contestada

The masses of two objects are compared during a physics experiment. It is determined that object A has a mass of 4×10−3 grams and object B has a mass of 4×10−4 grams. How many times larger is the mass of object A than the mass of object B?




0.1


0.4


10


40

Respuesta :

Answer:

its 0.4

Step-by-step explanation:

The Mass of Object A is 10 times the Mass of Object B.

We have -

  • The mass of object A : [tex]4[/tex] × [tex]10^{-3}[/tex] [tex]grams[/tex]
  • The mass of object B : [tex]4[/tex] × [tex]10^{-4}[/tex] [tex]grams[/tex]

We have to find by how many times the mass of object A is larger than the mass of object B.

How can you compare the mass of two bodies?

Consider the following -

  • A body [tex]B_{1}[/tex] of mass [tex]M_{1}[/tex] [tex]Kg[/tex].
  • A body [tex]B_{2}[/tex] of mass [tex]M_{2}\; Kg[/tex].

Suppose that the mass of body [tex]B_{1}[/tex] is [tex]n\\[/tex] times the mass of body [tex]B_{2}[/tex]. We can write this statement mathematically as -

                                                  [tex]M_{1} \;=\;n\; M_{2}[/tex]

We can use the above equation to compare the mass of Object A and Object B. According to the question -

                                                 [tex]M_{A}\;=\;n\;M_{B}[/tex]

                                           [tex]4[/tex] × [tex]10^{-3}[/tex] = [tex]n[/tex] × ([tex]4[/tex] × [tex]10^{-4}[/tex])

On solving, we get -

                                                        [tex]n=10[/tex]

Hence, the mass of object A is 10 times the mass of object B.

To solve more similar questions on comparison of mass of two bodies, visit the following link -

https://brainly.com/question/17931103

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