Suppose a net force of 58 N is exerted on an object, and the resultant acceleration of the object is 2.0 m/s². What is the mass of the object?

A. 14.5 kg
B. 29 kg
C. 58 kg
D. 116 kg
E. 174 kg

Answer :

The mass of the object is B. 29kg.

To find the mass of the object, we can use Newton's second law of motion, which states that the force (F) acting on an object is equal to the mass (m) of that object multiplied by its acceleration (a). This can be expressed mathematically as:

[tex]F = m \times a[/tex]

Where:

  • [tex]F[/tex] = net force (in newtons)
  • [tex]m[/tex] = mass (in kilograms)
  • [tex]a[/tex] = acceleration (in meters per second squared)

In this case, we know the net force [tex]F[/tex] is 58 N and the acceleration [tex]a[/tex] is 2.0 m/s². We can rearrange the formula to solve for mass:

[tex]m = \frac{F}{a}[/tex]

Now, substituting the known values into the equation:

[tex]m = \frac{58 \text{ N}}{2.0 \text{ m/s}^2}[/tex]

Calculating this gives:

[tex]m = 29 \text{ kg}[/tex]