Using simple rearrangement of Newton's second law, show that a net force of 77 N exerted on a 11-kg package is needed to produce an acceleration of 7.0 m/s2.

A net force of 11 kg is needed to produce an acceleration of 7.0 m/s²

Explanation:

Newton's Second Law: It states that the the rate of change of momentum of a body, is directly proportional to the applied force, and takes place along the direction of the the force.

From Newton's second law of motion, we can deduced that,

F = ma ... Equation 1.

Where F = Net force acting on the package, m = mass of the package, a = acceleration of the page.

From the question, when

F = 77 N, m = 11 kg.

a = F/m

a = 77/11

a = 7 m/s².

From the above, a net force of 11 kg is needed to produce an acceleration of 7.0 m/s²