A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 189.0 N at an angle of 30.0◦ with the horizontal. The box has a mass of 39.0 kg, and the coefficient of kinetic friction between the box and floor is 0.370.

The acceleration due to gravity is 9.81 m/s2 .
What is the acceleration of the box? Answer in units of m/s2

1 answer

ok, the upward force is 189sin30, which reduces normal force.

net force=mass*(acceleration)
189Cos30-.370*(39g-189*sin30)=39 a
solve for a