The acceleration of the box is determined as 2.46 m/s².
How to calculate the acceleration of the box?
The acceleration of the box is calculated by applying the following formula for Newton's second law of motion as follows;
F(net) = ma
where;
- m is the mass of box
- a is the acceleration of the box
T cosθ - μmg = ma
where;
- T is the applied tension force
- θ is the direction of the force
- μ is coefficient of friction
The acceleration of the box is calculated as;
30 N x cos (10) - 0.05 x 10 kg x (9.8 m/s²) = 10 kg x (a)
24.64 = 10a
a = 2.46 m/s²