please i need the answers 1) A block weighs 15 N and is suspended from a spring

Question

please i need the answers 1) A block weighs 15 N and is suspended from a spring that isattached to the ceiling. The spring stretches by 0.075 m from itsunstrained length. By how much does the spring stretch when a 36-Nblock is suspended from it? 2) An object in simple harmonic motion has an amplitude of0.236 m and an oscillation period of 0.620 s. Determine the maximumspeed of the motion. please i need the answers 1) A block weighs 15 N and is suspended from a spring that isattached to the ceiling. The spring stretches by 0.075 m from itsunstrained length. By how much does the spring stretch when a 36-Nblock is suspended from it? 2) An object in simple harmonic motion has an amplitude of0.236 m and an oscillation period of 0.620 s. Determine the maximumspeed of the motion.

Explanation / Answer

F=K*x 15=K*0.075     K=200 N/m     F=K*x      36=200*x         x=0.18m   [Ans.] 2> y=A*sin(t)      Differentiating wrt time,     v=A*cos(t)     Now cos function has max value=1      v(max)=A       Now =2*f                  =2**1/0.620=10.134 sec^-1             v(max)=0.236*10.134=2.392 m/s    [Ans.]

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