You want to move a heavy box with mass 30.0 kg across a carpeted floor. you pull hard on one of the edges of the box at an angle 30∘ above the horizontal with a force of magnitude 240 n, causing the box to move horizontally. the force of friction between the moving box and the floor has magnitude 41.5 n . what is the box's acceleration just after it begins to move?

The magnitude of the acceleration of the box is about 5.54 m/s²

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

Given:

mass of box = m = 30.0 kg

magnitude of force = F = 240 N

direction of force =

frictional force = f = 41.5 N

Asked:

acceleration of the box = a = ?

Solution:

We will use Newton's Law of Motion to solve this problem as follows:

Grade: High School

Subject: Physics

Chapter: Dynamics

the maxium height is 34m/s