HW2_PHY131

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

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

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.

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

View Full Document
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.
. (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 .

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

View Full Document
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 = + =
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

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

View Full Document
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
Ask a homework question - tutors are online