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Ex_energy - Potential energy(1(2(3(4(5 A conservative force...

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Potential energy (1) A conservative force is a force producing work that is independent of the body’s path of motion. (2) Any conservative force has a corresponding potential energy, and vice versa: c F U 0.6 m 0.9 m (3) Definition of potential energy: Fc U W Δ = − (4) Potential energy is associated with position of the body. (5) Gravitational potential energy: U g = mgy where y is the vertical position of the body measured from an arbitrary reference with + y axis upward. (6) Elastic potential energy: 2 1 2 e U kx = where x = l l 0 is the deformation in spring. Energy equation 1 1 1 1 2 2 2 2 2 2 1 2 1 2 1 2 g e g e g e nc k F K U U W K U U K m U mgy U kx W W N s W υ μ + + + = + + = = = = = − + Example 1. A linear spring with an unstretched length of 0.5 m is fixed at O and attached to the slider. The 2 Kg slider is released from rest at A and moves up the smooth rod as shown. Determine the spring constant k if the slider strikes B with 5 m/s velocity. ( Ans : 57.4 N/m) 0.8 m A B O
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2. The 2 Kg block has an initial speed of 6 m/s at the bottom of the ramp. It slides up the incline and then hits the
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