If the spring constant is doubled, what value does the period have for a mass on a spring?
a. the period would double by square `sqrt(2)`.
b. the period would be halved by `sqrt(2)`.
c. the period would increase by `sqrt(2)`.
d. the period would decrease by `sqrt(2)`.

, explain your answer.

The period would decrease by `sqrt(2)`.

Explanation:

The angular frequency omega of an oscillating mass m due to a spring with a constant k is given by

(this is obtained by solving the differential equation )

If k doubles, i.e., k'=2k, then

Since the angular frequency is , we can say that

and so it becomes clear that the period T will decrease by sqrt(2) as stated in choice (D).

according to jean piaget, in what stage of cognitive development are children able to understand conservation task?

b. preoperational

just took it