Answer:
The mass of the object if body accelerate at the rate 8 a is [tex]\frac{m}{16}[/tex]
Step-by-step 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 [tex]\frac{F}{2}[/tex] = 0.5 F
So, Let The mass = M
∵ F = m × a
∴ mass = [tex]\frac{\textrm Force}{\textrm acceleration}[/tex]
Or. M = [tex]\frac{\textrm 0.5 F}{\textrm 8 a}[/tex]
or, M =0.0625 × [tex]\frac{F}{a}[/tex]
∴ M = 0.0625 × m = [tex]\frac{m}{16}[/tex]
so, The mass = [tex]\frac{m}{16}[/tex]
Hence The mass of the object if body accelerate at the rate 8 a is [tex]\frac{m}{16}[/tex] Answer
