Physics Physics Practice Problems Solutions Library

# Vector Composition & Decomposition Solutions Library

### Browse Solutions

35 solutions

Vector Composition & Decomposition

#### Q. overrightarrow {f{V}} is a vector 24.8 units in magnitude and points at an angle of 23.4 above the positive exttip{x}{x} axis.Sketch this vector....

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Compute the x- and y-components of the vectors A, B, C, and D in the figure . You may want to review (Pages 14 - 18). For related problemsolvin...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A man is dragging a trunk up the loading ramp of a movers truck. The ramp has a slope angle of 20.0, and the man pulls upward with a force whose d...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Vector A has y-component Ay = +15.0 m and makes an angle of 32.0 counterclockwise from the +y-axis.What is the x-component of A?What is the magnitu...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A warehouse worker pushes a crate along the floor by a force of 10 N that points downward at an angle of 45° below the horizontal.(a) Find the hori...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A cube is placed so that one corner is at the origin and three edges are along the x-, y-, and z -axes of a coordinate system (the figure ). ...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Vector A is in the direction 34.0° clockwise from the −y-axis. The x-component of A is Ax = −16.0 m.(a) What is the y-component of A?(b) What is th...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A position vector in the first quadrant has an x-component of 18 m and a magnitude of 30 m.What is the value of its y-compo...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A cannon tilted upward at 36 fires a cannonball with a speed of 110 m/s .What is the component of the cannonballs velocity parallel to ...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Jack and Jill ran up the hill at 5.0 m/s . The horizontal component of Jills velocity vector was 2.5 m/s .What was the angle of the hill?What w...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A pine cone falls straight down from a pine tree growing on a 26 slope. The pine cone hits the ground with a speed of 13 m/s .What is t...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. What are the x- and y-components of the velocity vector shown in the figure?

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A velocity vector 41 below the positive x-axis has a y-component of - 31 m/s . You may want to review (Page 70).What is the value of its x-compon...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Dee is on a swing in the playground. The chains are 2.5 m long, and the tension in each chain is 450 N when Dee is 55 cm above t...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Your neighbor Paul has rented a truck with a loading ramp. The ramp is tilted upward at 35° and Paul is pulling a large crate up the ramp with a ro...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.4 m above the ground. His weight of 880 N...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vertical, and Kami pulls parallel to the ...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 55 with the horizontal, and t...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Let the polar coordinates of the point (x y) be (r u). Determine the polar coordinates for the points (a) (2x y) (b) (22x 22y) and (c) (3x 23y).

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A surveyor measures the distance across a straight river by the following method: Starting directly across from a tree on the opposite bank, she wa...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate:(a) the magnitude of B(b) the angle that B makes with ea...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Two points in a plane have polar coordinates (2.50 m 30.0°) and (3.80 m 120.0°). Determine (a) the Cartesian coordinates of these points and (b) th...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A snow-covered ski slope makes an angle of 35.0° with the horizontal. When a ski jumper plummets onto the hill a parcel of splashed snow is thrown ...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Two points in the xy plane have Cartesian coordinates (2.00 24.00) m and (23.00 3.00) m. Determine (a) the distance between these points and (b) th...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A vector has an x component of 225.0 units and a y component of 40.0 units. Find the magnitude and direction of this vector.

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from the positive x-axis. Calculate the x and y componen...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A person walks 25.0° north of east for 3.10 km. How far would she have to walk due north and due east to arrive at the same location? Use a coordin...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. Obtain expressions in component form for the position vectors having the polar coordinates(a) 12.8 m 150°(b) 3.30 cm 60.0°(c) 22.0 in 215°

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A vector lying in the xy plane has components of opposite sign. The vector must lie in which quadrant? (a) the first quadrant (b) the second quadra...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. What is the x component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 24 cm (d) 26 cm (e) none of those answers

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. The polar coordinates of a point are r 5 5.50 m and u 5 240°. What are the Cartesian coordinates of this point?

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. What is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 24 cm (d) 26 cm (e) none of those answers

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A submarine dives from the water surface at an angle of 30° below the horizontal following a straight path 50 m long. How far is the submarine then...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are posit...

Solved • Oct 29, 2018

Vector Composition & Decomposition

#### Q. A fly lands on one wall of a room. The lowerleft corner of the wall is selected as the origin of a two-dimensional Cartesian coordinate system. If ...

Solved • Oct 29, 2018