Help Force Question: Acceleration of Ice Slope w/o Friction

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The discussion focuses on calculating the acceleration of a 1.5 kg chunk of ice sliding down a frictionless roof at a 60-degree angle. The acceleration is determined to be 8.49 m/s² using the equation f=ma, where the net force is derived from gravitational force components. It is established that mass does not affect acceleration in this scenario because the friction is zero, allowing the mass to cancel out in the equations. The net force acting down the ramp is expressed as Fnet = mgsin(60), reinforcing that the acceleration remains constant regardless of mass. Overall, the analysis confirms that in a frictionless environment, the mass of the object does not influence its acceleration.
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Homework Statement



A 1.5 kg chunk of ice slides down a roof sloped at a 60 degree angle with the horizontal.

a) Find the acceleration given that there is no friction.

b) Show that the amount of mass doesn't matter in part a.

Homework Equations



f=ma

The Attempt at a Solution



9.8*1.5(sin60)=fg

a= f/m
a=12.73/1.5
a=8.49 m/s/s.

i couldn't get part b?!
 
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Mass doesn't matter because there is no friction to stop it from sliding. So it could be any mass and continue to slide.
 
Since force friction is 0 and force normal cancels with the force going into the ramp, the force going down the ramp is your Fnet.

Fnet = mgsin(60)
ma = m(9.8)sin(60)
mass on each side cancels out.
a = (9.8)sin(60)
a = 8.49
 
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