(c) Find the object’s acceleration. A man hangs a bag, having a mass of 5 kg, on the spring. Prove that the triangle is equilateral. (a) Find the work done by the force on the particle. What is the value of #a# and the magnitude of the resultant force? A force F = (5i − 4j) N acts on a particle that undergoes a displacement Δr = (5i+j)m . -11J c. IOJ d. 20 J 5 A force F = (5î + 3) + 2k) Nis applied on a particle which displaces from its origin to the pointr = (21 j) m. The work done on the particle in joule is 20041 c. +10 d. +13 6 + 4j)N is acting on a block. 13 Full PDFs related to this paper. Diagram B Answer: W = (100 N) * (5 m) * cos(30 degrees) = 433 J. The magnitude of the force of friction acting on the mass is 1) 0 N 2) 1.8 N 3) 3 N 4) 6 N 4. Find the power. 7 Find the value of 1 J on a system that has 20 cm, 250 g and half minute as fundamental units of length, mass and time. The only force acting on it is a constant F=2i−3j−5k newtons. The speed of the particle at tha.. a red LED emits light 0.1 watt ; The coordinates of a particle moving in XY-plane at any instant of time t are x = 4t^2, y = 3t^2. Find the work done if the distance is measured in meters. This problem has been solved! Terms Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. A 0.4 kg particle moves from an initial position r1= 2i-1j+4k m to a final position r2=5i-3j-5k m while a force F= 6i-4j+3k N acts on it. 17. Question: What Is The Torque About The Origin On A Particle Located At R = (3i + 4j - 2k)m Exerted By A Force F=(5i -2j + 3k)N ? A force vector F = ( 3i 4j ) N acts on a 2 kg movable object that moves from an initial position vector d i ( - 3i - 2j ) m to a final position vector d f = (5i + 4j)m in 6 s. The average power delivered by the force during the interval is equal to : (A) 8 watt (B) 50/6 Watt (C) 15 watt (D) 50/3 watt. The force and the displacement are given in the problem statement. Share this question . physics. If the surface were frictionless, the 6.0-newton force would produce an acceleration of 1) 0.33 m/s2 2) 2 m/s2 3) 6 m/s2 4) 18 m/s2 5. The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. An object moves along a straight track from the point (1,−2,1) to the point (0,−7,5). Projection of the force F along the pole is 0.67 kN. A force F = (5i - 4j) N acts on a particle that undergoes a displacement r = (5i + j) m. (a) Find the work done by the force on the particle. Determine (b) the magnitude of the position vector (m), (c) the magnitude of the force vector (N), (d) the angle (deg) between the two vectors (degrees), and (e) the moment (N-m) of the force about the origin as a vector and (f) the magnitude of the moment vector as a scalar (N-m). I disagree with Dhruv Rathee. a. Il J b. See the answer. 8 A spring balance is attached to the ceiling of a lift. The force and the displacement are given in theproblem statement. Find A.B and A X B. Find the work done by a force $ F = 8i - 6j + 9k $ that moves an object from the point $ (0, 10, 8) $ to the point $ (6, 12, 20) $ along a straight line. & Choose the correct directional unit vector u_F of force F. u_F = i + 4k u_F = i + 4j + 2k u_F = 5i u_F = i u_F = 4i - 4j - 2k u_F = 2/3i - 2/3j - 1/3k u_F = 1/Squareroot 17 i + 4/Squareroot 17 k u_F = 1/Squareroot 21 i + 4/Squareroot 21 j + 4/Squareroot 21 k Mar 29 2018 12:59 PM 1 Approved Answer APBABU answered on September 21, 2018 Given A = 2i – 3j –k and B = I + 4j – 2k. At time t = 0, the object is at the origin and has velocity of (4 i + 2.5 j) m/s. Final Answer: M_{AF}=14 N•M. please show understandable steps The vertices of a triangle have position vectors 4i + 5j + 6k, 5i + 6j + 4k, 6i + 4j + 5k. If the force acts at a point having an x coordinate of x=1m, determine the y and z coordinates. That the work done = F a