   Chapter 13, Problem 1P

Chapter
Section
Textbook Problem

A block, of mass m = 0.60 kg attached to a spring with force; constant 130 N/m is free to move on a frictionless, horizontal surface as in Figure P13.1. The block is released from rest alter the spring is stretched a distance A = 0.13 m. At that instant, find (a) the force on the block and (b) its acceleration. Figure P13.1

a)

To determine
The force on the block.

Explanation

Given info: The mass of the block is 0.60 Kg. The force constant of the spring is 130Nm-1 . The block is stretched to 0.13 m.

Explanation:

In simple harmonic motion the net force applied along the direction of motion follows Hook’s law:

F=kx

Here,

F is the restoring force on the block.

k is force constant of the spring.

x is the displacement of the spring.

Consider the right side as the positive direction. Substitute 130Nm-1 for k and 0

b)

To determine
The acceleration of the block.

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