When a certain force is applied to the 1-kg standard mass its acceleration is 5.0 m/s^2. When the same force is applied to another object its acceleration is one-fifth as much. The mass of the object is:

Mass of the object = 5 kg.

Explanation:

Given:

Object 1:

Mass of the given object, = 1 kg

Acceleration of the object, = 5.0 m/s^2

Object 2:

Acceleration of the object, =

We have to find the mass of the object 2.

Let the mass be .

Now we will find the force on object 1 using Newton's second law .

⇒

⇒ kg.ms^-2

⇒ N

According to the question.

The same force is applied to object 2.

So,

⇒

⇒

⇒ Re-arranging.

⇒

⇒ Plugging the values.

⇒

⇒ kg.

The mass of the object where same force is applied is 5 kg.

f=ma newton

f=100x2.5=250n