A spring of spring constant 5 × 10 3 N m - 1 is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is

Question

A spring of spring constant 5 × 10 3 N m - 1 is stretched initially by 5 cm from the unstretched position. Then the work required to stretch it further by another 5 cm is, 12 . 50 N m, 18 . 75 N m, 25 N m, 6 . 25 N m

MARKS App · Accepted Answer

W 1 = 1 2 k x 1 2 = 1 × 5 2 × 10 3 × 5 × 10 - 2 2 = 6 . 25 J W 2 = 1 2 k x 1 + x 2 2 = 1 2 × 5 × 10 3 5 × 10 - 2 + 5 × 10 - 2 2 = 25 J Net work done = W 2 - W 1 = 25 - 6.25 = 18.75 J = 18.75 N m

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