Question

A net force F acts on a mass m and produces an acceleration a. What mass would accelerate at a rate 8a if the force is decreased to F/2?​

Answer 1

The mass of the object if body accelerate at the rate 8 a is
`(m)/(16)`

Explanation:

Given as :

The net force = F Newton

The mass of the object = m kg

The acceleration = a m/s²

Now, As The force is define as the product of mass and velocity

So, F = m × a

Now, Again , if the acceleration = 8 a

and The force decrease to
`(F)/(2)` = 0.5 F

So, Let The mass = M

∵ F = m × a

∴ mass =
`(\textrm Force)/(\textrm acceleration)`

Or. M =
`(\textrm 0.5 F)/(\textrm 8 a)`

or, M =0.0625 ×
`(F)/(a)`

∴ M = 0.0625 × m =
`(m)/(16)`

so, The mass =
`(m)/(16)`

Hence The mass of the object if body accelerate at the rate 8 a is
`(m)/(16)` Answer