# A 55.0 g object connected to a spring with a force constant of 30.0 N/m oscillates on a...

## Question:

A 55.0 g object connected to a spring with a force constant of 30.0 N/m oscillates on a horizontal, frictionless surface with an amplitude of 5.00 cm.

(a) Find the total energy of the system.

(b) Find the speed of the object when its position is 1.20 cm.

(c) Find the kinetic energy when its position is 2.50 cm.

(d) Find the potential energy when its position is 2.50 cm.

## Simple Harmonic Motion:

Simple harmonic motion is a periodic motion in which an object oscillates to and fro about equilibrium position. The force acting on the object is directly proportional to the displacement of object from equilibrium position. A mass attached with a spring follows Hooke's law and performs SHM motion.

## Answer and Explanation:

Equation of motion of an object performing simple harmonic motion is given by as following.

{eq}y = A sin (\omega t + \phi) {/eq}

Where,

• A =...

See full answer below.

Become a Study.com member to unlock this answer! Create your account 