What is the ratio of mass a to mass b


Asked by wiki @ in Physics viewed by 126 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 @



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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