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Consider a spring that exerts the following restoring force array ll F=-k x & for x 0 F=-4 k x & for x 0 array A mass m on a frictionless surface is attached to the spring displaced to x=A by stretching the spring and released :

Options

  1. AThe period of motion will be T = 3 2 m k
  2. Bthe most negative value the mass m can reach will be x =- A 2
  3. CThe time taken to move from x = A to x =- A 2 , straight away will be equal to 5 8 m k
  4. DThe total energy of oscillations will be 5 2 k A^2

Correct answer

B. the most negative value the mass m can reach will be x =- A 2

Step-by-step solution

For (A) : T= T₁ 2 + T₂ 2 = m k + m 4 k = 3 2 m k For (B) 1 2 k(A)^2= 1 2 4 k(x)^2 For (C) : Not possible [x= -A 2 ] For (D): TE = 1 2 k A^2

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