Final answer:
To determine the acceleration of the dresser, we can use Newton's second law of motion. The net force can be calculated by subtracting the frictional force from the applied force. Using the net force and the mass of the dresser, the acceleration can be determined.
Step-by-step explanation:
To determine the acceleration of the dresser, we need to use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force pushing the dresser is the horizontal force applied by Julie, which is 553.0 N. The force of friction is given by the coefficient of friction (0.521) multiplied by the normal force (equal to the weight of the dresser, which is given as 629.0 N).
We can calculate the frictional force as follows:
Friction force = coefficient of friction * normal force
Friction force = 0.521 * 629.0 N
Friction force = 327.309 N
The net force acting on the dresser is given by:
Net force = applied force - friction force
Net force = 553.0 N - 327.309 N
Net force = 225.691 N
Using Newton's second law, we can find the acceleration of the dresser:
Net force = mass * acceleration
225.691 N = mass * acceleration
The mass of the dresser is not given, so we will need additional information to calculate the acceleration.