You attach one end of a spring with a force constant to a wall and the other end

Question

You attach one end of a spring with a force constant

to a wall and the other end to a mass

and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position

from equilibrium and release it.

You attach one end of a spring with a force constant k = 893 N/m to a wall and the other end to a mass m = 2.92 kg and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position xi = 7.16 cm from equilibrium and release it. Determine the speed of the block as it passes through the equilibrium position. Determine the speed of the block when it is at a position xi/4.

Explanation / Answer

1/2*k*x^2=1/2*m*v^2

=2.92*v^2=893*0.0716^2

v=1.32 m/s

b.)1/2*k*x1^2-1/2*k*x2^2=1/2*m*v^2

2.92*v^2=893*0.0716^2-893*0.0179^2

v=1.21 m/s ans

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