Two forces, one of 3 newton and another of 4 newton are applied on a standard 1 kg body, placed on a horizontal and frictionless surface, simultaneously along the x-axis and the y-axis, respectively, as shown below:

The magnitude of the resultant acceleration is:

Options

A. `7 m/s^(2)`
B. `1 m/s^(2)`
C. `5 m/s^(2)`
D. `sqrt(7) m/s^(2)`

Answer

C

Explanation

Final force will be along the Z axis.
`F=sqrt((3)^(2))+(4)^(2)`
`=sqrt(9)+16=sqrt(25)=5`
Acceleration (a) `=F//m=5//1=5m//s^(2)`