When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 4kg, the acceleration of the object is 15/ms2. If the same force acts upon another object whose mass is 10kg, what is this object's acceleration?

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

Convert variation to equality

; Where F is the constant of variation (Force)

Make F the subject of formula;

When mass = 4kg; Acceleration = 15m/s²

When mass = 10kg; Substitute 60 for Force

Divide both sides by 10

Hence, the acceleration is

x/7.50 = 15

x= 7.50 / 15 divide

step-by-step explanation:

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: