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In the system as shown, mass of the block is 1 kg and spring constant is 25 N/m. The maximum kinetic energy of the block is 50 J. Which of the following statements is Incorrect?

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The amplitude of oscillation is 2 m

At half of the amplitude, the kinetic energy is 37.5 J

At half of the amplitude, potential energy of the spring is 12.5 J

At half of the amplitude, potential energy of the spring is 20 J

answer is D.

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Detailed Solution

ω = (K / m) 1 / 2 = 5 rad / sec

K E max = 12 (1) ω 2 A 2 = 12 25 A 2 = 50 J or A = 2 m

U A / 2 = 12 K x 2 = 12 (25) (1) = 12.5 J

V A / 2 = ω A 2 − x 2 1 / 2 = 53

K A / 2 = 12 m v 2 = 12 (1) (53) 2 = 37.5 J

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