The magnitude and direction (relative to the x axis) of the acceleration of the object is 20.03 m/s² along x - axis.
How to calculate the magnitude of the acceleration?
The magnitude and direction (relative to the x axis) of the acceleration of the object is calculated as follows;
Fx = ma
The magnitude of the force along x - direction is calculated as;
Fx = F cos(θ)
Fx = 51 N x cos (45) + 40 N x cos (0)
Fx = 36.1 N + 40 N
Fx = 76.1 N
The magnitude of the acceleration is calculated as follows;
a = Fx / m
a = ( 76.1 N ) / ( 3.8 kg)
a = 20.03 m/s²