Stephen R. answered • 05/08/16
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The acceleration is due only to gravity and is independent of the mass.
The gravity vector would be the hypotenuse of the vector triangle, and the acceleration down the hill would be the opposite side.
so the acceleration down the hill is simply:
opp = (hyp)(sin(adj))
opp = (9.8 m/s)(sin(15))
opp = 2.5 m/s
Stephen R.
To show the effect of friction on the motion you need to calculate force.
The force due to gravity is mass dependent and is equal to:
Fg = m ag where Fg = force due to gravuty, m = mass of object, and ag = acceleration due to gravity.
Fg = (73 kg)(2.5 m/s^2) substituting the value obtained above for the acceleration.
Fg = 182.5 kg.m/s^2 or 183 N
Ff = uN where Ff = force due to friction, u = coefficient of kinetic friction, and N is the normal force.
Ff = (0.15)(183 N) coefficient of friction is dimensionless and acts in the opposite direction of the applied force.
Ff = 27.4 N
Net Force = Fg - Ff
Net Force = 183 - 27.4
Net Force = 155.6 N
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05/09/16
Kylie H.
Thank you very much! It all makes sense now :)
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05/09/16
Kylie H.
05/09/16