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.

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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