- #1

Ritzycat

- 171

- 4

**Question statement**

A 55g ice cube can slide without friction up and down a 25∘slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10cm . The spring constant is 25N/m. When the ice cube is released, what distance will it travel up the slope before reversing direction?

**Relevant equations**

[itex]PE_s = PE_g[/itex]

[itex]PE_s = 1/2kx^2[/itex]

[itex]PE_g = mgh[/itex]

**Attempt at a solution**

Maximum height is when all energy is converted to gravitational potential energy (frictionless environment)

Thus,

[itex]PE_s = PE_g[/itex]

[itex]1/2kx^2 = mgh[/itex]

[itex]1/2(25N/m)(0.1m)^2 = (0.055kg)(9.8m/s^2)(h)[/itex]

[itex]h = 0.23m[/itex] or [itex] 23 cm[/itex]

(Answer is asked for in cm)

Not sure what I am doing wrong here...