Figure 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 .

Options

A. 1N along y-axis
B. 1N along x-axis
C. 0.5N along x-axis
D. 0.5N along y-axis

Answer

A

Explanation

Since the graph between x and t is a strainght line and passing through the origin.
`therefore x=t`
Since the graph between y and t is a parabola.
`therefore y=t^(2)`
`therefore v_(x)=(dx)/(dt)=1 and a_(x)=(dv_(x))/(dt)=0`
`and v_(y)=(dy)/(dt)=2t and a_(y)=2ms^(-2)`
The force acting on the partical is
`F=ma_(y)=(0.5kg)(2ms^(-2))=1N "along y-axis"`