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Difficult: Block sliding up moving ramp
A block of mass m with initial velocity of v_{0} slides up up a ramp of angle [tex]\theta[/tex] and mass M that is not pinned to the ground. It doesn't reach the top before sliding back down. What is the highest point that the block reaches in terms on [tex]\theta[/tex], v_{0}, and m. There is no friction between any surfaces.
[tex]p = mv[/tex]
[tex]J=Ft[/tex]
[tex]E_i=E_f[/tex]
[tex]E_i=E_f[/tex]
[tex].5mv_0^2=.5Mv_r^2+mgh[/tex]
[tex]p_i=p_f+J[/tex]
[tex]mv_0= Mv_r+Ft[/tex]<at top height
[tex]F=mg+mgcos\theta[/tex]<from standard block on ramp problems
Is this correct?
Homework Statement
A block of mass m with initial velocity of v_{0} slides up up a ramp of angle [tex]\theta[/tex] and mass M that is not pinned to the ground. It doesn't reach the top before sliding back down. What is the highest point that the block reaches in terms on [tex]\theta[/tex], v_{0}, and m. There is no friction between any surfaces.
Homework Equations
[tex]p = mv[/tex]
[tex]J=Ft[/tex]
[tex]E_i=E_f[/tex]
The Attempt at a Solution
[tex]E_i=E_f[/tex]
[tex].5mv_0^2=.5Mv_r^2+mgh[/tex]
[tex]p_i=p_f+J[/tex]
[tex]mv_0= Mv_r+Ft[/tex]<at top height
[tex]F=mg+mgcos\theta[/tex]<from standard block on ramp problems
Is this correct?
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