527,896 views
18 votes
18 votes
Notice that all the initial spring potential energy was transformed into gravitational potential energy. If you compressed the spring to a distance of 0.200 mm , how far up the slope will an identical ice cube travel before reversing directions

User Flashburn
by
3.2k points

1 Answer

23 votes
23 votes

Answer:

The correct answer will bs "2.41 m".

Step-by-step explanation:

According to the question,

M = 50 g

or,

= 0.050 kg


\Theta = 25^(\circ)

k = 25.9 N/m

Δx = 0.200 m

Let the traveled distance be "x".

By using trigonometry, the height will be:


h = l Sin \Theta

hence,


Potential \ energy \ at \ the \ top=Spring \ potential \ energy


Mgh=(1)/(2) k(\Delta x)^2

By putting the values, we get


0.050* 9.8* lSin 25^(\circ)=(1)/(2)* 25.0* (0.200)^2


l=2.41 \ m

User Samuel Neugber
by
2.6k points