Avertical spring stores 0.962 j in spring potential energy whena 3.5-kg mass is suspended from it.(a)by what multiplicative factordoes the spring potential energy change if the mass atttached tothe spring is doubled? (b)verify your answer to part (a)bycalculating the spring potential energy when a 7.0-kg mass isattached to the spring.

a) If the mass get double then the potential of the spring gets four times.

b)  P'=3.848 J

Explanation:

Given that

P= 0.962 J

m = 3.5 kg

m'= 7 kg

Lets take extension in the spring is x when the mass 3.5 kg is attached to the spring.

m g = K x

K=Spring constant

We know that potential energy given as

If the mass get double then the potential of the spring gets four times.

P'= 4 P

When mass ,m' = 7 kg

Then potential will be

 -----1

    -------2

From equation 1 and 2

P'= 4 x 0.962 J

P'=3.848 J