Question

Object A has twice the mass of object B. Both objects are moving at the same speed. Which accurately describes how inertia relates to Newton’s second law of motion in this example? Object A has twice the mass of object B. Both objects are moving at the same speed.

A. Object A requires twice the force to stop as Object B.

B. Object A requires one-and-a-half times the force to stop as Object B.

C. Object A requires four times the force to stop as Object B.

Answer 1

A. Object A requires twice the force to stop as Object B.

Step-by-step explanation:

Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

`Acceleration = \frac {Net \; force}{mass}`

Let's assume the following values;

Mass of object B = 10 kg

Mass of object A = 2 * B = 2 * 10 = 20 kg

Acceleration = 5 m/s²

I. To find the force for B;

`Force = mass * acceleration`

`Force = 10 * 5`

Force B = 50 Newton

II. To find the force for A;

`Force = mass * acceleration`

`Force = 20 * 5`

Force A = 100 Newton

From the calculation, we can deduce that Force A (100 N) is twice or double the value of Force B (50 N).

In conclusion, since object A has twice the mass of object B and both objects are moving at the same speed, object A would require twice the force to stop as Object B.