Question

amax= 1 Value Units A 160 g block attached to a spring with spring constant 2.2 N/m cm/s when zo =-6.0 cm Part C What is the block's position when the acceleration is maximum? Express your answer to two significant figures and include the appropriate units. Value Units Submit Request Answer Part D What is the speed of the block when 1 2.9 em? Express your answer to two significant figures and include the appropriate units. oValueUnits

Answer 1

Part C

We know that the accelration is maximum at the extreme posiiton, that is at the amplitude of the motion.

Now, we know that total energy in any SHM is constant.

So,

$\frac{0.16*0.17^{2}}{2}+\frac{2.2*0.06^{2}}{2}=\frac{2.2*A^{2}}{2}$

A=0.0755 cm or 7.55cm

Part D

Again making energy conservation,

$\frac{0.16*v^{2}}{2}+\frac{2.2*0.029^{2}}{2}=\frac{2.2*0.0755^{2}}{2}$

v=25.85 cm/s