![]() When the distance covered by the body is 5m, its kinetic energy would beįinal kinetic energy = Initial energy – work done against resistive force (Area between graph and displacement axis)įor More Physics formulas vist main page and do solve exercise of NCERT from Physics Wallah. The mass of the body is 25 kg and initial velocity is 2 m/s. Problem 3: The graph between the resistive force F acting on a body and the distance covered by the body is shown in the figure. Work done = Covered area on force-displacement graph = 1 × 10 + 1 × 20 -1 × 20 + 1 × 10 = 20 erg. The work done by the force in displacing a body from x – 1 cm to x – 5 cm is Problem 2: The relationship between force and position is shown in the figure given (in one dimensional case). ![]() Work done on the mass = mass × covered area between the graph and displacement axis on a-t graph. What is the total work done on the mass by the force as the mass moves from x = 0 to x = 8 cm Its acceleration as a function of its position is shown in the figure. Problem 1: A 10 kg mass moves along x-axis. W = Area under curve between x i and x f i.e Area under force displacement curve with proper algebraic sign represents work done by the force.ĭisplacement Equations for these Calculations:ĭifferent resources always use slightly different variables so you might also encounter this same equation with vi or v0 representing initial velocity (u) and vf representing final velocity (v) given below:Įxamples For Work Done Calculation by Force Displacement Graph The work done on the body in displacing it from position x t to x f will be qual to the sum of areas of all the such strips The work done will be the area of the shaded strip of width dx. Let be the average value of variable force within the interval dx from position x to (x +dx) i.e. ![]() Let a body, whose initial position is x t, is acted upon by a variable force (whose magnitude is changing continuously) and consequently the body acquires its final position x f. Work Done Calculation by Force Displacement Graph Formula For Work Done Calculation by Force Displacement Graph
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