Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 9P
A 0.340 kg particle moves in an xy plane according to x(t) = −15.00 + 2.00t − 4.00t3 and y(t) = 25.00 + 7.00t − 9.00t2, with x and y in meters and t in seconds. At t = 0.700 s, what are (a) the magnitude and (b) the angle (relative to the positive direction of the x axis) of the net force on the particle, and (c) what is the angle of the particle’s direction of travel?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Vectors u = −10i + 3j and v = −7i − 9j. What is u − v?
a
−17i − 6j
b
17i + 6j
c
3i − 12j
d
−3i + 12j
1.5 Scalars and Vectors
Find the speed and direction of an object with vy 2.0 cm/s and vy= 3.0 cm/s.
O 3.6 cm/s, 56° from the +x axis
O 5.0 cm/s, 34° from the +x axis
O 3.6 cm/s, 34 ° from the +x axis
O 3.6 cm/s, 66° from the +x axis
O 5.0 cm/s, 66° from the +x axis
Submit Answer
Save for Later
X
%24
You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. (b) Find the angle of vector A from the +x-axis.
CHOICES FOR A.
6.87 cm
7.18 cm
9.45 cm
11.44 cm
CHOICES FOR B
52.2 deg
57.1 deg
62.8 deg
65.4 deg
Chapter 5 Solutions
Fundamentals of Physics Extended
Ch. 5 - Figure 5-19 gives the free-body diagram for four...Ch. 5 - Two horizontal forces, F1=(3N)i (4N)jandF2=(1N)i...Ch. 5 - In Fig. 5-21, forces F1 and F2 are applied to a...Ch. 5 - At time t = 0, constant F begins to act on a rock...Ch. 5 - Figure 5-22 shows overhead views of four...Ch. 5 - Figure 5-23 shows the same breadbox in four...Ch. 5 - July 17, 1981, Kansas City: The newly opened Hyatt...Ch. 5 - Figure 5-25 gives three graphs of velocity...Ch. 5 - Figure 5-26 shows a train of four blocks being...Ch. 5 - Figure 5-27 shows three blocks being pushed across...
Ch. 5 - A vertical force F is applied to a block of mass m...Ch. 5 - Figure 5-28 shows four choices for the direction...Ch. 5 - Only two horizontal forces act on a 3.0 kg body...Ch. 5 - Two horizontal forces act on a 2.0 kg chopping...Ch. 5 - If the 1 kg standard body has an acceleration of...Ch. 5 - While two forces act on it, a particle is to move...Ch. 5 - GO Three astronauts, propelled by jet backpacks,...Ch. 5 - In a two-dimensional tug-of-war, Alex, Betty, and...Ch. 5 - SSM There are two forces on the 2.00 kg box in the...Ch. 5 - A 2.00 kg object is subjected to three forces that...Ch. 5 - A 0.340 kg particle moves in an xy plane according...Ch. 5 - GO A 0.150 kg particle moves along an x axis...Ch. 5 - A 2.0 kg particle moves along an x axis, being...Ch. 5 - GO Two horizontal forces F1 and F2 act on a 4.0 kg...Ch. 5 - Figure 5-33 shows an arrangement in which four...Ch. 5 - A block with a weight of 3.0 N is at rest on a...Ch. 5 - SSM a An 11.0 kg salami is supported by a cord...Ch. 5 - Some insects can walk below a thin rod such as a...Ch. 5 - SSM WWW In Fig. 5-36, let the mass of the block be...Ch. 5 - In April 1974, John Massis of Belgium managed to...Ch. 5 - SSM A 500 kg rocket sled can be accelerated at a...Ch. 5 - A car traveling at 53 km/h hits a bridge abutment....Ch. 5 - A constant horizontal force Fa pushes a 2.00 kg...Ch. 5 - A customer sits in an amusement park ride in which...Ch. 5 - Tarzan, who weighs 820 N, swings from a cliff at...Ch. 5 - 24 There are two horizontal forces on the 2.0 kg...Ch. 5 - Sunjamming. A sun yacht is a spacecraft with a...Ch. 5 - The tension at which a fishing line snaps is...Ch. 5 - SSM An electron with a speed of 1.2 107 m/s moves...Ch. 5 - A car that weighs 1.30 104 N is initially moving...Ch. 5 - A firefighter who weighs 712 N slides down a...Ch. 5 - The high-speed winds around a tornado can drive...Ch. 5 - SSM WWW A block is projected up a frictionless...Ch. 5 - Figure 5-39 shows an overhead view of a 0.0250 