Q. 32

Figure 5.8 shows (x, t), (y, t ) diagram of a particle moving in 2-dimensions.



If the particle has a mass of 500 g, find the force (direction and magnitude) acting on the particle.

Answer :

The force acting on any particle is mass(m) times acceleration(a).


Here, we need to find the acceleration from the above graphs.


From the x-t graph, we can see the relation that


x=t


And from the y-t curve,


y=t2


so,


ax = x’’ = 0 m s-2


ay = y’’ = 2 ms-2


So, the force is


Fx = 0


Fy = m x 2 = 0.5 x 2 = 1 N


Hence the force is 1N and is along y-axis.


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