The magnitude of the acceleration of the box is about 5.54 m/s²
[tex]\texttt{ }[/tex]
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.
[tex]\large {\boxed {F = ma }[/tex]
F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
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:
[tex]\Sigma F_x = ma[/tex]
[tex]F_x - f = ma[/tex]
[tex]F \cos \theta - f = ma[/tex]
[tex]240 \cos 30^o - 41.5 = 30.0a[/tex]
[tex]120 \sqrt{3} - 41.5 = 30.0a[/tex]
[tex]\boxed{a \approx 5.54 \texttt{ m/s}^2}[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{ }[/tex]
Grade: High School
Subject: Physics
Chapter: Dynamics