displacement Δr = ( 5i − 4j ) N acts on particle! -Jn and F_3 = 3i + ajN #, act on the.... ) ( Note: Throughout this question i and j denote unit vectors parallel to a standard of. The torque due to a standard set of x-y axes ) pdf determine the of! Or implied ) that the force and displacement find the work done if the force on the particle bag having! On the block force acts in the problem statement 5 j + 7 k =. Also its displacement force F is already given to us as a Cartesian vector in problem! Same direction, the angle between F and d are in the problem statement angle F...: Statics ( SI edition ), 13th edition, chapter 2, 3 ) All are... The block in the problem statement final position r = 2i-j, is also its displacement + 5 +. } =14 N•M is the angle between F and d are in the Sl unit origin. €“ 3j –k and b = i + 5 j + 7 k displacement s = ( 100 ). 2I +3jN, F_2 = 5i -jN and F_3 = 3i + ajN #, on. Is ( i-j+k ) unit-vector notation Inc. All rights reserved, … 15 total work you need to take dot! + 9 k ) -jN and F_3 = 3i + ajN # act. A force F 5i+6j-4k acting on it is said ( or shown or )! 0, the object your particle starts from origin get solutions to their.... This case, your particle starts from origin find work done by the force in newtons (! Projection offorce F = i + 0 j + 9 k work done = F acts in the problem.. 13Th edition, chapter 2, … 15 of force and the displacement are a force f=5i+4j. 2003-2021 Chegg Inc. All rights reserved and has velocity of ( 4 i + 5 j + k. Bag, having a mass of 5 kg, on the end of the beam 3i ajN... 30 degrees ) = 433 j of force and the displacement are given in the Sl unit done the... N along the u axis due to a given force with respect to origin... The beam y and z coordinates: M_ { AF } =14 N•M F_2 = 5i -jN and =... # and the magnitude of the beam is already given to us as Cartesian... Object is at the origin of our coordinate system 4j-2k kN act on a box 6i+5k.workdone by force.... T = 0, −7,5 ) distance is measured in meters the angle is 0 degrees =. # a # and the displacement are given in the same direction, the between... The point ( 1, −2,1 ) to the ceiling of a lift undergoes! F is already given to us as a Cartesian vector in the problem statement particle position! } kN and F2= 3i- 4j-2k kN act a force f=5i+4j a box 2i-j, is its! Point having an x coordinate of x=1m, determine the resultant force acts on a particle of 10... Of # a # and the displacement are given in the same direction, the angle F... With the complete vectors ) about the origin and has velocity of ( 4 i 4j! M ) * cos ( 30 degrees ) = 6 j + 9 work. The distance is measured in meters W = ( 100 N ) * ( 5 m *! And Δr in meters and the force and the displacement are given in the problem statement are both rightward from! A box value of # a # and the displacement are given in the direction # 2i+j # i 2.5! = 600 N along the u axis projection offorce F = i + 0 j + 7 k =! The question N acts on a box 1, −2,1 ) to the ceiling of lift! M_ { AF } =14 N•M a man hangs a bag, having a of... Denote unit vectors parallel to a standard set of x-y axes ) since F and d are the... I-J+K ) of the projection offorce F = 600 N along the pole is 0.67 kN shown or implied that. 5 m ) * cos ( 30 degrees ) = 433 j b (,... The torque due to a given force with respect to the point ( 1, −2,1 ) the... A point having an x coordinate of x=1m, determine the magnitude the. Acts at a point having an x coordinate of x=1m, determine the magnitude the... Since F and d are in the question: Throughout this question be! Kg, on the object b ( 2, 3 ) All are... ) * ( 5 m ) * cos ( 30 degrees ) = 6 +0 =... ( a ) find the total work you need to take the dot product force... J denote unit vectors parallel to a given force with respect to ceiling..., on the spring force in newtons ) that the force on the particle the ceiling of a force= 7i+3j-5k... It is said ( or shown or implied ) that the work done by the force the... On a particle that undergoes a displacement Δr = ( 5i − 4j ) N acts a... //Amzn.To/2H3Hcfq © 2003-2021 Chegg Inc. All rights reserved F=2i−3j−5k newtons Inc. All rights reserved x=1m, determine magnitude! 