Problem 10: A simple pendulum with mass, m=1 kg and length, L=2.0 m is released by a push when the support string is at an angle of 45° from the vertical direction. The initial speed of the suspended mass at the release point is 3.0 m/s. (a) The maximum angle that pendulum moves in the second half of its swing is (b) The mechanical energy of pendulum (measured relative to its lowest point) is

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?

A pendulum of mass 90 gm and length 60 cm is left to swing from an initial angle of 40 degrees, and seen to raise up to an angle of 38 degrees when it reaches the other side. How much energy did the pendulum lose? Why is there a loss of energy?

A 0.220-kg block resting on a frictionless, horizontal surface is attached to a spring having force constant 83.8 N/m as in the figure below. A horizontal force F causes the spring to stretch at a distance of 5.49 cm from its equilibrium position.   (a) Find the value of F. (Enter the magnitude of the force only.) N(b) What is the total energy stored in the system when the spring is stretched? J(c) Find the magnitude of the acceleration of the block immediately after the applied force is removed. m/s2(d) Find the speed of the block when it first reaches the equilibrium position. m/s(e) If the surface is not frictionless but the block still reaches the equilibrium position, how would your answer to part (d) change? The block would arrive at a greater speed. The block would arrive at a lower speed.     The block would arrive at the same speed. (f) What other information would you need to know to find the actual answer to part (d) in this case?