Here, we have to calculate the magnitude and direction of the acceleration.
To calculate the magnitude of the acceleration, firstly we need to calculate the net force acting on the body.
Net force can be calculated by,
Net force = [tex] f_1 + f_2 [/tex]
we have,
[tex]f_1 [/tex] = 5 Newton
[tex]f_2 [/tex] = 3 Newton
plugging the required values,
Net force = 5 + 3
Net force = 8 newton.
Now to calculate the magnitude of the acceleration, we can use Newton's second law of motion which states that the net force acting on body is equal to the product of the mass of the object and Acceleration.
F = ma
where m is mass of the body and a is acceleration
plugging the values,
[tex] 8 = 2 \times a [/tex]
[tex] a = 4 \ m/s^2[/tex]
Hence, the magnitude of the acceleration is 4 m/s².
The direction of the acceleration can be determined by the net force. In this case the direction of [tex]f_1 [/tex] and [tex]f_2 [/tex] is not specified.
Therefore, the direction of the acceleration will be same as the direction of the net force.
