7. How do Newton’s laws of motion explain why it is important to keep the ice smooth on a hockey rink so that players can pass a
2 answers:
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The coefficient of sliding friction is 0.514
Explanation:
We start by writing the equations of motion of the elephant along the two directions, parallel and perpendicular, to the incline.
Along the parallel direction we have:
(1)
where :
F = 10,000 N is the force applied by Noah
is the component of the weight parallel to the incline, where:
m is the mass
g = 9.8 m/s^2 the acceleration of gravity
is the angle of incline
is the force of friction, where:
is the coefficient of friction
R is the normal reaction
and a is the acceleration
Perpendicular direction:
(2)
where is the component of the weight perpendicular to the incline
From (2) we find
And substituting into (1)
We know that the elephant moves at constant speed, so the acceleration is zero:
a = 0
So the equation becomes
And we can re-arrange it to find the coefficient of friction:
Learn more about friction and inclined planes:
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