Question

Two equal forces act on two different objects, one of which has a mass ten times as large as the other. Will the more massive object have a larger acceleration, an equal acceleration, or a smaller acceleration than the less massive object?

A. The larger mass has a larger acceleration since the ratio of the accelerations will be proportional to the ratio of the masses.
B. The larger mass has a smaller acceleration since the ratio of the accelerations will be the inverse of the ratio of the masses.
C. The acceleration of the larger mass is equal to the acceleration of the smaller mass since the ratio of the accelerations will be equal to the ratio of the masses.
D. There is not enough information to determine the relative accelerations.

Answer 1

option (B) is correct.

Step-by-step explanation:

Force acts on two bodies is same.

According to Newton's second law

force = mass x acceleration

acceleration of the body is inversely proportional to the mass of the body keeping the force constant.

So, the body having heavier mass has small acceleration as compared to the body has lighter mass.

option (B) is correct.

Answer 2

The larger mass has a smaller acceleration since the ratio of the accelerations will be the inverse of the ratio of the masses.

Step-by-step explanation:

It is given that,

Mass of object 1 is 10 times larger than the others. We know that according to Newton's second law of motion, the force is given by the product of mass and acceleration. Its formula is given by :

`F=m* a`

`m=(F)/(a)`

Mass of an object is inversely proportional to its acceleration. For two objects,

`(m_1)/(m_2)=(a_2)/(a_1)`

So, more massive object have a smaller acceleration than the less massive object. Hence, the correct option is (B).