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Figure shows a smooth curved track termi...

Figure shows a smooth curved track terminating in a smooth horizontal part. A spring of sprng constant 400 N/m is asttached at one end ot a wedge fixed rigidly with the horizontal part. A 40 g mas is released from rest at a height of 4.9 m n the curved track. Find the maximumcompression of the spring.

Text Solution

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At the instant of maximum compressin the speed of the 40 g mass reduces to zero. Taking the gravitatioN/Al potential energy to be zero at the horizontal part the conservation of energy shows,
`mgh=1/2kx^2`
where m=0.04 k, h=4.9 m, k=400 N/m and x is the maximum compression.
Thus, `x=(sqrt(2mgh))/k`
`=(sqrt(2xx(0.04kg)xx(9.8m/s^2)xx(4.9m)/((400N/m)))`
`9.8cm`
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