Thanks! A 4-kg mass is launched with zero initial velocity on a frictionless cir

Question

Thanks!

A 4-kg mass is launched with zero initial velocity on a frictionless circular track. The speed of the mass at point 1 is 20 m/s. The mass than travels along a rough horizontal surface between points 1 and 2 (L=4 m, mu k=0.3). It then travels up a frictionless slope. Given the speed at point 1 find the height H from which the mass was released Find the acceleration of the system as it travels from point 1 to 2 Find the kinetic energy of the system at point 2 Find the maximum height reached by the mass up the slope Find the distance up the slope corresponding to the maximum height

Explanation / Answer

a)Conserving energy,

0.mv2=mgH

H=v2/2g=20.4m

b)F=N

a=N/m=0.3*4*9.8/4=2.94m/s2

c)Conserving energy,

0.5mv2=mgL+0.5mv22

v2=19.4m/s

d)Conserving energy,

0.5mv22=mgh

h=19.2m

e)d=h/sin=38.4m

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