Question

Two objects are launched from a spring oriented vertically. They are each compressed by amount x. Object A is launched from a spring with spring constant k and object B with a spring with spring constant 2k. Object B will reach a higher maximum height than object A.

true or false?

Answer 1

The hight reached will depend upon the elastic energy stored in the spring.

Energy stored in spring

$U= \frac{1}{2}kx^2$

Where k is the spring constant.

k_B = 2 k_A  

_{​​​​​}U_B = 2 U _A

statement is true.

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