- #1

TheShapeOfTime

A 2.0 kg mass is pressed against a spring (k = 800N/m) such that the spring has been compressed 0.22 m. The spring is released and the mass moves along a horizontal frictionless surface and up a frictionless slope. Calculate:

a) the maximum elastic potential energy of the spring

b) the maximum velocity of the mass

c) the maximum vertical height the mass will travel up the slope

This is what I've done so far (I'm not sure if it's correct):

[tex]E_p spring = \frac{1}{2}kx^2[/tex]

[tex]= \frac{1}{2} \cdot 800 \cdot 0.22^2[/tex]

[tex]= 19.36J[/tex]

[tex]E_p spring = E_k mass[/tex]

[tex]\frac{1}{2}kx^2 = \frac{1}{2}mv^2[/tex]

[tex]v = 4.4m/s^2[/tex]

Few notation questions:

What is the appropriate notation for [itex]E_p spring[/itex]?

Is it ok to use "[itex]\cdot[/itex]" in place of the regular multiplication sign whereever?

a) the maximum elastic potential energy of the spring

b) the maximum velocity of the mass

c) the maximum vertical height the mass will travel up the slope

This is what I've done so far (I'm not sure if it's correct):

[tex]E_p spring = \frac{1}{2}kx^2[/tex]

[tex]= \frac{1}{2} \cdot 800 \cdot 0.22^2[/tex]

[tex]= 19.36J[/tex]

[tex]E_p spring = E_k mass[/tex]

[tex]\frac{1}{2}kx^2 = \frac{1}{2}mv^2[/tex]

[tex]v = 4.4m/s^2[/tex]

Few notation questions:

What is the appropriate notation for [itex]E_p spring[/itex]?

Is it ok to use "[itex]\cdot[/itex]" in place of the regular multiplication sign whereever?

Last edited by a moderator: