A spring whose spring constant = 450 N/m and whose natural length is 0.5 m is...

 

Transcribed Image Text:

A spring whose spring constant = 450 N/m and whose natural length is 0.5 m is placed on a frictionless horizontal surface with its left end fixed. The x=0 is set at the spring's natural length. A 3.6 kg block is attached to the right end of the spring. The block is pulled to x = 0.20 m and released from rest. (a) (3 pts) After being released at x = 0.20 m, how much time does it take the block to reach x=0 for the first time? Natural length 0.5 m wwwwwwwwwwwww -3 x=-0.20m O x= 0.20m x=0 (b) (6 pts) Find the block's speed when the spring's length is 0.4 m. (3 pts) Find the block's maximum speed. (1 pt) At what position x does the maximum speed occur? 3 A spring whose spring constant = 450 N/m and whose natural length is 0.5 m is placed on a frictionless horizontal surface with its left end fixed. The x=0 is set at the spring's natural length. A 3.6 kg block is attached to the right end of the spring. The block is pulled to x = 0.20 m and released from rest. (a) (3 pts) After being released at x = 0.20 m, how much time does it take the block to reach x=0 for the first time? Natural length 0.5 m wwwwwwwwwwwww -3 x=-0.20m O x= 0.20m x=0 (b) (6 pts) Find the block's speed when the spring's length is 0.4 m. (3 pts) Find the block's maximum speed. (1 pt) At what position x does the maximum speed occur? 3