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homework 03 – KHALEEFOH, FAHAD – Due: Feb 18 2017, 11:00 pm (Central time) 1

Question 1, chap 3, sect 4.

part 1 of 2 10 points

A vector representing 120 N is oriented at 41◦ with the horizontal. What is the magnitude of its horizontal

component? Answer in units of N.

Question 2, chap 3, sect 4.

part 2 of 2 10 points

What is the magnitude of its vertical com- ponent? Answer in units of N.

Question 3, chap 3, sect 4.

part 1 of 2 10 points

A truck travels 1170 m uphill along a road that makes a constant angle of 5.05◦ with the horizontal. Find the magnitude of the truck’s horizon-

tal component of displacement. Answer in units of m.

Question 4, chap 3, sect 4.

part 2 of 2 10 points

Find the magnitude of the truck’s vertical component of displacement. Answer in units of m.

Question 5, chap 3, sect 6.

part 1 of 3 10 points

A particle starts from the origin at t = 0 with an initial velocity having an x component of 15.7 m/s and a y component of −23.9 m/s. The particle moves in the xy plane with an x component of acceleration only, given by 2.88 m/s2. Determine the x component of velocity af-

ter 2.14 s. Answer in units of m/s.

Question 6, chap 3, sect 6.

part 2 of 3 10 points

Find the speed of the particle after 2.14 s. Answer in units of m/s.

Question 7, chap 3, sect 6.

part 3 of 3 10 points

Find the magnitude of the displacement vector of the particle after t = 2.14 s. Answer in units of m.

Question 8, chap 3, sect 7.

part 1 of 2 10 points

Vector ~A is 2.06 units long and points in the positive y direction. Vector ~B has a neg- ative x component 6.83 units long, a positive y component 2.1 units long, and no z compo- nent. Find ~A · ~B.

Answer in units of units2.

Question 9, chap 3, sect 7.

part 2 of 2 10 points

What is the angle between ~A and ~B? Answer in units of ◦.

Question 10, chap 3, sect 8.

part 1 of 2 10 points

Given: Two vectors

~A = Ax ı̂ + Ay ̂

and ~B = Bx ı̂ + By ̂ ,

where Ax = −5, Ay = 1, Bx = 2, and By = 1.

Find the z component of ~A × ~B.

Question 11, chap 3, sect 8.

part 2 of 2 10 points

Find the angle between ~A and ~B. Answer in units of ◦.

Question 12, chap 3, sect 8.

part 1 of 1 10 points

Given: Two vectors

~A = Ax ı̂ + Ay ̂

homework 03 – KHALEEFOH, FAHAD – Due: Feb 18 2017, 11:00 pm (Central time) 2

and ~B = Bx ı̂ + By ̂ ,

where Ax = −5, Ay = 6.3, Bx = 2, and By = 6.

Find the z component of ~A × ~B.

1. −47.8

2. −17.4

3. 27.8

4. −42.6

Question 13, chap 3, sect 4.

part 1 of 3 10 points

The weight of a ball rolling down an inclined plane can be broken into two vector compo- nents: one acting parallel to the plane, and the other acting perpendicular to the plane. At what angle of inclination of the plane

are these two components equal? Answer in units of ◦.

Question 14, chap 3, sect 4.

part 2 of 3 10 points

At what angle of inclination of the plane will the parallel component be equal to zero? Answer in units of ◦.

Question 15, chap 3, sect 4.

part 3 of 3 10 points

At what angle of inclination of the plane will the parallel component be equal to the weight? Answer in units of ◦.

Question 16, chap 3, sect 8.

part 1 of 1 10 points

Given: Two vectors

~A = Ax ı̂ + Ay ̂

and ~B = Bx ı̂ + By ̂ ,

where Ax = −5, Ay = 1, Bx = 2, and By = 1.

Find the z component of ~A × ~B.

Question 17, chap 3, sect 7.

part 1 of 2 10 points

A ship is expecting to travel to its home port 530 km due East. Before the ship starts to travel, a severe storm comes up and blows the ship 360 km due South. How far is the ship from its home port?

Answer in units of km.

Question 18, chap 3, sect 7.

part 2 of 2 10 points

Consider: East to be 0◦ and North 90◦. At what angle North of East must the ship

travel to reach its destination? Answer in units of ◦.

Question 19, chap 3, sect 7.

part 1 of 2 10 points

A camel sets out to cross the desert, which is 20.2 km wide in the north-south direc- tion. The camel walks at the uniform speed 3.54 km/hr along a straight line in the di- rection 37.6◦ north of East (only the camel knows why he chose that particular direction).

θ

W E

N

S How long will it take the camel to cross the

desert? Answer in units of hr.

Question 20, chap 3, sect 7.

part 2 of 2 10 points

Calculate the camel’s eastward displace- ment while he crosses the desert. Answer in units of km.

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