A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate in a straight line. The diagram below shows the angles that P and Q make with the path of the particle, which is shown as a dashed line. The magnitude Q is 21N. Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the particle. Give numerical answers to 2 significant figures. 34 544° a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P. b) Write down the vector equation obtained by applying Newton's second law of motion to the particle. Hence, or otherwise, find the acceleration of the particle. c) The particle starts from rest. Find its speed after it has moved 2metres.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

See attached image

A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate
in a straight line. The diagram below shows the angles that P and Q make with the path of the
particle, which is shown as a dashed line.
The magnitude Q is 21N.
Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the
particle. Give numerical answers to 2 significant figures.
34
44°
a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P.
b) Write down the vector equation obtained by applying Newton's second law of motion to the
particle. Hence, or otherwise, find the acceleration of the particle.
c) The particle starts from rest. Find its speed after it has moved 2metres.
Transcribed Image Text:A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate in a straight line. The diagram below shows the angles that P and Q make with the path of the particle, which is shown as a dashed line. The magnitude Q is 21N. Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the particle. Give numerical answers to 2 significant figures. 34 44° a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P. b) Write down the vector equation obtained by applying Newton's second law of motion to the particle. Hence, or otherwise, find the acceleration of the particle. c) The particle starts from rest. Find its speed after it has moved 2metres.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Thank you. What do the 3 dots in section 'b' mean and also the # notation? 

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Lagrange equations
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON