 cm and is also released, leaving the spring at point A. Each object travels up the incline shown in the figure before coming to rest momentarily. Assume the ball rolls, but ignore other effects of friction. (Assume the ball rolls without slipping up the incline until it comes to rest.)   (a) How high above the starting position is the ball when it comes to rest momentarily? m (b) How high above the starting position is the block when it comes to rest momentarily? m

How much elastic potential energy will a linear spring have if it has a spring constant of 440.5 N/m and a stretch of 1.0?

Problem 1. Energy Terms Determine the potential energy of the pendulum shown below. Note: The potential en- ergy should be 0 when 0 = 0, mgL when 0=1, and 2mgL when 0 = 1. /////// 8 m Q Search 99+ H

A block attached to a horizontal spring that has a spring constant of 20 N/m oscillates between x = - 0.63 m and x = 0.63 m on a frictionless surface as shown. What is the kinetic energy of the block when its position is at x = 0, in Joules?  Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.