Question

6) If a mass of an object is decreased to half and acting force is reduced by quarter the acceleration of its motion

b) Increases to its doute
d) Remains constant
a) Remains constant,
c) Increases to its four times
​

Answer 1

Increases to its half.

Step-by-step explanation:

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;

Force = mass * acceleration

`Acceleration = \frac {Force}{mass}`

Given the following data;

Mass = Mass/2

Force = Force/4

Substituting into the formula, we have;

`Acceleration = \frac {\frac {Force}{4}}{\frac {Mass}{2}}`

`Acceleration = \frac {Force}{2mass}`

If a mass of an object is decreased to half and acting force is reduced by quarter, the acceleration of its motion increases to its half.