A skateboarder of mass m rolls , starting from rest, down a ramp of height h at

Question

A skateboarder of mass m rolls , starting from rest, down a ramp of height h at the local skate park. Unfortunately another skater standing at the bottom of the ramp, who has mass 2m , didn’t get out of the way fast enough, causing the two skaters to collide. Assume that the ramp is frictionless .

a. If the two skateboarders become entangled and cannot separate , what is their speed after the collision? Give you answer in terms of the experimental variables and g .

b. Now consider the scenario if the collision between the skateboarders is perfectly elastic. What will be the maximum height that the first skateboarder (with mass m ) reaches as she travels ba ck up the ramp ? Give you answer in terms of experimental variables and g

Explanation / Answer

Ans :-

a ] conservation of energy

½ m1v1i^2 + m1gh = ½*m1 Vf^2 + ½ * m2 Vf^2

mgh = 3mVf^2

Vf = sqrt (gh /3)

b] ½ * m1Vi^2 = m1gh

½ *Vi^2 = gh

h = g*vi^2/2

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