Inverse variation? when a constant force acts upon an object, the acceleration of the object varies inversely with it’s mass. when a certain constant force acts upon an object with mass 4kg, the acceleration of the object is 14m/s^2. if the same force upon another object whose mass is 7kg. what is this objects acceleration?

An Inverse variation states that a relationship between two variables in which the product is always constant.

If one of the variable increases then the other decreases in proportion so that the product is unchanged.

if y is inversely proportional to x, then the equation is of the form

, where k is constant.

As per the given condition, A constant force acts upon an object, the acceleration of the object varies inversely with it's mass.

i.e,

By definition of inverse variation;

. ......[1]  ,where F is the constant force.

It is given that an object has mass(m)= 4kg and the acceleration of an object(a) = 14

Substitute these in [1] to find the constant force F;

or

Now, if the same force acts upon the another object whose mass (m) = 7 kg then calculate acceleration.

[1]⇒  

therefore, the acceleration of an another object is,