Question

Tim and Jose are moving furniture. Tim pushes a 150 kg sofa with 300N force. As a result, Sofa's acceleration was __________ according to Newton's Second Law of motion. (F = ma)

Answer 1

As a result, Sofa's acceleration was 2 m/s² according to Newton's Second Law of motion.

Step-by-step explanation:

Newton's Second Law, also called the Fundamental Law of Dynamics, indicates that: "The change in motion is directly proportional to the printed motive force and occurs according to a straight line along which that force is printed." This means that the acceleration of a moving object depends on the amount of force applied to it at a given moment, in order to modify its trajectory or speed.

So, Newton's second law states that a body accelerates if a force is applied to it. The acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object:

F = m * a

where "m" is the mass of the object, "a" is the acceleration and "F" is the net force, that is, the vector sum of all the forces acting on the object.

In this case:

• F=300 N
• m=150 kg
• a=?

Replacing:

300 N = 150 kg*a

Solving;

300 N÷ 150 kg=a

2 m/s²=a

As a result, Sofa's acceleration was 2 m/s² according to Newton's Second Law of motion.