Question

What net force is required to give a $25 Kg$ suitcase an acceleration of $2.2 ms^{-2}$ to the right?

Answer 1

In the question, mass and acceleration of a suitcase is given and we have to find the net force on the suitcase. We will use Newton’s second law as it explains precisely how much a body will accelerate for a provided net force. Product of mass and acceleration gives the force that acted on the body.

Complete step-by-step solution:
Given: mass of suitcase, $m = 25 Kg$
acceleration of the suitcase $a = 2.2 ms^{-2}$
We will use newton’s law of motion-
$F = ma$
Where, m is the mass of the object.
a is the acceleration of the object.
Putting the value of m and a.
We get,
$F = 25 \times 2.2$
$\implies F = 55 N$
Hence, Net force is required to give a $25 Kg$ suitcase an acceleration of $2.2 ms^{-2}$ is $55 N$.
Additional Information: - Three Newton's motion laws explain the connection between an object's movement and the forces acting on it. The first law says that an object remains at rest or proceeds to move at a steady velocity unless worked upon by an outer force. The second law declares that the rate of change of momentum of an object is directly proportionate to the force applied. The third law tells that to every action, there is an equal and opposite reaction.

Note: The second law of motion presents a method to estimate the force pulling on an object equal to the multiplication of the object's mass and the object's acceleration, which is the change in velocity concerning time. It also tells that force is equal to the change in the rate of momentum.