152k views
4 votes
A spring with a mass attached to it is stretched from the rest position of 20 cm to the position of 87 cm. If the spring constant of this spring is 1729 N/m, what is the potential energy stored in this spring?

561.29 J
120.97 J
388.07 J
254.79 J

User Entendu
by
5.5k points

2 Answers

2 votes

Answer:

C) 388.07

Step-by-step explanation:

It is a spring therefore, there must be Elastic potential energy. Now what is the formula for elastic potential energy? It is 1/2 *k *x^2

K=spring constant

x= displacement

1/2=.5 (hate fractions)

Now, Displacement simply means (how much was it moved?) So, that means subtract.

87-20= 67 x=67

Next, do x^2 (so you don't make a mistake by squaring everything :) )

67*67=4,489

NOW, do....

.5*1729*4,489=3,880,740.5

Now convert to Joules, I just did 3,880,740.5 / 10^3 = 3880.745

round to 3880.7 J

~There you go loves !

4 votes

Answer:

388.07 J

Step-by-step explanation:

User Svakili
by
6.0k points