Question

A force gives a 5.0 kg object an acceleration of 2.0 m/s 2. The same force would give a 20 kg object an acceleration of _____. 0.5 m/s 2 2.0 m/s 2 4.9 m/s 2 8.0 m/s 2

Answer 1

The acceleration of the object is 0.5 m/s²

a is correct.

Step-by-step explanation:

Given that,

Mass of object = 5.0 kg

Acceleration
`a = 2.0 m/s^2`

Using newton's second law

The force is the product of the mass of the object and acceleration.

`F = ma`

Put the value of m and a

`F = 5.0*2.0`

`F = 10\ N`

Now, The same force would give a 20 kg object

So, Using newton's second law again

`F = ma`

The acceleration is

`a =(F)/(m)`

Put the value of m and F

`a = (10)/(20)`

`a =0.5 m/s^2`

Hence, The acceleration of the object is 0.5 m/s²