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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

Respuesta :

Answer:

The acceleration of the object is 0.5 m/s²

a is correct.

Explanation:

Given that,

Mass of object = 5.0 kg

Acceleration [tex]a = 2.0 m/s^2[/tex]

Using newton's second law

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

[tex]F = ma[/tex]

Put the value of m and a

[tex]F = 5.0\times2.0[/tex]

[tex]F = 10\ N[/tex]

Now, The same force would give a 20 kg object

So, Using newton's second law again

[tex]F = ma[/tex]

The acceleration is

[tex]a =\dfrac{F}{m}[/tex]

Put the value of m and F

[tex]a = \dfrac{10}{20}[/tex]

[tex]a =0.5 m/s^2[/tex]

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