kg...Ch. 5 - An elevator cab and its load have a combined mass...Ch. 5 - GO In Fig. 5-40, a crate of mass m = 100 kg is...Ch. 5 - The velocity of a 3.00 kg particle is given by...Ch. 5 - Holding on to a towrope moving parallel to a...Ch. 5 - A 40 kg girl and an 8.4 kg sled are on the...Ch. 5 - A 40 kg skier skis directly down a frictionless...Ch. 5 - ILW A sphere of mass 3.0 104 kg is suspended from...Ch. 5 - GO A dated box of dates, of mass 5.00 kg, is sent...Ch. 5 - Using a rope that will snap if the tension in it...Ch. 5 - GO In earlier days, horses pulled barges down...Ch. 5 - SSM In Fig. 5-43, a chain consisting of five...Ch. 5 - A lamp hangs vertically from a cord in a de...Ch. 5 - An elevator cab that weighs 27.8 kN moves upward....Ch. 5 - An elevator cab is pulled upward by a cable. The...Ch. 5 - GO The Zacchini family was renowned for their...Ch. 5 - GO In Fig. 5-44, elevator cabs A and B are...Ch. 5 - In Fig. 5-45, a block of mass m = 5.00 kg is...Ch. 5 - GO Fig. 5-46, three ballot boxes are connected by...Ch. 5 - GO Figure 5-47 shows two blocks connected by a...Ch. 5 - An 85 kg man lowers himself to the ground from a...Ch. 5 - In Fig. 5-48, three connected blocks are pulled to...Ch. 5 - GO Figure 5-49 shows four penguins that are being...Ch. 5 - SSM ILW WWW Two blocks are in contact on a...Ch. 5 - GO In Fig. 5-51a, a constant horizontal force Fa...Ch. 5 - ILW A block of mass m1 = 3.70 kg on a frictionless...Ch. 5 - Figure 5-53 shows a man sitting in a bosuns chair...Ch. 5 - SSM A 10 kg monkey climbs up a massless rope that...Ch. 5 - Figure 5-45 shows a 5.00 kg block being pulled...Ch. 5 - SSM ILW A hot-air balloon of mass M is descending...Ch. 5 - In shot putting, many athletes elect to launch the...Ch. 5 - GO Figure 5-55 gives, as a function of time t, the...Ch. 5 - GO Figure 5-56 shows a box of mass m2 = 1.0 kg on...Ch. 5 - GO Figure 5-47 shows Atwoods machine, in which two...Ch. 5 - GO Figure 5-57 shows a section of a cable-car...Ch. 5 - Figure 5-58 shows three blocks attached by cords...Ch. 5 - A shot putter launches a 7.260 kg shot by pushing...Ch. 5 - In Fig. 5-59, 4.0 kg block A and 6.0 kg block B...Ch. 5 - An 80 kg man drops to a concrete patio from a...Ch. 5 - SSM Figure 5-60 shows a box of dirty money mass m1...Ch. 5 - Three forces act on a particle that moves with...Ch. 5 - SSM In Fig. 5-61, a tin of antioxidants m1 = 1.0...Ch. 5 - The only two forces acting on a body have...Ch. 5 - Figure 5-62 is an overhead view of a 12 kg tire...Ch. 5 - A block of mass M is pulled along a horizontal...Ch. 5 - SSM A worker drags a crate across a factory floor...Ch. 5 - In Fig. 5-64, a force F of magnitude 12 N is...Ch. 5 - A certain particle has a weight of 22 N at a point...Ch. 5 - An 80 kg person is parachuting and experiencing a...Ch. 5 - A spaceship lifts off vertically from the Moon,...Ch. 5 - In the overhead view of Fig. 5-65, five forces...Ch. 5 - SSM A certain force gives an object of mass m1 an...Ch. 5 - Prob. 84PCh. 5 - A 52 kg circus performer is to slide down a rope...Ch. 5 - Compute the weight of a 75 kg space ranger a on...Ch. 5 - An object is hung from a spring balance attached...Ch. 5 - Imagine a landing craft approaching the surface of...Ch. 5 - A 1400 kg jet engine is fastened to the fuselage...Ch. 5 - An interstellar ship has a mass of 1.20 106 kg...Ch. 5 - SSM A motorcycle and 60.0 kg rider accelerate at...Ch. 5 - Prob. 92PCh. 5 - SSM Figure 5-66a shows a mobile hanging from a...Ch. 5 - For sport, a 12 kg armadillo runs onto a large...Ch. 5 - Suppose that in Fig. 5-12, the masses of the...Ch. 5 - A nucleus that captures a stray neutron must bring...Ch. 5 - If the 1 kg standard body is accelerated by only...
