The acceleration of a freely falling object is 32 ft/s 2. Use 1 ft = cm to express this acceleration in units of m/s 2.

Size: px

Start display at page:

Download "The acceleration of a freely falling object is 32 ft/s 2. Use 1 ft = cm to express this acceleration in units of m/s 2."

Amberly Reeves
6 years ago
Views:

1 Chapter 1 [ Edit ] Chapter 1 Overview Summary View Diagnostics View Print View with Answers Due: 11:59pm on Sunday, January 22, 2017 To understand how points are awarded, read the Grading Policy for this assignment. Exercise 1.10 Description: The following conversions occur frequently in physics and are very useful. (a) Use 1 (mi)=5280 (ft) and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 (ft)/s^2. Use 1 (ft) = (... The following conversions occur frequently in physics and are very useful. Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. 88 ft/s The acceleration of a freely falling object is 32 ft/s 2. Use 1 ft = cm to express this acceleration in units of m/s m/s 2 The density of water is 1.0 g/cm 3. Convert this density to units of kg/m kg/m 3 Exercise 1.34 Description: (a) Find the magnitude of the vector A_1_vec represented by the pair of components A_x_1= A_x_1, A_y_1= A_y_1. (b) Let the direction of a vector be the angle that the vector makes with the +x axis, measured counterclockwise from that axis /13

2 Find the magnitude of the vector A 1 represented by the pair of components A x1 = 8.20 cm, A y1 = 6.10 cm. = 10.2 cm Let the direction of a vector be the angle that the vector makes with the +x axis, measured counterclockwise from that axis. Find the direction of the vector A 1. = 143 Find the magnitude of the vector A 2 represented by the pair of components A x2 = 5.70 m, A y2 = 3.05 m. = 6.46 m Part D Find the direction of the vector A 2. Let the direction of a vector be the angle that the vector makes with the +x axis, measured counterclockwise from that axis. = 208 Part E Find the magnitude of the vector A 3 represented by the pair of components A x3 = 7.80 km, A y3 = 2.30 km. 2/13

3 = 8.13 km Part F Find the direction of the vector A 3. Let the direction of a vector be the angle that the vector makes with the +x axis, measured counterclockwise from that axis. = 344 Exercise 1.24 Description: (a) For the vectors A_vec and B_vec in the figure, use a scale drawing to find the magnitude of the vector sum A_vec+B_vec. (b) Find the direction of the vector sum A_vec+B_vec. (c) Find the magnitude of the vector difference A_vec... For the vectors A and in the figure, use a scale drawing to find the magnitude of the vector sum A + B. 9.0 m Find the direction of the vector sum A + B. 3/13

4 34 counterclockwise from +x axis Find the magnitude of the vector difference A B. 22 m Part D Find the direction of the vector difference A B. Express your answer using three significant figures. 250 counterclockwise from +x axis Part E Use your answers to find the magnitude of A B. 9.0 m Part F Find the direction of A B. Express your answer using three significant figures. 214 counterclockwise from +x axis Part G Find the magnitude of B A. 4/13

5 22 m Part H Find the direction of B A. 70 counterclockwise from +x axis Exercise 1.26 Description: A spelunker is surveying a cave. She follows a passage ## m straight west, then s2 in a direction 45 degree(s) east of south, and then 280 m at 30 degree(s) east of north. After a fourth unmeasured displacement, she finds herself back... A spelunker is surveying a cave. She follows a passage 120 m straight west, then 250 m in a direction 45 east of south, and then 280 m at 30 east of north. After a fourth unmeasured displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude of the fourth displacement. = 210 m Determine the direction of the fourth displacement. = 18 South of West 5/13

6 Exercise 1.38 Description: (a) Given the vector A_vec = 4.00 i_unit j_unit, find the magnitude of the vector. (b) Given the vector B_vec = 5.00 i_unit 2.00 j_unit, find the magnitude of the vector. (c) Write an expression for the vector difference... Given the vector A = 4.00 i^ j^, find the magnitude of the vector Given the vector B = 5.00 i^ 2.00j^, find the magnitude of the vector Write an expression for the vector difference Express your answer in terms of unit vectors. A B using unit vectors. A B = Part D Find the magnitude of the vector difference A B Part E Find the direction of the vector difference A B counterclockwise from + x direction 6/13

Part F In a vector diagram show A, B, and C = A B. Draw the vectors starting at the black dot. Both the orientation and length of your vectors will be graded.

