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An object has an acceleration of 6.0 m/s/s. If the mass of this object were halved (i.e., reduced to one-half the original value) ( with no change in its net force), then its new acceleration would be _____ m/s/s? What would the new acceleration be ?

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mintuchoubay

The new acceleration is a=12 [tex]ms^{-2}[/tex]

Explanation:

THEORY: According to Newton's second law of motion

The magnitude of force is product of mass of body and it's acceleration.

F=Ma

where, F is force, M is mass and a is acceleration..

Given that,

An object has an acceleration of 6.0 [tex]ms^{-2}[/tex]

Let, a=6 and M=mass

So, Force F=Ma=6M

If the mass of object is reduced by half then, new mass will be M/2

It is given that there is no change in value of force F

So, Force F = (M/2)a'

Here a' is new acceleration

Replacing F value with 6M

we get,

6M=(M/2)a'

a'=12

Therefore, The new acceleration is a=12 [tex]ms^{-2}[/tex]

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