Question

A force of 15 newtons is applied to both Obect A with a mass of 25 kilograms and Object B with a mass of 50 kilograms. What is true about the acceleration of Object A and Object B?​

Answer 1

Hello!

The answer is: The acceleration of the object B is half of the object A.

Why?

We can solve this problem applying the Newton's Second Law, which states that the product of the mass and the acceleration of a body is equal to the force applied to that body.

$F=ma$

So,

For the object A, we have:

$F=15N\\m=25Kg$

Calculating the acceleration we have:

$a=\frac{F}{m}=\frac{15\frac{kg.m}{s^{2}}}{25Kg}=0.6\frac{m}{s^{2} }$[/tex]

For the object B, we have:

$F=15N\\m=50Kg$

Calculating the acceleration we have:

$a=\frac{F}{m}=\frac{15\frac{kg.m}{s^{2}}}{50Kg}=0.3\frac{m}{s^{2} }$[/tex]

Hence,

$ObjectA=0.6\frac{m}{s^{2}}\\\\ObjectB=0.3\frac{m}{s^{2}}$

So, what is true about the acceleration of object A and object B?

The answer is that the acceleration of the object B is half of the object A acceleration since the mass of the object B is two times the mass of the object A.

Have a nice day!