(a) Explanation Newton’s second law. F → net = m a → Given information : The mass of the skier is 65 kg. The angle of the slope is 32 ° Calculation: Show the free body diagram of forces as shown in Figure 1. Here, n → is normal force exerted by the slope and w → is weight. Determine the net force using the formula. F → net = m a → (1) Determine the net force by applying equation of equilibrium in horizontal and vertical direction. m a → = n sin θ i ^ + [ n cos ( θ ) − w ] j ^ (2) The skier does not accelerate in the normal force direction, therefore the forces in the direction should cancel. Express the normal force as follows: n = w cos θ Express the weight ( w ) as follows: w = m g Substitute w cos θ for n and mg for w in Equation (2). a → = ( w cos θ ) sin θ i ^ + [ ( w cos θ ) cos ( θ ) − m g ] j ^ = [ w cos θ sin θ ] i ^ + [ w cos θ cos θ − m g ] j = [ m g cos θ sin θ ] i ^ + [ m g cos 2 θ − m g ] j = [ g cos θ sin θ ] i ^ + [ g cos 2 θ − g ] j (3) Find the acceleration of a skier. Substitute 9.8 m / s 2 for g , and 32 ° for θ in Equation (3). a → = [ 9 (b) To determine To find : The force exerted by snow on the skier.

Essential University Physics (3rd Edition)

3rd Edition

ISBN: 9780134202709

Author: Richard Wolfson

Publisher: PEARSON

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Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

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Chapter 5, Problem 34P

(a)

To determine

To find: The acceleration of a skier.

(b)

To determine

To find: The force exerted by snow on the skier.

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Chapter 5, Problem 33E

Chapter 5, Problem 35P

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Essential University Physics (3rd Edition)

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The acceleration of a skier.

Solution Summary: The author explains the acceleration of a skier using Newton's second law.

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To find: The acceleration of a skier.

To find: The force exerted by snow on the skier.

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Chapter 5 Solutions