The work done by gravity and normal force on the skier.
Answer to Problem 16P
The work done by gravity on the skier is
Explanation of Solution
Write the expression for work done.
Here,
Write the expression for force.
Here, m is the mass and g is the acceleration due to gravity.
Replace F by mg in the expression for
The angle force and displacement is,
Conclusion:
Substitute 75 kg for m, 32.0 m for x,
Normal force is perpendicular to the direction of motion. Hence, value of
Therefore, work done by gravity on the skier is
The work done by friction on the skier.
Answer to Problem 16P
The work done by friction on the skier is
Explanation of Solution
Write the expression to find the total work done.
Here,
The total work done accounts for the change in kinetic energy. The initial kinetic energy of the skier is zero.
Substitute equation (I) in expression to find the work done by friction on the skier.
Conclusion:
Substitute
The
Answer to Problem 16P
The force of friction is
Explanation of Solution
Write the expression to find the force of friction.
Conclusion:
Substitute
The coefficient of kinetic friction.
Answer to Problem 16P
The coefficient of kinetic friction is
Explanation of Solution
The diagram for skier.
Write the expression to find total force in y-direction.
Here,
Write the expression to find the frictional force.
Here,
Re-arrange the expression to find the coefficient of kinetic friction.
Substitute equation (II) in the expression to find the coefficient of kinetic friction.
Conclusion:
Substitute
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