1. A 4-kg mass is launched with zero initial velocity on a frictionless circular

Question

1. 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, uk=0.3). It then travels up a frictionless slope.

a. Given the speed at point 1 find the height H from which the mass was released

b. Find the acceleration of the system as it travels from point 1 to 2

c. Find the kinetic energy of the system at point 2

d. Find the maximum height reached by the mass up the slope

e. Find the distance up the slope corresponding to the maximum height

Explanation / Answer

a)from conservation of energy, velocity at 1
mgh=0.5mv^2
h=20.41m
b)retarding force=mg

accleration=f/m=0.3*9.8=-2.94..... - because body is retarding

c) change in K.E=work done

K.E2-K.E1=F.S

K.E2=mgs+0.5mv2=958

d) change in energy=work done

0-958=-mgh

h=24.438

e)L'sin30=h

L'=48.877m

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