A force of 20 N is acting on a body of mass 4 kg in the x-y plane. The direction of the force makes an angle of `cos^(-1)""((3)/(5))` with the x axis. What is the component of acceleration along the axis ?

Options

A. `3 m//s^(2)`
B. `4 m//s^(2)`
C. `5 m//s^(2)`
D. `2 m//s^(2)`

Answer

B

Explanation

Acceleration `=("Force")/("Mass") =(20)/(4) = 5 m//s^(2)`
It is given that `alpha = cos^(-1)""((3)/(5))`
`therefore cos alpha =(3)/(5) and sin alpha =(4)/(5)`
`F cos alpha and F sin alpha` are the components of the force F along x and y axes.
`therefore` Component of acceleration along x axis `= a cos alpha and` the component of acceleration along y axis `= a sin alpha`
`therefore a_(y) =5 xx (4)/(5) =4 m//s^(2)`