Question

A child's toy consists of a spherical object of mass 50 gg attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the oscillation is 6 cmcm and the maximum velocity achieved by the toy is 3.2 m/sm/s . What is the kinetic energy KKK of the toy when the spring is compressed 4.4 cmcm from its equilibrium position

Answer 1

Step-by-step explanation:

amplitude of oscillation A = .06 m .

maximum velocity = ω A where ω is angular frequency .

ω A = 3.2 m/s ( Given )

ω x .06 = 3.2

ω = 53.33 rad /s .

velocity when the displacement is x can be given by the expression

v² = ω²( A² - x² )

x = .04 m

v² = 53.33²( .06² - .04² )

= 2844.1( .0036 - .0016 )

= 5.688

kinetic energy = 1/2 m v²

= .5 x .050 x 5.688

= .1422 J .

=