Suppose that a boat weighs 300 pounds and is on a ramp inclined at 30°. Represent the force due to gravity, F, using F= - 300j as shown in the figure to the right. a. Write a unit vector along the ramp in the upward direction. b. Find the vector projection of F onto the unit vector from part a. c. What is the magnitude of the vector projection in part b? What does this represent? ***** a. The unit vector along the ramp in the upward direction is u =. (Simplify your answer. Type your answer in terms of i and j. Use integers or fractions for any numbers in the expression. Rationalize all denominators. Type an exact answer, using radicals as needed b. proj,F = (Simplify your answer. Type your answer in terms of i and j. Rationalize all denominators. Type an exact answer, using radicals as needed.) c. The magnitude of vector projection proj, F is (Simplify your answer. Round to the nearest whole number as needed.) What does the magnitude of vector projection proj,,F represent? O A. It gives the force required to push the boat down the ramp. O B. It gives the force required to keep the boat from rolling down the ramp.

Suppose that a boat weighs 300 pounds and is on a ramp inclined at 30°. Represent the force due to gravity, F, using F= - 300j as shown in the figure to the right. a. Write a unit vector along the ramp in the upward direction. b. Find the vector projection of F onto the unit vector from part a. c. What is the magnitude of the vector projection in part b? What does this represent? ***** a. The unit vector along the ramp in the upward direction is u =. (Simplify your answer. Type your answer in terms of i and j. Use integers or fractions for any numbers in the expression. Rationalize all denominators. Type an exact answer, using radicals as needed b. proj,F = (Simplify your answer. Type your answer in terms of i and j. Rationalize all denominators. Type an exact answer, using radicals as needed.) c. The magnitude of vector projection proj, F is (Simplify your answer. Round to the nearest whole number as needed.) What does the magnitude of vector projection proj,,F represent? O A. It gives the force required to push the boat down the ramp. O B. It gives the force required to keep the boat from rolling down the ramp.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 54P

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