A force of 8 N acts on an object of mass 2 kg in X-direction and another force of 6 N acts on it in Y -direction. Hence, the magnitude of acceleration of the object will be ....

Options

A. `7.0 ms^(-2)`
B. `5ms^(-2)`
C. `1ms^(-2)`
D. `2.5 ms^(-2)`

Answer

B

Explanation

Resultant force
`F= sqrt((8)^(2) + (16)^(2)) = sqrt(64+36) = sqrt(100)`
`=ma = 10`
`a =(10)/( m ) = (10)/(2) = 5 ms^(-2)`