Question

A Force accelerates a body with an acceleration A, the same force accelerates another body with an acceleration of an If both the bodice combined and same force is applied then find the acceleration of combined mass.​

Answer 1

A force produces an acceleration of a

1

in a body and the same force produces an acceleration of a

2

in another body. If the two bodies are combined and the same force is applied on the combination, then the acceleration produced in it is

Medium

Solution

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Correct option is C)

Here, suppose two body has masses m

1

and m

2

.

According to the question,

F=m

1

a

1

and F=m

2

a

2

.

Now, if the two bodies are combined and the same force is applied on the combination, then:

F=ma

or F=(m

1

+m

2

)a

or F=(m

1

+m

2

)a

or F=(

a

1

F

+

a

2

F

)a

So, a=

a

1

+a

2

a

1

a

2