Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 1, Problem 2Q
To determine
The resultant displacement of the trip when a person makes a trip from home to the grocery store and then return home.
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17. Consider
three
displacement
v (3î – 3j) m, B = (i – 4j) m, and C = (-2î + 5j) m.
the component method to determine (a) the
magnitude and direction of D = A + B + C and
(b) the magnitude and direction of E = -A - B + C.
the
vectors
A
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Chapter 1 Solutions
Physics Fundamentals
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- In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁-320 m from the station and at angle 0₁ - 44° above the horizon. The airplane is tracked through an angular change A0 - 123° in the vertical east-west plane; its distance is then d₂ - 750 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. (a) Number (b) Number W Units Units AP Airplane d₂ Radar disharrow_forward1) A dog. initially at position 2.8 m [W] of its owner, runs to retrieve a stick that is 12.6 m [E] of its owne. a) Draw an illustration showing the position and displacement vectors in this situation. b) Determine the displacement the dog needs to reach the stick. 2) The table below gives the position-time data of a ball that has left a bowler's hand and is rolling forward. Detemine the displacement between the following times: (Please refer to the photo) 3) A motorcycle took only 6.0 seconds to go from rest to 78 m/s (2.8 x 102 km/hr), earning the world record for motorcycle acceleration. Calculate the magnitude of the record average acceleration in m/s2arrow_forwardClay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45° with respect to the 50-yard line and covers 8.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?arrow_forward
- What is the magnitude and direction of the resultant of these vectors: 100N due south and 100N 30˚ north of west (A)100N northeast (B) 100N at 60˚ North of east (C) 100N at 30˚ South of west (D)100N at 40˚North of eastarrow_forwardA volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.arrow_forwardAn airplane travels 200 km, 30 degrees NE. It changes its course by moving 100 km north before reaching its destination. Using the laws of sine and cosine, determine the resultant displacement of the airplane.arrow_forward
- Current Attempt in Progress One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.30 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) VWhat is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardVector A has a magnitude of 3.2 m/s and vector B has a magnitude of 5.3 m/s. If you can change the directions of A and B (but not their magnitudes) what are the limits on the length of A + B ?arrow_forwardA ship travels 40 km due to east, 30 km due to south, and 50 km due to east. What is the magnitude of the resultant displacement of the ship? And determine its direction. Finally, what is its M A D?arrow_forward
- A plane is flying east at 135(m)/(s). The wind accelerates it at 2.18(m)/(s^(2)) directly northeast. After 18.0s, what is the magnitude of the displacement of the plane?arrow_forwardAn explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: Given x-component (w/ sign direction) y-component (w/ sign direction) A = 50 m NE m B = 180 m 72° NW C = 150 m S %3D m Resultant m Thus, the magnitude of the resultant vector is R = m With a direction of O NW Therefore, the vector needed for him to successfully get back home is Rhome O SEarrow_forwardFind the resultant displacement and direction of the particle with the following displacements: 15 m due east 20 m, 200 North of East 10 m due North 13 m, 600 North of West 12 m, 200 South of Westarrow_forward
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