Answer to Question #280071 in Mechanics | Relativity for john

Question

You attach a 2.50 kg block to a horizorsal spring that is fixed at one end. You pull the block until the spring is stretched by

0.400 m and release it from rest. Assume the block sides on a horizontal surface with negligible friction The block reaches a

speed of zero again 0.400 s after release (for the first time after release). What is the maximum speed of the block (in m/s)?

Answer 1

$v_{max}=A\omega$

$\omega=2\pi/T$

we have:

$T=2\cdot 0.4=0.8$ s

$A=0.4$ m

then:

$v_{max}=0.4\pi/0.4=3.14$ m/s