A(n) 930 N crate is being pushed across a level floor by a force of 400 N at an angle of 20◦ above the horizontal. The coefficient of kinetic friction between the crate and the floor is 0.20. The acceleration of gravity is 9.81 m/s 2 . What is the magnitude of the acceleration of the box? Answer in units of m/s 2

The magnitude of the acceleration of the box is .

Explanation:

The free body diagram of the crate is included as attachment, whose equations of equilibrium are described below:

From second equation of equilibrium we find an expression for the normal force and find the respective value:

Lastly, the acceleration experimented by the crate during pushing is cleared in the first equation of equilibrium and consequently calculated:

The magnitude of the acceleration of the box is .