Question 278: Work, Energy and Power & Circular Motion

Question

A 0.5 kg block moving at a speed of 12 ms
$-$1
compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _______________ Nm
$-$1
.

Accepted Answer

${1 \over 2}m\,{V^2} = {1 \over 2}k{x^2} + {1 \over 2}m{\left( {{v \over 2}} ight)^2}$
$ \Rightarrow {3 \over 8}m{v^2} = {1 \over 2}k{x^2}$
$ \Rightarrow k = {3 \over 4} 	imes {1 \over 2} 	imes {{144} \over 9} 	imes 100$
$ = 600$
$ \Rightarrow 600$

Work, Energy and Power & Circular Motion

A 0.5 kg block moving at a speed of 12 ms -1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _______________ Nm -1 .

Integer / Numeric Answer Type