A 2.40 k g frictionless block is attached to an ideal spring with force constant
ID: 2244356 • Letter: A
Question
A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N Part A Find the amplitude of the motion. A = m Part A Find the amplitude of the motion. A = m A = m A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part B Find the maximum acceleration of the block. |amax| = m/s2 |amax| = m/s2 |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = N Part C Find the maximum force the spring exerts on the block. |Fmax| = N |Fmax| = N |Fmax| = N A 2.40kg frictionless block is attached to an ideal spring with force constant 314N/m . Initially the block has velocity -3.70m/s and displacement 0.270m . Part A Find the amplitude of the motion. A = m Part B Find the maximum acceleration of the block. |amax| = m/s2 Part C Find the maximum force the spring exerts on the block. |Fmax| = NExplanation / Answer
a)let the amplitude be A.
so conserving energy,
0.5*314*0.27^2+0.5*2.4*3.7^2=0.5*314*A^2
or A=0.421 m
b) a max=w^2A
=(314/2.4)*0.421
=55.08 m/s^2
c)F max=m*amax
=55.08*2.4
=132.194 N
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