The work required to stretch a given spring by a distance d is W. (a) Find the w
ID: 1535995 • Letter: T
Question
The work required to stretch a given spring by a distance d is W. (a) Find the work required to stretch the spring by an additional distance 3d. (b) Find the work required to compress the spring by a distance d/4. The work required to stretch a given spring by a distance d is 2W. (a) Find the work required to stretch the spring by an additional distance 2d. (b) Find the work required (starting from the relaxed position) to compress the spring by a distance d/2. The force acting on an object (mass = 5 kg) changes with position as shown in the figure. Find the work done by the force in moving the object from (a) x =0 to x = 4 m (b) x = 4 m to x = 6 m (c) x = 6 m to x = 10 m (d) x - 10 m to x = 12 m (e) If the object was at rest at x = 0, what is its speed at x = 12 m? For the following segments find if the acceleration of the object is (i) positive and constant (ii) negative and constant (iii) zero (iv) positive and increasing (v) negative and increasing (vi) positive and decreasing (vii) negative and decreasing (f) When moving from x = 0 to 2 m. (g) When moving from x = 2m to 4m. (h) When moving from x = 4m to 6m. (i) When moving from x = 6m to 8m.Explanation / Answer
a] Here W = 0.5 kd^2
Wrequired = 0.5 k [4d]^2 - 0.5 kd^2 = 16W-W = 15 W answer
b] Wrequired = 0.5 k * [ d/4]^2 = W/16 answer
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