Additional Science Textbook Solutions
Find more solutions based on key concepts
What two components contribute to species diversity? Explain how two communities with the same number of specie...
Campbell Biology (11th Edition)
Write an equation that uses the products of photosynthesis as reactants and the reactants of photosynthesis as ...
Campbell Biology in Focus (2nd Edition)
Describe the four curves of the vertebral column.
Principles of Anatomy and Physiology
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
Cosmic Perspective Fundamentals
1. Which is a function of the skeletal system? (a) support, (b) hematopoietic site, (c) storage, (d) providing ...
Anatomy & Physiology (6th Edition)
53. This reaction was monitored as a function of time:
A plot of In[A] versus time yields a straight ...
Chemistry: Structure and Properties (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.arrow_forwardThe velocity of a particle moving in the x-y plane is given by (7.24i + 6.04j) m/s at time t = 4.27 s. Its average acceleration during the next 0.022 s is (2.3i + 4.0j) m/s?. Determine the velocity v of the particle att = 4.292 s and the angle e between the average- acceleration vector and the velocity vector at t = 4.292 s. Answers: v = ( i i+ i j) m/s e = iarrow_forwardFind θx and θx. 86.66 and 86.66 are incorrect. Thank youarrow_forward
- The velocity of a particle moving in thex-y plane is given by (4.03i + 7.36j) m/s at time t = 3.64 s. Its average acceleration during the next 0.020 s is (2.2i + 2.6j) m/s?. Determine the velocity v of the particle at t = 3.660 s and the angle e between the average- acceleration vector and the velocity vector at t = 3.660 s. Answers: v= ( i i+ i j) m/s e =arrow_forwardHere are three vectors in meters: d1 = -6.60î + 8.70ĵ + 3.50k d 2 = - 2.00î – 4.00ĵ + 2.00k d 3 = 2.00î + 3.00ĵ + 1.00k What results from (a) đ1· ( đ 2 + đ 3 ), (b) đ 1 · ( đ 2 × đ 3), and d 1 x ( d 2 + d 3 ) (c), (d) and (e) for i,j and k components respectively)? (a) Number i Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Unitsarrow_forwardA particle's position is given as [(2.00 + 0.500 sin(0.4001))î + (3.00 + 0.500 sin(0.4004))ĵ] + 2.00/²k) m, where the angles in the equation are given in radians, the time in seconds and the position in meters. (a) Determine the position of the particle at t = 0. (b) Determine the speed of the particle at t = 0.200 s. (c) Determine the average acceleration of the particle betweent = 0.200 s and t = 0.400 s.arrow_forward
- The position vector of a particle of mass 0.05 kg is r (t) = 3 cos (4. t)i + 3 sin (4.t)j +10 t k What is the vector expression for the velocity of the particle at time t in m/s? v (t) = ? What is the vector expression for the acceleration of the particle at time t in m/s^2? a(t) = ? Deduce the magnitude of the force acting on the particle |F| = What is the direction of the acceleration compared with the velocity of the particle?arrow_forward3.1arrow_forwardYour answer is partially correct. The position 7 of a particle moving in an xy plane is given by 7 = (4.00 – 1.00t)î + (5.00 – 1.00r“)ĵ with 7 in meters and tin seconds. In unit-vector notation, calculate (a) r, (b) V,and (c) a for t= 3.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 3.00 s? Give your answer in the range of (-180°; 180°). (a) Number 105 -76 i Units (b) Number 107 it -108 i Units m/s (c) Number 72 Ît -108 i Units m/s^2 (d) Number i 45.26 Units (degrees)arrow_forward
- Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i + 4.0j, E = -2.0i + 3.0j + 2.0k, F = -9.0j. a)What is A × B? Give your answer in the form of "ai + bj + ck". b)What is B × A? Give your answer in the form of "ai + bj + ck". c)What is C × D? Give your answer in the form of "ai + bj + ck". d)What is F × E? Give your answer in the form of "ai + bj + ck".arrow_forward1. You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is A; its second displacement is B, of magnitude 10.00 cm and direction 74.2 deg measured in the sense from the +x-axis toward the -y-axis. The resultant C = A + B of the two displacement s should also have a magnitude of 10.00 cm, but a direction 41.6 deg measured in the sense from the +x-axis toward the +y-axis. (a) Find the magnitude of A. 2. A ball is speeding up along a circular track. What can be said about the velocity and acceleration vectors on the body? 3. In an intersection, a bus moving at (100i) m/s and a truck moving at (200j) m/s collided with each other. Assuming that the two objects have the same mass, what would be their final speed together?arrow_forwardI need help with this HW problemarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY