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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Sagot :

Cricetusidn

Answer:

The mass of the object will be "25 kg".

Step-by-step explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒ [tex]F = ma[/tex]

       [tex]=15\times 5[/tex]

       [tex]=75 \ N[/tex]

When, acceleration (a) = 3 m/s²

⇒ [tex]F = ma[/tex]

or,

⇒ [tex]m=\frac{F}{a}[/tex]

        [tex]=\frac{75}{3}[/tex]

        [tex]=25 \ kg[/tex]

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