Question

In: Physics

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on...

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -4.6 cm .

A. What is the amplitude of oscillation?

B. What is the block's maximum acceleration?

C. What is the block's position when the acceleration is maximum?

D. What is the speed of the block when x1 = 3.2 cm ?

Solutions

Expert Solution

Mass of block

Spring constant

At the given point ,

velocity of block is

Total energy of the system, when block is at is

A)

When block is at maximum displacement ( maximum displacement =amplitude =A) ,

Total energy of system is

B) Block's maximum acceleration

Magnitude of maximum acceleration is

C)The block will have maximum acceleration at its maximum dislacement (+A or -A), so it is at

D) At

Total energy


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