Question

A 2.10 kgkg frictionless block is attached to an ideal spring with force constant 317 N/mN/m . Initially the block has velocity -4.00 m/sm/s and displacement 0.260 mm .

A.Find the amplitude of the motion.

B. Find the maximum acceleration of the block.

C. Find the maximum force the spring exerts on the block.

Answer 1

A.

Kinetic Energy of the block,

Potential energy stored in the spring when it is stretched by 0.26 mm,

Potential energy of the spring at amplitude A,

Kinetic energy at this point will be zero, because speed at maximum stretch (amplitude) is zero

Now, since there is no friction,

B. Maximum force on the block,

Maximum acceleration,

C. Maximum force,