HW2_PHY131 - 1. (a) The height is h = d sin, where d = 12.5...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
1 . (a) The height is h = d sin θ , where d = 12.5 m and = 20.0°. Therefore, h = 4.28 m. (b) The horizontal distance is d cos = 11.7 m.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 . (a) With r = 15 m and θ = 30°, the x component of G r is given by r x = r cos = (15 m) cos 30° = 13 m. (b) Similarly, the y component is given by r y = r sin = (15 m) sin 30° = 7.5 m.
Background image of page 2
. (a) ˆˆ ˆ ˆ (3.0i 4.0 j) m (5.0i 2.0 j) m (8.0 m)i (2.0 m) j. ab += + + = + G G (b) The magnitude of G G + is 22 | | (8.0 m) (2.0 m) 8.2 m. + = G G (c) The angle between this vector and the + x axis is tan –1 [(2.0 m)/(8.0 m)] = 14°. (d) ˆ ˆ (5.0i 2.0 j) m (3.0i 4.0 j) m (2.0 m)i (6.0 m)j. ba −= + = G G (e) The magnitude of the difference vector G G is | | (2.0 m) ( 6.0 m) 6.3 m. +− = G G (f) The angle between this vector and the + x axis is tan -1 [( –6.0 m)/(2.0 m)] = –72°. The vector is 72° clockwise from the axis defined by ˆ i .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4. The x, y and z components of rcd =+ G GG are, respectively, (a) 7.4 m 4.4 m 12 m xx x =+ = + = , (b) 3.8 m 2.0 m 5.8 m yyy = = , and (c) 6.1 m 3.3 m 2.8 m. zzz = + =
Background image of page 4
11 216.5 m tan tan 36 . 300 m y x r r −− §· == ° ¨¸ ©¹ The direction is 36 ° north of due east. (c) The total distance walked is d = 250 m + 175 m = 425 m. (d) The total distance walked is greater than the magnitude of the resultant displacement. The diagram shows why: G A and G B are not collinear. 5 . The diagram shows the displacement vectors for the two segments of her walk, labeled G A and G B , and the total (“final”) displacement vector, labeled G r . We take east to be the + x direction and north to be the + y direction. We observe that the angle between G A and the x axis is 60°. Where the units are not explicitly shown, the distances are understood to be in meters. Thus, the components of G A are A x = 250 cos60° = 125 and A y = 250 sin60° = 216.5. The components of
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/18/2008 for the course PHYS 131 taught by Professor Reay during the Spring '08 term at Ohio State.

Page1 / 10

HW2_PHY131 - 1. (a) The height is h = d sin, where d = 12.5...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online