A metal puck of mass 3.0 kg slides down a curved trackstarting 4 m above ground.

Question

A metal puck of mass 3.0 kg slides down a curved trackstarting 4 m above ground. Puck is on right side of track andhas initial velocity of vi. Work done by friction while onramp is -30J. Upon leaving runway puck is straveling straightup and reaches maximum height of 5 m above ground before fallingback down. Neglect air resistance Find velociy of puck as it leaves runway Find total energy of puck while on ramp Find initial velociy of puck If ramp was frictionless, what maximum height would puck reachafter it left ramp? A metal puck of mass 3.0 kg slides down a curved trackstarting 4 m above ground. Puck is on right side of track andhas initial velocity of vi. Work done by friction while onramp is -30J. Upon leaving runway puck is straveling straightup and reaches maximum height of 5 m above ground before fallingback down. Neglect air resistance Find velociy of puck as it leaves runway Find total energy of puck while on ramp Find initial velociy of puck If ramp was frictionless, what maximum height would puck reachafter it left ramp?

Explanation / Answer

We divide the question into two parts 1.coming down from curved track 2.Reaching maximum height We start from second as it can reach only 5m above the ground it means that itvelocity becomes zero at that point.As only gravitation force isacting conversation of energy (assuming it's velocity is v1) as v*v = 2*g*h which gives v as 10 m/s(while running away) Then applying conversation of energy from high point to this pointgives potential energy +kinetic energy at top+work done by friction =kinetic energy at bottom 4*3*10+0.5*3*v*v-30 =0.5*3*100 90+1.5*v*v =150 v*v =40 which v as 6.324 m/s (Intial velocity of ramp) total energy on ramp =4*3*10+1.5*40=180J The extra height caused by non-friction surface is                                                              3*10*h=30 which gives h=1m total height if there is no friction is6m

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