GATE Exam  >  GATE Questions  >  A particle of mass 2 kg is travelling at a ve... Start Learning for Free
A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________ 
    Correct answer is '5.5'. Can you explain this answer?
    Verified Answer
    A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A forc...
    f (t) = 3t2 
    m.Q = 3t2 
    m. = 3t2
     m.dv 3t2 dt
    View all questions of this test
    Most Upvoted Answer
    A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A forc...
    Explanation:



    Given, mass of the particle, m = 2 kg


    Initial velocity, u = 1.5 m/s


    Force applied, f(t) = 3t^2 N


    Duration of force application, t = 2 s


    We can find the final velocity of the particle using the formula:


    v = u + (f/m)t


    After substituting the values, we get:


    v = 1.5 + (3/2)∫[0,2] t^2 dt / 2


    v = 1.5 + (3/4)(2^3 - 0^3)


    v = 1.5 + (3/4)(8)


    v = 5.5 m/s


    Therefore, the velocity of the particle immediately after the removal of the force is 5.5 m/s.
    Explore Courses for GATE exam
    A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer?
    Question Description
    A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer?.
    Solutions for A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
    Here you can find the meaning of A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer?, a detailed solution for A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? has been provided alongside types of A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force f(t)=3t2 (in N) is applied to it in the direction of motion for a duration of 2 seconds, where t denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is________Correct answer is '5.5'. Can you explain this answer? tests, examples and also practice GATE tests.
    Explore Courses for GATE exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev