Physics Laboratory Manual
4th Edition
ISBN: 9781133950639
Author: David Loyd
Publisher: Cengage Learning
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Chapter 3, Problem 3PLA
Classify each of the following physical quantities as a vector or a scalar:
- (a) Volume _____
- (b) Force _____
- (c) Density _____
- (d) Velocity _____
- (e) Acceleration _____
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Two vectors are given by a = 8.31 + 8.4j and B = 1.lî + 3.5). Find (a) a x ») a - ( a + 3) -.
and (d) the component of a along the direction of b ?
(a) Number
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N
(b) Number
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This answer has no units
m
(c) Number
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i
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(d) Number
i
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A car is being towed 20 degrees north of west with a force of 1500 N. Express the force vector in terms of its unit vector components.
Hint: Recall SOHCAHTOA
F = -(1409.54 N)i + (513.03 N)j
OF = (1409.54 N)î + (513.03 N)j
||
OF = (513.03 N)î + (1409.54 N)j
OF = -(513.03 N)î + (1409.54 N)j
A vector has a magnitude of 12 units and is directed at angle of 60°C from the positive x-axis. A scalar value of α -2 is multiplied. Determine the new magnitude and direction.
Chapter 3 Solutions
Physics Laboratory Manual
Ch. 3 - Scalars are physical quantities that can be...Ch. 3 - A vector quantity is one that has both __________...Ch. 3 - Classify each of the following physical quantities...Ch. 3 - If F1 stands for a force vector of magnitude 30.0...Ch. 3 - What is the equilibrant force that would be needed...Ch. 3 - Figure 3-6 has been constructed to scale with 1.00...Ch. 3 - Use the polygon method of vector addition to...
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- Three forces act on point P. Force A equals 80.0 N, 60.0°. Force B equals 70.0 N, 0.0°. Force C equals 40.0 N, 315.0°. (a) Add the vectors in the order A +B + C by the graphical method. (b) Draw and measure the sum of the same vectors but in a different order (e.g. C + A + B = ?) . (c) Are the answers to (a) and (b) the same? Should they be? Explain.arrow_forwardThe magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the vector equation Fi + Gj - 3Gi - 2j = 0 where i and j are the Cartesian unit vectors. What is the value of F?arrow_forwardThe force F has a magnitude of 540 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 540 N, 0 = 28% 0 j) N T Answers: F = (i Fx i Fy= i II F i+ i N Narrow_forward
- The force F has a magnitude of 640 lb and acts along the line AM where M is the midpoint of the vertical side OB of the parallelepiped. Express F as its magnitude times the appropriate unit vector and then determine its x-, y-, and z-scalar components. |13" M F = 640 lb 7" 14" Answers: Vector F = (640 lb)( i i+ i j+ i k) Scalar components Fx = Ib Fy Fz i Ibarrow_forwardTwo vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between A and B is 54.0°. What is A B?arrow_forwardExplain this statement: “The magnitude of a vector is a scalar.arrow_forward
- The force F has a magnitude of 600 lb and acts along the line AM where M is the midpoint of the vertical side OB of the parallelepiped. Express F as its magnitude times the appropriate unit vector and then determine its x-, y-, and z-scalar components. |18" M F = 600 lb 12" 15" Answers: Vector F= (600 lb)( i i+ i j+ k) Scalar components Fx = i Ib Fy= i Ib Fz = i Ibarrow_forwardA vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis and negative y axis and makes an angle of 30° with the x axis. Its y component is: a) 6 squareroot 3 b) -6 squareroot 3 c)6 d) -6 e) 12arrow_forwardVectors A ⃗ and B ⃗ have identical magnitudes of 5.0 units. Find the angle between them if A ⃗ + B ⃗ = 5 √2j^ .arrow_forward
- A person’s speed can stay the same as he or she rounds a corner and changes direction. Given this information, is speed a scalar or a vector quantity?arrow_forwardThe force F has a magnitude of 590 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F. Assume F = 590 N, 0 = 31° Answers: F = (i Fx= i Fy || IM F i+ N N Mi INarrow_forwardDetermine the x and y components of the following three vectors in the xy plane. (a) A 6-m displacement vector that makes an angle of 34° clockwise from the +y direction. x: m y: m (b) A 29-m/s velocity vector that makes an angle of 39° counterclockwise from the -x direction. x: m/s y: m/sarrow_forward
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