7 Part F In a vector diagram show A, B, and C = A B. Draw the vectors starting at the black dot. Both the orientation and length of your vectors will be graded. Use "vector info" button to see the angle and length of your vectors. Exercise 1.45 Description: Find the angle between each of the following pairs of vectors A_vec = A_x i_unit + A_y j_unit and B_vec = B_x i_unit + B_y j_unit. (a) A_x_1= A_x_1, A_y_1= A_y_1; B_x_1= B_x_1, B_y_1= B_y_1. (b) A_x_2= A_x_2, A_y_2= A_y_2; B_x_2=... Find the angle between each of the following pairs of vectors A = A x i^ + A y j^ and B = B x i^ + B y j^. A x1 = 3.40, A y1 = 8.00; B x1 = 2.50, = B y1 = /13

8 A x2 = 3.00, A y2 = 5.00; B x2 = 10.2, = B y2 = 24.6 A x3 = 4.00, A y3 = 2.00; B x3 = 7.00, = B y3 Exercise 1.46 Description: (a) For the two vectors in the figure, find the magnitude of the vector product A_vec * B_vec. (b) Find the direction of the vector product A_vec * B_vec. (c) Find the magnitude of B_vec * A_vec. (d) Find the direction of B_vec * A_vec. For the two vectors in the figure, find the magnitude of the vector product A B cm 2 8/13

Find the direction of the vector product A B. +z direction z direction Find the magnitude of B A. 4.61 cm 2 Part D Find the direction of B A. +z direction z direction Problem 1.

9 Find the direction of the vector product A B. +z direction z direction Find the magnitude of B A cm 2 Part D Find the direction of B A. +z direction z direction Problem 1.66 Description: On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, Iowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas. The directions are shown relative to north: 0 degree(s)is north, 90 degree(s)is east, 180 degree(s)is... On a training flight, a student pilot flies from Lincoln, Nebraska to Clarinda, Iowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas. The directions are shown relative to north: 0 is north, 90 is east, 180 is south, and 270 is west. 9/13

10 Use the method of components to find the distance she has to fly from Manhattan to get back to Lincoln. 189 km Find the direction (relative to north) she must fly to get there. θ = 350 Also accepted: 10.5 Problem 1.68 Description: An explorer in Antarctica leaves his shelter during a whiteout. He takes n1 steps northeast, then n2 steps at an angle 60 degree(s) north of west, then n3 steps due south. Assume his steps all have equal length. (a) Select the... An explorer in Antarctica leaves his shelter during a whiteout. He takes 31 steps northeast, then 89 steps at an angle 60 north of west, then 47 steps due south. Assume his steps all have equal length. Select the correct diagram, roughly to scale, of the three vectors and their resultant. 10/13

11 11/13

12 What is the magnitude of the displacement that will return the explorer to his shelter? R = = 57 steps Also accepted: = 56.7, = 57 What is the direction of the displacement that will return the explorer to his shelter? θ = = 23 east of south Also accepted: = 23.5, = 23 Problem 1.76 Description: Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks l1 in a direction 60.0 degree(s) west of north. Jane walks l2 in a direction 30.0 degree(s) south of... Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 22.0 m in a direction 60.0 west of north. Jane walks 11.0 m in a direction 30.0 south of west. They then stop and turn to face each other. What is the distance between them? Express your answer with the appropriate units. 12/13

Overview Diagnostics Print View with Answers

All Assignments Chapter 1 Edit Chapter 1 Due: 11:59pm on Sunday, January 20, 2019 Overview Diagnostics Print View with Answers To understand how points are awarded, read the Grading Policy for this assignment.