The coefficient of friction is 0.213
Explanation:
We start by writing the equation of the forces along the directions parallel and perpendicular to the incline. We have:
Perpendicular direction:
(1)
where
N is the normal reaction of the plane
is the component of the weight perpendicular to the plane, with
m is the mass
g = 9.8 m/s^2 the acceleration of gravity
is the angle of the incline
Parallel direction:
(2)
where
:
is the component of the weight parallel to the slope
is the force of friction, where
is the coefficient of friction
N is the normal reaction
a is the acceleration
In this case, the skier is moving at constant speed, so its acceleration is zero and the equation becomes:
(2)
From (1) we find
And substituting into (2)
Solving for ,
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Figure out which is less harmful and continue to make sure he makes careful decisions while doing so.
<h2>
Answer:</h2>
<em><u>48.189°</u></em>
<h2>
Explanation:</h2>
Let us say,
Radius of curvature of the clown's bald head is = R
Angle where the grape leaves the contact with the head is (with vertical) = θ
Height from the top of the head at which the contact is lost = y
Mass of the grape = m
Velocity of the grape at the point where it loses contact = v
So,
Using the <u>Conservation of Work and Energy,</u> we can say that there is 0 Work done on the system,
W = ΔK + ΔU
So,
Now, using this at the point where contact is lost,
At that point the <u>Normal force will be zero, because the contact is lost.</u>
So,
On putting, N = 0 we get,
<em><u>Therefore, the angle at which the grape lose contact with the bald head is at 48.189° from vertical.</u></em>