What is the ratio of mass a to mass b

Asked by wiki @ 12/07/2022 in Physics viewed by 38 People

A constant force applied to object A causes it to accelerate at 5 m/s2. The same force applied to object B causes an acceleration of 3 m/s2. Applied to object C, it causes an acceleration of 7 m/s2.

A. Which object has the largest mass?B. Which object has the smallest mass?C. What is the ratio of mass A to mass B?

Answered by wiki @ 12/07/2022

A. The Object B has largest mass.

B. The Object A has smallest mass.

C. The ratio of mass A to mass B is, $\frac{3}{5}$

Newton second law of motion:

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

$F=ma\\\\m=\frac{F}{a}$

For constant force, mass is inversely proportional to acceleration of object.

Given that, acceleration of object A is $5m/s^{2}$ and object B is $3m/s^{2}$

Thus, Object B has largest mass.

Object A has smallest mass.

the ratio of mass A to mass B is,

$\frac{m_{A}}{m_{B}} =\frac{a_{B}}{a_{A}} =\frac{3}{5}$

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