Question

An ice cube of mass 50.0 gg can slide without friction up and down a 25.0 degreedegree slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 0.100 mm . The spring constant is 25.0 N/mN/m . When the ice cube is released, how far will it travel up the slope before reversing direction?

Part D- Identify the initial and final gravitational potential energies.
Enter your answers, separated by a comma, in terms of some or all of the variables m, k, x, d, θ, and the acceleration due to gravity, g.

Part E- Identify the initial and final elastic potential energies.
Enter your answers, separated by a comma, in terms of some or all of the variables m, k, x, d, θ, and the acceleration due to gravity, g.

Answer 1

For the right angled triangle,

Sin = h/d

h = d Sin.

Now,

Initial gravitational potential,

G_i = 0 j

Final gravitation potential,

G_f = mgh

= mgdsin.

Initial elastic potential energy,

S_i = 1/2 kx²

Initial elastic potential energy,

S_f = 0

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