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=t^{2}

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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Figure 5.9 shows (v_{x} ,t ),and( (v_{y} ,t) diagrams for a body of unit mass. Find the force as a function of time.

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