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art Three: Vector Applications cart with a force of 18 lbs. exerted at an angle

ID: 2912431 • Letter: A

Question

art Three: Vector Applications cart with a force of 18 lbs. exerted at an angle of 45° to the floor. Write the force vector in component form. An athlete stretches his Achilles tendon by extending one leg behind him with his against the wall with a force of 120 N at an angle of 20o from the horizontal. Write the force vector Fin component form. Round the components to the nearest tenth of a Newton. Taken from page 740 #80 text for picture.) 12. heel on the floor and pushing See 13. Find the amount of work done if an object is pushed horizontally 70 m by a force of 25 N directed 60° above the horizontal. (Taken from page 754 #74.) 14. The components of n (4,2) represent the numbers of tacos and drinks, respectively, that a restaurant patron had for lunch. The components of c-(120,90) represent the number of calories per taco and number of calories per drink, respectively. Find n c and interpret the result.

Explanation / Answer

11) force = 18lbs

angle = 45 degrees

force vector

Fx = 18 cos 45

= 18 * sqrt 2 / 2 = 9 sqrt 2

Fy = 18 sin 45

= 18 sqrt 2 /2 = 9 sqrt 2

force vector = 9 sqrt 2 i + 9 sqrt 2 j