vector and mass

A particle of mass m kg is acted on by two forces F1 and F2 with magnitudes 3root5 newtons and root5 newtons ad drections parallel to the vectors i+2j and i-2j respectively

The particle is initially at a position given by vector 2i+j

iv calculated the cartesian components of F1 and F2
F1 = 3i+6j
F2 = i 2j

iv also calculated the cartesian component of the total force F1+F2 = (3i+6j)+(i-2j) = 4i +4j

however the part im struggling on is that now the particle is of mass 1kg and is initially at rest, i have to use newtons 2nd law to write down an equation of motion and find the position of the particle after 1second.

so far iv tried:
F=ma
F1+F2= 1a
therefore a = 4i+4j but then i don't know how to find the new posistion ...can anyonehelp thankz


New postion= oldposition +intialvelocity*time + 1/2 acceleration*time^2. Technically, you should integrate to get this equation, but because acceleration is constant, the integration leads to the preceeding.

where acceleration= force/mass, and you have force and mass.

all the above of course is a vector equation, not messy at all. You can work the i,j components as separate equations, as the system is orthogonal. If needed, I can critique your work.


thankz iv worked it out


Assuming you have calculated the "a" vector correctly, just multiply it by t^2 to get the vector position change at time t. You do not have to add a term for (initial velocty vector) times t,, because the mass was initially at rest.

Add the position change vector to the initial position coordinates to get the new location.


I forgot about the factor (1/2) when calculating the position change due to acceleration. Bob Pursley's answer, posted just before mine, is correct


I have no clue.

  1. 👍 0
  2. 👎 0
  3. 👁 59
asked by rav

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mechanics A level?

    A particle P lies on a smooth horizontal surface. It is acted on by two horizontal forces of magnitudes 25 N at an angle of 30 degree with the horizontal and 20 N at an angle of 45 degree with the horizontal. Both forces acted

    asked by Dove on April 18, 2012
  2. Physics

    A particle is acted upon two forces given by the vector equations, F1=1.5i-0.7j and F2=-3.1i+3.6j, with values measured in Newtons(N). Calculate the resultant force, in N, acting on the particle, giving your answer to 3 dec

    asked by Annoymous on March 5, 2012
  3. physics

    Two forces, 1 = (3.85 − 2.85) N and 2 = (2.95 − 3.65) N, act on a particle of mass 2.10 kg that is initially at rest at coordinates (−2.30 m, −3.60 m). (a) What are the components of the particle's velocity at t = 11.8 s?

    asked by Anonymous on March 7, 2014
  4. mechanics

    A particle of mass 10 kg is acted on by a resultant force, F newtons. If the position vector of the particle is given by r = 6ti + (4t + 8t2)j, then F is equal toĻ

    asked by Karabo on November 11, 2012
  5. College Physics

    A mass of 50.0 kg is acted on by only two forces: Force 1 is 650 N to the right, and Force 2 is 520 N to the left. What is the acceleration of the mass in response to these forces?

    asked by sophie on July 12, 2017
  6. maths/physics

    particle of mass m kilograms is acted on by two forces F[1] and F[2] with magnitudes 3*sqr-root 5 newtons and sqr-root 5 newtons and directions parallel to the vectors i+2j and i-2j respectively. The particle is initially at a

    asked by rav on July 14, 2006
  7. physic

    Three forces F1 = (80.90i − 54.63j) N, F2 = (23.50i − 80.52j) N, and F3 = (−104.4i + 361.9j) N are exerted on a particle. The particle's mass is 23.11 kg. Find the particle's acceleration. (Express your answer in vector

    asked by joy on February 6, 2018
  8. physics

    A particle of mass m = 0.3 kg is acted upon by a force so that its position vector, r(t)=2.0t^2(i)- 5.0t^2 (j) +t^2 (k) where t is in s. What is the (instantaneous) power delivered by this force to the particle at time t = 2.0s?

    asked by K on December 10, 2015
  9. Science

    gravitational forces are be acted on a space center what other data need to show the forces a-direction of the opposite force b-magnitute of the downward force graviatational forrces are being acted on a space station i think what

    asked by hh on April 30, 2013
  10. Physics

    A particle with mass 6.4 is acted on by a conservative force moves along a path given by: x=5.2*cos(2.2t) y=5.9*sin(2.2t) Find the potential energy of the particle at t = 1, x = 8.0, and y = 14.7 while assuming that the initial

    asked by Chuck on March 21, 2008
  11. Physics

    A particle with mass 6.4 is acted on by a conservative force moves along a path given by: x=5.2*cos(2.2t) y=5.9*sin(2.2t) Find the potential energy of the particle at t = 1, x = 8.0, and y = 14.7 while assuming that the initial

    asked by Chuck on March 21, 2008

More Similar Questions