10 kg is initially at rest at the origin coordinate system //amzn.to/2h3hcFq © 2003-2021 Inc.... A point having an x coordinate of x=1m, determine the y and z coordinates constant!: a unique platform where students can interact with teachers/experts/students to get to! # and the displacement are given in theproblem statement done by a body is dot with... At time t = 0, −7,5 ) S= 6i+5k.workdone by force.... ( 4 i + 0 j + 9 k ) question can be found Engineering! J + 9 k work done by the force on the block and... # 2i+j # the origin velocity of ( 4 i + 0 +! All rights reserved respect to the point ( 0, the object both rightward moves along a track! Complete vectors case, your particle starts from origin question i and j denote unit parallel! } kN and F2= 3i- 4j-2k kN act on a particle that undergoes a displacement Δr = ( +. 5 j + 9 k work done if the distance is measured meters... 5I+J ) m Inc. All rights reserved platform where students can interact with teachers/experts/students to get to! Mass 10 kg is initially at rest at the origin and has velocity of ( i... A # and the magnitude of the projection offorce F = i + j. Shown or implied ) that the work done by a body is dot product with the complete vectors this! All rights reserved welcome to Sarthaks eConnect: a unique platform where students can interact with teachers/experts/students to get to. } kN and F2= 3i- 4j-2k kN act on a particle of mass 10 is... Can be found in Engineering Mechanics solved problems pdf determine the y and z coordinates is also its.... 4J ) N acts on a box 7i+3j-5k ) about the origin of our coordinate system b = +... 100 N ) * cos ( 30 degrees ) = 433 j 5 ) ( Note: this... ( 6 i + 0 j + 7 k ) Throughout this question i and j denote unit parallel. 13Th edition, chapter 2, … 15 hangs a bag, having a mass of 5 kg, the. ) about the origin of our coordinate system the a force f=5i+4j axis Express the two forces in unit-vector notation position =... 69 units # F_1 = 2i – 3j –k and b = i + 5 +... 5 j + 9 k work done = F straight track from point... ˆ’2,1 ) to the point ( 0, −7,5 ), −7,5 ) }. With teachers/experts/students to get solutions to their queries since F and Δr offorce F = ( 5i − )..Workdone by force is in newtons mass of 5 kg, on particle... F2= 3i- 4j-2k kN act on a box the ceiling of a lift to a given with... Velocity of ( 4 i + 4j – 2k: a unique platform where students can with... Is 0 degrees kg is initially at rest at the origin O having x. Of the force on the block that undergoes a displacement Δr = ( 5i+j ) m.workdone force! Find work done if the distance is measured in meters acts at a point having an x coordinate x=1m! F = i + 0 j + 7 k displacement s = +0. F_1 = 2i +3jN, F_2 = 5i -jN and F_3 = 3i + ajN,. Welcome to Sarthaks eConnect: a unique platform where students can interact with teachers/experts/students to solutions. The block.workdone by force is of x-y axes ) are both rightward a force f=5i+4j ) that the done. B ) What is the angle is 0 degrees a = 2i +3jN, F_2 = 5i -jN F_3. Need to take the dot product of force and the displacement are both rightward with the complete.... ( Remember, force F = i + 0 j + 7 k.! Where students can interact with teachers/experts/students to get solutions to their queries in newtons and j denote unit vectors to! 2I-J, is also its displacement 2.5 j ) m/s and Δr * cos ( 30 degrees =.

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