Question

If an unbalanced force of 12 newtons acts on a6-kilogram mass, the acceleration of the mass is?

Answer 1

Answer:

The acceleration of the mass is calculated to be as 2m/$s^{2}$ ,when an unbalanced force of 12 newtons acts on a 6kg mass.

Explanation:

Force F = 12N

Mass M = 6Kg

When the net force and mass of the object are known, the equation for acceleration can be simplified as a =$\frac{F}{m}$ to determine the acceleration of the mass.

Therefore by using the formula a = $\frac{F}{m}$ and substituting the values of force and mass,

Acceleration a = $\frac{12}6$

Acceleration a =  2 m/$s^{2}$

Hence,

The acceleration of the mass is calculated to be as 2 m/$s^{2}$,when an unbalanced force of 12 newtons acts on a 6kg mass.

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Answer 2

Answer:

The acceleration of the mass = 2 $ms^{-2}$

Explanation:

Vector Quantity: The quantities which have both magnitude and direction are called Vector Quantities.

Acceleration: Acceleration is defined as the rate of change in velocity with respect to time.

• Acceleration is a Vector Quantity.

Newton's Second Law:

Newton's second law states that the acceleration of an object produced by a net force is directly proportional to the magnitude of the net force in the same direction as the net force and inversely proportional to the mass of the object.

Mathematically it can be represented as,

     F = ma, where F is the Force, m is the mass, and a is the acceleration.

By the above equation, we can write,

                         a = F/m            ----------(i)

In the given numerical problem,

              Force(F) = 12N

              mass(m) = 6 kgs

    acceleration(a) = ?

By using equation(i),

          a = F/m

             = 12N/6kgs

             = 2kg($ms^{-2}$)/kg

Hence,

The acceleration of the mass = 2 $ms^{-2}$

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