In this problem, we are dealing with the simple harmonic motion of horizontal springs. This problem also incorporates concepts from Hooke's law such as spring force.

**1.**

The block experiences spring force.

Hooke's law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{k}}{\mathbf{x}}}$

A block with mass m 5.3 kg is attached to two springs with spring constants k_{left} = 33 N/m and k_{right} = 49 N/m. The block is pulled a distance x = 0.27 m to the left of its equilibrium position and released from rest.

1. What is the magnitude of the net force on the block (the moment it is released)?

2. What is the effective spring constant of the two springs?

3. How long does it take the block to return to equilibrium for the first time?

4. What is the magnitude of the acceleration of the block as it passes through equilibrium?

5. Where is the block located, relative to equilibrium, at a time 1.09 s after it is released? (if the block is left of equilibrium give the answer as a negative value; if the block is right of equilibrium give the answer as a positive value)

6. What is the net force on the block at this time 1.09 s? (a negative force is to the left; a positive force is to the right)

7. What is the total energy stored in the system?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Simple Harmonic Motion (Horizontal Springs) concept. You can view video lessons to learn Intro to Simple Harmonic Motion (Horizontal Springs). Or if you need more Intro to Simple Harmonic Motion (Horizontal Springs) practice, you can also practice Intro to Simple Harmonic Motion (Horizontal Springs) practice problems.